Magnetica - Mathematica

Magnetica was developed under the scientific system Mathematica which is a powerful,fully integrated environment for technical computing. It offers the user access to a vast collection of algorithms as well as to a programming language. Magnetica is designed so that only a very limited knowledge of Mathematica is required.


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MagneticasoftMagnetica
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............................................................................................1 Magnetica .................................................................................1 Magnetica ..................................1 ................................................................................2 Magnetica ........................................................2 .................................................4 ............................................................................................4 ........................................................................................4 ..................................................................................6 .....................................................................................6 ................................................................................7 ...............................................................................9 ..........................................................................11 ..................................15 ............................................................................................15 .....................................................................................16 Given .................17 ...............................................20 ..........................................................23 .............................................................24 .......................................................................................26 .............29 .......................................................................................29 ....................................................................................31 User©
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................................................................184 .........................................................................................184 .....................184 ............188 ................................................................................................................................193 .......................198 ...........204 ................207 ...................................................212 .........................................................................................212 ..............................212 .....216 ...........................219 .........................223 .228 ........234 ................................................................240 .........................................................................................240 .........................240 Air ............242 ................................................................................................................................245 ................................................................................................................................249 ..........................252 Magnetica ..........................................................269 .........................................................................................269 Magnetica .............................................269 ........................................271 .........................................271 .....................................................................275 ........................................................................................278 Magnetica .............................................................................................................................................282 Magnetica .................................282 .....................................................................284 ............................................................................287 User©
................................................................................................................................290 ................................................................................................................................294 ................................................................................................................................299 ............................................................................304 Magnetica. ..............................................................308 .........................................................................................308 ................................308 Magnetica ......................................................................309 Magnetica ........................311 Magnetica .........................................................314 .........................................................................................314 MagneticaBasics ..............................................................314 MagneticaMaterials ........................................................316 MagneticaComponents .................................................317 .....................................319 Mathematica ..........................................319 Security ...................................................321Magnetica ...................................................................................324Introduction ......................................................................................................324AngularRange ................................................................................................324AXSBitterSolenoid .......................................................................................324AXSCircularLoop ..........................................................................................325AXSHardMagneticComponent ...............................................................326AXSLargeMagneticSource ......................................................................327AXSMagneticSystem ..................................................................................327AXSRigidMagneticComponent ..............................................................327AXSSoftMagneticComponent ................................................................328AXSSolenoid ..................................................................................................329CalculationMode ...........................................................................................330ComponentList ..............................................................................................330ComponentMeshing ....................................................................................330CondensedForm ...........................................................................................331ConductorDiameter .....................................................................................331ConductorHeightWidth ..............................................................................331ContourFieldMapContinuous ..................................................................331 User©
ContourFieldMap ..........................................................................................332ContourFieldMapPoints .............................................................................332ContributionType ..........................................................................................333CurrentIntensityUnit ....................................................................................333CurveType .......................................................................................................333DrawingRange ...............................................................................................333DrawIsoFieldLines .......................................................................................334DrawIsoFieldLinesZX .................................................................................334DrawSHLimits ................................................................................................335DrawSHLimitsZX ..........................................................................................335DrawSystem2D ..............................................................................................335DrawSystem2DZX,DrawSystem2DXY,… .........................................335DrawSystem3D ..............................................................................................336DrawSystem3DZXY,DrawSystem3DZX,… ......................................336DrawSystem ....................................................................................................337MagneticEnergyMatrix ...............................................................................337Extended ..........................................................................................................337FieldMapContinuous ...................................................................................338FieldMap ...........................................................................................................338FieldMapPoints ..............................................................................................339 .............................................339FieldPointOrigin .............................................................................................340FieldUnit ............................................................................................................340FilamentMode ................................................................................................340FillingFactor .....................................................................................................341 ...................................................341FluxInductanceMatrix .................................................................................341FluxUnit .............................................................................................................342 .....................342GradientUnit ....................................................................................................343HysteresisCycle .............................................................................................343InductanceCoupling ....................................................................................343InductanceMatrix ..........................................................................................344InductanceUnit ...............................................................................................344Irrelevant ...........................................................................................................344LegendreCoefficients .................................................................................345LegendreMode ..............................................................................................345LegendreOrder ..............................................................................................345LegendrePointPosition ..............................................................................346 User©
LegendreRadius ............................................................................................346LengthUnit ........................................................................................................346LinearLogMap ................................................................................................347LinearMap ........................................................................................................347LinearPermeability .......................................................................................347LogLinearMap ................................................................................................347LogLogMap .....................................................................................................347MagneticaCurrentUnits ..............................................................................347MagneticaUserUnits ....................................................................................348MagneticEnergyUnit ....................................................................................348MagnetizationAngle .....................................................................................348MagnetizationCurves ..................................................................................349MagnetizationTable .....................................................................................350MagnetizingFieldRange .............................................................................350MaterialMagnetizationCurves .................................................................350MaterialMagnetizationTable ....................................................................351MeshingLevel .................................................................................................352MagneticaCalculationMode .....................................................................352MutualMagneticEnergy ..............................................................................352MutualFluxInductance ................................................................................353MutualInductance .........................................................................................353NumberOfPoints ...........................................................................................354Operational ......................................................................................................354PlotScale ..........................................................................................................354 ....................355PotentialUnit ...................................................................................................355PowerUnit .........................................................................................................355PrecisionLevel ................................................................................................356Properties .........................................................................................................356RemanentMagnetization ...........................................................................356ResistanceUnit ...............................................................................................356ResonantCapacitor ......................................................................................357ResonantFrequency ....................................................................................357Rigid ....................................................................................................................357SelfMagneticEnergy ....................................................................................358SelfFluxInductance ......................................................................................358SelfInductance ...............................................................................................359SHLimits ............................................................................................................360ShowArrows ....................................................................................................360 User©
ShowCentralAxe ...........................................................................................360ShowSphericalLimits ..................................................................................360SphericalHarmonics ....................................................................................361SystemInductance .......................................................................................361SystemLabel ...................................................................................................361TableIsoFieldLines ......................................................................................361Temperature ...................................................................................................362TransformerAnalysis ...................................................................................362TransformerMagneticLosses ..................................................................363TurnsBrookCoil ..............................................................................................363VectorFieldMap .............................................................................................363VectorPotential ..............................................................................................364VerboseMagneticEnergyMatrix .............................................................364VerboseSHLimits ..........................................................................................364 ................................................................................................................................364 ................................................................................................................................365VerboseFluxInductanceMatrix ................................................................365 ................................................................................................................................366VerboseInductanceCoupling ...................................................................366VerboseInductanceMatrix ........................................................................366VerboseLegendreCoefficients ................................................................367VerboseMutualMagneticEnergy ............................................................367VerboseMutualFluxInductance ..............................................................367VerboseMutualInductance .......................................................................367VoltageUnit ......................................................................................................367 ................................................................................................................................368VerboseSelfMagneticEnergy ..................................................................368VerboseSelfFluxInductance ....................................................................369VerboseSelfInductance .............................................................................369VerboseSystemInductance .....................................................................369VerboseTransformerAnalysis .................................................................369VerboseTransformerMagneticLosses ................................................370X User©
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MathematicaNumberForm. Mathematica1. 30 [email protected],A30,10BCD0.0404502,0.147779E2. NumberForm Mathematica FieldPoint [email protected]@loop,A30,10BC,10CD0.04045022074,0.1477785966E3. FieldPoint Magnetica Verbose. [email protected],A30,10BCSystemname:helmholtzloopThemagneticfieldFinGaussGatthepointD30,10EFinMilliMeterGCalculationmode:AutomaticModeBrH0.625297GBz7.232273GBm7.259254G4. 4 I 30 on z [email protected],A30,10BCD0.0374576EI 30 [email protected],A30,10BCD2.05361E©
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b MagneticaCurrentUnits[]MagneticaCurrentUnitscdLengthMilliMeterMagneticfieldGaussMagneticpotentialMicroWebereMeterMagneticfluxMicroWeberMagneticfieldgradientGausseMeterInductanceMicroHenryMagneticenergyJouleMagneticmomentMicroAmpereMeter2CurrentintensityAmperePowerWattVoltageVoltElectricalResistanceOhm MagneticaUserUnits[unitsSpecifications]MagneticaUserUnitscLengthUnitfMeter,FieldUnitfMicroTesladgLengthUnithMeter,FieldUnithMicroTeslaiMagneticaUserUnitscd; ‚ b loopFilamentjAXSMagneticSystemckAXSCircularLoopcCopperOFHC,100,30,0,20,0.5,FillingFactorf0.7dld;©
DrawSystemmloopFilamentn;Systemname:loopFilament3DviewZYXo50050Xpmmqo50050Ypmmqo50050Zpmmqo50050Xpmmqo50050ZpmmqDrawSystem2D[loopFilament];o60o40o200204060Zpmmqo60o40o200204060RrmmsSystemname:loopFilament2DviewZRloopTubulartAXSMagneticSystemmuAXSCircularLoopmCopperOFHC,100,30,0,20,0.5,FillingFactorv0.7,FilamentModevFalsenwn;x rct0;zct0;FieldPointmloopFilament,urc,zcwnFieldPointmloopTubular,urc,zcwny0,1.25664zy0,1.24234z©
rc{0;zc{0;precis{12;NumberForm|FieldPoint|loopFilament,}rc,zc~,precisNumberForm|FieldPoint|loopTubular,}rc,zc~,precis€0,1.25663706144€0,1.24233619336rc{34;zc{5;precis{12;NumberForm|FieldPoint|loopFilament,}rc,zc~,precisNumberForm|FieldPoint|loopTubular,}rc,zc~,precis€0.375281174675,1.88938007184€0.350238376999,1.84736497195VerboseFieldPoint|loopFilament,}rc,zc~VerboseFieldPoint|loopTubular,}rc,zc~Systemname:loopFilamentThemagneticfield‚inGaussƒatthepoint€34,5‚inMilliMeterƒCalculationmode:AutomaticModeBr0.375281GBz1.889380GBm1.926290GSystemname:loopTubularThemagneticfield‚inGaussƒatthepoint€34,5‚inMilliMeterƒCalculationmode:AutomaticModeBr0.350238GBz1.847365GBm1.880272G„ ©
MagneticaCurrentUnits[]LengthMilliMeterMagneticfieldGaussMagneticpotentialMicroWeber…MeterMagneticfluxMicroWeberMagneticfieldgradientGauss…MeterInductanceMicroHenryMagneticenergyJouleMagneticmomentMicroAmpereMeter2CurrentintensityAmperePowerWattVoltageVoltElectricalResistanceOhmWarning:MagneticaUserUnits†FieldUnit‡MicroTeslaˆ;NumberForm†FieldPoint†loopFilament,‰rc,zcŠˆ,precisˆNumberForm†FieldPoint†loopTubular,‰rc,zcŠˆ,precisˆ‹37.5281174675,188.938007184Œ‹35.0238376999,184.736497195ŒVerboseFieldPoint†loopFilament,‰rc,zcŠˆVerboseFieldPoint†loopTubular,‰rc,zcŠˆSystemname:loopFilamentThemagneticfieldinMicroTeslaŽatthepoint‹34,5ŒinMilliMeterŽCalculationmode:AutomaticModeBr37.528117TBz188.938007TBm192.628996TSystemname:loopTubularThemagneticfieldinMicroTeslaŽatthepoint‹34,5ŒinMilliMeterŽCalculationmode:AutomaticModeBr35.023838TBz184.736497TBm188.027239TWarning:©
rc1;zc0.1;MagneticaUserUnits‘FieldUnit’MilliGauss,LengthUnit’Inch“;NumberForm‘FieldPoint‘loopFilament,”rc,zc•“,precis“NumberForm‘FieldPoint‘loopTubular,”rc,zc•“,precis“–84.29468977,1564.46423157—–80.1301301162,1537.48792788—VerboseFieldPoint‘loopFilament,”rc,zc•“VerboseFieldPoint‘loopTubular,”rc,zc•“Systemname:loopFilamentThemagneticfield˜inMilliGauss™atthepoint–1,0.1—˜inInch™Calculationmode:AutomaticModeBr84.294690mGBz1564.464232mGBm1566.733521mGSystemname:loopTubularThemagneticfield˜inMilliGauss™atthepoint–1,0.1—˜inInch™Calculationmode:AutomaticModeBr80.130130mGBz1537.487928mGBm1539.574606mGMagneticaUserUnits‘“;š MatrixForm,› › › ©
rcœ20;zcœ10;PotentialPointloopFilament,žrc,zcŸ PotentialPointloopTubular,žrc,zcŸ FluxArealoopFilament,žrc,zcŸ FluxArealoopTubular,žrc,zcŸ GradientPointloopFilament,žrc,zcŸ GradientPointloopTubular,žrc,zcŸ MatrixFormGradientPointloopFilament,žrc,zcŸ  MatrixFormGradientPointloopTubular,žrc,zcŸ  ¡1.24333¢¡1.22985¢¡0.156241¢¡0.154547¢¡¡£23.4458,12.9928¢,¡12.9928,14.4071¢¢¡¡£22.436,12.6559¢,¡12.6559,13.7413¢¢¤£23.445812.992812.992814.4071¥¤£22.43612.655912.655913.7413¥VerbosePotentialPointloopFilament,žrc,zcŸ VerbosePotentialPointloopTubular,žrc,zcŸ Systemname:loopFilamentThevectorpotential¦inMicroWeber§Meter¨atthepoint¡20,10¢¦inMilliMeter¨Calculationmode:AutomaticModePotential1.243329©Wb§mSystemname:loopTubularThevectorpotential¦inMicroWeber§Meter¨atthepoint¡20,10¢¦inMilliMeter¨Calculationmode:AutomaticModePotential1.229845©Wb§mVerboseFluxArealoopFilament,žrc,zcŸ VerboseFluxArealoopTubular,žrc,zcŸ Systemname:loopFilamentTheFluxArea¦inMicroWeber¨atthepoint¡20,10¢¦inMilliMeter¨Calculationmode:AutomaticModeFlux0.156241©WbSystemname:loopTubularTheFluxArea¦inMicroWeber¨atthepoint¡20,10¢¦inMilliMeter¨Calculationmode:AutomaticModeFlux0.154547©Wb©
VerboseGradientPointªloopFilament,«rc,zc¬­VerboseGradientPointªloopTubular,«rc,zc¬­Systemname:loopFilamentThegradientofthefield®inGauss¯Meter°atthepoint±20,10²®inMilliMeter°Calculationmode:AutomaticMode³Bz¯³z´23.445806G¯m³Bz¯³r12.992833G¯m³Br¯³z12.992833G¯m³Br¯³r14.407110G¯mSystemname:loopTubularThegradientofthefield®inGauss¯Meter°atthepoint±20,10²®inMilliMeter°Calculationmode:AutomaticMode³Bz¯³z´22.435978G¯m³Bz¯³r12.655928G¯m³Br¯³z12.655928G¯m³Br¯³r13.741288G¯m‚ µ unshieldedMRI¶AXSMagneticSystemª«AXSSolenoidªSuperNbTi4,1240,1280,300,180.05374474797077,635,735.2202­,AXSSolenoidªSuperNbTi4,1240,1280,300,·180.05374474797077,635,735.2202­,AXSSolenoidªSuperNbTi4,1240,1280,250,550.1194910091477,598,735.2202­,AXSSolenoidªSuperNbTi4,1240,1280,250,·550.1194910091477,598,735.2202­,AXSSolenoidªSuperNbTi4,1240,1320,250,874.8480174899299,1015,735.2202­,AXSSolenoidªSuperNbTi4,1240,1320,250,·874.8480174899299,1015,735.2202­¬,SystemLabel¸"unshieldedMRI1.5Tsuperconductingmagnet"­;©
DrawSystem¹unshieldedMRIºSystemname:unshieldedMRIunshieldedMRI1.5Tsuperconductingmagnet3DviewZYX»1000»50005001000X¼mm½»1000»50005001000Y¼mm½»1000»50005001000Z¼mm½1000»5000500X¼mm½1000»5000500Z¼mm½¾Graphics3D¾DrawSystem2D¹unshieldedMRIº;»1000»50005001000Z¼mm½»1000»50005001000R¿mmÀSystemname:unshieldedMRIunshieldedMRI1.5Tsuperconductingmagnet2DviewZRÁ ©
MagneticaUserUnits[];FieldPointOriginÂunshieldedMRIÃSystemname:unshieldedMRIThemagneticfieldÄinGaussÅattheoriginCalculationmode:AutomaticModeBr0.000000GBz15000.000068GBm15000.000068GNumberFormÂFieldPointÂunshieldedMRI,Æ0,250ÇÃ,9ÃÈ0,15000.7816ÉVerboseFieldPointÂunshieldedMRI,Æ0,250ÇÃSystemname:unshieldedMRIThemagneticfieldÄinGaussÅatthepointÈ0,250ÉÄinMilliMeterÅCalculationmode:AutomaticModeBr0.000000GBz15000.781583GBm15000.781583Grc=10;zc=8;MagneticaUserUnits[FieldUnitÊTesla,LengthUnitÊInch];NumberForm[FieldPoint[unshieldedMRI,{rc,zc}],9]È0.000413420999,1.49968351ÉVerboseFieldPointÂunshieldedMRI,Ærc,zcÇÃSystemname:unshieldedMRIThemagneticfieldÄinTeslaÅatthepointÈ10,8ÉÄinInchÅCalculationmode:AutomaticModeBr0.000413TBz1.499684TBm1.499684T rc=8;zc=4;�MagneticaUserUnits[PotentialUnit- Milli Weber/Meter,FluxUnitÊMilli Weber];NumberForm[PotentialPoint[unshieldedMRI,{rc,zc}],9]NumberForm[FluxArea[unshieldedMRI,{rc,zc}],9]È152.401168ÉÈ194.577163É©
VerbosePotentialPoint[unshieldedMRI,{rc,zc}]VerboseFluxArea[unshieldedMRI,{rc,zc}]Systemname:unshieldedMRIThevectorpotentialËinMilliWeberÌMeterÍatthepointÎ8,4ÏËinInchÍCalculationmode:AutomaticModePotential152.401168mWbÌmSystemname:unshieldedMRITheFluxAreaËinMilliWeberÍatthepointÎ8,4ÏËinInchÍCalculationmode:AutomaticModeFlux194.577163mWb‚ MapÐ Mathematica. MagneticaÑ FieldMap[]:plane.Ñ ContourFieldMap[]:Ñ VectorFieldMap[]: BÒÓÓMathematica FieldMapÔContinuous FieldMap FieldMapPointsFieldMap. FieldMapPoints Ð Space line,Õ Line[] Line[]Õ Plane[] Plane[]Õ Box[]©
Ö × × Ö BØÙÙDrawIsoFieldLines[] ‚ MapÖ 1. onMagneticaUserUnits[];FieldMap[loopFilament,{Bz},Line[{0,-100},{0,100}]];Ú100Ú50050100ZÛmmÜ0.20.40.60.811.2zBÝGÞSystemname:loopFilamentBzÛGÜÛContinuous,AutomaticModeÜbetweenß0.,Ú100.àandß0.,100.à2. Br, on �FieldMap[loopTubular,{Bz,Br,Bm},Line[{0,20},{100,20}],FieldUnit-Milli Gauss];©
020406080100Rámmâ02004006008001000zBãGmäSystemname:loopTubularBzámGâáContinuous,AutomaticModeâbetweenå0.,20.æandå100.,20.æ020406080100Rámmâ0200400600800rBãGmäSystemname:loopTubularBrámGâáContinuous,AutomaticModeâbetweenå0.,20.æandå100.,20.æ020406080100Rámmâ2004006008001000mBãGmäSystemname:loopTubularBmámGâáContinuous,AutomaticModeâbetweenå0.,20.æandå100.,20.æ3. on çè2é FieldMap[loopFilament,{Potential,Flux},Line[{20,0},{20,50}],FluxUnit-�Maxwell];©
01020304050Zêmmë0.60.811.2laitnetoPìíbWîmïSystemname:loopFilamentPotentialêðWbñmëêContinuous,AutomaticModeëbetweenò20.,0.óandò20.,50.ó01020304050Zêmmë6810121416xulFìxMïSystemname:loopFilamentFluxêMxëêContinuous,AutomaticModeëbetweenò20.,0.óandò20.,50.ó4. 4 on ôôr ôôzFieldMap[loopTubular,{GradZZ,GradZR,GradRZ,GradRR},Line[{20,-40},{20,40}]];õ40õ2002040Zêmmëõ20õ1001020ZZdarGìGîmïSystemname:loopTubularGradZZêGñmëêContinuous,AutomaticModeëbetweenò20.,õ40.óandò20.,40.ó©
ö40ö2002040Z÷mmøö505101520RZdarGùGúmûSystemname:loopTubularGradZR÷Gümø÷Continuous,AutomaticModeøbetweený20.,ö40.þandý20.,40.þö40ö2002040Z÷mmøö505101520ZRdarGùGúmûSystemname:loopTubularGradRZ÷Gümø÷Continuous,AutomaticModeøbetweený20.,ö40.þandý20.,40.þö40ö2002040Z÷mmøö15ö10ö5051015RRdarGùGúmûSystemname:loopTubularGradRR÷Gümø÷Continuous,AutomaticModeøbetweený20.,ö40.þandý20.,40.þÿ MagneticaUserUnits;©
1. onFieldMap[unshieldedMRI,{Bz},Line[{0,-800},{0,800}]];7505002500250500750Zmm13800140001420014400146001480015000zBGSystemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetBzGContinuous,AutomaticModebetween0.,800.and0.,800.2. Br, on �FieldMap[unshieldedMRI,{Bz,Br,Bm},Line[{0,20},{750,20}],FieldUnit-Milli Tesla];0100200300400500600700Rmm0250500750100012501500zBTmSystemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetBzmTContinuous,AutomaticModebetween0.,20.and750.,20.©
0100200300400500600700R mm\n 400 300 200 1000rB Tm\rSystemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetBr mT\n Continuous,AutomaticMode\nbetween0.,20.and750.,20.0100200300400500600700R mm\n200400600800100012001400mB Tm\rSystemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetBm mT\n Continuous,AutomaticMode\nbetween0.,20.and750.,20.3. on 2�FieldMap[unshieldedMRI,{Potential,Flux},Line[{200,-500},{200,500}],FluxUnit-Milli Weber];©
4002000200400Zmm149980150000150020150040150060150080150100laitnetoPbWmSystemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetPotentialWbmContinuous,AutomaticModebetween200.,500.and200.,500.4002000200400Zmm188.45188.475188.5188.525188.55188.575188.6188.625xulFbWmSystemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetFluxmWbContinuous,AutomaticModebetween200.,500.and200.,500.4. 4 on r zFieldMap[unshieldedMRI,{GradZZ,GradZR,GradRZ,GradRR},Line[{200,-400},{200,400}]];©
4002000200400Z mm!3002001000100200300ZZdarG"G#m$Systemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetGradZZ G%m! Continuous,AutomaticMode!between&200.,400.'and&200.,400.'4002000200400Z mm!10050050100150RZdarG"G#m$Systemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetGradZR G%m! Continuous,AutomaticMode!between&200.,400.'and&200.,400.'©
(400(2000200400Z)mm*(100(50050100150ZRdarG+G,m-Systemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetGradRZ)G.m*)Continuous,AutomaticMode*between/200.,(400.0and/200.,400.0(400(2000200400Z)mm*(300(200(1000100200300RRdarG+G,m-Systemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetGradRR)G.m*)Continuous,AutomaticMode*between/200.,(400.0and/200.,400.01 1. on on©
FieldMap[loopFilament,{Bz},Plane[{-20,5,-20},{20,5,20}]];Systemname:loopFilamentBz2G32Continuous,AutomaticMode3between4520.,5.,520.6and420.,5.,20.652051001020Z2mm352051001020X2mm311.11.21.31.4Bz2G320510010Z2mm32. onContourFieldMap[loopTubular,{Bz},Plane[{-20,0,-20},{20,0,20}]];52051001020Z2mm352051001020X7mm8Systemname:loopTubularBz2G32Continuous,AutomaticMode3between4520.,0.,520.6and420.,0.,20.63. on ©
ContourFieldMap[loopFilament,{Flux},Plane[{-20,-20},{20,20}]];92091001020Z:mm;92091001020Rmm=Systemname:loopFilamentFlux:�Wb;:Continuous,AutomaticMode;between?920.,[email protected]?20.,[email protected] onVectorFieldMap[loopFilament,Plane[{-20,-20},{20,20}]];92091001020Z:mm;92091001020Rmm=Systemname:loopFilamentvectorfield:Discrete,AutomaticMode;between?920.,[email protected]?20.,[email protected]©
A 1. on FieldMap[unshieldedMRI,{Bz,Bx,By},Plane[{-200,100,-200},{200,100,200}]];Systemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetBzBGCBContinuous,AutomaticModeCbetweenDE200.,100.,E200.FandD200.,100.,200.FE200E1000100200ZBmmCE200E1000100200XBmmC14998149991500015001BzBGC200E1000100ZBmmCSystemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetBxBGCBContinuous,AutomaticModeCbetweenDE200.,100.,E200.FandD200.,100.,200.FE200E1000100200ZBmmCE200E1000100200XBmmCE101BxBGC200E1000100ZBmmC©
Systemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetByGGHGContinuous,AutomaticModeHbetweenIJ200.,100.,J200.KandI200.,100.,200.KJ200J1000100200ZGmmHJ200J1000100200XGmmHJ0.500.5ByGGH200J1000100ZGmmH2. on ContourFieldMap[unshieldedMRI,{Bz},Plane[{-200,0,-200},{200,0,200}]];J200J1000100200ZGmmHJ200J1000100200XLmmMSystemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetBzGGHGContinuous,AutomaticModeHbetweenIJ200.,0.,J200.KandI200.,0.,200.K3. on ©
ContourFieldMap[unshieldedMRI,{Flux},Plane[{-200,-200},{200,200}]];N200N1000100200ZOmmPN200N1000100200RQmmRSystemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetFluxOSWbPOContinuous,AutomaticModePbetweenTN200.,N200.UandT200.,200.U4. onVectorFieldMap[unshieldedMRI,Plane[{-200,-200},{200,200}],NumberOfPoints-�10];N200N1000100200ZOmmPN200N1000100200RQmmRSystemname:unshieldedMRIunshieldedMRI1.5TsuperconductingmagnetvectorfieldODiscrete,AutomaticModePbetweenTN200.,N200.UandT200.,200.U©
Á ‚ V Magnetica Magnetica1. on2. V Space A DrawSHLimits.shows:W no W 2 Magnetica 2 ©
X 2 on 2 LegendrePointPositionYZ NMagneticacomputation.A LegendreCoefficients LegendreModeYtype LegendreRadiusYvalue Verbose ©
‚ [ ?AXSMagneticSystem\],,^,_a.:,,,,?LegendreRadius,.aa2.?LegendrePointPosition,Z`.?LegendreOrder[ ?SHLimits\_a,,?DrawSHLimits\_.,,,.?VerboseSHLimits\_a?LegendreCoefficients\,_.:`bac`bac],^©
?LegendreModea"""".?LegendreRadius,.aa2.‚d d ,e : 100e : 0 one : 30e : 20e : 0.5LoopFilamentOnfAXSMagneticSystemghAXSCircularLoopgCopperOFHC,100,30,0,20,0.5,FillingFactori0.7jk,SystemLabellnm"BasicLoop,Legendrepointoncenter"j;e o 100LoopFilamentOff= AXSMagneticSystem[{AXSCircularLoop[CopperOFHC, 100, 30, 0, 20, 0.5, FillingFactori0.7]}, SystemLabel� - "Basic Loop, Legendre point off center : 100 mm", LegendrePointPosition� - 100];d 1. SHLimits on©
SHLimits[LoopFilamentOn]pp35.,65.q,p32.55,74.1q,p25.55,89.05qq2. VerboseSHLimitsVerboseSHLimits[LoopFilamentOn]MinMaxConvergenceRegion35.65.LimitsforusingSH32.5574.1LimitsforAutomatic25.5589.053. 2 2.VerboseSHLimits[LoopFilamentOff]MinMaxConvergenceRegion96.8034126.803LimitsforusingSH90.0272144.556LimitsforAutomatic70.6665173.7214. 1 DrawSHLimits. shows 3 DrawSHLimitsrLoopFilamentOns;t75t50t250255075Zummvt75t50t250255075RwmmxSystemname:LoopFilamentOnBasicLoop,Legendrepointoncenter2DviewZR5. 2. 3 on 1.©
DrawSHLimitsyLoopFilamentOffz;{50050100150200250Z|mm}{150{100{50050100150R~mmSystemname:LoopFilamentOffBasicLoop,Legendrepointoffcenter:100mm2DviewZR€  2 21 1. LegendreCoefficients[LoopFilamentOn]‚‚1.25664,0,ƒ1.88496,0,2.35619,0,ƒ2.74889,0,3.09251,0,ƒ3.40176,0,3.68524,0,ƒ3.94847,0,4.19525,0,ƒ4.42831,0,4.64973„,‚0,0,1.25664,0,ƒ1.88496,0,2.35619,0,ƒ2.74889,0,3.09251,0,ƒ3.40176,0,3.68524,0,ƒ3.94847,0,4.19525,0,ƒ4.42831„„ 2 Mathematica ©
TableForm[Transpose[LegendreCoefficients[LoopFilamentOn]]]1.25664000…1.884961.25664002.35619…1.8849600…2.748892.35619003.09251…2.7488900…3.401763.09251003.68524…3.4017600…3.948473.68524004.19525…3.9484700…4.428314.19525004.64973…4.42831† two firstcentral=LegendreCoefficients[LoopFilamentOn][[1,1]]secondremote=LegendreCoefficients[LoopFilamentOn][[2,3]]1.256641.25664† LegendreCoefficients[LoopFilamentOn,FieldUnit‡Milli Tesla]ˆˆ0.125664,0,…0.188496,0,0.235619,0,…0.274889,0,0.309251,0,…0.340176,0,0.368524,0,…0.394847,0,0.419525,0,…0.442831,0,0.464973‰,ˆ0,0,0.125664,0,…0.188496,0,0.235619,0,…0.274889,0,0.309251,0,…0.340176,0,0.368524,0,…0.394847,0,0.419525,0,…0.442831‰‰ given VerboseLegendreCoefficients† 50† 32.55 74.1 † odd©
VerboseLegendreCoefficientsŠLoopFilamentOn,LegendreRadius‹Œ10,100,FieldUnit‹MilliTeslaŽSystemName:LoopFilamentOnSystemLegendreradius50.000mmPrintoutLegendreradiuscentral10.000mmPrintoutLegendreradiusremote100.000mmSystemLegendrecenterposition0.000mmInnersphericalradiuslimit32.550mmOutersphericalradiuslimit74.100mmSystemmagneticparityTrueSystemmagneticconstantfield0.000mTMode:absoluteFieldMilliTeslaOrdercentralcoeff.remotecoeff.D00.1256637060.000000000D10.0000000000.000000000D2‘0.0075398220.015707963D30.0000000000.000000000D40.000376991‘0.005890486D50.0000000000.000000000D6‘0.0000175930.001840777D70.0000000000.000000000D87.916813000e‘7‘0.000536893D90.0000000000.000000000D10‘3.483400000e‘80.000151001D110.0000000000.000000000D121.509500000e‘9‘0.000041525D130.0000000000.000000000D140.0000000000.000011246D150.0000000000.000000000D160.000000000‘3.012440900e‘6D170.0000000000.000000000D180.0000000008.001796000e‘7D190.0000000000.000000000D200.000000000‘2.111585000e‘7 LegendreSourceCoefficients LegendreMode’“ “ 2 ©
VerboseLegendreCoefficients”LoopFilamentOn,LegendreMode•RelativeMode–SystemName:LoopFilamentOnSystemLegendreradius50.000mmPrintoutLegendreradiuscentral50.000mmPrintoutLegendreradiusremote50.000mmSystemLegendrecenterposition0.000mmInnersphericalradiuslimit32.550mmOutersphericalradiuslimit74.100mmSystemmagneticparityTrueSystemmagneticconstantfield0.000GMode:relativeFieldtoD—0Ordercentralcoeff.remotecoeff.D01.0000000000.000000000D10.0000000000.000000000D2˜1.5000000001.000000000D30.0000000000.000000000D41.875000000˜1.500000000D50.0000000000.000000000D6˜2.1875000001.875000000D70.0000000000.000000000D82.460937500˜2.187500000D90.0000000000.000000000D10˜2.7070312502.460937500D110.0000000000.000000000D122.932617188˜2.707031250D130.0000000000.000000000D14˜3.1420898442.932617188D150.0000000000.000000000D163.338470459˜3.142089844D170.0000000000.000000000D18˜3.5239410403.338470459D190.0000000000.000000000D203.700138092˜3.523941040 LegendreSourceCoefficients LegendreRadius™{50,250}. š 111.803š 50 250š on ©
VerboseLegendreCoefficients›LoopFilamentOff,LegendreRadiusœ50,250žŸSystemName:LoopFilamentOffSystemLegendreradius111.803mmPrintoutLegendreradiuscentral50.000mmPrintoutLegendreradiusremote250.000mmSystemLegendrecenterposition100.000mmInnersphericalradiuslimit90.027mmOutersphericalradiuslimit144.556mmSystemmagneticparityFalseSystemmagneticconstantfield0.000GMode:absoluteField Gauss¡Ordercentralcoeff.remotecoeff.D00.1123970360.000000000D1¢0.1348764430.000000000D20.1011573320.010053096D3¢0.058446459¢0.012063716D40.0273124800.009047787D5¢0.010007832¢0.005227610D60.0023005430.002442902D70.000315611¢0.000895128D8¢0.0007858910.000205767D90.0005935060.000028229D10¢0.000325649¢0.000070292D110.0001428690.000053085D12¢0.000048500¢0.000029127D139.520563900e¢60.000012779D142.504379700e¢6¢4.337967600e¢6D15¢4.101340900e¢68.515451000e¢7D162.851425500e¢62.239985000e¢7D17¢1.479713500e¢6¢3.668351000e¢7D186.146857000e¢72.550393000e¢7D19¢1.931707000e¢7¢1.323496000e¢7D202.931600000e¢85.497920000e¢8£ space. 1. on ©
rc¤0;zc¤0;FieldPointSH¥LoopFilamentOn,¦rc,zc§¨FieldPointVP¥LoopFilamentOn,¦rc,zc§¨©0,1.25664ª©0,1.25664ª 2. rc¤32.1;zc¤5;precis¤12;NumberForm¥FieldPointSH¥LoopFilamentOn,¦rc,zc§¨,precis¨NumberForm¥FieldPointVP¥LoopFilamentOn,¦rc,zc§¨,precis¨©0.304110254339,1.78429083004ª©0.304058527682,1.78420370776ª 3.rc¤52;zc¤5;precis¤12;NumberForm¥FieldPointSH¥LoopFilamentOn,¦rc,zc§¨,precis¨NumberForm¥FieldPointVP¥LoopFilamentOn,¦rc,zc§¨,precis¨FieldPointSH:targetpoint¦52,5§notinthemeaningfuldomain.UseVectorPotentialorAutomaticmode$Aborted©0.401264093924,0.459497176316ª 4. lengthWarning:rc¤1.23;zc¤0.2;precis¤12;MagneticaUserUnits¥FieldUnit«MilliGauss,LengthUnit«Inch¨;NumberForm¥FieldPointSH¥LoopFilamentOn,¦rc,zc§¨,precis¨NumberForm¥FieldPointVP¥LoopFilamentOn,¦rc,zc§¨,precis¨©281.68064577,1739.24531252ª©281.64619312,1739.20232348ªMagneticaUserUnits[];5. on ©
---rc¬20;zc¬10;PotentialPointSH­LoopFilamentOn,®rc,zc¯°FluxAreaSH­LoopFilamentOn,®rc,zc¯°GradientPointSH­LoopFilamentOn,®rc,zc¯°MatrixForm­GradientPointSH­LoopFilamentOn,®rc,zc¯°°±1.24333²±0.156241²±±³23.4458,12.9928²,±12.9928,14.4071²²´³23.445812.992812.992814.4071µ¶ Map CalculationMode · SphericalHarmonics,1. 1 75 0 100 ¸.FieldMap[LoopFilamentOn,{Bz},Line[{0,75},{100,75}],CalculationMode-�SphericalHarmonics,�FieldUnit-Milli Gauss];020406080100R¹mmº50100150200zB»Gm¼Systemname:LoopFilamentOnBasicLoop,LegendrepointoncenterBz¹mGº¹Continuous,SphericalHarmonicsºbetween½0.,75.¾and½100.,75.¾2. ¿¿z on 5 30 ©
FieldMap[LoopFilamentOn,{GradZZ},Line[{5,-30},{5,30}],CalculationMode-�SphericalHarmonics];À30À20À100102030ZÁmmÂÀ20À1001020ZZdarGÃGÄmÅSystemname:LoopFilamentOnBasicLoop,LegendrepointoncenterGradZZÁGÆmÂÁContinuous,SphericalHarmonicsÂbetweenÇ5.,À30.ÈandÇ5.,30.È3. onFieldMap[LoopFilamentOn,{Bz},Plane[{-20,-20},{20,20}],CalculationMode-�SphericalHarmonics];Systemname:LoopFilamentOnBasicLoop,LegendrepointoncenterBzÁGÂÁContinuous,SphericalHarmonicsÂbetweenÇÀ20.,À20.ÈandÇ20.,20.ÈÀ20À1001020ZÁmmÂÀ20À1001020RÁmmÂ11.11.21.31.4BzÁGÂ20À10010ZÁmmÂ4. on ©
ContourFieldMap[LoopFilamentOn,{Flux},Plane[{-20,80},{20,120}],CalculationMode-�SphericalHarmonics];8090100110120ZÉmmÊË20Ë1001020RÌmmÍSystemname:LoopFilamentOnBasicLoop,LegendrepointoncenterFluxÉÎWbÊÉContinuous,SphericalHarmonicsÊbetweenÏË20.,80.ÐandÏ20.,120.Ђ aÑ Ñ superconducMRI=AXSMagneticSystem[{AXSSolenoid[SuperNbTi4, 1240, 1280, 300, 180.05374474797077, 635, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 300, -180.05374474797077, 635, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 250, 550.1194910091477, 598, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 250, -550.1194910091477, 598, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1320, 250, 874.8480174899299, 1015, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1320, 250, -874.8480174899299, 1015, 735.2202]}, SystemLabel� - "6 coils MRI 1.5 T superconducting magnet"];Ñ 1. VerboseSHLimits©
VerboseSHLimits[superconducMRI]MinMaxConvergenceRegion620.7281198.04LimitsforusingSH577.2771365.76LimitsforAutomatic453.1311641.312. shows 3DrawSHLimitsÒsuperconducMRIÓ;Ô1500Ô1000Ô500050010001500ZÕmmÖÔ1500Ô1000Ô500050010001500R×mmØSystemname:superconducMRI6coilsMRI1.5Tsuperconductingmagnet2DviewZRÙ Ú 909.383Ú 250 2500Ú 2 4 homogeneity.Ú low1.©
LegendreCoefficients[superconducMRI]ÛÛ15000.,1.36424Ü10Ý12,Þ0.000833933,Þ9.09495Ü10Ý13,Þ0.014836,2.6148Ü10Ý12,4842.9,3.18323Ü10Ý12,Þ49591.6,Þ2.16005Ü10Ý12,143440.,Þ2.95586Ü10Ý12,Þ267536.,0.,417936.,Þ1.97815Ü10Ý11,Þ772603.,Þ5.37739Ü10Ý11,1.87705Ü106,4.32578Ü10Ý11,Þ4.6495Ü106ß,Û0.,0.,11121.9,0.,27841.7,0.,13450.2,0.,Þ55676.4,0.,Þ107595.,7.27596Ü10Ý12,5175.1,0.,285436.,0.,356796.,0.,Þ275331.,0.,Þ1.29054Ü106ßß2. Mathematica Chop[LegendreCoefficients[superconducMRI]][[1]]Û15000.,0,Þ0.000833933,0,Þ0.014836,0,4842.9,0,Þ49591.6,0,143440.,0,Þ267536.,0,417936.,0,Þ772603.,0,1.87705Ü106,0,Þ4.6495Ü106ß3. 250 2500 ©
VerboseLegendreCoefficientsàsuperconducMRI,LegendreRadiusánâã250,2500äåSystemName:superconducMRISystemLegendreradius909.383mmPrintoutLegendreradiuscentral250.000mmPrintoutLegendreradiusremote2500.000mmSystemLegendrecenterposition0.000mmInnersphericalradiuslimit577.277mmOutersphericalradiuslimit1365.764mmSystemmagneticparityTrueSystemmagneticconstantfield0.000GMode:absoluteFieldæGaussçOrdercentralcoeff.remotecoeff.D015000.0000678870.000000000D10.0000000000.000000000D2è0.000063026535.302033980D30.0000000000.000000000D4è0.000084740177.308722411D50.0000000000.000000000D62.09056450211.333837233D70.0000000000.000000000D8è1.617905108è6.207741387D90.0000000000.000000000D100.353671288è1.587330253D110.0000000000.000000000D12è0.0498538940.010102023D130.0000000000.000000000D140.0058859070.073724575D150.0000000000.000000000D16è0.0008223290.012193769D170.0000000000.000000000D180.000150991è0.001245048D190.0000000000.000000000D20è0.000028266è0.000772176é 1.rcê200;zcê150;precisê12;MagneticaUserUnitsàFieldUnitëTeslaå;NumberFormàFieldPointSHàsuperconducMRI,ãrc,zcäå,precisåNumberFormàFieldPointVPàsuperconducMRI,ãrc,zcäå,precisåì0.0000871959865189,1.49999340293íì0.000087195906579,1.49999340298í2. function:©
rcî3000;zcî1000;MagneticaUserUnitsïFieldUnitðGaussñ;VerboseFieldPointïsuperconducMRI,òrc,zcó,CalculationModeðSphericalHarmonicsñVerboseFieldPointïsuperconducMRI,òrc,zcó,CalculationModeðVectorPotentialñSystemname:superconducMRIThemagneticfieldôinGaussõatthepointö3000,1000÷ôinMilliMeterõCalculationmode:AutomaticModeBr96.176960GBzø89.661038GBm131.488058GSystemname:superconducMRIThemagneticfieldôinGaussõatthepointö3000,1000÷ôinMilliMeterõCalculationmode:AutomaticModeBr96.176960GBzø89.661038GBm131.488058G3. 0 200 FieldMap[superconducMRI,{Bz},Line[{0,-200},{0,200}],CalculationMode-�SphericalHarmonics,�FieldUnit- Tesla];ù200ù1000100200Zúmmû1.51.500011.500011.500021.500021.500031.50003zBüTýSystemname:superconducMRI6coilsMRI1.5TsuperconductingmagnetBzúTûúContinuous,SphericalHarmonicsûbetweenþ0.,ù200.ÿandþ0.,200.ÿ4. on ©
FieldMap[superconducMRI,{Bz},Plane[{-250,-250},{250,250}],CalculationMode-�SphericalHarmonics,�FieldUnit-Milli Tesla];Systemname:superconducMRI6coilsMRI1.5TsuperconductingmagnetBzmTContinuous,SphericalHarmonicsbetween250.,250.and250.,250.2000200Zmm2000200Rmm1499.251499.51499.751500BzmT2000200Zmm5. onContourFieldMap[superconducMRI,{Bz},Plane[{-250,-250},{250,250}],CalculationMode-�SphericalHarmonics];2001000100200Zmm2001000100200RmmSystemname:superconducMRI6coilsMRI1.5TsuperconductingmagnetBzGContinuous,SphericalHarmonicsbetween250.,250.and250.,250.©
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: : : ;?AXSRigidMagneticComponent,,,,,=aa�,?,�?2D:,,,?RemanentMagnetization,�[email protected]tic,FillingFactorC1,MagnetizationAngleC0,TemperatureCAutomaticD Magnetica Properties Magnetica?Properties,=a.EGFEGF,s.?,=.EGF MagneticaUserUnits[...] MagneticaCurrentUnits[]©
MagneticaCurrentUnits[]LengthMilliMeterMagneticfieldGaussMagneticpotentialMicroWeberHMeterMagneticfluxMicroWeberMagneticfieldgradientGaussHMeterInductanceMicroHenryMagneticenergyJouleMagneticmomentMicroAmpereMeter2CurrentintensityAmperePowerWattVoltageVoltElectricalResistanceOhm Properties?PropertiesI,Ja.KGLKGL,s.?I,J.KGL?ComponentsListaa.a,KGLM1,3,6N,a.KGLM1,2,M7,N,NKGLM1,2,7,8,9,,NO Magnetica Ferrit2) P 4200 334200P Hcoer 254600P Qpr 0.10 Q 0.20©
Properties[Ferrit2]MaterialpropertiesmaterialnameFerrit2materialcategoryPermanentmagnetdesignationFerriteO2R42S32TGeneralPhysicalPropertiesspecificweightRgScm3T4.900000dilationcoefficientRrelativelinearchangeT0.000013resistivityROhmxcmT0.000250Coefficienttemperatureresistivity0.001000MagneticPhysicalPropertiesintrinsicremanentmagneticfieldRGT4200.000000intrinsiccoercivefieldRGTU3200.000000principaldynamicrelativesusceptibility0.100000secondaryrelativesusceptibility0.200000temperaturecoefficientsusceptibility0.000000temperaturecoefficientremanentfieldU0.002000temperaturecoefficientcoercivefield0.004000 MaterialMagnetizationCurvesargument.MaterialMagnetizationCurves[Ferrit2,{Mprincipal,Mtransversal}]V4000V2000020004000HmMagnetizingFieldWGXV4000V2000020004000MlapicnirpYGZMaterialMagnetizationCurveFerrit2temperature20°celsiusFerriteO2W42[32XMMagnetizationPrincipalfWHmXV4000V2000020004000HmMagnetizingFieldWGXV1000V50005001000MlasrevsnartYGZMaterialMagnetizationCurveFerrit2temperature20°celsiusFerriteO2W42[32XMMagnetizationTransversalfWHmX©
\ 1.barmagnet1]AXSMagneticSystem^_AXSRigidMagneticComponent^Ferrit2,0,20,80,0`a,SystemLabelbdc"Ferrit2longbarmagnet,erigidmagnetizationf"`;2. likebarmagnet2]AXSMagneticSystem^_AXSRigidMagneticComponent^Ferrit2,0,20,10,0`a,SystemLabelbdc"Ferritshortbarmagnet,erigidmagnetizationf"`;3. 4000barmagnet3]AXSMagneticSystem^_AXSRigidMagneticComponent^Ferrit2,0,20,80,0,RemanentMagnetizationbdc4000`a,SystemLabelbdc"Ferritlongbarmagnet,erigidmagnetizationat4000gf"`;4. 1. 26738.030 1000 0.01 26.73803ampbar1]26.7380304394;solequivbar1]AXSMagneticSystem^_AXSSolenoid^CopperOFHC,19.99,20.01,80,0,1000,ampbar1,FillingFactorg0.7`a,SystemLabelbdc"solenoidequivalentlongbarcase1"`;\ ©
DrawSystem2Dhbarmagnet1,ShowArrowsiTruej;k40k2002040Zlmmmk40k2002040RnmmoSystemname:barmagnet1Ferrit2longbarmagnet,lrigidmagnetizationm2DviewZRDrawSystem2D[solequivbar1];k40k2002040Zlmmmk40k2002040RnmmoSystemname:solequivbar1solenoidequivalentlongbarcase12DviewZR©
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GeneralpropertiesSystemname:barmagnet1SystemmagneticparityTrueSystemLegendreradius20.6155MagneticfieldattheoriginxGyz0,4074.6{FieldmagnitudeattheoriginxGy4074.6SystemmassxKgy0.12315SystemnominalpowerxWy0SystemeffectivepowerxWy0Numberofcomponents1Numberofcomponentswithrigidmagnetization11TypeofcomponentcylindricalrigidmagnetGeometryofthecylindricalmagneticstructureNominalinnerdiameterxmmy0.00000Effectiveinnerdiameterxmmy0.00000Nominalouterdiameterxmmy20.00000Effectiveouterdiameterxmmy20.00000Nominalmeandiameterxmmy10.00000Nominalaxiallengthxmmy80.00000Effectiveaxiallengthxmmy80.00000MagneticspecificationsofthestructureMaterialFerriteO2x42|32yMaterialtemperaturex°Celsiusy20.00000IntrinsicandeffectivemagneticpropertiesRemanentmagneticfieldxGy4200.00000CoercivemagneticfieldxGy}3200.00000Dynamicprincipalsusceptibility0.10000Secondarysusceptibility0.20000Angleofmagnetizationxdegreesy0.00000AxialmagnetizationxGy4200.00000RadialmagnetizationxGy0.00000Effectiveremanentmagnet.fieldxGy4200.00000EffectivecoercivefieldxGy}3200.00000TechnicalspecificationsofthestructureNominalresistivityx~cmy0.00025Materialmassdensityxg|cm^3y4.90000Fillingfactorofwindingx%y100.00000Massofthematerialxkgy0.12315Nominalmagnetresistancex~y0.00010Positionofthestructure€inthereferentialspacesystemStructurecentercoord.Zxmmy0.00000Effectiveinnerradiusxmmy0.00000Effectiveouterradiusxmmy10.00000EffectivelowerZextremumxmmy}40.00000EffectivehigherZextremumxmmy40.00000©
Properties[solequivbar1,ComponentsList-�All]GeneralpropertiesSystemname:solequivbar1SystemmagneticparityTrueSystemLegendreradius25.6136Magneticfieldattheorigin‚Gƒ„0,4074.6…Fieldmagnitudeattheorigin‚Gƒ4074.6Systemmass‚Kgƒ0.0000392322Systemnominalpower‚Wƒ1.10631†107Systemeffectivepower‚Wƒ1.10631†107Numberofcomponents1Numberofcurrentcarryingcomponent11Typeofcomponent:cylindricalsolenoidGeometryofthecylindricalcurrentsolenoidNominalinnerdiameter‚mmƒ19.99000Effectiveinnerdiameter‚mmƒ19.99000Nominalouterdiameter‚mmƒ20.01000Effectiveouterdiameter‚mmƒ20.01000Nominalmeandiameter‚mmƒ20.00000Nominalaxiallength‚mmƒ80.00000Effectiveaxiallength‚mmƒ80.00000WindingspecificationsMaterial:highconductivityOFHCCopperWindingtemperature‚°Cƒ20.00000Nominalresistivity‚‡ˆcmƒ1.72400e‰6Effectiveresistivity1.72400e‰6Nominalvolumerelativesusceptibility‰6.10000e‰7Effectivesusceptibility‰6.10000e‰7Materialmassdensity‚gŠcm^3ƒ8.92000Fillingfactorofwinding‚%ƒ70.00000Massofthematerial‚kgƒ0.00004Positionofthesolenoid‹inthereferentialspacesystemŒSolenoidcentercoord.Z‚mmƒ0.00000Effectiveinnerradius‚mmƒ9.99500Effectiveouterradius‚mmƒ10.00500EffectivelowerZextremum‚mmƒ‰40.00000EffectivehigherZextremum‚mmƒ40.00000ElectricalspecificationsofthesolenoidNumberofturns‚inseriesƒ1000.00000Directionaccordingtherighthandrule:counterclockwiseDirectionoftheturnsTypeofcurentdensityconstantCurrent‚perturnsƒ‚Aƒ26.73803Totalwindingcurrent‚Aˆturnsƒ26738.03044©
ConductorcurrentdensityŽAmm^2381971.86342NominalsolenoidresistanceŽ‘15474.58781Effectivesolenoidresist.Ž‘15474.58781NominalvoltagedropŽV413760.00000EffectivevoltagedropŽV413760.00000NominalsolenoidpowerŽW1.10631e7EffectivesolenoidpowerŽW1.10631e7ConductordimensionsConductorgeometrycircularEffectiveconductordiameterŽmm0.00944NominalconductorlengthŽmm62831.85307EffectiveconductorlengthŽmm62831.85307’ magnet.1. on denomination 6 on denomination, global 2 . FieldPoint“barmagnet1,”0,0•–—0,4074.6˜ FieldPoint“solequivbar1,”0,0•–—0,4074.6˜FieldPoint“barmagnet3,”0,0•–—0,3880.57˜©
FieldPoint™barmagnet2,š0,0›œ0,1878.3ž ŸŸz 2. 2100 precis 12;NumberForm™FieldPoint™barmagnet1,š0,40›œ,precisœ0,2083.7835411žprecis 12;NumberForm™FieldPoint™barmagnet2,š0,5›œ,precisœ0,1484.92424049ž¡ 1. 1, shows non ©
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VerboseLegendreCoefficientsªbarmagnet1,LegendreRadius«d¬­100,100®¯SystemName:barmagnet1SystemLegendreradius20.616mmPrintoutLegendreradiuscentral100.000mmPrintoutLegendreradiusremote100.000mmSystemLegendrecenterposition0.000mmInnersphericalradiuslimit0.000mmOutersphericalradiuslimit47.003mmSystemmagneticparityTrueSystemmagneticconstantfield0.000GMode:absoluteField°Gauss±Ordercentralcoeff.remotecoeff.D00.0000000000.000000000D10.0000000000.000000000D20.00000000016.800000000D30.0000000000.000000000D40.0000000005.124000000D50.0000000000.000000000D60.0000000001.091790000D70.0000000000.000000000D80.0000000000.189601650D90.0000000000.000000000D100.0000000000.027383573D110.0000000000.000000000D120.0000000000.003097785D130.0000000000.000000000D140.0000000000.000194743D150.0000000000.000000000D160.000000000²0.000023209D170.0000000000.000000000D180.000000000²0.000011651D190.0000000000.000000000D200.000000000²2.738973900e²6³ Map1. 1, on Br stays Br onFieldMapªbarmagnet1,­Bz,Br,Bm®,Lineª­«30,40®,­30,40®¯¯;©
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Ç30Ç20Ç100102030RÈpointsÉÇ1500Ç1000Ç500050010001500rBÊGËSystemname:barmagnet1Ferrit2longbarmagnet,ÈrigidmagnetizationÉBrÈGÉÈDiscrete,AutomaticModeÉbetweenÌÇ30.,40.ÍandÌ30.,40.ÍÇ30Ç20Ç100102030RÈpointsÉ5001000150020002500mBÊGËSystemname:barmagnet1Ferrit2longbarmagnet,ÈrigidmagnetizationÉBmÈGÉÈDiscrete,AutomaticModeÉbetweenÌÇ30.,40.ÍandÌ30.,40.Í3. 1, on x 25©
ContourFieldMapÎbarmagnet1,ÏFluxÐ,PlaneÎÏÑ30,Ñ50Ð,Ï30,50ÐÒ,NumberOfPointsÓ25Ò;Ô40Ô2002040ZÕmmÖÔ30Ô20Ô100102030R×mmØSystemname:barmagnet1Ferrit2longbarmagnet,ÕrigidmagnetizationÖFluxÕÙWbÖÕContinuous,AutomaticModeÖbetweenÚÔ30.,Ô50.ÛandÚ30.,50.Û4. 2, onContourFieldMapÎbarmagnet2,ÏFluxÐ,PlaneÎÏÑ30,Ñ50Ð,Ï30,50ÐÒ,NumberOfPointsÓ25Ò;Ô40Ô2002040ZÕmmÖÔ30Ô20Ô100102030R×mmØSystemname:barmagnet2Ferritshortbarmagnet,ÕrigidmagnetizationÖFluxÕÙWbÖÕContinuous,AutomaticModeÖbetweenÚÔ30.,Ô50.ÛandÚ30.,50.Û5. 1, on©
DrawIsoFieldLinesÜbarmagnet1,Ý30,20,10,5,1Þ,AngularRangeßÝ0,360Þ,NumberOfPointsß40,FieldUnitßGaussà;á200á1000100200Zâmmãá200á1000100200RämmåSystemname:barmagnet1Ferrit2longbarmagnet,ârigidmagnetizationãMagneticisoFieldlinesFieldmagnitudeâGãæ30.,20.,10.,5.,1.ç2DviewZR‚ è è ?MeshingLevel.é1êGë,2êGëéì,3êGë,4êGëì?AXSHardMagneticComponentí,,,,,,,îaaé,ì,éì2D:,,,©
?Rigid.ïGðñò?ComponentMeshing.ïGðïGðó,ô.?MagnetizationTableõ,öñ,òïGðóôóó1,3ôôïGðó1,2,3ôóó1,3ôôïGð÷ïGð÷?MagnetizationCurvesõ,,öñ,ò.,,,,,,,,,,,,,,,,,,.ïGðóôïGðóôïGðóôóó1,3ôôïGðñ÷òø 1barmagnetmesh1ùAXSMagneticSystemúûAXSHardMagneticComponentúFerrit2,0,20,80,0üý,SystemLabelþ"Ferritlongbarmagnet,ÿmeshinglevel1",MeshingLevelþ1ü; 2barmagnetmesh2ùAXSMagneticSystemúûAXSHardMagneticComponentúFerrit2,0,20,80,0üý,SystemLabelþ"Ferritlongbarmagnet,ÿdefaultmeshinglevel"ü; 3barmagnetmesh3ùAXSMagneticSystemúûAXSHardMagneticComponentúFerrit2,0,20,80,0üý,SystemLabelþ"Ferritlongbarmagnet,ÿmeshinglevel3",MeshingLevelþ3ü;©
4 timebarmagnetmesh4AXSMagneticSystemAXSHardMagneticComponentFerrit2,0,20,80,0,SystemLabel"Ferritlongbarmagnet,meshinglevel4",MeshingLevel4; Properties[barmagnetmesh3,ComponentsList-�All]GeneralpropertiesSystemname:barmagnetmesh3SystemmagneticparityFalseSystemLegendreradius20.6155Magneticfieldattheorigin\nG 0,4060.33\rFieldmagnitudeattheorigin\nG 4060.33Systemmass\nKg 0.12315Systemnominalpower\nW 0Systemeffectivepower\nW 0Numberofcomponents1Numberofferromagnetic\nnonrigid components1Numberofcomponentswithpermanentmagnetization1n°typefirstcelllastcellradialcellsaxialcells1permanent1362181TypeofcomponentcylindricalpermanentmagnetAutomaticmeshingGeometryofthecomponentNominalinnerdiameter\nmm 0.00000Effectiveinnerdiameter\nmm 0.00000Nominalouterdiameter\nmm 20.00000Effectiveouterdiameter\nmm 20.00000Nominalmeandiameter\nmm 10.00000Nominalaxiallength\nmm 80.00000Effectiveaxiallength\nmm 80.00000MagneticspecificationsofthecomponentMaterialFerriteO2\n4232 Materialtemperature\n°Celsius 20.00000IntrinsicandeffectivemagneticpropertiesMagnetmagnetizationfunctionlinearRemanentmagneticfield\nG 4200.00000Coercivemagneticfield\nG 3200.00000Dynamicprincipalsusceptibility0.10000Secondarysusceptibility0.20000Angleofmagnetization\n°C 0.00000©
Angleofmagnetization°C0.00000AxialmagnetizationG4200.00000RadialmagnetizationG0.00000Effectiveremanentmagnet.fieldG4200.00000EffectivecoercivefieldG3200.00000TechnicalspecificationsofthecomponentNominalresistivitycm0.00025Materialmassdensitygcm^34.90000Fillingfactorofstructure%100.00000Massofthematerialkg0.12315Nominalmagnetresistance0.00010PositionofthecomponentinthereferentialspacesystemStructurecentercoord.Zmm0.00000Effectiveinnerradiusmm0.00000Effectiveouterradiusmm10.00000EffectivelowerZextremummm40.00000EffectivehigherZextremummm40.00000 1.  5, 1 4056.77 FieldPointbarmagnetmesh1,0,00,4056.77 6, 2 4057.11 FieldPointbarmagnetmesh2,0,00,4057.11 7, 4060.33 FieldPointbarmagnetmesh3,0,00,4060.33 8, 4 4060.94 FieldPointbarmagnetmesh4,0,00,4060.942. 3 2000.25 FieldPointbarmagnetmesh3,0,400,2000.25©
! VerboseLegendreCoefficients"barmagnetmesh3,LegendreRadius#$100,100%&SystemName:barmagnetmesh3SystemLegendreradius20.616mmPrintoutLegendreradiuscentral100.000mmPrintoutLegendreradiusremote100.000mmSystemLegendrecenterposition0.000mmInnersphericalradiuslimit0.000mmOutersphericalradiuslimit47.003mmSystemmagneticparityFalseSystemmagneticconstantfield0.000GMode:absoluteField'Gauss(Ordercentralcoeff.remotecoeff.D00.0000000000.000000000D10.0000000000.000000000D20.00000000016.636205723D30.0000000000.000000000D40.0000000005.017886078D50.0000000000.000000000D60.0000000001.058261930D70.0000000000.000000000D80.0000000000.181714748D90.0000000000.000000000D100.0000000000.025854087D110.0000000000.000000000D120.0000000000.002846702D130.0000000000.000000000D140.0000000000.000160543D150.0000000000.000000000D160.000000000)0.000026667D170.0000000000.000000000D180.000000000)0.000011762D190.0000000000.000000000D200.000000000)2.679633100e)6 Map1. on 40©
FieldMap*barmagnetmesh3,+Bz,,Line*+0,30,,+0,50,--;3035404550Z.mm/100015002000250030003500zB0G1Systemname:barmagnetmesh3Ferritlongbarmagnet,.meshinglevel3/Bz.G/.Continuous,AutomaticMode/between20.,30.3and20.,50.32. on x 25ContourFieldMap*barmagnetmesh3,+Flux,,Plane*+430,450,,+30,50,-,NumberOfPoints525-;64062002040Z.mm/6306206100102030R0mm1Systemname:barmagnetmesh3Ferritlongbarmagnet,.meshinglevel3/Flux.7Wb/.Continuous,AutomaticMode/between2630.,650.3and230.,50.38 Magnetization- MagnetizationTable ©
9 9 9 global direction9 F :9 CondensedForm1. 1 3 7MagnetizationTable[barmagnetmesh3,CellsList-�{1,2,3},CondensedForm-�True]n°typefirstcelllastcellradialcellsaxialcells1permanent136218Lengthunit:mmFunctionalMagnetizationIntensityunit;M:GFunctionalMagnetizingfieldunit;H:GInductionfieldunit;B:Gtyperadialdim.axialdim.radialpos.axialpos.MrMzmagnitudeCell1Comp.1permanent5.4.444440=37.77780.4041.874041.87Cell2Comp.1permanent5.4.444440=33.33330.4108.754108.75Cell3Comp.1permanent5.4.444440=28.88890.4145.794145.792. 26 29 7©
MagnetizationTable[barmagnetmesh3,FullDetails-�True,CellsList-�{{26,29}},CondensedForm-�True]n°typefirstcelllastcellradialcellsaxialcells1permanent136218Lengthunit:mmFunctionalMagnetizationIntensityunit�M?:GFunctionalMagnetizingfieldunit�H?:GInductionfieldunit�B?:Gtyperadialdi[email protected]6.66667Hmr  @9.517939Hmz @129.778075Hm  130.126630Hmp  @129.778075Hmt  @9.517939Mr  @1.903588Mz  4187.022190M  4187.022630Mp  4187.022190Mt  @1.903588Br  @11.421527Bz  4057.244120Bm  4057.260190Bp  4057.244120Bt  @11.421527Ap    0.100000At  0.200000Bp  1.100000Bt  [email protected][email protected]  @2.981529Hmz @122.341433Hm  122.377758Hmp  @122.341433Hmt  @2.981529Mr  @0.596306Mz  4187.765860M  4187.765900Mp  4187.765860Mt  @0.596306Br  @3.577835Bz  4065.424420Bm  4065.426000Bp  4065.424420Bt  @3.577835Ap    0.100000At  0.200000Bp  1.100000Bt  [email protected]2Cell28Comp.1permanent5.4.444447.52.22222Hmr  2.981529Hmz @122.341433Hm  122.377758Hmp  @122.341433Hmt  2.981529Mr  0.596306Mz  4187.765860M  4187.765900Mp  4187.765860Mt  0.596306Br  3.577835Bz  4065.424420Bm  4065.426000Bp  4065.424420Bt  3.577835Ap    0.100000At  0.200000Bp  1.100000Bt  [email protected]2Cell29Comp.1permanent5.4.444447.56.66667Hmr  9.517939Hmz @129.778075Hm  130.126630Hmp  @129.778075Hmt  9.517939Mr  1.903588Mz  4187.022190M  4187.022630Mp  4187.022190Mt  1.903588Br  11.421527Bz  4057.244120Bm  4057.260190Bp  4057.244120Bt  11.421527Ap    0.100000At  0.200000Bp  1.100000Bt  [email protected]93. 7. MagnetizationCurvesCbarmagnetmesh3,DMz,HzE,ComponentsListFD1E,PlotRowsFD1EG©
02.557.51012.51517.5cellcenter40004050410041504200zMHGISystemname:barmagnetmesh3Ferritlongbarmagnet,Jmeshinglevel3KFunctionalMagnetizationMzmaponaxialdirectionComp.102.557.51012.51517.5cellcenterL2000L1500L1000L5000zHHGISystemname:barmagnetmesh3Ferritlongbarmagnet,Jmeshinglevel3KFunctionalmagnetizingfieldHzmaponaxialdirectionComp.14. 7. MagnetizationCurvesMbarmagnetmesh3,NMz,HzO,ComponentsListPN1O,PlotColumnsPN1OQ11.21.41.61.82cellcenter4040405040604070zMHGISystemname:barmagnetmesh3Ferritlongbarmagnet,Jmeshinglevel3KFunctionalMagnetizationMzmaponradialdirectionComp.1©
11.21.41.61.82cellcenterR1600R1500R1400R1300zHSGTSystemname:barmagnetmesh3Ferritlongbarmagnet,Umeshinglevel3VFunctionalmagnetizingfieldHzmaponradialdirectionComp.1©
Á ‚ W on Ms.W non maximumXpeak Ypeak)Hpeak Magnetica non on AXSSoftMagneticComponent.‚ ?AXSMagneticSystemZ[,,\,]a.:,,,,?MeshingLevel.^1_a`,2_a`^b,3_a`,4_a`b©
?AXSSoftMagneticComponentc,,,,,,daae,f,egf2D:,,OptionshAXSSoftMagneticComponentijLinearPermeabilitykFalse,FillingFactork1,ComponentMeshingkAutomatic,TemperaturekAutomaticl?LinearPermeability.gam?Propertiesc,da.gamgam,s.?c,d.gam?FieldPointOrigincsdacs,n0,0,0od?MagnetizationTablec,de,fgamnonn1,3oogamn1,2,3onn1,3oogampgamp?MaterialMagnetizationCurvesc,,d,.:,,,,:,,,?MagnetizingFieldRange.,n,o,,,n,o©
?PlotScale.:,,?MagnetizingUnitqHr‚ s s Magnetica SteelCommon1)Properties MaterialMagnetizationCurves.t t Hm t upeak ©
PropertiesvSteelCommon1wMaterialpropertiesmaterialnameSteelCommon1materialcategoryFerromagneticreversiblenonlineardesignationCommonsteelannealedxH1yGeneralPhysicalPropertiesspecificweightxgzcm3y7.860000dilationcoefficientxrelativelinearchangey0.000012resistivityxOhmxcmy0.000010Coefficienttemperatureresistivity0.001000MagneticPhysicalPropertiesrelativevolumemagneticxlinearysusceptibility2100.238863temperaturecoefficientsusceptibility{0.000200saturationmagnetizationxGy20500.000000coercivefieldxcontinuousreversibilitylimit,Gy1.080000temperaturecoefficientsaturationmag{0.000200SpecificationsofthemaximumofpermeabilitypeakmagnetizingfieldxGy3.152921peakmagnetizationxGy7357.652663peaksusceptibilityxrelativetovacuumy2333.598736coefficientoflinearizationforsusceptibility0.900000a model.MagneticaUserUnits[FieldUnit|Gauss];MaterialMagnetizationCurves[SteelCommon1,{M,Permeability},CurveType-�Comparison]05101520HmMagnetizingField}G~05000100001500020000MG€MaterialMagnetizationCurveSteelCommon1temperature20°celsiusCommonsteelannealed}H1~MMagnetizationf}Hm~Typeofplot:LinearLinear©
05101520HmMagnetizingField‚Gƒ500100015002000„MaterialMagnetizationCurveSteelCommon1temperature20°celsiusCommonsteelannealed‚H1ƒ…Permeabilityf‚HmƒTypeofplot:Linear†Linear‡ AXSSolenoid)AXSSoft-MagneticComponent) barsteel1ˆAXSMagneticSystem‰ŠAXSSolenoid‰CopperOFHC,100,200,100,0,200,20,FillingFactor‹Œ0.6Ž,AXSSoftMagneticComponent‰SteelCommon1,0,20,80,0Ž,SystemLabel"BarofCommonSteelinasolenoid"Ž; lowbarsteel2ˆAXSMagneticSystem‰ŠAXSSolenoid‰CopperOFHC,100,200,100,0,200,20,FillingFactor‹Œ0.6Ž,AXSSoftMagneticComponent‰SteelCommon1,0,20,80,0,LinearPermeability‹ŒTrueŽ,SystemLabel"BarofCommonSteel‘linear’inasolenoid"Ž“AXSMagneticSystem:”“solenoid“,“soft“•“‡ ©
DrawSystem2D–barsteel1—˜100˜50050100Z™mmš˜100˜50050100R›mmœSystemname:barsteel1BarofCommonSteelinasolenoid2DviewZRGraphicsProperties–barsteel1—GeneralpropertiesSystemname:barsteel1SystemmagneticparityTrueSystemLegendreradius55.9017MagneticfieldattheoriginžGŸ 0,2679.74¡FieldmagnitudeattheoriginžGŸ2679.74SystemmassžKgŸ12.8079SystemnominalpoweržWŸ43.3288SystemeffectivepoweržWŸ43.3288Numberofcomponents2Numberofcurrentcarryingcomponent1Numberofferro¢magneticžnonrigidŸcomponents1Numberofcomponentswithreversiblemagnetization1n°typefirstcelllastcellradialcellsaxialcells2soft130215£ 1. global 1, non©
FieldPointOrigin[barsteel1]Systemname:barsteel1Themagneticfield¤inGauss¥attheoriginCalculationmode:AutomaticModeBr0.000000GBz2679.735408GBm2679.735408G2. global 2,FieldPointOrigin[barsteel2]Systemname:barsteel2Themagneticfield¤inGauss¥attheoriginCalculationmode:AutomaticModeBr0.000000GBz3747.284100GBm3747.284100G¦ 282.559 gauss:¦ 1.497 gauss:¦ 2732.305 gauss:¦ 2733.802 gauss:¦ 1825.500 ¦ 1826.500 3. global 16NumberForm§FieldPoint§barsteel1,¨0,1.33333333©ª,9ª«0,2678.33607¬©
VerboseFieldPoint­barsteel1,®0,1.33333333¯,ComponentsList°All±Systemname:barsteel1Themagneticfield²inGauss³atthepoint´0,1.33333µ²inMilliMeter³Calculationmode:AutomaticModeComponentn°1Componenttype:cylindricalsolenoidBr0.000000GBz282.558958GBm282.558958GComponentn°2Componenttype:cylindrical,reversiblemagnetizationBr0.000000GBz2395.777108GBm2395.777108GTotalBr0.000000GBz2678.336067GBm2678.336067G4. 16MagnetizationTable[barsteel1,ComponentsList-�{2},CellsList-�{{16,16}},CondensedForm-�True,FullDetails-�True]n°typefirstcelllastcellradialcellsaxialcells2soft130215Lengthunit:mmFunctionalMagnetizationIntensityunit²M³:GFunctionalMagnetizingfieldunit²H³:GInductionfieldunit²B³:Gtyperadialdim.axialdim.radialpos.axialpos.Cell16Comp.2soft5.5.333337.5¶37.3333Hmr  ¶0.453405Hmz 1.309603Hm  1.385870Mr  ¶776.918214Mz  2244.031130M  2374.716330Br  ¶777.371619Bz  2245.340730Bm  2376.102200·    1713.519860¸  1714.519860¹ 941.538 gauss:¹ 227.849 gauss:¹ 713.689 gauss:5. global©
FieldPointºbarsteel1,»0,40¼½¾0,916.57¿VerboseFieldPoint[barsteel1,{0,40},ComponentsList-�All]Systemname:barsteel1ThemagneticfieldÀinGaussÁatthepoint¾0,40¿ÀinMilliMeterÁCalculationmode:AutomaticModeComponentn°1Componenttype:cylindricalsolenoidBr0.000000GBz227.848670GBm227.848670GComponentn°2Componenttype:cylindrical,reversiblemagnetizationBr0.000000GBz688.721605GBm688.721605GTotalBr0.000000GBz916.570276GBm916.570276G6. globalFieldPointºbarsteel2,»0,40¼½¾0,1287.87¿VerboseFieldPoint[barsteel2,{0,40},ComponentsList-�All]Systemname:barsteel2ThemagneticfieldÀinGaussÁatthepoint¾0,40¿ÀinMilliMeterÁCalculationmode:AutomaticModeComponentn°1Componenttype:cylindricalsolenoidBr0.000000GBz227.848670GBm227.848670GComponentn°2Componenttype:cylindrical,reversiblemagnetizationBr0.000000GBz1060.020380GBm1060.020380GTotalBr0.000000GBz1287.869050GBm1287.869050G©
7. onFieldMapÂbarsteel1,Bz,LineÂÃ0,30Ä,Ã0,50ÄÅÅ;3035404550ZÆmmÇ6008001000120014001600zBÈGÉSystemname:barsteel1BarofCommonSteelinasolenoidBzÆGÇÆContinuous,AutomaticModeÇbetweenÊ0.,30.ËandÊ0.,50.Ë8.ContourFieldMapÂbarsteel1,Flux,PlaneÂÃÌ30,Ì50Ä,Ã30,50ÄÅ,NumberOfPointsÍ25Å;Î40Î2002040ZÆmmÇÎ30Î20Î100102030RÈmmÉSystemname:barsteel1BarofCommonSteelinasolenoidFluxÆÏWbÇÆContinuous,AutomaticModeÇbetweenÊÎ30.,Î50.ËandÊ30.,50.˂ aÐ ©
Ñ SiSteel3)Ò 19800Ò Hm 0.86 Ò Ópeak 9062Properties[SiSteel3]MaterialpropertiesmaterialnameSiSteel3materialcategoryFerromagneticreversiblenonlineardesignationSiliconsteelsheet,grainsNO,highGeneralPhysicalPropertiesspecificweightÔgÕcm3Ö7.600000dilationcoefficientÔrelativelinearchangeÖ0.000012resistivityÔOhmxcmÖ0.000010Coefficienttemperatureresistivity0.001000MagneticPhysicalPropertiesrelativevolumemagneticÔlinearÖsusceptibility8155.441381temperaturecoefficientsusceptibility×0.000300saturationmagnetizationÔGÖ19800.000000coercivefieldÔcontinuousreversibilitylimit,GÖ0.240000temperaturecoefficientsaturationmag×0.000300SpecificationsofthemaximumofpermeabilitypeakmagnetizingfieldÔGÖ0.859414peakmagnetizationÔGÖ7787.668008peaksusceptibilityÔrelativetovacuumÖ9061.601534coefficientoflinearizationforsusceptibility0.900000MaterialMagnetizationCurves[SiSteel3,{M,Permeability}]©
01234HmMagnetizingFieldØGÙ020004000600080001000012000MÚGÛMaterialMagnetizationCurveSiSteel3temperature20°celsiusSiliconsteelsheet,grainsNO,highSiliconcontent,ØS3ÙMMagnetizationfØHmÙTypeofplot:LinearÜLinear01234HmMagnetizingFieldØGÙ2000400060008000ÝMaterialMagnetizationCurveSiSteel3temperature20°celsiusSiliconsteelsheet,grainsNO,highSiliconcontent,ØS3ÙÞPermeabilityfØHmÙTypeofplot:LinearÜLinearß ©
unshieldMRI=AXSMagneticSystem[{AXSSolenoid[SuperNbTi4, 1240, 1280, 300, 180.05374474797077, 635, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 300, -180.05374474797077, 635, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 250, 550.1194910091477, 598, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 250, -550.1194910091477, 598, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1320, 250, 874.8480174899299, 1015, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1320, 250, -874.8480174899299, 1015, 735.2202]}, SystemLabel� - "unshielded MRI 1.5 T superconducting magnet"]; 3 thickthick=3;dshellin=3000;dshellout=dshellin+2*thick;shieldedMRI1=AXSMagneticSystem[{AXSSolenoid[SuperNbTi4, 1240, 1280, 300, 180.05374474797077, 635, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 300, -180.05374474797077, 635, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 250, 550.1194910091477, 598, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 250, -550.1194910091477, 598, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1320, 250, 874.8480174899299, 1015, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1320, 250, -874.8480174899299, 1015, 735.2202],AXSSoftMagneticComponent[SiSteel3,dshellin, dshellout,5000,0]}, SystemLabel� - "MRI 1.5 T superconducting magnet with 10 mm Si steel shield"]; thickthick=10;dshellin=3000;dshellout=dshellin+2*thick;shieldedMRI2=AXSMagneticSystem[{AXSSolenoid[SuperNbTi4, 1240, 1280, 300, 180.05374474797077, 635, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 300, -180.05374474797077, 635, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 250, 550.1194910091477, 598, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 250, -550.1194910091477, 598, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1320, 250, 874.8480174899299, 1015, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1320, 250, -874.8480174899299, 1015, 735.2202],AXSSoftMagneticComponent[SiSteel3,dshellin, dshellout,5000,0]}, SystemLabel� - "MRI 1.5 T superconducting magnet with 10 mm Si steel shield"]; 30 thickthick=30;dshellin=3000;dshellout=dshellin+2*thick;shieldedMRI3=AXSMagneticSystem[{AXSSolenoid[SuperNbTi4, 1240, 1280, 300, 180.05374474797077, 635, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 300, -180.05374474797077, 635, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 250, 550.1194910091477, 598, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1280, 250, -550.1194910091477, 598, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1320, 250, 874.8480174899299, 1015, 735.2202], AXSSolenoid[SuperNbTi4, 1240, 1320, 250, -874.8480174899299, 1015, 735.2202],AXSSoftMagneticComponent[SiSteel3,dshellin, dshellout,5000,0]}, SystemLabel� - "MRI 1.5 T superconducting magnet with 10 mm Si steel shield"];©
à DrawSystem2DáshieldedMRI1â;ã2000ã1000010002000Zämmåã2000ã1000010002000RæmmçSystemname:shieldedMRI1MRI1.5Tsuperconductingmagnetwith10mmSisteelshield2DviewZRPropertiesáshieldedMRI1âGeneralpropertiesSystemname:shieldedMRI1SystemmagneticparityFalseSystemLegendreradius1768.87MagneticfieldattheoriginèGéê0,15019.4ëFieldmagnitudeattheoriginèGé15019.4SystemmassèKgé1249.23SystemnominalpowerèWé0.SystemeffectivepowerèWé0.Numberofcomponents7Numberofcurrentcarryingcomponent6Numberofferroìmagneticènonrigidécomponents1Numberofcomponentswithreversiblemagnetization1n°typefirstcelllastcellradialcellsaxialcells7soft130130à 1. unshieldedMRI: 15000©
FieldPointíunshieldMRI,î0,0ïðñ0,15000.ò 2 15019 19 isocenterFieldPointíshieldedMRI1,î0,0ïðñ0,15019.4ò 15059 59 isocenterFieldPointíshieldedMRI2,î0,0ïðñ0,15059.5ò 15145 145 isocenterFieldPointíshieldedMRI3,î0,0ïðñ0,15145.7ò2. 3000 on 129.4 3 124.4 5 10 113.4 16 30 85.4 45©
rcó3000;zcó0;VerboseFieldPointôunshieldMRI,õrc,zcö÷VerboseFieldPointôshieldedMRI1,õrc,zcö÷VerboseFieldPointôshieldedMRI2,õrc,zcö÷VerboseFieldPointôshieldedMRI3,õrc,zcö÷Systemname:unshieldMRIThemagneticfieldøinGaussùatthepointú3000,0ûøinMilliMeterùCalculationmode:AutomaticModeBr0.000000GBzü129.435019GBm129.435019GSystemname:shieldedMRI1ThemagneticfieldøinGaussùatthepointú3000,0ûøinMilliMeterùCalculationmode:AutomaticModeBr0.000000GBzü124.421536GBm124.421536GSystemname:shieldedMRI2ThemagneticfieldøinGaussùatthepointú3000,0ûøinMilliMeterùCalculationmode:AutomaticModeBr0.000000GBzü113.344577GBm113.344577GSystemname:shieldedMRI3ThemagneticfieldøinGaussùatthepointú3000,0ûøinMilliMeterùCalculationmode:AutomaticModeBr0.000000GBzü85.377007GBm85.377007G3. 4©
VerboseLegendreCoefficientsýshieldedMRI3,LegendreRadiusþÿ250,2000SystemName:shieldedMRI3SystemLegendreradius1775.876mmPrintoutLegendreradiuscentral250.000mmPrintoutLegendreradiusremote2000.000mmSystemLegendrecenterposition0.000mmInnersphericalradiuslimit577.277mmOutersphericalradiuslimit3341.367mmSystemmagneticparityFalseSystemmagneticconstantfield0.000GMode:absoluteFieldGaussOrdercentralcoeff.remotecoeff.D015145.7162108020.000000000D10.0000000000.000000000D23.284322716755.186244641D30.0000000000.000000000D40.036579248746.361577872D50.0000000000.000000000D62.091823076493.368897819D70.0000000000.000000000D81.617913155778.101567208D90.0000000000.000000000D100.3536711791559.623810719D110.0000000000.000000000D120.0498538912556.195811151D130.0000000000.000000000D140.00588590711408.028684260D150.0000000000.000000000D160.0008223295565.292211713D170.0000000004.090000000e10D180.00015099148576.674149276D190.0000000008.343000000e10D200.000028266120586.7130552884. 4 ©
FieldMapshieldedMRI3,Bm,Line2000,0,7000,0 200030004000500060007000R\nmm 50100150200mB G\rSystemname:shieldedMRI3MRI1.5Tsuperconductingmagnetwith10mmSisteelshieldBm\nG \nContinuous,AutomaticMode between2000.,0.and7000.,0.Graphics5. 30, 20, 10, 5, 1 4DrawIsoFieldLinesshieldedMRI3,30,20,10,5,1,AngularRange0,360,NumberOfPoints40,FieldUnitGauss ;200001000001000020000Z\nmm 15000100005000050001000015000R mm\rSystemname:shieldedMRI3MRI1.5Tsuperconductingmagnetwith10mmSisteelshieldMagneticisoFieldlinesFieldmagnitude\nG 30.,20.,10.,5.,1.2DviewZR6. 4 MagnetizationCurvesshieldedMRI3,Mz,Hz,ComponentsList7,PlotRows1 ©
051015202530cellcenter25000200001500010000500005000zMGSystemname:shieldedMRI3MRI1.5Tsuperconductingmagnetwith10mmSisteelshieldFunctionalMagnetizationMzmaponaxialdirectionComp.7051015202530cellcenter5004003002001000zHGSystemname:shieldedMRI3MRI1.5Tsuperconductingmagnetwith10mmSisteelshieldFunctionalmagnetizingfieldHzmaponaxialdirectionComp.77. 4 30©
MagnetizationTable[shieldedMRI3,ComponentsList-�{7},CellsList-�{{1,4}},CondensedForm-�True,FullDetails-�True]n°typefirstcelllastcellradialcellsaxialcells7soft130130Lengthunit:mmFunctionalMagnetizationIntensityunitM:GFunctionalMagnetizingfieldunitH:GInductionfieldunitB:Gtyperadialdim.axialdim.radialpos.axialpos.Cell1Comp.7soft30.166.6671515.2416.67Hmr  0.061134Hmz 0.378757Hm  0.383659Mr  276.551431Mz  1713.385120M  1735.560220Br  276.612565Bz  1713.763880Bm  1735.943880    4523.710340  4524.710340Cell2Comp.7soft30.166.6671515.2250.Hmr  0.067562Hmz 0.386961Hm  0.392815Mr  314.424747Mz  1800.861610M  1828.104330Br  314.492309Bz  1801.248570Bm  1828.497150    4653.857790  4654.857790Cell3Comp.7soft30.166.6671515.2083.33Hmr  0.101596Hmz 0.298058Hm  0.314897Mr  370.127569Mz  1085.867640M  1147.215310Br  370.229165Bz  1086.165700Bm  1147.530200    3643.143410  3644.143410Cell4Comp.7soft30.166.6671515.1916.67Hmr  0.161199Hmz 0.131122Hm  0.207794Mr  436.327733Mz  354.917809M  562.448701Br  436.488932Bz  355.048931Bm  562.656495    2706.765790  2707.7657908. 4 30MagnetizationTable[shieldedMRI3,ComponentsList-�{7},CellsList-�{{44,47}},CondensedForm-�True,FullDetails-�True]n°typefirstcelllastcellradialcellsaxialcells7soft130130Lengthunit:mmFunctionalMagnetizationIntensityunitM:GFunctionalMagnetizingfieldunitH:GInductionfieldunitB:G©
‚ Mu AXSLargeMagneticSource Mu  MuMetal1 Properties MaterialMagnetizationCurves. 7800 Hm 0.0.32  peak 105320©
Properties[MuMetal1]MaterialpropertiesmaterialnameMuMetal1materialcategoryFerromagneticreversiblenonlineardesignationMumetalstandardannealed,0.1mmsheetGeneralPhysicalPropertiesspecificweight!g"cm3#8.700000dilationcoefficient!relativelinearchange#0.000013resistivity!Ohmxcm#0.000058Coefficienttemperatureresistivity0.001000MagneticPhysicalPropertiesrelativevolumemagnetic!linear#susceptibility94788.251479temperaturecoefficientsusceptibility$0.000300saturationmagnetization!G#7800.000000coercivefield!continuousreversibilitylimit,G#0.015000temperaturecoefficientsaturationmag$0.000300Specificationsofthemaximumofpermeabilitypeakmagnetizingfield!G#0.032237peakmagnetization!G#3395.227999peaksusceptibility!relativetovacuum#105320.279421coefficientoflinearizationforsusceptibility0.900000MaterialMagnetizationCurves[MuMetal1,{M,Permeability},�MagnetizingUnit-Milli Gauss]0255075100125150HmMagnetizingField%mG&0100020003000400050006000M'G(MaterialMagnetizationCurveMuMetal1temperature20°celsiusMumetalstandardannealed,0.1mmsheet%I2&MMagnetizationf%Hm&Typeofplot:Linear)Linear©
0255075100125150HmMagnetizingField*mG+30000400005000060000700008000090000100000,MaterialMagnetizationCurveMuMetal1temperature20°celsiusMumetalstandardannealed,0.1mmsheet*I2+-Permeabilityf*Hm+Typeofplot:Linear.Linear/ 1 box innerDiam0200;demiLength0300;thick0.1;outerDiam0innerDiam122thick;diskPosition0N34demiLength1thick5627;amagbox10AXSMagneticSystem38AXSLargeMagneticSource30.45897,AXSSoftMagneticComponent3MuMetal1,innerDiam,outerDiam,demiLength62,9demiLength64.7,AXSSoftMagneticComponent3MuMetal1,innerDiam,outerDiam,demiLength62,demiLength64.7,AXSSoftMagneticComponent3MuMetal1,0,outerDiam,thick,9diskPosition7,AXSSoftMagneticComponent3MuMetal1,0,outerDiam,thick,diskPosition7:,SystemLabel9"AmagneticBoxMumetal0.1mmthick",MeshingLevel=27; 2 box ©
innerDiam�200;demiLength1�300;thick�.1;outerDiam�[email protected];diskPosition�NABdemiLength1?thickCD2E;gap�30;demiLength2�demiLength1?gap;amagbox2�AXSMagneticSystemAFAXSLargeMagneticSourceA0.4589E,AXSSoftMagneticComponentAMuMetal1,innerDiam,outerDiam,demiLength1D2,GdemiLength1D4.E,AXSSoftMagneticComponentAMuMetal1,innerDiam,outerDiam,demiLength1D2,demiLength1D4.E,AXSSoftMagneticComponentAMuMetal1,0,outerDiam,thick,GdiskPositionE,AXSSoftMagneticComponentAMuMetal1,0,outerDiam,thick,diskPositionE,AXSSoftMagneticComponentAMuMetal1,innerDiam?gap,outerDiam?gap,demiLength2D2,GdemiLength2D4.E,AXSSoftMagneticComponentAMuMetal1,innerDiam?gap,outerDiam?gap,demiLength2D2,demiLength2D4.E,AXSSoftMagneticComponentAMuMetal1,0,outerDiam?gap,thick,GdiskPositionGgapD2E,AXSSoftMagneticComponentAMuMetal1,0,outerDiam?gap,thick,diskPosition?gapD2EH,SystemLabelG"AmagneticBoxMumetal0.1mmthick",MeshingLevelJ2E;K DrawSystem2DXZAamagbox1E;L150L100L50050100150XMmmNL150L100L50050100150ZOmmPSystemname:amagbox1AmagneticBoxMumetal0.1mmthick2DviewXZ ©
DrawSystem2DXZQamagbox2R;S150S100S50050100150XTmmUS150S100S50050100150ZVmmWSystemname:amagbox2AmagneticBoxMumetal0.1mmthick2DviewXZPropertiesQamagbox2RGeneralpropertiesSystemname:amagbox2SystemmagneticparityTrueSystemLegendreradius150.631MagneticfieldattheoriginXGYZ0,0.00453201[FieldmagnitudeattheoriginXGY0.00453201SystemmassXKgY0.498804SystemnominalpowerXWY0SystemeffectivepowerXWY0Numberofcomponents9Numberofferro\magneticXnonrigidYcomponents8Numberofcomponentswithreversiblemagnetization8Numberoflargesources1n°typefirstcelllastcellradialcellsaxialcells2soft911201303soft1211501304soft31603015soft1812103016soft61901307soft1511801308soft1303019soft211240301] 1. 45 890 1568 44321 3.4 ©
MagneticaUserUnits^FieldUnit_NanoTesla`;FieldPoint^amagbox1,a0,0b`c0,1567.99d 453 45437 FieldPoint^amagbox2,a0,0b`c0,453.201d2. on 2 boxFieldMap^amagbox2,Bz,Line^a0,e400b,a0,400b``;f400f2000200400Zgmmh020000400006000080000zBiTnjSystemname:amagbox2AmagneticBoxMumetal0.1mmthickBzgnThgContinuous,AutomaticModehbetweenk0.,f400.landk0.,400.l3. on 2 box©
ContourFieldMapmamagbox2,Bz,Planemno50,o60p,n50,60pq,NumberOfPointsr25,ViewTyperView3DXZq;s40s2002040Rtmmus60s40s200204060ZvmmwSystemname:amagbox2AmagneticBoxMumetal0.1mmthickBztnTutContinuous,AutomaticModeubetweenxs50.,s60.yandx50.,60.y4. 2 box. MagneticaUserUnitsmFieldUnitrGaussq;MagnetizationCurvesmamagbox2,nMz,Mr,Mmp,ComponentsListrn6,7p,PlotRowson1pq0102030405060cellcenter600800100012001400zMvGwSystemname:amagbox2AmagneticBoxMumetal0.1mmthickFunctionalMagnetizationMzmaponaxialdirectionComp.6Comp.7©
0102030405060cellcenter{1.5{1{0.500.51rM|G}Systemname:amagbox2AmagneticBoxMumetal0.1mmthickFunctionalMagnetizationMrmaponaxialdirectionComp.6Comp.70102030405060cellcenter600800100012001400mM|G}Systemname:amagbox2AmagneticBoxMumetal0.1mmthickFunctionalMagnetizationMmmaponaxialdirectionComp.6Comp.75. 2. 1410 80000©
MagnetizationTable[amagbox2,ComponentsList-�{7},CellsList-�{{151,154}},CondensedForm-�True,FullDetails-�True]n°typefirstcelllastcellradialcellsaxialcells2soft911201303soft1211501304soft31603015soft1812103016soft61901307soft1511801308soft1303019soft211240301Lengthunit:mmFunctionalMagnetizationIntensityunit~M:GFunctionalMagnetizingfieldunit~H:GInductionfieldunit~B:Gtyperadialdim.axialdim.radialpos.axialpos.Cell151Comp.7soft0.15.5115.052.75Hmr  8.393280e€8Hmz 0.017508Hm  0.017508Mr  0.006783Mz  1415.011810M  1415.011810Br  0.006783Bz  1415.029310Bm  1415.029310    80818.794800‚  80819.794800Cell152Comp.7soft0.15.5115.058.25Hmr  2.520324e€7Hmz 0.017502Hm  0.017502Mr  0.020362Mz  1413.985950M  1413.985950Br  0.020362Bz  1414.003460Bm  1414.003460    80789.733800‚  80790.733800Cell153Comp.7soft0.15.5115.0513.75Hmr  4.208376e€7Hmz 0.017489Hm  0.017489Mr  0.033975Mz  1411.931760M  1411.931760Br  0.033975Bz  1411.949250Bm  1411.949250    80731.420200‚  80732.420200Cell154Comp.7soft0.15.5115.0519.25Hmr  5.908323e€7Hmz 0.017470Hm  0.017470Mr  0.047647Mz  1408.844200M  1408.844200Br  0.047647Bz  1408.861670Bm  1408.861670    80643.467800‚  80644.467800©
Á ‚ AXSSoftMagneticComponent. ‚ ?AXSMagneticSystemƒ„,,…,†a.:,,,,?MeshingLevel.‡1ˆŠ‰,2ˆŠ‰‡‹,3ˆŠ‰,4ˆŠ‰‹?AXSSoftMagneticComponentƒ,,,,,,†aa‡,‹,‡ˆ‹2D:,,OptionsŒAXSSoftMagneticComponentŽLinearPermeabilityFalse,FillingFactor1,ComponentMeshingAutomatic,TemperatureAutomatic?LinearPermeability.ˆŠ‰©
?Properties‘,’a.“Š”“Š”,s.?‘,’.“Š”?FieldPointOrigin‘s’a‘s,•0,0,0–’?MagnetizationTable‘,’—,˜“Š”•–••1,3––“Š”•1,2,3–••1,3––“Š”™“Š”™?MaterialMagnetizationCurves‘,,’,.:,,,,:,,,?MagnetizingFieldRange.,•,–,,,•,–?CurveType,“,—,˜?PlotScale.:,,?MagnetizingUnit—H˜©
‚ Boron)š path.materials.š Magnetica NIBcomp4 MaterialMagnetizationCurves› 12000 954930› Hcoer 1591550Properties[NIBcomp4]MaterialpropertiesmaterialnameNIBcomp4materialcategoryPermanentmagnetdesignationNdFeBcompoundU4œ120200žGeneralPhysicalPropertiesspecificweightœgcm3ž7.500000dilationcoefficientœrelativelinearchangež4.000000eŸ6resistivityœOhmxcmž0.000150Coefficienttemperatureresistivity0.001000MagneticPhysicalPropertiesintrinsicremanentmagneticfieldœGž12000.000000intrinsiccoercivefieldœGžŸ20000.000000principaldynamicrelativesusceptibility0.100000secondaryrelativesusceptibility0.200000temperaturecoefficientsusceptibility0.000000temperaturecoefficientremanentfieldŸ0.001200temperaturecoefficientcoercivefieldŸ0.006000©
MaterialMagnetizationCurves NIBcomp4,¡Mprincipal¢,MagnetizingUnit£Tesla,MaterialMagnetizationUnit£Tesla¤¥3¥2¥10123HmMagnetizingField¦T§¥1.5¥1¥0.500.511.5Mlapicnirp¨T©MaterialMagnetizationCurveNIBcomp4temperature20°celsiusNdFeBcompoundU4¦120ª200§MMagnetizationPrincipalf¦Hm§ , IronInd3 Properties MaterialMagnetizationCurves. « 21550« Hm 2.09 « ¬peak 4785Properties[IronInd3]MaterialpropertiesmaterialnameIronInd3materialcategoryFerromagneticreversiblenonlineardesignationIndustrialIronmiddleannealed­A1®GeneralPhysicalPropertiesspecificweight­g¯cm3®7.860000dilationcoefficient­relativelinearchange®0.000011resistivity­Ohmxcm®0.000010Coefficienttemperatureresistivity0.001000MagneticPhysicalPropertiesrelativevolumemagnetic­linear®susceptibility4305.818592temperaturecoefficientsusceptibility°0.000300saturationmagnetization­G®21550.000000coercivefield­continuousreversibilitylimit,G®0.400000temperaturecoefficientsaturationmag°0.003000Specificationsofthemaximumofpermeabilitypeakmagnetizingfield­G®2.087626peakmagnetization­G®9987.709726peaksusceptibility­relativetovacuum®4784.242880coefficientoflinearizationforsusceptibility0.900000©
MaterialMagnetizationCurves[IronInd3,{M,Permeability}]0246810HmMagnetizingField±G²0250050007500100001250015000M³G´MaterialMagnetizationCurveIronInd3temperature20°celsiusIndustrialIronmiddleannealed±A1²MMagnetizationf±Hm²Typeofplot:LinearµLinear0246810HmMagnetizingField±G²1000200030004000¶MaterialMagnetizationCurveIronInd3temperature20°celsiusIndustrialIronmiddleannealed±A1²·Permeabilityf±Hm²Typeofplot:LinearµLinear¸ ©
airgapLength¹20;poleDiameter¹80;poleLength¹20;polePosition¹ºpoleLength»airgapLength¼½2;yokeDiam¹120;yokepoleLength¹8;ringLength¹6;ringPosition¹polePosition»ºpoleLength¾ringLength¼½2;yokepolePosition¹polePosition»ºpoleLength»yokepoleLength¼½2;yokeshellThick¹5;yokeshellDiam¹yokeDiam»2¿yokeshellThick;yokeshellLength¹2¿yokepolePosition»yokepoleLength;NIBairgapmagnet1¹AXSMagneticSystemÀÁAXSHardMagneticComponentÀNIBcomp4,0,poleDiameter,poleLength,¾polePositionÂ,AXSHardMagneticComponentÀNIBcomp4,0,poleDiameter,poleLength,polePositionÂ,AXSSoftMagneticComponentÀIronInd3,poleDiameter,yokeDiam,ringLength,¾ringPositionÂ,AXSSoftMagneticComponentÀIronInd3,poleDiameter,yokeDiam,ringLength,ringPositionÂ,AXSSoftMagneticComponentÀIronInd3,0,yokeDiam,yokepoleLength,¾yokepolePositionÂ,AXSSoftMagneticComponentÀIronInd3,0,yokeDiam,yokepoleLength,yokepolePositionÂ,AXSSoftMagneticComponentÀIronInd3,yokeDiam,yokeshellDiam,yokeshellLength,0ÂÃ,SystemLabel¾"NIBairgapmagnetwithironyoke",MeshingLevelÅ1Â;©
airgapLengthÆ60;poleDiameterÆ80;poleLengthÆ20;polePositionÆÇpoleLengthÈairgapLengthÉÊ2;yokeDiamÆ120;yokepoleLengthÆ8;ringLengthÆ6;ringPositionÆpolePositionÈÇpoleLengthËringLengthÉÊ2;yokepolePositionÆpolePositionÈÇpoleLengthÈyokepoleLengthÉÊ2;yokeshellThickÆ5;yokeshellDiamÆyokeDiamÈ2ÌyokeshellThick;yokeshellLengthÆ2ÌyokepolePositionÈyokepoleLength;NIBairgapmagnet2ÆAXSMagneticSystemÍÎAXSHardMagneticComponentÍNIBcomp4,0,poleDiameter,poleLength,ËpolePositionÏ,AXSHardMagneticComponentÍNIBcomp4,0,poleDiameter,poleLength,polePositionÏ,AXSSoftMagneticComponentÍIronInd3,poleDiameter,yokeDiam,ringLength,ËringPositionÏ,AXSSoftMagneticComponentÍIronInd3,poleDiameter,yokeDiam,ringLength,ringPositionÏ,AXSSoftMagneticComponentÍIronInd3,0,yokeDiam,yokepoleLength,ËyokepolePositionÏ,AXSSoftMagneticComponentÍIronInd3,0,yokeDiam,yokepoleLength,yokepolePositionÏ,AXSSoftMagneticComponentÍIronInd3,yokeDiam,yokeshellDiam,yokeshellLength,0ÏÐ,SystemLabelË"NIBairgapmagnetwithironyoke",MeshingLevelÒ1Ï;Ó 1,©
DrawSystem2DXZÔNIBairgapmagnet1,ShowArrowsÕTrueÖ;×60×40×200204060XØmmÙ×60×40×200204060ZÚmmÛSystemname:NIBairgapmagnet1NIBairgapmagnetwithironyoke2DviewXZ 2,DrawSystem2DXZÔNIBairgapmagnet2,ShowArrowsÕTrueÖ;×60×40×200204060XØmmÙ×60×40×200204060ZÚmmÛSystemname:NIBairgapmagnet2NIBairgapmagnetwithironyoke2DviewXZ 1,©
Properties[NIBairgapmagnet1]GeneralpropertiesSystemname:NIBairgapmagnet1SystemmagneticparityFalseSystemLegendreradius42.6464MagneticfieldattheoriginÜGÝÞ0,7001.13ßFieldmagnitudeattheoriginÜGÝ7001.13SystemmassÜKgÝ4.69582SystemnominalpowerÜWÝ0SystemeffectivepowerÜWÝ0Numberofcomponents7NumberofferroàmagneticÜnonrigidÝcomponents7Numberofcomponentswithreversiblemagnetization5Numberofcomponentswithpermanentmagnetization2n°typefirstcelllastcellradialcellsaxialcells1permanent1114222permanent2023223soft610514soft2428515soft15516soft2933517soft151915á Map1. 1,â 7001.1 â 4076.1 â 2925.0 FieldPointãNIBairgapmagnet1,ä0,0åæÞ0,7001.13ß©
FieldPointOriginçNIBairgapmagnet1,ComponentsListèAlléSystemname:NIBairgapmagnet1ThemagneticfieldêinGaussëattheoriginCalculationmode:AutomaticModeComponentn°1Componenttype:cylindricalpermanentmagnetBr0.000000GBz2038.073749GBm2038.073749GComponentn°2Componenttype:cylindricalpermanentmagnetBr0.000000GBz2038.073749GBm2038.073749GComponentn°3Componenttype:cylindrical,reversiblemagnetizationBr0.000000GBz16.651020GBm16.651020GComponentn°4Componenttype:cylindrical,reversiblemagnetizationBr0.000000GBz16.651020GBm16.651020GComponentn°5Componenttype:cylindrical,reversiblemagnetizationBr0.000000GBz1139.094153GBm1139.094153GComponentn°6Componenttype:cylindrical,reversiblemagnetizationBr0.000000GBz1139.094153GBm1139.094153GComponentn°7Componenttype:cylindrical,reversiblemagnetizationBr0.000000GBz613.496486GBm613.496486GTotalBr0.000000GBz7001.134330GBm7001.134330G©
2. 2,ì 3122.8 ì 2032.0 ì 1090.8FieldPointíNIBairgapmagnet2,î0,0ïðñ0,3122.8ò©
FieldPointOriginóNIBairgapmagnet2,ComponentsListôAllõSystemname:NIBairgapmagnet2ThemagneticfieldöinGauss÷attheoriginCalculationmode:AutomaticModeComponentn°1Componenttype:cylindricalpermanentmagnetBr0.000000GBz1016.013280GBm1016.013280GComponentn°2Componenttype:cylindricalpermanentmagnetBr0.000000GBz1016.013280GBm1016.013280GComponentn°3Componenttype:cylindrical,reversiblemagnetizationBr0.000000GBzø20.679556GBm20.679556GComponentn°4Componenttype:cylindrical,reversiblemagnetizationBr0.000000GBzø20.679556GBm20.679556GComponentn°5Componenttype:cylindrical,reversiblemagnetizationBr0.000000GBz412.156476GBm412.156476GComponentn°6Componenttype:cylindrical,reversiblemagnetizationBr0.000000GBz412.156476GBm412.156476GComponentn°7Componenttype:cylindrical,reversiblemagnetizationBr0.000000GBz307.817525GBm307.817525GTotalBr0.000000GBz3122.797926GBm3122.797926G©
FieldMapùNIBairgapmagnet1,Bz,Lineùúû50,0ü,ú50,0üýý;þ40þ2002040Rÿmm0.10.20.30.40.50.60.7zBTSystemname:NIBairgapmagnet1NIBairgapmagnetwithironyokeBzÿTÿContinuous,AutomaticModebetweenþ50.,0.and50.,0.4. 1MagnetizationCurvesùNIBairgapmagnet1,úMz,Hzü,ComponentsListú1ü,PlotColumnsú1üý11.21.41.61.82cellcenter1.151.1551.161.1651.17zMTSystemname:NIBairgapmagnet1NIBairgapmagnetwithironyokeFunctionalMagnetizationMzmaponradialdirectionComp.1©
11.21.41.61.82cellcenter0.50.450.40.350.3zHTSystemname:NIBairgapmagnet1NIBairgapmagnetwithironyokeFunctionalmagnetizingfieldHzmaponradialdirectionComp.15. 1©
MagnetizationTable NIBairgapmagnet1,CellsList\n 11,14 ,FullDetails\nTrue,CondensedForm\nTrue\rn°typefirstcelllastcellradialcellsaxialcells1permanent1114222permanent2023223soft610514soft2428515soft15516soft2933517soft151915Lengthunit:mmFunctionalMagnetizationIntensityunitM:GFunctionalMagnetizingfieldunitH:GInductionfieldunitB:Gtyperadialdim.axialdim.radialpos.axialpos.Cell11Comp.1permanent20.10.025.Hmr  0.000000Hmz 4749.782650Hm  4749.782650Hmp  4749.782650Hmt  0.000000Mr  0.000000Mz  11525.021700M  11525.021700Mp  11525.021700Mt  0.000000Br  0.000000Bz  6775.239090Bm  6775.239090Bp  6775.239090Bt  0.000000p    0.100000t  0.200000p  1.100000t  1.200000angle0.M12000.0000H20000.0000marging15250.0000rel.marg.Cell12Comp.1permanent20.10.015.Hmr  0.000000Hmz 4375.191310Hm  4375.191310Hmp  4375.191310Hmt  0.000000Mr  0.000000Mz  11562.480900M  11562.480900Mp  11562.480900Mt  0.000000Br  0.000000Bz  7187.289560Bm  7187.289560Bp  7187.289560Bt  0.000000p    0.100000t  0.200000p  1.100000t  1.200000angle0.M12000.0000H20000.0000marging15625.0000rel.marg.Cell13Comp.1permanent20.10.30.25.Hmr  347.242569Hmz 3220.159450Hm  3238.827610Hmp  3220.159450Hmt  347.242569Mr  69.448514Mz  11677.984100M  11678.190600Mp  11677.984100Mt  69.448514Br  416.691083Bz  8457.824610Bm  8468.082930Bp  8457.824610Bt  416.691083p    0.100000t  0.200000p  1.100000t  1.200000angle0.M12000.0000H20000.0000marging16780.0000rel.marg.Cell14Comp.1permanent20.10.30.15.Hmr  1071.829610Hmz 3939.325360Hm  4082.536340Hmp  3939.325360Hmt  1071.829610Mr  214.365921Mz  11606.067500M  11608.047000Mp  11606.067500Mt  214.365921Br  1286.195530Bz  7666.742100Bm  7773.881490Bp  7666.742100Bt  1286.195530p    0.100000t  0.200000p  1.100000t  1.200000angle0.M12000.0000H20000.0000marging16061.0000rel.marg.6. 1,MagnetizationCurves NIBairgapmagnet1, Mr,Mz,Mm ,ComponentsList\n 5 ,PlotColumns\n 1 \r©
12345cellcenter21.510.50rMTSystemname:NIBairgapmagnet1NIBairgapmagnetwithironyokeFunctionalMagnetizationMrmaponradialdirectionComp.512345cellcenter0.100.10.20.30.40.50.6zMTSystemname:NIBairgapmagnet1NIBairgapmagnetwithironyokeFunctionalMagnetizationMzmaponradialdirectionComp.512345cellcenter00.250.50.7511.251.51.75mMTSystemname:NIBairgapmagnet1NIBairgapmagnetwithironyokeFunctionalMagnetizationMmmaponradialdirectionComp.57. 1, gap©
MagnetizationTableNIBairgapmagnet1,CellsList1,5,FullDetailsTrue,CondensedFormTruen°typefirstcelllastcellradialcellsaxialcells1permanent1114222permanent2023223soft610514soft2428515soft15516soft2933517soft151915Lengthunit:mmFunctionalMagnetizationIntensityunitM:GFunctionalMagnetizingfieldunitH:GInductionfieldunitB:Gtyperadialdim.axialdim.radialpos.axialpos.Cell1Comp.5soft12.8.034.Hmr  1.000000e13Hmz 1.228543Hm  1.228543Mr  4.346000e10Mz  3984.150780M  3984.150780Br  4.347000e10Bz  3985.379320Bm  3985.379320    3242.989440  3243.989440Cell2Comp.5soft12.8.18.34.Hmr  1.665358Hmz 0.876429Hm  1.881899Mr  7866.131590Mz  4139.712900M  8888.939710Br  7867.796950Bz  4140.589330Bm  8890.821610    4723.387620  4724.387620Cell3Comp.5soft12.8.30.34.Hmr  5.008301Hmz 1.816382Hm  5.327506Mr  13921.504500Mz  5048.972610M  14808.795100Br  13926.512800Bz  5050.789000Bm  14814.122600    2779.686100  2780.686100Cell4Comp.5soft12.8.42.34.Hmr  23.334260Hmz 0.047429Hm  23.334308Mr  17302.693500Mz  35.169030M  17302.729300Br  17326.027800Bz  35.216459Bm  17326.063600    741.514563  742.514563Cell5Comp.5soft12.8.54.34.Hmr  2.762674Hmz 0.202081Hm  2.770055Mr  12418.586900Mz  908.379570M  12451.765100Br  12421.349600Bz  908.581651Bm  12454.535200    4495.133060  4496.133060©
‚ a 1. 0.000 000 61Properties[CopperOFHC]MaterialpropertiesmaterialnameCopperOFHCmaterialcategoryResistivecurrentcarryingdesignationhighconductivityOFHCCopperGeneralPhysicalPropertiesspecificweight!g"cm3#8.920000dilationcoefficient!relativelinearchange#0.000016resistivity!Ohmxcm#1.724000e$6Coefficienttemperatureresistivity0.003930MagneticPhysicalPropertiesrelativevolumemagnetic!linear#susceptibility$6.100000e$7temperaturecoefficientsusceptibility0.0000102. 0.000 001 40Properties[AlumElec]MaterialpropertiesmaterialnameAlumElecmaterialcategoryResistivecurrentcarryingdesignationhighconductivityAluminumGeneralPhysicalPropertiesspecificweight!g"cm3#2.700000dilationcoefficient!relativelinearchange#0.000022resistivity!Ohmxcm#2.820000e$6Coefficienttemperatureresistivity0.004200MagneticPhysicalPropertiesrelativevolumemagnetic!linear#susceptibility1.400000e$6temperaturecoefficientsusceptibility$0.0000103. 0.000 000 029©
Properties[Composit1]MaterialpropertiesmaterialnameComposit1materialcategoryResistivecurrentcarryingdesignationCopper%.682&andAluminum%.318&CompositeGeneralPhysicalPropertiesspecificweight%g'cm3&7.540000dilationcoefficient%relativelinearchange&10.000000e(7resistivity%Ohmxcm&1.970000e(6Coefficienttemperatureresistivity0.000000MagneticPhysicalPropertiesrelativevolumemagnetic%linear&susceptibility2.920000e(8temperaturecoefficientsusceptibility0.000000) innerDiam*0.1;length*0.01;thick*0.001;outerDiam*innerDiam+2,thick;position1*length,3-2+15,thick;position2*length-2+5,thick;bApplied*100000;sensor1*AXSMagneticSystem./AXSLargeMagneticSource.bApplied0,AXSSoftMagneticComponent.CopperOFHC,innerDiam,outerDiam,length,1position10,AXSSoftMagneticComponent.CopperOFHC,innerDiam,outerDiam,length,1position20,AXSSoftMagneticComponent.CopperOFHC,innerDiam,outerDiam,length,position20,AXSSoftMagneticComponent.CopperOFHC,innerDiam,outerDiam,length,position102,SystemLabel143"doubleCopperflatconductor",MeshingLevel510;©
innerDiam60.1;length60.01;thick60.001;outerDiam6innerDiam728thick;position16length83927158thick;position26length92758thick;bApplied6100000;sensor26AXSMagneticSystem:;AXSLargeMagneticSource:bApplied,AXSSoftMagneticComponent:AlumElec,innerDiam,outerDiam,length,=position1,AXSSoftMagneticComponent:AlumElec,innerDiam,outerDiam,length,=position2,AXSSoftMagneticComponent:AlumElec,innerDiam,outerDiam,length,position2,AXSSoftMagneticComponent:AlumElec,innerDiam,outerDiam,length,position1�,SystemLabel=4?"doubleAluminiumflatconductor",[email protected];innerDiam60.1;length60.01;thick60.001;outerDiam6innerDiam728thick;position16length83927158thick;position26length92758thick;bApplied6100000;sensor36AXSMagneticSystem:;AXSLargeMagneticSource:bApplied,AXSSoftMagneticComponent:Composit1,innerDiam,outerDiam,length,=position1,AXSSoftMagneticComponent:Composit1,innerDiam,outerDiam,length,=position2,AXSSoftMagneticComponent:Composit1,innerDiam,outerDiam,length,position2,AXSSoftMagneticComponent:Composit1,innerDiam,outerDiam,length,position1�,SystemLabel=4?"doublecompositeAluminium9Copperflatconductor",[email protected];A ©
DrawSystem2DBsensor1C;D0.04D0.0200.020.04ZEmmFD0.04D0.0200.020.04RGmmHSystemname:sensor1doubleCopperflatconductor2DviewZRProperties[sensor1]GeneralpropertiesSystemname:sensor1SystemmagneticparityTrueSystemLegendreradius0.056052MagneticfieldattheoriginIGJK0,100000.LFieldmagnitudeattheoriginIGJ100000.SystemmassIKgJ1.13213M10N10SystemnominalpowerIWJ0SystemeffectivepowerIWJ0Numberofcomponents5NumberofferroOmagneticInonrigidJcomponents4Numberofcomponentswithreversiblemagnetization4Numberoflargesources1n°typefirstcelllastcellradialcellsaxialcells2soft15153soft610154soft1115155soft162015P Map1. 1, 23.22 ©
MagneticaUserUnitsQFieldUnitRNanoTeslaS;FieldPointOriginQsensor1,ComponentsListRT2,3,4,5USSystemname:sensor1ThemagneticfieldVinNanoTeslaWattheoriginCalculationmode:AutomaticModeComponentn°2Componenttype:cylindrical,reversiblemagnetizationBr0.000000nTBz1.718580nTBm1.718580nTComponentn°3Componenttype:cylindrical,reversiblemagnetizationBr0.000000nTBz9.910264nTBm9.910264nTComponentn°4Componenttype:cylindrical,reversiblemagnetizationBr0.000000nTBz9.910264nTBm9.910264nTComponentn°5Componenttype:cylindrical,reversiblemagnetizationBr0.000000nTBz1.718580nTBm1.718580nTTotalBr0.000000nTBz23.257688nTBm23.257688nT2. ©
FieldPointOrigin[sensor2,ComponentsListX{{2,5}}]Systemname:sensor2ThemagneticfieldYinNanoTeslaZattheoriginCalculationmode:AutomaticModeComponentn°2Componenttype:cylindrical,reversiblemagnetizationBr0.000000nTBz[3.944282nTBm3.944282nTComponentn°3Componenttype:cylindrical,reversiblemagnetizationBr0.000000nTBz[22.744863nTBm22.744863nTComponentn°4Componenttype:cylindrical,reversiblemagnetizationBr0.000000nTBz[22.744863nTBm22.744863nTComponentn°5Componenttype:cylindrical,reversiblemagnetizationBr0.000000nTBz[3.944282nTBm3.944282nTTotalBr0.000000nTBz[53.378290nTBm53.378290nT3. 3, ©
FieldPointOrigin[sensor3,ComponentsList\{{2,5}}]Systemname:sensor3Themagneticfield]inNanoTesla^attheoriginCalculationmode:AutomaticModeComponentn°2Componenttype:cylindrical,reversiblemagnetizationBr0.000000nTBz_0.082266nTBm0.082266nTComponentn°3Componenttype:cylindrical,reversiblemagnetizationBr0.000000nTBz_0.474393nTBm0.474393nTComponentn°4Componenttype:cylindrical,reversiblemagnetizationBr0.000000nTBz_0.474393nTBm0.474393nTComponentn°5Componenttype:cylindrical,reversiblemagnetizationBr0.000000nTBz_0.082266nTBm0.082266nTTotalBr0.000000nTBz_1.113319nTBm1.113319nT4. on 3©
MagneticaUserUnits`FieldUnitaTeslab;FieldMap`sensor3,Bz,Line`c0.03,d0.03e,c0.03,0.03ebb;f0.03f0.02f0.0100.010.020.03Zgmmh10101010zBiTjSystemname:sensor3doublecompositeAluminiumkCopperflatconductorBzgThgContinuous,AutomaticModehbetweenl0.03,f0.03mandl0.03,0.03m5. on0.06 3ContourFieldMap`sensor3,cBme,Plane`cd0.03,d0.03e,c0.03,0.03eb,NumberOfPointsa30b;f0.03f0.02f0.0100.010.020.03Zgmmhf0.03f0.02f0.0100.010.020.03RimmjSystemname:sensor3doublecompositeAluminiumkCopperflatconductorBmgThgContinuous,AutomaticModehbetweenlf0.03,f0.03mandl0.03,0.03m©
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MagneticaCurrentUnits[]LengthMilliMeterMagneticfieldTeslaMagneticpotentialMicroWeberæMeterMagneticfluxMicroWeberMagneticfieldgradientGaussæMeterInductanceMicroHenryMagneticenergyJouleMagneticmomentMicroAmpereMeter2CurrentintensityAmperePowerWattVoltageVoltElectricalResistanceOhmç 1.2.è on Nt, Nt è x Nt less,quite b h dm. é êê 2ëëëëëëëëëëëbx Nturns2 êê Nturns2 ©
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Á‚ 1.2.3.4.5.6.‚ filament tubular winding. \n 100\n Winding 30\n 0,\n 20,©
0.5loopFilament AXSMagneticSystem\rAXSCircularLoop\rCopperOFHC,100,30,0,20,0.5,FillingFactor0.7loopTubular AXSMagneticSystem\rAXSCircularLoop\rCopperOFHC,100,30,0,20,0.5,FillingFactor0.7,FilamentModeFalseAXSMagneticSystem:loopAXSMagneticSystem:loopDrawSystem2D\rloopFilament6040200204060Zmm6040200204060RmmSystemname:loopFilament2DviewZRGraphics SelfInductance\rloopFilament,1SelfInductance\rloopTubular,141.12539.7611©
NumberFormSelfInductanceloopFilament,1,12NumberFormSelfInductanceloopTubular,1,1241.124990112739.7611108556MagneticaUserUnitsInductanceUnit HenrySelfInductanceloopFilament,1SelfInductanceloopTubular,1!InductanceUnit"Henry,FieldUnit"Tesla#0.0000411250.0000397611SelfFluxInductanceloopFilament,1SelfFluxInductanceloopTubular,120.562519.8806SelfMagneticEnergyloopFilament,1SelfMagneticEnergyloopTubular,15.14062$10%64.97014$10%6MagneticaUserUnitsMagneticEnergyUnit JouleSelfMagneticEnergyloopFilament,1SelfMagneticEnergyloopTubular,1!MagneticEnergyUnit"Joule,InductanceUnit"Henry,FieldUnit"Tesla#5.14062$10%64.97014$10%6©
MagneticaUserUnits&';VerboseSelfInductance&loopTubular,1'VerboseSelfFluxInductance&loopTubular,1'VerboseSelfMagneticEnergy&loopTubular,1'Systemname:loopTubularSelfinductancePrecisionLevel:1Componentn°1Componenttype:circularloopwindingNumberofturns:20.Current:0.500000AProperselfinductance:39.761111(HFerromagneticcontribution:0.000000(HTotalselfinductance:39.761111(HSystemname:loopTubularSelffluxinductancePrecisionLevel:1Componentn°1Componenttype:circularloopwindingNumberofturns:20.Current:0.500000AProperselfinductance:19.880555(WbFerromagneticcontribution:0.000000(WbTotalselfinductance:19.880555(WbSystemname:loopTubularSelfmagneticenergyPrecisionLevel:1Componentn°1Componenttype:circularloopwindingNumberofturns:20.Current:0.500000AProperselfinductance:4.970139e)6JFerromagneticcontribution:0.000000JTotalselfinductance:4.970139e)6JNumberForm&SelfInductance&loopFilament,1,PrecisionLevel*2',12'NumberForm&SelfInductance&loopTubular,1,PrecisionLevel*2',12'41.125239301439.73912736©
NumberForm+SelfInductance+loopFilament,1,PrecisionLevel,3-,12-NumberForm+SelfInductance+loopTubular,1,PrecisionLevel,3-,12-41.125277273739.7346849847‚ . / square.////. /- 10- 50 height 20 30- 20- 0,- 400- 0.2- 0.2solenoid10AXSMagneticSystem+1AXSSolenoid+CopperOFHC,10,50,20,0,400,0.2,ConductorDiameter230.2-4,SystemLabel23"squaresolenoidsetclosetotheaxis"-5AXSMagneticSystem:65solenoid575©
DrawSystem2D8solenoid19:20:1001020Z;mm:20:1001020R=mm�Systemname:solenoid1squaresolenoidsetclosetotheaxis2DviewZR?Graphics?Properties8solenoid19GeneralpropertiesSystemname:solenoid1Systemmagnet[email protected]GAB0,[email protected]@[email protected]@WA0.82752Numberofcomponents1Numberofcurrentcarryingcomponent1D 1, - 20- 40 height 10 30- 10solenoid2EAXSMagneticSystem8FAXSSolenoid8CopperOFHC,20,40,10,0,400,0.2,ConductorDiameterGH0.29I,SystemLabelJ"squaresolenoidtypeBROOK"9KAXSMagneticSystem:BKsolenoidKCK©
DrawSystem2DLsolenoid2MN20N1001020ZOmmPN20N1001020RQmmRSystemname:solenoid2squaresolenoidtypeBROOK2DviewZRSGraphicsSPropertiesLsolenoid2MGeneralpropertiesSystemname:solenoid2SystemmagneticparityTrueSystemLegendreradius15.3078MagneticfieldattheoriginTGUV0,32.7267WFieldmagnitudeattheoriginTGU32.7267SystemmassTKgU0.0105644SystemnominalpowerTWU0.82752SystemeffectivepowerTWU0.82752Numberofcomponents1Numberofcurrentcarryingcomponent1X 1, - 25- 35 height 5- 5©
solenoid3YAXSMagneticSystemZ[AXSSolenoidZCopperOFHC,25,35,5,0,400,0.2,ConductorDiameter\0.2]^,SystemLabel\"squaresolenoidsetfar"]_AXSMagneticSystem:`_solenoid_a_DrawSystem2DZsolenoid3]b15b10b5051015Zcmmdb15b10b5051015RemmfSystemname:solenoid3squaresolenoidsetfar2DviewZRgGraphicsgPropertiesZsolenoid3,ComponentsList\[1^]GeneralpropertiesSystemname:solenoid3SystemmagneticparityTrueSystemLegendreradius15.0888MagneticfieldattheoriginhGi`0,33.3444aFieldmagnitudeattheoriginhGi33.3444SystemmasshKgi0.0105644SystemnominalpowerhWi0.82752SystemeffectivepowerhWi0.82752Numberofcomponents1Numberofcurrentcarryingcomponent11Typeofcomponent:cylindricalsolenoidGeometryofthecylindricalcurrentsolenoidNominalinnerdiameterhmmi25.00000Effectiveinnerdiameterhmmi25.00000Nominalouterdiameterhmmi35.00000©
NominalouterdiameterjmmkEffectiveouterdiameterjmmk35.00000Nominalmeandiameterjmmk30.00000Nominalaxiallengthjmmk5.00000Effectiveaxiallengthjmmk5.00000WindingspecificationsMaterial:highconductivityOFHCCopperWindingtemperaturej°Ck20.00000Nominalresistivityjlmcmk1.72400en6Effectiveresistivity1.72400en6Nominalvolumerelativesusceptibilityn6.10000en7Effectivesusceptibilityn6.10000en7Materialmassdensityjgocm^3k8.92000Fillingfactorofwindingj%k50.26548Massofthematerialjkgk0.01056PositionofthesolenoidpinthereferentialspacesystemqSolenoidcentercoord.Zjmmk0.00000Effectiveinnerradiusjmmk12.50000Effectiveouterradiusjmmk17.50000EffectivelowerZextremumjmmkn2.50000EffectivehigherZextremumjmmk2.50000ElectricalspecificationsofthesolenoidNumberofturnsjinseriesk400.00000Directionaccordingtherighthandrule:counterclockwiseDirectionoftheturnsrTypeofcurentdensityconstantCurrentjperturnskjAk0.20000TotalwindingcurrentjAmturnsk80.00000ConductorcurrentdensityjAomm^2k6.36620Nominalsolenoidresistancejlk20.68800Effectivesolenoidresist.jlk20.68800NominalvoltagedropjVk4.13760EffectivevoltagedropjVk4.13760NominalsolenoidpowerjWk0.82752EffectivesolenoidpowerjWk0.82752ConductordimensionsConductorgeometrycircularEffectiveconductordiameterjmmk0.20000Nominalconductorlengthjmmk37699.11184Effectiveconductorlengthjmmk37699.11184s ©
SelfInductancetsolenoid1,1uSelfInductancetsolenoid2,1uSelfInductancetsolenoid3,1u2396.834079.016038.14v 1 9.98509, 2396.42v 2 16.9951, 4078.82v 3 25.1618, 6038.83 5wx5.MagneticaUserUnitstInductanceUnityMilliHenryu;NumberFormtSelfInductancetsolenoid1,1,PrecisionLevely2u,12uNumberFormtSelfInductancetsolenoid2,1,PrecisionLevely2u,12uNumberFormtSelfInductancetsolenoid3,1,PrecisionLevely2u,12u2.396198235034.078509963656.03766491547NumberFormtSelfInductancetsolenoid1,1,PrecisionLevely3u,12uNumberFormtSelfInductancetsolenoid2,1,PrecisionLevely3u,12uNumberFormtSelfInductancetsolenoid3,1,PrecisionLevely3u,12u2.396196132264.078507868326.03766282301‚ z ©
{ like,{ thick like.| { ---- 0- 440,- 0.35-solenoid4}AXSMagneticSystem~AXSSolenoid~CopperOFHC,541.090,542.358,305.51,0,440,0.35,ConductorDiameter€0.634‚ƒ,SystemLabel„"thinsolenoidsinglelayerofsmallwire"‚…AXSMagneticSystem:†…solenoid…‡…DrawSystem2D~solenoid4‚;ˆ300ˆ200ˆ1000100200300Z‰mmŠˆ300ˆ200ˆ1000100200300R‹mmŒSystemname:solenoid4thinsolenoidsinglelayerofsmallwire2DviewZR©
Propertiessolenoid4ŽGeneralpropertiesSystemname:solenoid4SystemmagneticparityTrueSystemLegendreradius290.894MagneticfieldattheoriginG‘0,3.11162’FieldmagnitudeattheoriginG3.11162SystemmassKg2.1087SystemnominalpowerW5.0094SystemeffectivepowerW5.0094Numberofcomponents1Numberofcurrentcarryingcomponent1“ thick like. (N.B.: - 856- 1530- 51- 0- 254- 150- 2.5 x 20solenoid5”AXSMagneticSystem•AXSSolenoidCopperOFHC,856,1530,51,0,254,150,ConductorHeightWidth–•2.5,20—Ž—,SystemLabel–"pancakeresistivecoil"Ž˜AXSMagneticSystem:‘˜solenoid˜’˜©
DrawSystem2D™solenoid5š›750›500›2500250500750Zœmm›750›500›2500250500750RžmmŸSystemname:solenoid5pancakeresistivecoil2DviewZR Graphics Properties™solenoid5šGeneralpropertiesSystemname:solenoid5SystemmagneticparityTrueSystemLegendreradius596.712Magneticfieldattheorigin¡G¢£0,412.108¤Fieldmagnitudeattheorigin¡G¢412.108Systemmass¡Kg¢424.579Systemnominalpower¡W¢7385.4Systemeffectivepower¡W¢7385.4Numberofcomponents1Numberofcurrentcarryingcomponent1¥ ¦MagneticaUserUnits™InductanceUnit§MilliHenryšSelfInductance™solenoid4,1š£InductanceUnit¨HenryMilli¤101.667©
VerboseSelfInductance©solenoid4,1ªSystemname:solenoid4SelfinductancePrecisionLevel:1Componentn°1Componenttype:cylindricalsolenoidNumberofturns:440.Current:0.350000AProperselfinductance:101.667378mHFerromagneticcontribution:0.000000mHTotalselfinductance:101.667378mH 2NumberForm©SelfInductance©solenoid4,1,PrecisionLevel«2ª,12ª101.66734766 37 101.69 2 10¬4. 0.35SelfMagneticEnergy©solenoid4,1ªVerboseSelfMagneticEnergy©solenoid4,1ª0.00622713Systemname:solenoid4SelfmagneticenergyPrecisionLevel:1Componentn°1Componenttype:cylindricalsolenoidNumberofturns:440.Current:0.350000AProperselfinductance:0.006227JFerromagneticcontribution:0.000000JTotalselfinductance:0.006227J­ thickMagneticaUserUnits©InductanceUnit«MilliHenryªSelfInductance©solenoid5,1ª®InductanceUnit¯HenryMilli°98.1242©
VerboseSelfInductance±solenoid5,1²Systemname:solenoid5SelfinductancePrecisionLevel:1Componentn°1Componenttype:cylindricalsolenoidNumberofturns:254.Current:150.000000AProperselfinductance:98.124209mHFerromagneticcontribution:0.000000mHTotalselfinductance:98.124209mH 2NumberForm±SelfInductance±solenoid5,1,PrecisionLevel³2²,12²98.110533218 36 10, results: 97.811 2 3 10´3. 150SelfMagneticEnergy±solenoid5,1²VerboseSelfMagneticEnergy±solenoid5,1²1103.9Systemname:solenoid5SelfmagneticenergyPrecisionLevel:1Componentn°1Componenttype:cylindricalsolenoidNumberofturns:254.Current:150.000000AProperselfinductance:1103.897352JFerromagneticcontribution:0.000000JTotalselfinductance:1103.897352J‚ µ ¶ 2-©
-- 50- 100,- 2pairloopidentic·AXSMagneticSystem¸¹AXSCircularLoop¸CopperOFHC,200,50,º50,100,2,FillingFactorº»0.6¼,AXSCircularLoop¸CopperOFHC,200,50,50,100,2,FillingFactorº»0.6¼½,SystemLabelº»"pairofidenticalfilamentloops"¼¾AXSMagneticSystem:¿¾loop¾,¾loop¾À¾DrawSystem2D¸pairloopidentic¼Á100Á50050100ZÂmmÃÁ100Á50050100RÄmmÅSystemname:pairloopidenticpairofidenticalfilamentloops2DviewZRÆGraphicsÆÇ 2 two- 400 700- 150 60- 50- 60 100- 2 1.2pairloopdissim·AXSMagneticSystem¸¹AXSCircularLoop¸CopperOFHC,400,150,º150,60,2,FillingFactorº»0.6¼,AXSCircularLoop¸CopperOFHC,700,60,50,100,1.2,FillingFactorº»0.6¼½,SystemLabelº»"pairofdissimilarfilamentloops"¼¾AXSMagneticSystem:¿¾loop¾,¾loop¾À¾©
DrawSystem2DÈpairloopdissimÉÊ400Ê2000200ZËmmÌÊ400Ê2000200400RÍmmÎSystemname:pairloopdissimpairofdissimilarfilamentloops2DviewZRÏGraphicsÏÐ MagneticaUserUnitsÈInductanceUnitÑÒMilliHenryÉÓInductanceUnitÔHenryMilliÕMutualInductanceÈpairloopidentic,Ö1,2×É0.497252VerboseMutualInductanceÈpairloopidentic,Ö1,2×ÉSystemname:pairloopidenticMutualinductancePrecisionLevel:1PrimarycoilSecondarycoilComponentnumber:12Componentcategory:circularloopwindingcircularloopwindingCircuitscurrent2.000000A2.000000ANumberofturns:100.000000100.000000Mutualinductance0.497252mH0.497252mHInductanceMatrixÈpairloopidenticÉÓÓÓ2.27842,0.497252Õ,Ó0.497252,2.27842ÕÕ,Ó1,2ÕÕInductanceMatrixÈpairloopidenticÉÈÈ1ÉÉØØMatrixFormÙ2.278420.4972520.4972522.27842Ú©
VerboseInductanceMatrixÛpairloopidenticÜSystemname:pairloopidenticInductancematrixÝinMilliHenryÞPrecisionLevel:11212.27840.497320.49732.2784Involvedcomponentscomponentstypenbturnscurrent1loop100.2.000000A2loop100.2.000000AVerboseFluxInductanceMatrixÛpairloopidenticÜSystemname:pairloopidenticFluxinductancematrixÝinMicroWeberÞPrecisionLevel:11214556.8355994.50422994.50424556.8355Involvedcomponentscomponentstypenbturnscurrent1loop100.2.000000A2loop100.2.000000AInductanceCouplingÛpairloopidentic,ß1,2àÜáá0.218244,Irrelevantâ,á0.0476307,Irrelevantâ,á0.952369,Irrelevantâ,á1.,Irrelevantââcomponents.©
VerboseInductanceCouplingãpairloopidentic,ä1,2åæSystemname:pairloopidenticInductanceCouplingPrecisionLevel:1Numberofcomponents2Numberofcurrentcarryingcomponent2primarycoilsecondarycoilComponentnumber:1.00002.0000Componentcategory:looploopCircuitscurrentçAè:2.00002.0000Numberofturns:100.0000100.0000Transfoturnratio1.000aircoredataSelfinductanceçmHè2.27842.2784Mutualinduc.1éê2çmHè0.4973SelffluxçëWbè4556.83554556.8355Mutualflux1éê2çëWbè994.5042aircoreCouplingcoefficient0.218244Efficiencycoefficient0.047631Leakagecoefficient0.952369Transformationcoeff.1.0000ì MutualInductanceãpairloopdissim,ä1,2åæ0.850428VerboseMutualInductanceãpairloopdissim,ä1,2åæSystemname:pairloopdissimMutualinductancePrecisionLevel:1PrimarycoilSecondarycoilComponentnumber:12Componentcategory:circularloopwindingcircularloopwindingCircuitscurrent2.000000A1.200000ANumberofturns:60.000000100.000000Mutualinductance0.850428mH0.850428mHInductanceMatrixãpairloopdissimæííí1.28745,0.850428î,í0.850428,12.6294îî,í1,2îîInductanceMatrixãpairloopdissimæãã1ææïïMatrixFormð1.287450.8504280.85042812.6294ñ©
VerboseInductanceMatrixòpairloopdissimóSystemname:pairloopdissimInductancematrixôinMilliHenryõPrecisionLevel:11211.28740.850420.850412.6294Involvedcomponentscomponentstypenbturnscurrent1loop60.2.000000A2loop100.1.200000AVerboseFluxInductanceMatrixòpairloopdissimóSystemname:pairloopdissimFluxinductancematrixôinMicroWeberõPrecisionLevel:11212574.89741700.855421020.513315155.3210Involvedcomponentscomponentstypenbturnscurrent1loop60.2.000000A2loop100.1.200000AInductanceMatrixòpairloopdissim,InductanceUnitöMilliHenryó÷÷÷1.28745,0.850428ø,÷0.850428,12.6294øø,÷1,2øøInductanceCouplingòpairloopdissim,ù1,2úó÷÷0.210902,Irrelevantø,÷0.0444796,Irrelevantø,÷0.95552,Irrelevantø,÷4.68825,Irrelevantøø©
VerboseInductanceCouplingûpairloopdissim,ü1,2ýþSystemname:pairloopdissimInductanceCouplingPrecisionLevel:1Numberofcomponents2Numberofcurrentcarryingcomponent2primarycoilsecondarycoilComponentnumber:1.00002.0000Componentcategory:looploopCircuitscurrentÿA:2.00001.2000Numberofturns:60.0000100.0000Transfoturnratio1.667aircoredataSelfinductanceÿmH1.287412.6294Mutualinduc.12ÿmH0.8504SelffluxÿWb2574.897415155.3210Mutualflux12ÿWb1700.8554aircoreCouplingcoefficient0.210902Efficiencycoefficient0.044480Leakagecoefficient0.955520Transformationcoeff.4.6882‚  pairsolidenticAXSMagneticSystemûüAXSSolenoidûCopperOFHC,175,225,25,30,200,2,FillingFactor0.6þ,AXSSolenoidûCopperOFHC,175,225,25,30,200,2,FillingFactor0.6þý,SystemLabel "pairofidenticalsolenoids"þAXSMagneticSystem:\nsolenoid,solenoid ©
DrawSystem2D pairsolidentic\r10050050100Zmm10050050100RmmSystemname:pairsolidenticpairofidenticalsolenoids2DviewZRGraphics MutualInductance pairsolidentic,1,2\r3.73709InductanceMatrix pairsolidentic\r11.4721,3.73709,3.73709,11.4721,1,2InductanceMatrix pairsolidentic,PrecisionLevel2\r 1\r\rMatrixForm11.47133.737283.7372811.4713VerboseInductanceMatrix pairsolidentic,PrecisionLevel3\rSystemname:pairsolidenticInductancematrixinMilliHenryPrecisionLevel:312111.47133.737323.737311.4713Involvedcomponentscomponentstypenbturnscurrent1solenoid200.2.000000A2solenoid200.2.000000A©
VerboseFluxInductanceMatrixpairsolidentic Systemname:pairsolidenticFluxinductancematrix!inMicroWeber"PrecisionLevel:112122944.11137474.176827474.176822944.1113Involvedcomponentscomponentstypenbturnscurrent1solenoid200.2.000000A2solenoid200.2.000000AVerboseMagneticEnergyMatrixpairsolidentic,MagneticEnergyUnit#MilliJoule Systemname:pairsolidenticMagneticenergymatrix!inMilliJoule"PrecisionLevel:112122.94417.474227.474222.9441Involvedcomponentscomponentstypenbturnscurrent1solenoid200.2.000000A2solenoid200.2.000000AVerboseSelfInductancepairsolidentic,All Systemname:pairsolidenticSelfinductancePrecisionLevel:1Componentn°1Componenttype:cylindricalsolenoidNumberofturns:200.Current:2.000000AProperselfinductance:11.472056mHFerromagneticcontribution:0.000000mHTotalselfinductance:11.472056mHComponentn°2Componenttype:cylindricalsolenoidNumberofturns:200.Current:2.000000AProperselfinductance:11.472056mHFerromagneticcontribution:0.000000mHTotalselfinductance:11.472056mHTotal!inseries"Properselfinductance:22.944111mHFerromagneticcontribution:0.000000mHTotalselfinductance:22.944111mH©
InductanceCoupling$pairsolidentic,%1,2&'((0.325756,Irrelevant),(0.106117,Irrelevant),(0.893883,Irrelevant),(1.,Irrelevant))‚ * pairsoldissim+AXSMagneticSystem$%AXSSolenoid$CopperOFHC,260,320,150,0,500,2,FillingFactor,-0.6',AXSSolenoid$CopperOFHC,150,250,100,0,80,15,FillingFactor,-0.6'&,SystemLabel."pairofdissimilarsuperposedsolenoids"'/AXSMagneticSystem:(/solenoid/,/solenoid/)/DrawSystem2D$pairsoldissim'01500100050050100150Z1mm201500100050050100150R3mm4Systemname:pairsoldissimpairofdissimilarsuperposedsolenoids2DviewZR5Graphics5* MutualInductance$pairsoldissim,%1,2&'5.3942InductanceMatrix$pairsoldissim'(((65.5243,5.3942),(5.3942,1.01098)),(1,2))©
InductanceMatrix6pairsoldissim,PrecisionLevel7286618899MatrixForm:65.525.394745.394741.01059;VerboseInductanceMatrix6pairsoldissim,PrecisionLevel738Systemname:pairsoldissimInductancematrixinMilliHenry=PrecisionLevel:312165.52005.394725.39471.0106Involvedcomponentscomponentstypenbturnscurrent1solenoid500.2.000000A2solenoid80.15.000000AVerboseFluxInductanceMatrix6pairsoldissim8Systemname:pairsoldissimFluxinductancematrixinMicroWeber=PrecisionLevel:1121131048.591010788.4000280913.000215164.7168Involvedcomponentscomponentstypenbturnscurrent1solenoid500.2.000000A2solenoid80.15.000000AVerboseMagneticEnergyMatrix6pairsoldissim,MagneticEnergyUnit7MilliJoule8Systemname:pairsoldissimMagneticenergymatrixinMilliJoule=PrecisionLevel:1121131.048680.9130280.9130113.7354Involvedcomponentscomponentstypenbturnscurrent1solenoid500.2.000000A2solenoid80.15.000000A©
VerboseSelfInductance�pairsoldissim,All?Systemname:pairsoldissimSelfinductancePrecisionLevel:1Componentn°1Componenttype:cylindricalsolenoidNumberofturns:500.Current:2.000000AProperselfinductance:65.524295mHFerromagneticcontribution:0.000000mHTotalselfinductance:65.524295mHComponentn°2Componenttype:cylindricalsolenoidNumberofturns:80.Current:15.000000AProperselfinductance:1.010981mHFerromagneticcontribution:0.000000mHTotalselfinductance:[email protected]:66.535277mHFerromagneticcontribution:0.000000mHTotalselfinductance:66.535277mHInductanceCoupling�pairsoldissim,B1,2C?DD0.662757,IrrelevantE,D0.439247,IrrelevantE,D0.560753,IrrelevantE,D0.122443,IrrelevantEEVerboseInductanceCoupling�pairsoldissim,B1,2C?Systemname:pairsoldissimInductanceCouplingPrecisionLevel:1Numberofcomponents2Numberofcurrentcarryingcomponent2primarycoilsecondarycoilComponentnumber:1.00002.0000Componentcategory:[email protected]:2.000015.0000Numberofturns:[email protected]mHA65.52431.0110Mutualinduc.1G[email protected]@IWbA131048.591015164.7168Mutualflux1G[email protected]fficient0.439247Leakagecoefficient0.560753Transformationcoeff.1F8.1671©
Á‚ 1.2.3.4.5.6.‚ aJ loopferro1KAXSMagneticSystemLMAXSCircularLoopLCopperOFHC,275,80,0,120,150,FillingFactorNO0.6P,AXSSoftMagneticComponentLSteelCommon1,0,160,350,0PQ,SystemLabelR"singleloopandferromagneticcore"PSAXSMagneticSystem:TSloopS,SsoftSUS©
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FieldPointOrigin_loopferro1`Systemname:loopferro1ThemagneticfieldainGaussbattheoriginCalculationmode:AutomaticModeBr0.000000GBz3452.188421GBm3452.188421GSelfInductance_loopferro1,1,ContributionTypecProper`SelfInductance_loopferro1,1,ContributionTypecFerro`SelfInductance_loopferro1,1,ContributionTypecTotal`4.145296.5663410.7116MagneticaUserUnits_FluxUnitcMilliWeber`;SelfFluxInductance_loopferro1,1,ContributionTypecProper`SelfFluxInductance_loopferro1,1,ContributionTypecFerro`SelfFluxInductance_loopferro1,1,ContributionTypecTotal`MagneticaUserUnits_`;621.793984.9511606.74MagneticaUserUnits_MagneticEnergyUnitcJoule`SelfMagneticEnergy_loopferro1,1,ContributionTypecProper`SelfMagneticEnergy_loopferro1,1,ContributionTypecFerro`SelfMagneticEnergy_loopferro1,1,ContributionTypecTotal`MagneticaUserUnits_`;dMagneticEnergyUniteJoulef46.634573.8713120.506Henry).©
VerboseSelfInductancegloopferro1,1hSystemname:loopferro1SelfinductancePrecisionLevel:1Componentn°1Componenttype:circularloopwindingNumberofturns:120.Current:150.000000AProperselfinductance:4145.288709iHFerromagneticcontribution:6566.338185iHTotalselfinductance:10711.626894iHVerboseSelfFluxInductancegloopferro1,1,FluxUnitjMilliWeberhSystemname:loopferro1SelffluxinductancePrecisionLevel:1Componentn°1Componenttype:circularloopwindingNumberofturns:120.Current:150.000000AProperselfinductance:621.793306mWbFerromagneticcontribution:984.950728mWbTotalselfinductance:1606.744034mWbJoule.VerboseSelfMagneticEnergygloopferro1,1,MagneticEnergyUnitjJoulehSystemname:loopferro1SelfmagneticenergyPrecisionLevel:1Componentn°1Componenttype:circularloopwindingNumberofturns:120.Current:150.000000AProperselfinductance:46.634498JFerromagneticcontribution:73.871305JTotalselfinductance:120.505803J©
‚ ak solferro1lAXSMagneticSystemmnAXSSolenoidmCopperOFHC,215,375,80,0,120,150,FillingFactorop0.6q,AXSSoftMagneticComponentmIronInd3,0,160,350,0qr,SystemLabels"singlesquaresolenoidwithferromagneticcore"qtAXSMagneticSystem:utsolenoidt,tsofttvtDrawSystemmsolferro1qSystemname:solferro1singlesquaresolenoidwithferromagneticcore3DviewZYXw200w1000100200Xxmmyw200w1000100200Yxmmyw200w1000100200Zxmmy200w1000100Xxmmy200w1000100ZxmmyzGraphics3Dz©
DrawSystem2D{solferro1|}200}1000100200Z~mm}200}1000100200R€mmSystemname:solferro1singlesquaresolenoidwithferromagneticcore2DviewZR‚Graphics‚ƒ aFieldPointOrigin{solferro1|Systemname:solferro1Themagneticfield„inGauss…attheoriginCalculationmode:AutomaticModeBr0.000000GBz3212.042336GBm3212.042336GSelfInductance{solferro1,1,ContributionType†Proper|SelfInductance{solferro1,1,ContributionType†Ferro|SelfInductance{solferro1,1,ContributionType†Total|4111.135989.2110100.3©
MagneticaUserUnits‡FluxUnitˆMilliWeber‰;SelfFluxInductance‡solferro1,1,ContributionTypeˆProper‰SelfFluxInductance‡solferro1,1,ContributionTypeˆFerro‰SelfFluxInductance‡solferro1,1,ContributionTypeˆTotal‰MagneticaUserUnits‡‰;616.67898.3821515.05MagneticaUserUnits‡MagneticEnergyUnitˆJoule‰SelfMagneticEnergy‡solferro1,1,ContributionTypeˆProper‰SelfMagneticEnergy‡solferro1,1,ContributionTypeˆFerro‰SelfMagneticEnergy‡solferro1,1,ContributionTypeˆTotal‰MagneticaUserUnits‡‰;ŠMagneticEnergyUnit‹JouleŒ46.250367.3787113.629Henry).VerboseSelfInductance‡solferro1,1‰Systemname:solferro1SelfinductancePrecisionLevel:1Componentn°1Componenttype:cylindricalsolenoidNumberofturns:120.Current:150.000000AProperselfinductance:4111.134187HFerromagneticcontribution:5989.213516HTotalselfinductance:10100.347702H©
VerboseSelfFluxInductanceŽsolferro1,1,FluxUnitMilliWeberSystemname:solferro1SelffluxinductancePrecisionLevel:1Componentn°1Componenttype:cylindricalsolenoidNumberofturns:120.Current:150.000000AProperselfinductance:616.670128mWbFerromagneticcontribution:898.382027mWbTotalselfinductance:1515.052155mWbJoule.VerboseSelfMagneticEnergyŽsolferro1,1,MagneticEnergyUnitJouleSystemname:solferro1SelfmagneticenergyPrecisionLevel:1Componentn°1Componenttype:cylindricalsolenoidNumberofturns:120.Current:150.000000AProperselfinductance:46.250260JFerromagneticcontribution:67.378652JTotalselfinductance:113.628912J‚ a‘ solferro2’AXSMagneticSystemŽ“AXSSolenoidŽCopperOFHC,215,265,348,0,120,150,FillingFactor”•0.6,AXSSoftMagneticComponentŽSiSteel2,0,160,350,0–,SystemLabel"longsolenoidwithferromagneticcore"—AXSMagneticSystem:˜—solenoid—,—soft—™—©
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FieldPointOrigin£solferro2¤Systemname:solferro2Themagneticfield¥inGauss¦attheoriginCalculationmode:AutomaticModeBr0.000000GBz2581.031978GBm2581.031978GSelfInductance£solferro2,1,ContributionType§Proper¤SelfInductance£solferro2,1,ContributionType§Ferro¤SelfInductance£solferro2,1,ContributionType§Total¤1645.834616.046261.87MagneticaUserUnits£FluxUnit§MilliWeber¤;SelfFluxInductance£solferro2,1,ContributionType§Proper¤SelfFluxInductance£solferro2,1,ContributionType§Ferro¤SelfFluxInductance£solferro2,1,ContributionType§Total¤MagneticaUserUnits£¤;246.874692.406939.28MagneticaUserUnits£MagneticEnergyUnit§Joule¤SelfMagneticEnergy£solferro2,1,ContributionType§Proper¤SelfMagneticEnergy£solferro2,1,ContributionType§Ferro¤SelfMagneticEnergy£solferro2,1,ContributionType§Total¤MagneticaUserUnits£¤;¨MagneticEnergyUnit©Jouleª18.515551.930470.446Henry).©
VerboseSelfInductance«solferro2,1¬Systemname:solferro2SelfinductancePrecisionLevel:1Componentn°1Componenttype:cylindricalsolenoidNumberofturns:120.Current:150.000000AProperselfinductance:1645.825760­HFerromagneticcontribution:4616.039742­HTotalselfinductance:6261.865501­HVerboseSelfFluxInductance«solferro2,1,FluxUnit®MilliWeber¬Systemname:solferro2SelffluxinductancePrecisionLevel:1Componentn°1Componenttype:cylindricalsolenoidNumberofturns:120.Current:150.000000AProperselfinductance:246.873864mWbFerromagneticcontribution:692.405961mWbTotalselfinductance:939.279825mWbJouleVerboseSelfMagneticEnergy«solferro2,1,MagneticEnergyUnit®Joule¬Systemname:solferro2SelfmagneticenergyPrecisionLevel:1Componentn°1Componenttype:cylindricalsolenoidNumberofturns:120.Current:150.000000AProperselfinductance:18.515540JFerromagneticcontribution:51.930447JTotalselfinductance:70.445987J©
‚ ¯ Alooppairferro1°AXSMagneticSystem±²AXSCircularLoop±CopperOFHC,275,80,³80,120,150,FillingFactor´0.6µ,AXSCircularLoop±CopperOFHC,275,80,80,120,150,FillingFactor´0.6µ,AXSSoftMagneticComponent±SteelCommon1,0,160,350,0µ¶,SystemLabel´"pairofloopsandferromagneticcore"µ·AXSMagneticSystem:¸·loop·,·loop·,·soft·¹·DrawSystem±looppairferro1µSystemname:looppairferro1pairofloopsandferromagneticcore3DviewZYXº1000100X»mm¼º1000100Y»mm¼º1000100Z»mm¼º1000100X»mm¼º1000100Z»mm¼½Graphics3D½©
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VerboseFluxInductanceMatrixÔlooppairferro1,FluxUnitÕMilliWeberÖSystemname:looppairferro1Fluxinductancematrix×inMilliWeberØPrecisionLevel:1121621.7933117.51332117.5133621.7933Involvedcomponentscomponentstypenbturnscurrent1loop120.150.000000A2loop120.150.000000AVerboseFluxInductanceMatrixÔlooppairferro1,FluxUnitÕMilliWeber,ContributionTypeÕFerroÖSystemname:looppairferro1Fluxinductancematrix×inMilliWeberØPrecisionLevel:1121835.1789616.05452616.0545835.1789Involvedcomponentscomponentstypenbturnscurrent1loop120.150.000000A2loop120.150.000000AVerboseFluxInductanceMatrixÔlooppairferro1,FluxUnitÕMilliWeber,ContributionTypeÕTotalÖSystemname:looppairferro1Fluxinductancematrix×inMilliWeberØPrecisionLevel:11211456.9722733.56782733.56781456.9722Involvedcomponentscomponentstypenbturnscurrent1loop120.150.000000A2loop120.150.000000AFluxInductanceMatrixÔlooppairferro1,ContributionTypeÕTotalÖÙÙÙ1.45697Ú106,733568.Û,Ù733568.,1.45697Ú106ÛÛ,Ù1,2ÛÛ©
VerboseMagneticEnergyMatrixÜlooppairferro1,MagneticEnergyUnitÝJouleÞSystemname:looppairferro1MagneticenergymatrixßinJouleàPrecisionLevel:112146.63458.813528.813546.6345Involvedcomponentscomponentstypenbturnscurrent1loop120.150.000000A2loop120.150.000000AVerboseMagneticEnergyMatrixÜlooppairferro1,ContributionTypeÝFerro,MagneticEnergyUnitÝJouleÞSystemname:looppairferro1MagneticenergymatrixßinJouleàPrecisionLevel:112162.638446.2041246.204162.6384Involvedcomponentscomponentstypenbturnscurrent1loop120.150.000000A2loop120.150.000000AMagneticEnergyMatrixÜlooppairferro1,ContributionTypeÝFerro,MagneticEnergyUnitÝJouleÞááá62.6384,46.2041â,á46.2041,62.6384ââ,á1,2ââVerboseMagneticEnergyMatrixÜlooppairferro1,ContributionTypeÝTotal,MagneticEnergyUnitÝJouleÞSystemname:looppairferro1MagneticenergymatrixßinJouleàPrecisionLevel:1121109.272955.0176255.0176109.2729Involvedcomponentscomponentstypenbturnscurrent1loop120.150.000000A2loop120.150.000000AInductanceCouplingÜlooppairferro1,ã1,2äÞáá0.188991,0.592616â,á0.0357176,0.351193â,á0.964282,0.648807â,á1.,1.ââ©
VerboseInductanceCouplingålooppairferro1,æ1,2çèSystemname:looppairferro1InductanceCouplingPrecisionLevel:1Numberofcomponents3Numberofcurrentcarryingcomponent2Numberofferroémagneticênonrigidëcomponents1Numberofcomponentswithreversiblemagnetization1primarycoilsecondarycoilComponentnumber:1.00002.0000Componentcategory:looploopCircuitscurrentêAë:150.0000150.0000Numberofturns:120.0000120.0000Transfoturnratio1.000aircoredataSelfinductanceêìHë4145.28874145.2887Mutualinduc.1éí2êìHë783.4223SelffluxêìWbë621793.3060621793.3060Mutualflux1éí2êìWbë117513.3430ferrocoredataSelfinductanceêìHë5567.85925567.8592Mutualinduc.1éí2êìHë4107.0297SelffluxêìWbë835178.8730835178.8730Mutualflux1éí2êìWbë616054.4600aircorewithferrocoreCouplingcoefficient0.1889910.592616Efficiencycoefficient0.0357180.351193Leakagecoefficient0.9642820.648807Transformationcoeff.1.00001.0000‚ î Asolpairferro1ïAXSMagneticSystemåæAXSSolenoidåCopperOFHC,215,375,80,ð80,120,150,FillingFactorñ0.6è,AXSSolenoidåCopperOFHC,215,375,80,80,120,150,FillingFactorñ0.6è,AXSSoftMagneticComponentåIronInd3,0,160,350,0èç,SystemLabelñ"pairsquaresolenoidswithferromagneticcore"èéAXSMagneticSystem:òésolenoidé,ésolenoidé,ésoftéóé©
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VerboseInductanceMatrixsolpairferro1,ContributionTypeTotalSystemname:solpairferro1InductancematrixinMicroHenryPrecisionLevel:11219165.48744881.720524881.72059165.4874Involvedcomponentscomponentstypenbturnscurrent1solenoid120.150.000000A2solenoid120.150.000000AInductanceMatrixsolpairferro11 \n MatrixForm 4111.13957.298957.2984111.13 VerboseFluxInductanceMatrixsolpairferro1,FluxUnitMilliWeberSystemname:solpairferro1FluxinductancematrixinMilliWeberPrecisionLevel:1121616.6701143.59472143.5947616.6701Involvedcomponentscomponentstypenbturnscurrent1solenoid120.150.000000A2solenoid120.150.000000AVerboseFluxInductanceMatrixsolpairferro1,FluxUnitMilliWeber,ContributionTypeFerroSystemname:solpairferro1FluxinductancematrixinMilliWeberPrecisionLevel:1121758.1530588.66342588.6634758.1530Involvedcomponentscomponentstypenbturnscurrent1solenoid120.150.000000A2solenoid120.150.000000A©
VerboseFluxInductanceMatrix\rsolpairferro1,FluxUnitMilliWeber,ContributionTypeTotalSystemname:solpairferro1FluxinductancematrixinMilliWeberPrecisionLevel:11211374.8231732.25812732.25811374.8231Involvedcomponentscomponentstypenbturnscurrent1solenoid120.150.000000A2solenoid120.150.000000AFluxInductanceMatrix\rsolpairferro1,ContributionTypeTotal1.37482106,732258.,732258.,1.37482106,1,2VerboseMagneticEnergyMatrix\rsolpairferro1,MagneticEnergyUnitJouleSystemname:solpairferro1MagneticenergymatrixinJoulePrecisionLevel:112146.250310.7696210.769646.2503Involvedcomponentscomponentstypenbturnscurrent1solenoid120.150.000000A2solenoid120.150.000000AVerboseMagneticEnergyMatrix\rsolpairferro1,ContributionTypeFerro,MagneticEnergyUnitJouleSystemname:solpairferro1MagneticenergymatrixinJoulePrecisionLevel:112156.861544.1498244.149856.8615Involvedcomponentscomponentstypenbturnscurrent1solenoid120.150.000000A2solenoid120.150.000000A©
VerboseMagneticEnergyMatrixsolpairferro1,ContributionTypeTotal,MagneticEnergyUnitJouleSystemname:solpairferro1MagneticenergymatrixinJoulePrecisionLevel:1121103.111754.9194254.9194103.1117Involvedcomponentscomponentstypenbturnscurrent1solenoid120.150.000000A2solenoid120.150.000000AInductanceCouplingsolpairferro1,1,20.232855,0.607515,0.0542214,0.369074,0.945779,0.630926,1.,1.VerboseInductanceCouplingsolpairferro1,1,2Systemname:solpairferro1InductanceCouplingPrecisionLevel:1Numberofcomponents3Numberofcurrentcarryingcomponent2Numberofferromagneticnonrigidcomponents1Numberofcomponentswithreversiblemagnetization1primarycoilsecondarycoilComponentnumber:1.00002.0000Componentcategory:solenoidsolenoidCircuitscurrentA:150.0000150.0000Numberofturns:120.0000120.0000Transfoturnratio1.000aircoredataSelfinductanceH4111.13424111.1342Mutualinduc.1\n 2H957.2979SelffluxWb616670.1280616670.1280Mutualflux1\n 2Wb143594.6810ferrocoredataSelfinductanceH5054.35335054.3533Mutualinduc.1\n 2H3924.4226SelffluxWb758152.9880758152.9880Mutualflux1\n 2Wb588663.3960aircorewithferrocoreCouplingcoefficient0.2328550.607515Efficiencycoefficient0.0542210.369074Leakagecoefficient0.9457790.630926Transformationcoeff.1.00001.0000©
‚ ! A solpairferro2"AXSMagneticSystem#$AXSSolenoid#CopperOFHC,215,265,348,0,120,150,FillingFactor%0.6&,AXSSolenoid#CopperOFHC,162,212,348,0,120,150,FillingFactor%0.6&,AXSSoftMagneticComponent#SiSteel2,0,160,350,0&',SystemLabel%"pairoflongsuperposedsolenoidswithferromagneticcore"&(AXSMagneticSystem:)(solenoid(,(solenoid(,(soft(*(DrawSystem#solpairferro2&Systemname:solpairferro2pairoflongsuperposedsolenoidswithferromagneticcore3DviewZYX+1000100X,mm-+1000100Y,mm-+1000100Z,mm-+1000100X,mm-+1000100Z,mm-.Graphics3D.©
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VerboseInductanceCouplingSsolpairferro2,T1,2UVSystemname:solpairferro2InductanceCouplingPrecisionLevel:1Numberofcomponents3Numberofcurrentcarryingcomponent2NumberofferroWmagneticXnonrigidYcomponents1Numberofcomponentswithreversiblemagnetization1primarycoilsecondarycoilComponentnumber:1.00002.0000Componentcategory:solenoidsolenoidCircuitscurrentXAY:150.0000150.0000Numberofturns:120.0000120.0000Transfoturnratio1.000aircoredataSelfinductanceXZHY1645.82581036.3390Mutualinduc.1W\n[2XZHY1066.0167SelffluxXZWbY246873.8640155450.8510Mutualflux1W\n[2XZWbY159902.5080ferrocoredataSelfinductanceXZHY4616.03975434.8157Mutualinduc.1W\n[2XZHY5008.0506SelffluxXZWbY692405.9610815222.3560Mutualflux1W\n[2XZWbY751207.5940aircorewithferrocoreCouplingcoefficient0.8162460.961992Efficiencycoefficient0.6662580.925429Leakagecoefficient0.3337420.074571Transformationcoeff.1\1.28991.0170©
Á‚ Magnetica1.2.3.4.5.‚ ] 11. 175702. 1 12003. 1000] anten1^AXSMagneticSystem_`AXSCircularLoop_CopperOFHC,2000,25,0,54,2,ConductorDiametera1.67bc,SystemLabeld\ne"2metersdiameter,54turnsantenna"bfAXSMagneticSystem:gfloopfhf©
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ResonantCapacitorrselfant,1000s1.44167‚ t 1. 280 13.7 0.22. 999.33. 1436.1t ?TurnsBrookCoila'saTurnsBrookCoilr15,1000s280.883t milliHAirCoreuAXSMagneticSystemrvAXSSolenoidrCopperOFHC,10,20,5,0,280,0.1,ConductorDiameterw0.2sx,SystemLabely\nz"milliHenrycoil,aircore"s{AXSMagneticSystem:|{solenoid{}{©
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VerboseSelfInductance‡milliHAirCore,1ˆSystemname:milliHAirCoreSelfinductancePrecisionLevel:1Componentn°1Componenttype:cylindricalsolenoidNumberofturns:280.Current:0.100000AProperselfinductance:999.358670‰HFerromagneticcontribution:0.000000‰HTotalselfinductance:999.358670‰HŠ milliHIronCore‹AXSMagneticSystem‡ŒAXSSolenoid‡CopperOFHC,10,20,5,0,280,0.1,ConductorDiameter0.2ˆ,AXSSoftMagneticComponent‡IronInd3,0,9.5,5,0ˆŽ,SystemLabel\n"milliHenrycoil,ironcore"ˆ‘AXSMagneticSystem:’‘solenoid‘,‘soft‘“‘DrawSystem‡milliHIronCoreˆSystemname:milliHIronCoremilliHenrycoil,ironcore3DviewZYX”10”50510X•mm–”10”50510Y•mm–”10”50510Z•mm–10”505X•mm–”10”505Z•mm–—Graphics3D—©
DrawSystem2D˜milliHIronCore™š10š50510Z›mmœš10š50510RmmžSystemname:milliHIronCoremilliHenrycoil,ironcore2DviewZRŸGraphicsŸselfiron SelfInductance˜milliHIronCore,1™999.359VerboseSelfInductance˜milliHIronCore,1™Systemname:milliHIronCoreSelfinductancePrecisionLevel:1Componentn°1Componenttype:cylindricalsolenoidNumberofturns:280.Current:0.100000AProperselfinductance:999.358670¡HFerromagneticcontribution:488.743590¡HTotalselfinductance:1488.102259¡H‚ ¢ ©
1. 11.932. 3.22£ solsuper1¤AXSMagneticSystem¥¦AXSSolenoid¥SuperNbTi4,1240,1320,250,§874.8480174899299,1015,735.221¨,AXSSolenoid¥SuperNbTi4,1240,1280,250,§550.1194910091477,598,735.221¨,AXSSolenoid¥SuperNbTi4,1240,1280,300,§180.05374474797077,635,735.221¨,AXSSolenoid¥SuperNbTi4,1240,1280,300,180.05374474797077,635,735.221¨,AXSSolenoid¥SuperNbTi4,1240,1280,250,550.1194910091477,598,735.221¨,AXSSolenoid¥SuperNbTi4,1240,1320,250,874.8480174899299,1015,735.221¨©,SystemLabel§\nª"unshieldedMRI1.5Tsuperconductingmagnet"¨«AXSMagneticSystem:¬«solenoid«,«solenoid«,«solenoid«,«solenoid«,«solenoid«,«solenoid«­«DrawingDrawSystem¥solsuper1¨Systemname:solsuper1unshieldedMRI1.5Tsuperconductingmagnet3DviewZYX®1000®50005001000X¯mm°®1000®50005001000Y¯mm°®1000®50005001000Z¯mm°1000®5000500X¯mm°1000®5000500Z¯mm°±Graphics3D±©
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VerboseInductanceMatrixÅsolsuper1,InductanceUnitÆMilliHenryÇSystemname:solsuper1InductancematrixÈinMilliHenryÉPrecisionLevel:112345611975.6628448.5503183.729287.454743.105946.19382448.5503691.0506244.349398.049943.343043.10593183.7292244.3493726.8548271.679098.049987.4547487.454798.0499271.6790726.8548244.3493183.7292543.105943.343098.0499244.3493691.0506448.5510646.193843.105987.4547183.7292448.55101975.6628Involvedcomponentscomponentstypenbturnscurrent1solenoid1015.735.221000A2solenoid598.735.221000A3solenoid635.735.221000A4solenoid635.735.221000A5solenoid598.735.221000A6solenoid1015.735.221000A?SystemInductanceÊËa,ÌÍ.,,SystemInductanceÅsolsuper1ÇÎ1.19305Ï107,8.77157Ï109,3.22452Ï106ÐVerboseSystemInductanceÅsolsuper1,InductanceUnitÆHenry,FluxUnitÆWeber,MagneticEnergyUnitÆMegaJouleÇSystemname:solsuper1SystemInductancePrecisionLevel:1Numberofcomponents6Numberofcurrentcarryingcomponent6ProperInductanceÈHÉ11.9305FluxÈWbÉ8771.57EnergyÈMJÉ3.22452 SystemInductance).SystemInductanceÅsolsuper1,MagneticEnergyUnitÆMegaJouleÇÅÅ3ÇÇ3.22452©
‚ aÑ 1. 13.1672. 3.02Ñ iampfÒ677.412;solsuper2ÒAXSMagneticSystemÓÔAXSSolenoidÓSuperNbTi4,1240,1320,250,Õ874.8480174899299,1015,iampfÖ,AXSSolenoidÓSuperNbTi4,1240,1280,250,Õ550.1194910091477,598,iampfÖ,AXSSolenoidÓSuperNbTi4,1240,1280,300,Õ180.05374474797077,635,iampfÖ,AXSSolenoidÓSuperNbTi4,1240,1280,300,180.05374474797077,635,iampfÖ,AXSSolenoidÓSuperNbTi4,1240,1280,250,550.1194910091477,598,iampfÖ,AXSSolenoidÓSuperNbTi4,1240,1320,250,874.8480174899299,1015,iampfÖ,AXSSoftMagneticComponentÓSteelCommon2,1600,2000,2400,0Ö,AXSSoftMagneticComponentÓSteelCommon2,1300,2000,200,Õ1300Ö,AXSSoftMagneticComponentÓSteelCommon2,1300,2000,200,1300Ö×,SystemLabelÕ\nØ"shieldedMRI1.5Tsuperconductingmagnet",MeshingLevelÙ2ÖÚAXSMagneticSystem:ÛÚsolenoidÚ,ÚsolenoidÚ,ÚsolenoidÚ,ÚsolenoidÚ,ÚsolenoidÚ,ÚsolenoidÚ,ÚsoftÚ,ÚsoftÚ,ÚsoftÚÜÚDrawing©
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VerboseInductanceMatrixësolsuper2,InductanceUnitìHenry,ContributionTypeìTotalíSystemname:solsuper2InductancematrixîinHenryïPrecisionLevel:112345612.29340.53420.18390.06280.01960.013420.53320.77240.28140.09370.02910.019630.18360.28140.81310.31210.09370.062840.06280.09370.31210.81310.28140.183650.01960.02910.09370.28140.77240.533260.01340.01960.06280.18390.53422.2934Involvedcomponentscomponentstypenbturnscurrent1solenoid1015.677.412000A2solenoid598.677.412000A3solenoid635.677.412000A4solenoid635.677.412000A5solenoid598.677.412000A6solenoid1015.677.412000ASystemInductanceësolsuper2,ContributionTypeìTotal,InductanceUnitìHenry,FluxUnitìWeber,MagneticEnergyUnitìMegaJouleíð13.1672,8919.6,3.02112ñVerboseSystemInductanceësolsuper2,ContributionTypeìTotal,InductanceUnitìHenry,FluxUnitìWeber,MagneticEnergyUnitìMegaJouleíSystemname:solsuper2SystemInductancePrecisionLevel:1Numberofcomponents9Numberofcurrentcarryingcomponent6Numberofferroòmagneticînonrigidïcomponents3Numberofcomponentswithreversiblemagnetization3ProperFerroTotalInductanceîHï11.93051.2366513.1672FluxîWbï8081.88837.7218919.6EnergyîMJï2.737380.2837413.02112MagneticEnergyMatrixësolsuper2,MagneticEnergyUnitìKiloJoule,ContributionTypeìTotalíëë1ííðð526.211,122.566,42.1906,14.4165,4.50282,3.075ñ,ð122.344,177.227,64.5652,21.5099,6.68061,4.50255ñ,ð42.1343,64.5656,186.556,71.6047,21.51,14.3998ñ,ð14.3998,21.51,71.6047,186.556,64.5656,42.1343ñ,ð4.50255,6.68061,21.5099,64.5652,177.227,122.344ñ,ð3.075,4.50282,14.4165,42.1906,122.566,526.211ññ©
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transfo1Partial=AXSMagneticSystem[{AXSSolenoid[CopperOFHC,215,265,348,0,3380,3,FillingFactor-�0.6],AXSSolenoid[CopperOFHC,162,212,348,0,50,200,FillingFactor-�0.6],AXSSoftMagneticComponent[SiSteel2,0,150,350,0]},�SystemLabel-"monophase transformer (partial iron core)",MeshingLevel-�2]AXSMagneticSystem:solenoid,solenoid,softDrawSystem2DXZ[transfo1Partial];15010050050100150X mm\n15010050050100150Z mm Systemname:transfo1Partialmonophasetransformer partialironcore\n2DviewXZtransfo1Full=AXSMagneticSystem[{AXSSolenoid[CopperOFHC,215,265,348,0,3380,3,FillingFactor-�0.6],AXSSolenoid[CopperOFHC,162,212,348,0,50,200,FillingFactor-�0.6],AXSSoftMagneticComponent[SiSteel2,0,150,350,0],AXSSoftMagneticComponent[SiSteel2,0,267,50,-201],AXSSoftMagneticComponent[SiSteel2,0,267,50,201],AXSSoftMagneticComponent[SiSteel2,267,327,452,0]},�SystemLabel-"monophase transformer (full iron core)",MeshingLevel-�2]AXSMagneticSystem:solenoid,solenoid,soft,soft,soft,soft©
DrawSystem2DXZ[transfo1Full];\r200\r1000100200Xmm\r200\r1000100200ZmmSystemname:transfo1Fullmonophasetransformerfullironcore2DviewXZ InductanceMatrixtransfo1Partial,InductanceUnitMilliHenry,ContributionTypeProper1MatrixForm1305.7312.510912.51090.17992InductanceMatrixtransfo1Partial,InductanceUnitMilliHenry,ContributionTypeFerro1MatrixForm3405.354.61254.64260.874463 that,InductanceMatrixtransfo1Partial,InductanceUnitMilliHenry,ContributionTypeTotal1MatrixForm4711.0367.122967.15351.05438©
InductanceMatrixtransfo1Full,InductanceUnitMilliHenry,ContributionTypeFerro1MatrixForm33444.580.332579.88527.41124overwhelming.InductanceMatrixtransfo1Full,InductanceUnitMilliHenry,ContributionTypeTotal1MatrixForm34750.292.843492.39617.59116 ?InductanceCoupling!,",#,$.",#.,.InductanceCouplingtransfo1Partial,%1,2&''0.816246,0.95973(,'0.666258,0.921082(,'0.333742,0.0789184(,'0.0114523,0.014956((?VerboseInductanceCoupling!,",#,$.©
VerboseInductanceCoupling)transfo1Partial,*1,2+,InductanceUnit,MilliHenry,FluxUnit,MilliWeber-Systemname:transfo1PartialInductanceCouplingPrecisionLevel:1Numberofcomponents3Numberofcurrentcarryingcomponent2Numberofferro.magnetic/nonrigid0components1Numberofcomponentswithreversiblemagnetization1primarycoilsecondarycoilComponentnumber:1.00002.0000Componentcategory:solenoidsolenoidCircuitscurrent/A0:3.0000200.0000Numberofturns:3380.000050.0000Transfoturnratio1167.600aircoredataSelfinductance/mH01305.73420.1799Mutualinduc.1.22/mH012.5109Selfflux/mWb03917.202535.9840Mutualflux1.22/mWb037.5327ferrocoredataSelfinductance/mH03405.29520.8745Mutualinduc.1.22/mH054.6120Selfflux/mWb010215.8857174.8925Mutualflux1.22/mWb0163.8360aircorewithferrocoreCouplingcoefficient0.8162460.959730Efficiencycoefficient0.6662580.921082Leakagecoefficient0.3337420.078918Transformationcoeff.1187.31871166.8626?TransformerAnalysis3,4,5,4,5,,6a78..Options)TransformerAnalysis-9PrecisionLevel:1,InputFrequency:50,FullDetails:False;©
VerboseTransformerAnalysistransfo1Partial,=1,15000�,=2,220�,200?Systemname:transfo1PartialAnalys[email protected][email protected]@[email protected]@[email protected]@[email protected],[email protected]@[email protected]@[email protected]@[email protected]@WA44868.1Relativetransformerlosses%11.2319Transformerpowerefficiency%88.7681InductanceCouplingtransfo1Full,=1,2�?CC0.816246,0.970558D,C0.666258,0.941982D,C0.333742,0.058018D,C0.0114523,0.01464DDVerboseInductanceCouplingtransfo1Full,=1,2�?Systemname:transfo1FullInductanceCouplingPrecisionLevel:1Numberofcom[email protected]nonrigidAcomponents4Numberofcomponentswithreversiblemagnetization4primarycoilsecondarycoilComponentnumber:1.00002.0000Componentcategory:[email protected]:3.0000200.0000Numberofturns:33[email protected]GHA1.3057e6179.9200Mutualinduc.1E[email protected][email protected][email protected]@GHA3.3444e77411.2400Mutualinduc.1E[email protected]@GWbA1.0033e81.4822e6Mutualflux1E[email protected]60.970558Efficiencycoefficient0.6662580.941982Leakagecoefficient0.3337420.058018Transformationcoeff.1F87.31871F68.3061©
VerboseTransformerAnalysisItransfo1Full,J1,15000K,J2,220K,200LSystemname:transfo1FullAnalysisofamonophaseTransformerTransformerperformanceNetworkfrequencyMHzN50PrimaryvoltageMinputNMVN15000EffectivesecondaryvoltageMVN219.6MActiveNsecondaryloadMAN200TotalprimarypowerMinputNMWN44801.5Phaseangle,OMdegreeN24.7037PowerfactorcosO0.908481BinductionMeffectiveaverageNMGN12944.1MagneticlossespowerMWN338.95JouleslossestotalMWN542.645TotaltransformerlossesMWN881.594SecondaryloadpowerMoutputNMWN43919.9Relativetransformerlosses%1.96778Transformerpowerefficiency%98.0322TransformerMagneticLossesItransfo1FullLP338.95,13348.QVerboseTransformerAnalysisItransfo1Full,J1,15000K,J2,220K,10LSystemname:transfo1FullAnalysisofamonophaseTransformerTransformerperformanceNetworkfrequencyMHzN50PrimaryvoltageMinputNMVN15000EffectivesecondaryvoltageMVN219.6MActiveNsecondaryloadMAN10TotalprimarypowerMinputNMWN2631.14Phaseangle,OMdegreeN82.7247PowerfactorcosO0.126636BinductionMeffectiveaverageNMGN12944.1MagneticlossespowerMWN338.95JouleslossestotalMWN96.1959TotaltransformerlossesMWN435.145SecondaryloadpowerMoutputNMWN2196.Relativetransformerlosses%16.5383Transformerpowerefficiency%83.4617©
VerboseTransformerAnalysisRtransfo1Full,S1,15000T,S2,220T,200,InputFrequencyU60VSystemname:transfo1FullAnalysisofamonophaseTransformerTransformerperformanceNetworkfrequencyWHzX60PrimaryvoltageWinputXWVX15000EffectivesecondaryvoltageWVX219.6WActiveXsecondaryloadWAX200TotalprimarypowerWinputXWWX44842.2Phaseangle,YWdegreeX20.9572PowerfactorcosY0.933848BinductionWeffectiveaverageXWGX12944.1MagneticlossespowerWWX408.163JouleslossestotalWWX514.128TotaltransformerlossesWWX922.291SecondaryloadpowerWoutputXWWX43919.9Relativetransformerlosses%2.05675Transformerpowerefficiency%97.9433A©
VerboseTransformerAnalysisZtransfo1Full,[1,15000\,[2,220\,200,FullDetails]True^Systemname:transfo1FullAnalysisofamonophaseTransformerSystemgeneraldataPrecisionLevel:1Numberofcomponents6Numberofcurrentcarryingcomponent2Numberofferro_magnetic`nonrigidacomponents4Numberofcomponentswithreversiblemagnetization4TransformerperformanceNetworkfrequency`Hza50Primaryvoltage`inputa`Va15000Effectivesecondaryvoltage`Va219.6`Activeasecondaryload`Aa200Totalprimarypower`inputa`Wa44801.5Phaseangle,b`degreea24.7037Powerfactorcosb0.908481Binduction`effectiveaveragea`Ga12944.1Magneticlossespower`Wa338.95Jouleslossestotal`Wa542.645Totaltransformerlosses`Wa881.594Secondaryloadpower`outputa`Wa43919.9Relativetransformerlosses%1.96778Transformerpowerefficiency%98.0322TransformerTechnicalDataPrimarycoilSecondarycoilComponentNumber1.0002.000ComponentcategorysolenoidsolenoidNumberofturns3380.00050.000Componentmass`Kga35.10727.354Softferromagneticmass`Kga186.937Resistance`ca28.4490.005Impedance`ca10917.1052.385Nominaltransforatio1d67.600Effectivetransforatio1d68.306Nominalvoltage`Va15000.000220.000Nominalcurrent`Aa3.000200.000Effectivevoltage`Va15000.000219.600Binductionfromflux`Ga12944.057Binductioncellaverage`Ga13348.002Activecurrent`Aa2.987200.000Reactivecurrent`Aa1.37492.082Effectivecurrent`Aa3.288220.180Phaseangle`degreea24.70424.722Powerfactor0.9080.908Activepower`Wa44801.51243919.918Reactivepower`Wa20609.86020221.112KVApower`Wa49314.72248351.345Joulelosspower`Wa307.491235.154Totaljouleloss`Wa542.645Magneticlosspower`Wa338.950Totalloss`Wa881.594©
transfo2Full=AXSMagneticSystem[{AXSSolenoid[CopperOFHC,215,265,348,0,3380,3.28,FillingFactor-�0.6],AXSSolenoid[CopperOFHC,162,212,348,0,50,220,FillingFactor-�0.6],AXSSoftMagneticComponent[SiSteel2,0,150,350,0],AXSSoftMagneticComponent[SiSteel2,0,267,50,-201],AXSSoftMagneticComponent[SiSteel2,0,267,50,201],AXSSoftMagneticComponent[SiSteel2,267,327,452,0]},�SystemLabel-"monophase transformer (full iron core)",MeshingLevel-�2]eAXSMagneticSystem:fesolenoide,esolenoide,esofte,esofte,esofte,esoftege©
VerboseTransformerAnalysishtransfo2Full,i1,15000j,i2,220j,200,FullDetailskTruelSystemname:transfo2FullAnalysisofamonophaseTransformerSystemgeneraldataPrecisionLevel:1Numberofcomponents6Numberofcurrentcarryingcomponent2Numberofferrommagneticnnonrigidocomponents4Numberofcomponentswithreversiblemagnetization4TransformerperformanceNetworkfrequencynHzo50PrimaryvoltageninputonVo15000EffectivesecondaryvoltagenVo219.315nActiveosecondaryloadnAo200TotalprimarypowerninputonWo44769.6Phaseangle,pndegreeo26.09Powerfactorcosp0.898105BinductionneffectiveaverageonGo13151.MagneticlossespowernWo351.39JouleslossestotalnWo555.141TotaltransformerlossesnWo906.531SecondaryloadpowernoutputonWo43863.1Relativetransformerlosses%2.02488Transformerpowerefficiency%97.9751TransformerTechnicalDataPrimarycoilSecondarycoilComponentNumber1.0002.000ComponentcategorysolenoidsolenoidNumberofturns3380.00050.000ComponentmassnKgo35.10727.354SoftferromagneticmassnKgo186.937Resistancenqo28.4490.005Impedancenqo10263.3442.230Nominaltransforatio1r67.600Effectivetransforatio1r68.395NominalvoltagenVo15000.000220.000NominalcurrentnAo3.280220.000EffectivevoltagenVo15000.000219.315BinductionfromfluxnGo13151.048BinductioncellaveragenGo13566.665ActivecurrentnAo2.985200.000ReactivecurrentnAo1.46298.358EffectivecurrentnAo3.323222.877Phaseanglendegreeo26.09026.188Powerfactor0.8980.897ActivepowernWo44769.61043863.079ReactivepowernWo21922.67921571.503KVApowernWo49848.99148880.461JoulelosspowernWo314.189240.952TotaljoulelossnWo555.141MagneticlosspowernWo351.390TotallossnWo906.531©
transfo3Full=AXSMagneticSystem[{AXSSolenoid[CopperOFHC,215,265,348,0,3380,3.323,FillingFactor-�0.6],AXSSolenoid[CopperOFHC,162,212,348,0,50,222.9,FillingFactor-�0.6],AXSSoftMagneticComponent[SiSteel2,0,150,350,0],AXSSoftMagneticComponent[SiSteel2,0,267,50,-201],AXSSoftMagneticComponent[SiSteel2,0,267,50,201],AXSSoftMagneticComponent[SiSteel2,267,327,452,0]},�SystemLabel-"monophase transformer (full iron core)",MeshingLevel-�2]sAXSMagneticSystem:tssolenoids,ssolenoids,ssofts,ssofts,ssofts,ssoftsus©
VerboseTransformerAnalysisvtransfo3Full,w1,15000x,w2,220x,200,FullDetailsyTruezSystemname:transfo3FullAnalysisofamonophaseTransformerSystemgeneraldataPrecisionLevel:1Numberofcomponents6Numberofcurrentcarryingcomponent2Numberofferro{magnetic|nonrigid}components4Numberofcomponentswithreversiblemagnetization4TransformerperformanceNetworkfrequency|Hz}50Primaryvoltage|input}|V}15000Effectivesecondaryvoltage|V}219.272|Active}secondaryload|A}200Totalprimarypower|input}|W}44764.5Phaseangle,~|degree}26.3Powerfactorcos~0.896487Binduction|effectiveaverage}|G}13179.1Magneticlossespower|W}353.089Jouleslossestotal|W}557.075Totaltransformerlosses|W}910.164Secondaryloadpower|output}|W}43854.4Relativetransformerlosses%2.03323Transformerpowerefficiency%97.9668TransformerTechnicalDataPrimarycoilSecondarycoilComponentNumber1.0002.000ComponentcategorysolenoidsolenoidNumberofturns3380.00050.000Componentmass|Kg}35.10727.354Softferromagneticmass|Kg}186.937Resistance|}28.4490.005Impedance|}10169.9672.209Nominaltransforatio1€67.600Effectivetransforatio1€68.408Nominalvoltage|V}15000.000220.000Nominalcurrent|A}3.323222.900Effectivevoltage|V}15000.000219.272Binductionfromflux|G}13179.135Binductioncellaverage|G}13596.327Activecurrent|A}2.984200.000Reactivecurrent|A}1.47599.266Effectivecurrent|A}3.329223.280Phaseangle|degree}26.30026.397Powerfactor0.8960.896Activepower|W}44764.54043854.375Reactivepower|W}22123.96621766.257KVApower|W}49933.29448958.923Joulelosspower|W}315.253241.822Totaljouleloss|W}557.075Magneticlosspower|W}353.089Totalloss|W}910.164©
1. 12944, 13151 131792. 97.97©
Appendices©
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CasesKeywords›œThematickeywordsBasicHardMagneticLearningandTrainingsupportedthroughhardmagneticcomponentBasicInductanceAirLearningandTrainingrelatedtoinductancecalculationBasicInductanceIronLearningandTrainingrelatedtoinductancecalculationBasicLoopLearningandTrainingsupportedthroughcircularloopBasicSoftMagneticLearningandTrainingsupportedthroughsoftmagneticcomponentBasicSolenoidLearningandTrainingsupportedthroughcircularsolenoidActiveShieldingAnalysisandDesignofactiveshieldingElectricalMagnetAnalysisandDesignofelectricalmagnetEMCAutoShieldingAnalysisandDesignofEMCautoshieldingFerromagneticShieldingAnalysisandDesignofferromagneticshieldingInductanceCoilAnalysisandDesignofinductancecoilMagneticEnergyAnalysisandDesignofmagneticenergyinmagnetMRIMagnetAnalysisandDesignofMRImagnetPermanentMagnetAnalysisandDesignofpermanentmagnetSensorCoilAnalysisandDesignofsensorcoilTransformerAnalysisandDesignoftransformerMaterialrelatedkeywordsResistorelectricalresistivematerialSuperconductorsuperconductingmaterialDiamagneticdiamagneticmaterialParamagneticparamagneticmaterialHardFerrohardFerromagneticsmaterialSoftFerrosoftFerromagneticsmaterialVacuumspacevacuumpropopertiessupposetheexistenceofLargeSources Magnetica Magnetica that, Magnetica Magneticaž Magnetica©
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· MagneticaMagnetica MagneticaMaterialsCasesMaterials¸¹MaterialsMaterialcategoriesNumberofcasesinvolvedAlnico1ºHardFerro»1AlumElecºResistor,Paramagnetic»3Composit1ºResistor,Paramagnetic»2CopperFHardºResistor,Diamagnetic»1CopperOFHCºResistor,Diamagnetic»79Ferrit1ºHardFerro»6Ferrit2ºHardFerro»8GoldºResistor,Diamagnetic»2HighPerm1ºHardFerro»1IronInd2ºHardFerro»3IronInd3ºHardFerro»18MuMetal1ºHardFerro»2NIBcomp2ºHardFerro»4NIBcomp3ºHardFerro»2NIBcomp4ºHardFerro»4NIBcomp7ºHardFerro»1SiSteel2ºHardFerro»9SiSteel3ºHardFerro»7SteelCommon1ºHardFerro»4SteelCommon2ºHardFerro»1SuperNbTi4ºSuperconductor,Diamagnetic»24SuperNbTi5ºSuperconductor,Diamagnetic»5SuperNbTi8ºSuperconductor,Diamagnetic»1VacuumºVacuum»16‚ · Magnetica----©
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Ê BÊ MÊ PermeabilityÊ SusceptibilityÊ ReluctivityÊ MprincipalÊ MtransversalÊ BprincipalÊ Btransversal‚B1-2 ConductorsË Conductors 28Ê 14 Gold, Ê 13 Ê 1 CopperOFHC©
PropertiesÌCopperOFHCÍMaterialpropertiesmaterialnameCopperOFHCmaterialcategoryResistivecurrentcarryingdesignationhighconductivityOFHCCopperGeneralPhysicalPropertiesspecificweightÎgÏcm3Ð8.920000dilationcoefficientÎrelativelinearchangeÐ0.000016resistivityÎOhmxcmÐ1.724000eÑ6Coefficienttemperatureresistivity0.003930MagneticPhysicalPropertiesrelativevolumemagneticÎlinearÐsusceptibilityÑ6.100000eÑ7temperaturecoefficientsusceptibility0.000010PropertiesÌCopperOFHC,TemperatureÒ45ÍMaterialpropertiesmaterialnameCopperOFHCmaterialcategoryResistivecurrentcarryingdesignationhighconductivityOFHCCopperGeneralPhysicalPropertiesspecificweightÎgÏcm3Ð8.920000dilationcoefficientÎrelativelinearchangeÐ0.000016resistivityÎOhmxcmÐ1.724000eÑ6Coefficienttemperatureresistivity0.003930MagneticPhysicalPropertiesrelativevolumemagneticÎlinearÐsusceptibilityÑ6.100000eÑ7temperaturecoefficientsusceptibility0.000010Propertiesatthetemperature45°CelsiuslineardilationÎvariation%Ð0.040500electricalresistivityÎvariation%Ð9.825000relativesusceptibilityÎvariation%Ð0.025000effectivelineardilationcoefficient1.000405effectiveelectricalresistivityÎohmÑcmÐ1.893383eÑ6effectivevolumemagneticsusceptibilityÑ6.101525eÑ7Ó Conductors Ô 0 10 1©
MaterialMagnetizationTableÕCopperOFHC,FieldUnitÖTesla,NumberOfPointsÖ11,MagnetizingFieldRangeÖ×0,10ØÙMagnetizationTableCopperOFHCtemperature20°CelsiushighconductivityOFHCCopperRangeforthemagnetizingfield:0.10.+T/Hm+T/M+T/B+T/F0.0000000.0000000.0000006.100000e71.0000006.100000e70.9999996.100000e72.0000001.220000e61.9999996.100000e73.0000001.830000e62.9999986.100000e74.0000002.440000e63.9999986.100000e75.0000003.050000e64.9999976.100000e76.0000003.660000e65.9999966.100000e77.0000004.270000e66.9999966.100000e78.0000004.880000e67.9999956.100000e79.0000005.490000e68.9999956.100000e710.0000006.100000e69.9999946.100000e7Ú MaterialMagnetizationCurvesÕCopperOFHC,×B,M,SusceptibilityØ,FieldUnitÖTesla,MagnetizingFieldRangeÖ×0,10ØÙ0246810HmMagnetizingFieldÛTÜ0246810BÝTÞMaterialMagnetizationCurveCopperOFHCtemperature20°celsiushighconductivityOFHCCopperBInductionfÛHmÜTypeofplot:LinearßLinear©
0246810HmMagnetizingFieldàTáâ6ã10ä6â5ã10ä6â4ã10ä6â3ã10ä6â2ã10ä6â1ã10ä60MåTæMaterialMagnetizationCurveCopperOFHCtemperature20°celsiushighconductivityOFHCCopperMMagnetizationfàHmáTypeofplot:LinearçLinear0246810HmMagnetizingFieldàTáâ1.2ã10ä6â1ã10ä6â8ã10ä7â6ã10ä7â4ã10ä7â2ã10ä70èMaterialMagnetizationCurveCopperOFHCtemperature20°celsiushighconductivityOFHCCopperéSusceptibilityfàHmáTypeofplot:LinearçLinear‚B1-3 ê ë 8ë 2 composites SuperNbTi5.©
PropertiesìSuperNbTi5íMaterialpropertiesmaterialnameSuperNbTi5materialcategorySuperconductorcurrentcarryingdesignationNbîTIsuperconductorwireïA36ðGeneralPhysicalPropertiesspecificweightïgñcm3ð8.350000dilationcoefficientïrelativelinearchangeð0.000000resistivityïOhmxcmð0.000000Coefficienttemperatureresistivity0.000000MagneticPhysicalPropertiesrelativevolumemagneticïlinearðsusceptibilityî0.015600temperaturecoefficientsusceptibility0.000100nominaldiameterïmmð1.500000ratioCopperñsuperconductor6.400000criticalintensityïAmpð1180.000000magneticfieldforIcriticalïTeslað4.000000ò ó SuperNbTi5MaterialMagnetizationTableìSuperNbTi5,FieldUnitôTesla,MagnetizingFieldRangeôõ0,10ö,NumberOfPointsô11íMagnetizationTableSuperNbTi5temperature20°CelsiusNbTIsuperconductorwire+A36/Rangeforthemagnetizingfield:0.10.+T/Hm+T/M+T/B+T/F0.0000000.0000000.0000000.0156001.0000000.0156000.9844000.0156002.0000000.0312001.9688000.0156003.0000000.0468002.9532000.0156004.0000000.0624003.9376000.0156005.0000000.0780004.9220000.0156006.0000000.0936005.9064000.0156007.0000000.1092006.8908000.0156008.0000000.1248007.8752000.0156009.0000000.1404008.8596000.01560010.0000000.1560009.8440000.015600©
SuperNbTi5, B M Susceptibility÷MaterialMagnetizationCurvesøSuperNbTi5,ùB,M,Susceptibilityú,FieldUnitûTesla,MagnetizingFieldRangeûù0,10úü0246810HmMagnetizingFieldýTþ0246810BÿTMaterialMagnetizationCurveSuperNbTi5temperature20°celsiusNbTIsuperconductorwireýA36þBInductionfýHmþTypeofplot:LinearLinear0246810HmMagnetizingFieldýTþ0.150.1250.10.0750.050.0250MÿTMaterialMagnetizationCurveSuperNbTi5temperature20°celsiusNbTIsuperconductorwireýA36þMMagnetizationfýHmþTypeofplot:LinearLinear0246810HmMagnetizingFieldýTþ0.030.0250.020.0150.010.0050MaterialMagnetizationCurveSuperNbTi5temperature20°celsiusNbTIsuperconductorwireýA36þSusceptibilityfýHmþTypeofplot:LinearLinear©
‚B1-4 a PropertiesCobaltLinMaterialpropertiesmaterialnameCobaltLinmaterialcategoryFerromagneticreversiblelinearisotropicdesignationCobaltmetalannealed linearmagnetization\nGeneralPhysicalPropertiesspecificweight g cm3\n8.860000dilationcoefficient relativelinearchange\n0.000013resistivity Ohmxcm\n6.630000e 6Coefficienttemperatureresistivity0.005200MagneticPhysicalPropertiesrelativevolumemagnetic linear\nsusceptibility40.000000temperaturecoefficientsusceptibility 0.000300saturationmagnetization G\n17800.000000coercivefield continuousreversibilitylimit,G\n0.700000©
Properties\rCobaltLin,Temperature0MaterialpropertiesmaterialnameCobaltLinmaterialcategoryFerromagneticreversiblelinearisotropicdesignationCobaltmetalannealedlinearmagnetizationGeneralPhysicalPropertiesspecificweightgcm38.860000dilationcoefficientrelativelinearchange0.000013resistivityOhmxcm6.630000e6Coefficienttemperatureresistivity0.005200MagneticPhysicalPropertiesrelativevolumemagneticlinearsusceptibility40.000000temperaturecoefficientsusceptibility0.000300saturationmagnetizationG17800.000000coercivefieldcontinuousreversibilitylimit,G0.700000Propertiesatthetemperature0°Celsiuslineardilationvariation%0.026000electricalresistivityvariation%10.400000relativesusceptibilityvariation%0.600000effectivelineardilationcoefficient0.999740effectiveelectricalresistivityohmcm5.940480e6effectivevolumemagneticsusceptibility40.240000 1 metal: CobaltLin. 445©
MaterialMagnetizationTableCobaltLinMagnetizationTableCobaltLintemperature20°CelsiusCobaltmetalannealed+linearmagnetization/Rangeforthemagnetizingfield:0.890.+G/Hm+G/M+G/B+G/F0.0000000.0000000.00000040.00000041.00000046.8421051873.6842111920.52631640.00000041.00000093.6842113747.3684213841.05263240.00000041.000000140.5263165621.0526325761.57894740.00000041.000000187.3684217494.7368427682.10526340.00000041.000000234.2105269368.4210539602.63157940.00000041.000000281.05263211242.10526311523.15789540.00000041.000000327.89473713115.78947413443.68421140.00000041.000000374.73684214989.47368415364.21052640.00000041.000000421.57894716863.15789517284.73684240.00000041.000000468.42105317800.00000018268.42105338.00000039.000000515.26315817800.00000018315.26315834.54545535.545455562.10526317800.00000018362.10526331.66666732.666667608.94736817800.00000018408.94736829.23076930.230769655.78947417800.00000018455.78947427.14285728.142857702.63157917800.00000018502.63157925.33333326.333333749.47368417800.00000018549.47368423.75000024.750000796.31578917800.00000018596.31578922.35294123.352941843.15789517800.00000018643.15789521.11111122.111111890.00000017800.00000018690.00000020.00000021.000000MaterialMagnetizationCurvesCobaltLin,B,M,Susceptibility 0200400600800HmMagnetizingField!G"025005000750010000125001500017500B#G$MaterialMagnetizationCurveCobaltLintemperature20°celsiusCobaltmetalannealed!linearmagnetization"BInductionf!Hm"Typeofplot:Linear%Linear©
0200400600800HmMagnetizingField&G'025005000750010000125001500017500M(G)MaterialMagnetizationCurveCobaltLintemperature20°celsiusCobaltmetalannealed&linearmagnetization'MMagnetizationf&Hm'Typeofplot:Linear*Linear0200400600800HmMagnetizingField&G'2025303540+MaterialMagnetizationCurveCobaltLintemperature20°celsiusCobaltmetalannealed&linearmagnetization',Susceptibilityf&Hm'Typeofplot:Linear*Linear- up 5 shows low (using 2MaterialMagnetizationCurves.CobaltLin,/B,M,Permeability0,PlotScale1LogLinearMap,FieldUnit1Tesla,MagnetizingFieldRange1/0,5020.000010.0010.1HmMagnetizingField&T'0123456B(T)MaterialMagnetizationCurveCobaltLintemperature20°celsiusCobaltmetalannealed&linearmagnetization'BInductionf&Hm'Typeofplot:Log*Linear©
0.000010.0010.1HmMagnetizingField3T400.250.50.7511.251.51.75M5T6MaterialMagnetizationCurveCobaltLintemperature20°celsiusCobaltmetalannealed3linearmagnetization4MMagnetizationf3Hm4Typeofplot:Log7Linear0.000010.0010.1HmMagnetizingField3T4102030408MaterialMagnetizationCurveCobaltLintemperature20°celsiusCobaltmetalannealed3linearmagnetization49Permeabilityf3Hm4Typeofplot:Log7Linear‚B1-5 a : ; 2; 3; 3 2 Cr ©
SiSteel2. Properties=SiSteel2�MaterialpropertiesmaterialnameSiSteel2materialcategoryFerromagneticreversiblenonlineardesignationSiliconsteelsheet,grainsNO,[email protected]tioncoefficient?relativelinearchangeA0.000012resistivity?OhmxcmA0.000010Coefficienttemperatureresistivity0.001000MagneticPhysicalPropertiesrelativevolumemagnetic?linearAsusceptibility5683.886515temperaturecoefficientsusceptibilityB0.000300saturationmagnetization?GA20700.000000coercivefield?continuousreversibilitylimit,GA0.100000temperaturecoefficientsaturationmagB0.000300Specificationsofthemaximumofpermeabilitypeakmagnetizingfield?GA1.253865peakmagnetization?GA7918.693612peaksusceptibility?relativetovacuumA6315.429461coefficientoflinearizationforsusceptibility0.900000©
PropertiesCSiSteel2,TemperatureD35EMaterialpropertiesmaterialnameSiSteel2materialcategoryFerromagneticreversiblenonlineardesignationSiliconsteelsheet,grainsNO,middleGeneralPhysicalPropertiesspecificweightFgGcm3H7.650000dilationcoefficientFrelativelinearchangeH0.000012resistivityFOhmxcmH0.000010Coefficienttemperatureresistivity0.001000MagneticPhysicalPropertiesrelativevolumemagneticFlinearHsusceptibility5683.886515temperaturecoefficientsusceptibilityI0.000300saturationmagnetizationFGH20700.000000coercivefieldFcontinuousreversibilitylimit,GH0.100000temperaturecoefficientsaturationmagI0.000300SpecificationsofthemaximumofpermeabilitypeakmagnetizingfieldFGH1.253865peakmagnetizationFGH7918.693612peaksusceptibilityFrelativetovacuumH6315.429461coefficientoflinearizationforsusceptibility0.900000Propertiesatthetemperature35°CelsiuslineardilationFvariation%H0.018000electricalresistivityFvariation%H1.500000relativesusceptibilityFvariation%HI0.450000effectivelineardilationcoefficient1.000180effectiveelectricalresistivityFohmIcmH0.000010saturationfieldFvariation%H1880.796942effectivevolumemagneticsusceptibility5658.309025effectivesaturationfieldFGH20606.850000J curves.K SiSteel2.©
MaterialMagnetizationTableLSiSteel2MMagnetizationTableSiSteel2temperature20°CelsiusSiliconsteelsheet,grainsNO,middleSicontent+S2/Rangeforthemagnetizingfield:0.7.28375+G/Hm+G/M+G/B+G/F0.0000000.0000000.0000001663.6755691664.6755690.383355920.313595920.6969502400.6812212401.6812210.7667103922.6142123923.3809235116.1616725117.1616721.1500667215.4412737216.5913396273.9391126274.9391121.5334219347.1453109348.6787316095.6168506096.6168501.91677610506.92872710508.8455035481.5633795482.5633792.30013111320.76922711323.0693584921.7930094922.7930092.68348611900.75254511903.4360314434.8102534435.8102533.06684112298.83733512301.9041764010.2618294011.2618293.45019712597.72468012601.1748773651.3062563652.3062563.83355212841.86502912845.6985813349.8607873350.8607874.21690713044.47531613048.6922233093.3751203094.3751204.60026213215.08510213219.6853642872.6808292873.6808294.98361713360.70925613365.6928732680.9259542681.9259545.36697313486.60246913491.9694412512.8882682513.8882685.75032813596.75948913602.5098172364.5190342365.5190346.13368313694.25549413700.3891772232.6317762233.6317766.51703813781.48300913788.0000472114.6850292115.6850296.90039313860.32016413867.2205582008.6275502009.6275507.28374913932.25233713939.5360861912.7860191913.786019NMaterialMagnetizationCurvesLSiSteel2,OB,M,PermeabilityPM01234567HmMagnetizingFieldQGR02000400060008000100001200014000BSGTMaterialMagnetizationCurveSiSteel2temperature20°celsiusSiliconsteelsheet,grainsNO,middleSicontentQS2BInductionfQHmRTypeofplot:LinearULinear©
01234567HmMagnetizingFieldVGW02000400060008000100001200014000MXGYMaterialMagnetizationCurveSiSteel2temperature20°celsiusSiliconsteelsheet,grainsNO,middleSicontentVS2MMagnetizationfVHmWTypeofplot:LinearZLinear01234567HmMagnetizingFieldVGW20003000400050006000[MaterialMagnetizationCurveSiSteel2temperature20°celsiusSiliconsteelsheet,grainsNO,middleSicontentVS2PermeabilityfVHmWTypeofplot:LinearZLinear\MaterialMagnetizationCurves]SiSteel2,^B,M,Permeability_,CurveType`Comparisona01234567HmMagnetizingFieldVGW05000100001500020000BXGYMaterialMagnetizationCurveSiSteel2temperature20°celsiusSiliconsteelsheet,grainsNO,middleSicontentVS2InductionfVHmWTypeofplot:LinearZLinear©
01234567HmMagnetizingFieldbGc05000100001500020000MdGeMaterialMagnetizationCurveSiSteel2temperature20°celsiusSiliconsteelsheet,grainsNO,middleSicontentbS2MagnetizationfbHmcTypeofplot:LinearfLinear01234567HmMagnetizingFieldbGc20003000400050006000gMaterialMagnetizationCurveSiSteel2temperature20°celsiusSiliconsteelsheet,grainsNO,middleSicontentbS2PermeabilityfbHmcTypeofplot:LinearfLinear‚B1-6 h i 6i 8 Boron compositesi 1 alloy. Ferrit2.©
PropertiesjFerrit2kMaterialpropertiesmaterialnameFerrit2materialcategoryPermanentmagnetdesignationFerriteO2l42m32nGeneralPhysicalPropertiesspecificweightlgmcm3n4.900000dilationcoefficientlrelativelinearchangen0.000013resistivitylOhmxcmn0.000250Coefficienttemperatureresistivity0.001000MagneticPhysicalPropertiesintrinsicremanentmagneticfieldlGn4200.000000intrinsiccoercivefieldlGno3200.000000principaldynamicrelativesusceptibility0.100000secondaryrelativesusceptibility0.200000temperaturecoefficientsusceptibility0.000000temperaturecoefficientremanentfieldo0.002000temperaturecoefficientcoercivefield0.004000p Ferrit2.©
MaterialMagnetizationTableqFerrit2rMagnetizationTableFerrit2temperature20°CelsiusFerriteO2+42s32/Rangeforthemagnetizingfield:4800.4800.+G/Hm+G/Mprincipal+G/Bprincipal+G/Mtransversal+G/B4800.0000004680.0000009480.000000960.0000004294.7368424629.4736848924.210526858.9473683789.4736844578.9473688368.421053757.8947373284.2105262925.7142866209.924812656.8421052778.9473683922.1052631143.157895555.7894742273.6842113972.6315791698.947368454.7368421768.4210534023.1578952254.736842353.6842111263.1578954073.6842112810.526316252.631579757.8947374124.2105263366.315789151.578947252.6315794174.7368423922.10526350.526316252.6315794225.2631584477.89473750.526316757.8947374275.7894745033.684211151.5789471263.1578954326.3157895589.473684252.6315791768.4210534376.8421056145.263158353.6842112273.6842114427.3684216701.052632454.7368422778.9473684477.8947377256.842105555.7894743284.2105264528.4210537812.631579656.8421053789.4736844578.9473688368.421053757.8947374294.7368424629.4736848924.210526858.9473684800.0000004680.0000009480.000000960.000000MaterialMagnetizationCurvesqFerrit2,Allrs4000s2000020004000HmMagnetizingFieldtGus4000s2000020004000MlapicnirpvGwMaterialMagnetizationCurveFerrit2temperature20°celsiusFerriteO2t42x32uMMagnetizationPrincipalftHmu©
y4000y2000020004000HmMagnetizingFieldzG{y7500y5000y25000250050007500Blapicnirp|G}MaterialMagnetizationCurveFerrit2temperature20°celsiusFerriteO2z42~32{BInductionPrincipalfzHm{y4000y2000020004000HmMagnetizingFieldzG{y1000y50005001000Mlasrevsnart|G}MaterialMagnetizationCurveFerrit2temperature20°celsiusFerriteO2z42~32{MMagnetizationTransversalfzHm{y4000y2000020004000HmMagnetizingFieldzG{y6000y4000y20000200040006000Blasrevsnart|G}MaterialMagnetizationCurveFerrit2temperature20°celsiusFerriteO2z42~32{BInductionTransversalfzHm{MaterialMagnetizationCurvesFerrit2,All,MagnetizingFieldRange€HysteresisCycle©
‚3000‚2000‚10000100020003000HmMagnetizingFieldƒMagnetizingUnit„‚4000‚2000020004000Mlapicnirp…G†HysteresisCycleFerrit2temperature20°celsiusFerriteO2ƒ42‡32„MMagnetizationPrincipalfƒHm„‚3000‚2000‚10000100020003000HmMagnetizingFieldƒMagnetizingUnit„‚7500‚5000‚25000250050007500Blapicnirp…G†HysteresisCycleFerrit2temperature20°celsiusFerriteO2ƒ42‡32„BInductionPrincipalfƒHm„‚3000‚2000‚10000100020003000HmMagnetizingFieldƒMagnetizingUnit„‚600‚400‚2000200400600Mlasrevsnart…G†HysteresisCycleFerrit2temperature20°celsiusFerriteO2ƒ42‡32„MMagnetizationTransversalfƒHm„©
ˆ3000ˆ2000ˆ10000100020003000HmMagnetizingField‰MagnetizingUnitŠˆ4000ˆ2000020004000Blasrevsnart‹GŒHysteresisCycleFerrit2temperature20°celsiusFerriteO2‰4232ŠBInductionTransversalf‰HmŠ‚B1-7 Ž  4 3 4 2 Oxygen.PropertiesOxygen‘MaterialpropertiesmaterialnameOxygenmaterialcategoryGeneralmaterialdesignationOxygengaznormaltemperature&pressureGeneralPhysicalPropertiesspecificweight’g“cm3”0.001308dilationcoefficient’relativelinearchange”0.001130resistivity’Ohmxcm”1.000000e9Coefficienttemperatureresistivity0.000000MagneticPhysicalPropertiesrelativevolumemagnetic’linear”susceptibility1.410000e•7temperaturecoefficientsusceptibility•0.003400©
Properties–Oxygen,Temperature—60˜MaterialpropertiesmaterialnameOxygenmaterialcategoryGeneralmaterialdesignationOxygengaznormaltemperature&pressureGeneralPhysicalPropertiesspecificweight™gšcm3›0.001308dilationcoefficient™relativelinearchange›0.001130resistivity™Ohmxcm›1.000000e9Coefficienttemperatureresistivity0.000000MagneticPhysicalPropertiesrelativevolumemagnetic™linear›susceptibility1.410000eœ7temperaturecoefficientsusceptibilityœ0.003400Propertiesatthetemperature60°Celsiuslineardilation™variation%›4.520000electricalresistivity™variation%›0.000000relativesusceptibility™variation%›œ13.600000effectivelineardilationcoefficient1.045200effectiveelectricalresistivity™ohmœcm›1.000000e9effectivevolumemagneticsusceptibility1.218240eœ7 ž OxygenMaterialMagnetizationTable–Oxygen,FieldUnit—Tesla,MagnetizingFieldRange—Ÿ0,10 ,NumberOfPoints—11˜MagnetizationTableOxygentemperature20°CelsiusOxygengaznormaltemperature&pressureRangeforthemagnetizingfield:0.10.+T/Hm+T/M+T/B+T/F0.0000000.0000000.0000001.410000e71.0000001.410000e71.0000001.410000e72.0000002.820000e72.0000001.410000e73.0000004.230000e73.0000001.410000e74.0000005.640000e74.0000011.410000e75.0000007.050000e75.0000011.410000e76.0000008.460000e76.0000011.410000e77.0000009.870000e77.0000011.410000e78.0000001.128000e68.0000011.410000e79.0000001.269000e69.0000011.410000e710.0000001.410000e610.0000011.410000e7ž©
MaterialMagnetizationCurves¡Oxygen,¢B,M,Susceptibility£,FieldUnit¤Tesla,MagnetizingFieldRange¤¢0,10£¥0246810HmMagnetizingField¦T§0246810B¨T©MaterialMagnetizationCurveOxygentemperature20°celsiusOxygengaznormaltemperature&pressureBInductionf¦Hm§Typeofplot:LinearªLinear0246810HmMagnetizingField¦T§02«10¬74«10¬76«10¬78«10¬71«10¬61.2«10¬61.4«10¬6M¨T©MaterialMagnetizationCurveOxygentemperature20°celsiusOxygengaznormaltemperature&pressureMMagnetizationf¦Hm§Typeofplot:LinearªLinear0246810HmMagnetizingField¦T§05«10¬81«10¬71.5«10¬72«10¬72.5«10¬7­MaterialMagnetizationCurveOxygentemperature20°celsiusOxygengaznormaltemperature&pressure®Susceptibilityf¦Hm§Typeofplot:LinearªLinear©
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ÁMagnetica‚Introductionÿ Functions: Mathematicaform:FunctionName[arg1,arg2,...,option1,option2,...]ÿ Options:,ÿ Values: ‚AngularRangeÿ AngularRange DrawIsoFieldLinesÿ AngularRangeÿ AngularRangeÿ .ÿ DrawIsoFieldLines, DrawIsoFieldLinesZX.‚AXSBitterSolenoidÿ AXSBitterSolenoid[]ÿÿÿÿÿÿÿÿÿÿ©
Temperature:.LengthUnit:CurrentIntensityUnit: . AXSMagneticSystem, AXSSolenoid, LengthUnit, CurrentIntensityUnit.‚AXSCircularLoop AXSCircularLoop[FillingFactor-�filling] AXSCircularLoop[ConductorDiameter-�diameter] AXSCircularLoop[] AXSSolenoid.Superconductor. FillingFactor ConductorDiameter.wire.Temperature:.FilamentMode:True False)LengthUnit:ConductorDiameterCurrentIntensityUnit: .©
 AXSMagneticSystem, AXSSolenoid, FillingFactor, ConductorDiameter, Temperature,FilamentMode, LengthUnit, CurrentIntensityUnit.‚AXSHardMagneticComponent AXSHardMagneticComponent[]AXSRigidMagneticComponentAXSSoftMagneticComponent ComponentMeshing MeshingLevel. FillingFactor:MagnetizationAngle:RemanentMagnetization:Rigid:True False) False.ComponentMeshing:AutomaticTemperature:.LengthUnit:FieldUnit . AXSMagneticSystem, AXSRigidMagneticComponent, AXSSoftMagneticComponent, Filling-Factor, MagnetizationAngle, RemanentMagnetization, Rigid, ComponentMeshing, Temperature,‚AXSLargeMagneticSource AXSLargeMagneticSource[Bz] Bz.©
 FieldUnit. . AXSMagneticSystem, FieldUnit.‚AXSMagneticSystem AXSMagneticSystem[{axscomponent1,axscomponent2,…}]system. AXSLargeMagneticSource.SystemLabel:MeshingLevel:LegendrePointPosition:LegendreRadius: Automatic.LegendreOrder: , . AXSCircularLoop, AXSSolenoid, AXSBitterSolenoid, AXSRigidMagneticComponent,AXSHardMagneticComponent, AXSSoftMagneticComponent, AXSLargeMagneticSource, System-Label, MeshingLevel, LegendrePointPosition, LegendreRadius, LegendreOrder.‚AXSRigidMagneticComponent AXSRigidMagneticComponent[] FillingFactor:MagnetizationAngle:©
RemanentMagnetization:Temperature:.LengthUnit: . AXSMagneticSystem, AXSHardMagneticComponent, AXSSoftMagneticComponent, Filling-Factor, MagnetizationAngle, RemanentMagnetization, Temperature, LengthUnit, FieldUnit.‚AXSSoftMagneticComponent AXSSoftMagneticComponent[] AXSRigidMagneticComponent AXSHardMagneticComponent). ComponentMeshing MeshingLevel.Magnet.FillingFactor:LinearPermeabilityTrue False False.ComponentMeshing:Temperature:.LenghtUnit: . AXSMagneticSystem, AXSHardMagneticComponent, AXSRigidMagneticComponent, Filling-Factor, LinearPermeability, ComponentMeshing, Temperature, LengthUnit.©
‚AXSSolenoid AXSSolenoid[FillingFactor-�filling] AXSSolenoid[ConductorDiameter-�diameter] AXSSolenoid[ConductorHeightWidth-�{height,width}]dimensions. AXSSolenoid[]-Solenoid.Supercondutor.FillingFactor:wire.ConductorDiameter:ConductorHeightWidth:Temperature:.LengthUnit: ConductorDiameter, ConductorHeightWidth.CurrentIntensityUnit: . AXSMagneticSystem, AXSBitterSolenoid, FillingFactor, ConductorDiameter,ConductorHeightWidth, LengthUnit, CurrentIntensityUnit.©
‚CalculationMode CalculationMode Inherited, VectorPotential, SphericalHarmonics Automatic. Inherited . MagneticaCalculationMode, FieldPoint, VerboseFieldPoint, FieldMap,‚ComponentList ComponentList ComponentList-�{1,4,5,6,7,10} ComponentList-�{1,{4,7},10}.All:None: FieldPoint, VerboseFieldPoint,‚ComponentMeshing ComponentMeshing AXSHardMagneticComponent AXSSoftMagneticComponent, ComponentMeshingComponentMeshing-�. ComponentMeshing-�Automatic MeshingLevel. , , . AXSHardMagneticComponent, AXSSoftMagneticComponent, MeshingLevel.‚CondensedForm CondensedFormVerbose"display. VerboseFieldPoint ComponentList CondensedForm MagnetizationTable VerboseFieldPoint, VerboseFluxArea, VerbosePotentialPoint, VerboseGradientPoint,MagnetizationTable.©
‚ConductorDiameter ConductorDiameter AXSCircularLoop AXSSolenoid ConductorDiameter ConductorDiameter LengthUnit. , . AXSSolenoid, AXSCircularLoop, LengthUnit.‚ConductorHeightWidth ConductorHeightWidth AXSSolenoidwire. ConductorHeightWidthConductorHeightWidth. ConductorHeightWidth LengthUnit. . AXSSolenoid, LengthUnit.‚ContourFieldMapContinuous ContourFieldMapContinuous[system, },Plane[]] - ContourFieldMap. ContourFieldMapContinuous Mathematica ContourFieldMapPoints. NumberOfPoints ContourFieldMap, ContourFieldMapPoints.‚ContourFieldMap ContourFieldMap[system, },Plane[]] point1 point2. AXSMagneticSystem CARMagneticSystem. Plane,©
. . Plane[] ContourFieldMapContinuous ContourFieldMapPoints.ContourFieldMap ContourFieldMapContinuous. NumberOfPoints: Automatic.CalculationMode: Inherited, VectorPotential, SphericalHarmonics, Automatic. LengthUnit:: , . ContourFieldMapContinuous, ContourFieldMapPoints, FieldMap, VectorFieldMap,AXSMagneticSystem, NumberOfPoints, CalculationMode, LengthUnit, FieldUnit, FluxUnit,PotentialUnit, GradientUnit.‚ContourFieldMapPoints ContourFieldMapPoints[system, },Plane[]] - ContourFieldMap. ContourFieldMapPoints ContourFieldMapContinuous NumberOfPoints ContourFieldMap, ContourFieldMapContinuous.‚ContributionType ContributionType . ContributionType-�Proper ContributionType-�Ferro ContributionType\nTotal ©
SelfInductance, SelfFluxInductance, SelfMagneticEnergy,…‚CurrentIntensityUnit CurrentIntensityUnit CurrentIntensityUnit MagneticaUserUnits Ampere. ). . MagneticaUserUnits, AXSCircularLoop, AXSSolenoid, AXSBitterSolenoid,‚CurveType CurveType MaterialMagnetizationCurves Experimental, LinearModel, Comparison. CurveType Experimental, CurveType LinearModel, CurveType Comparison, MaterialMagnetizationCurves.‚DrawingRange DrawingRange DrawSystem OriginCentered Automatic. {0,0} {0,0,0} display. DrawingRange DrawSHLimits DrawIsoFieldLines-likefunctions. DrawSystem, DrawSystem2D, DrawSystem3D, DrawSHLimits, DrawIsoFieldLines.‚DrawIsoFieldLines DrawIsoFieldLines[system,}]fieldvaluei, DrawIsoFieldLines. AXSMagneticSystem CARMagneticSystem.©
\r B\r FieldUnit.\r DrawIsoFieldLines AngularRange\r\rNumberOfPoints: 15.AngularRange: {0,90}.CalculationMode: Inherited, VectorPotential, SphericalHarmonics, Automatic.\rFieldUnit:LengthUnit:\r .\r DrawIsoFieldLinesZX, AXSMagneticSystem, NumberOfPoints, AngularRange,CalculationMode, FieldUnit, LengthUnit.‚DrawIsoFieldLinesZX\r DrawIsoFieldLinesZX[system,}]\r .\r) DrawIsoFieldLines.\r DrawIsoFieldLines, AXSMagneticSystem.‚DrawSHLimits\r DrawSHLimits[system]\r DrawSHLimits.\r\r SHLimits\r .\r DrawSHLimitsZX, SHLimits, VerboseSHLimits, AXSMagneticSystem.‚DrawSHLimitsZX\r DrawSHLimitsZX[system]©
 . SHLimits, DrawSHLimits. DrawSHLimits, SHLimits.‚DrawSystem2D DrawSystem2D[system] DrawSystem2D.) DrawSystem2DXY,….  DrawSystem2DZX, DrawSystem3D, DrawSystem, AXSMagneticSystem.‚DrawSystem2DZX,DrawSystem2DXY,… DrawSystem2DZX[system]letters. . DrawSystem2D AXSMagneticSystem CARMagneticSystem. : : : : : :ShowArrows: False.ShowCentralAxes: True.ShowSphericalLimits:False.DrawingRange: Automatic. , …. DrawSystem2D, DrawSystem3D, DrawSystem, AXSMagneticSystem, ShowArrows, Show-CentralAxe, ShowSphericalLimits, DrawingRange.‚DrawSystem3D DrawSystem3D[system]©
 DrawSystem3D.) DrawSystem3DXYZ…. DrawSystem3DZXY, DrawSystem2D, DrawSystem, AXSMagneticSystem,‚DrawSystem3DZXY,DrawSystem3DZX,… DrawSystem3DZXY[system] . AXSMagneticSystem CARMagneticSystem. : : : : : :ShowCentralAxeTrue False True.DrawingRange: Automatic. , …. DrawSystem, DrawSystem3D, DrawSystem2D,AXSMagneticSystem, ShowCentralAxe,DrawingRange.‚DrawSystem DrawSystem[system] DrawSystem2D DrawSystem3D DrawSystemZXY DrawSystem3DZXY DrawSystemZX DrawSystem2DZX DrawSystem3DZXY, DrawSystem2DZX, AXSMagneticSystem.‚MagneticEnergyMatrix MagneticEnergyMatrix[system] ComponentsList©
ComponentsList: All.ContributionType: Proper(Ferro) Total.PrecisionLevel:MagneticEnergyUnit: , . VerboseMagneticEnergyMatrix, SelfMagneticEnergy, MutualMagneticEnergy,AXSMagneticSystem, AXSSolenoid, AXSCircularLoop, ContributionType, PrecisionLevel,MagneticEnergyUnit.‚Extended Extended MagnetizingFieldRange. Extended Operational, HysteresisCycle, MagnetizingFieldRange.‚FieldMapContinuous FieldMapContinuous[system, },]] line, FieldMapContinuous[system, },]] FieldMap. FieldMapContinuous Mathematica FieldMapPoints. NumberOfPoints FieldMap, FieldMapPoints.‚FieldMap FieldMap[system, },]] point1 point2. FieldMap[system, },]] point1 point2. AXSMagneticSystem CARMagneticSystem. Line Plane,©
.. Line[] Plane[] FieldMapContinuous FieldMapPoints FieldMap FieldMapContinuous.NumberOfPoints: Automatic.CalculationMode: Inherited, VectorPotential, SphericalHarmonics, Automatic.PlotScale:LinearMap.LengthUnit:: , . FieldMapContinuous, FieldMapPoints, ContourFieldMap, VectorFieldMap, AXSMagnetic-System, NumberOfPoints, CalculationMode, PlotScale, LengthUnit, FieldUnit, FluxUnit,PotentialUnit, GradientUnit.‚FieldMapPoints FieldMapPoints[system, },]] line, FieldMapPoints[system, },]]a FieldMap. FieldMapPoints FieldMapContinuous NumberOfPoints FieldMap, FieldMapContinuous.©
‚ FieldPoint[system,targetPoint] FieldPointVP[system,targetPoint] FieldPointSH[system,targetPoint]  } {r,z} {Br,Bz} {x,y,z}, . FieldPointMagneticaCalculationMode). ComponentList: .CalculationMode: Inherited, VectorPotential, SphericalHarmonics, Automatic. LengthUnit:FieldUnit: , . AXSMagneticSystem, ComponentList, CalculationMode, LengthUnit, FieldUnit, Verbose-FieldPoint.‚FieldPointOrigin FieldPointOrigin[system] VerboseFieldPoint {0,0,0}. FieldPointOrigin VerboseFieldPoint VerboseFieldPoint.‚FieldUnit FieldUnit FieldUnit MagneticaUserUnits .).©
 . MagneticaUserUnits, MagneticaCurrentUnits, FieldPoint, VerboseFieldPoint,‚FilamentMode FilamentMode AXSCircularLoop True False. FilamentMode-�True, FilamentMode-�False, . AXSCircularLoop.‚FillingFactor FillingFactor 4. , , . AXSSolenoid, AXSCircularLoop, AXSRigidMagneticComponent, AXSHardMagnetic-Component, AXSSoftMagneticComponent.‚ FluxArea[axssystem,] FluxAreaVP[axssystem,]  FluxAreaSH[axssystem,]  AXSMagneticSystem. . {fluxvalue}. FluxArea Magnetica-CalculationMode). ComponentList: . None.CalculationMode: Inherited,VectorPotential, SphericalHarmonics Automatic. ©
LengthUnit:FluxUnit: , . AXSMagneticSystem, ComponentList, CalculationMode, LengthUnit, FluxUnit, Verbose-FluxArea.‚FluxInductanceMatrix ComponentsListComponentsList: All.ContributionType: ProperFerro) Total.PrecisionLevel:FluxUnit: , . VerboseFluxInductanceMatrix, SelfFluxInductance, MutualFluxInductance,AXSMagneticSystem, AXSSolenoid, AXSCircularLoop, ContributionType, PrecisionLevel,FluxUnit.‚FluxUnit FluxUnit FluxUnit MagneticaUserUnits .). . MagneticaUserUnits, MagneticaCurrentUnits, FluxArea, VerboseFluxArea,©
‚ GradientPoint[axssystem, targetPoint] GradientPointVP[axssystem, targetPoint] GradientPointSH[axssystem, targetPoint]calculation. AXSMagneticSystem. . {{Bz/z,Bz/. GradientPoint Magnetica-CalculationMode). ComponentList: {componentsNumber,{gradient1,gradient2,…},total}.CalculationMode: Inherited,VectorPotential, SphericalHarmonics, Automatic. LengthUnit:GradientUnit: , . AXSMagneticSystem, ComponentList, CalculationMode, LengthUnit, GradientUnit,VerboseGradientPoint.‚GradientUnit GradientUnit GradientUnit MagneticaUserUnits ). . MagneticUserUnits, MagneticaCurrentUnits, GradientPoint, VerboseGradientPoint,...‚HysteresisCycle HysteresisCycle MagnetizingFieldRange. HysteresisCycle MagnetizingFieldRange, Operational, Extended.©
‚InductanceCoupling InductanceCoupling[system, ] component1 component2,   target. InductanceCoupling  PrecisionLevel: , , . VerboseInductanceCoupling, AXSMagneticSystem, PrecisionLevel.‚InductanceMatrix InductanceMatrix[system] ComponentsListComponentsList: All.ContributionType: ProperFerro) Total.PrecisionLevel:InductanceUnit: , . VerboseInductanceMatrix, SelfInductance, MutualInductance, AXSMagneticSystem,AXSSolenoid, AXSCircularLoop, ContributionType, PrecisionLevel, InductanceUnit.©
‚InductanceUnit InductanceUnit InductanceUnit MagneticaUserUnits Henry.). . MagneticaUserUnits, MagneticaCurrentUnits, SelfInductance, MutualInductance,InductanceMatrix.‚Irrelevant Irrelevant‚LegendreCoefficients LegendreCoefficients[system]  . SHLimits, DrawSHLimits. LegendreCoefficients LegendrePointPositionLegendreOrder FieldUnit. VerboseLegendreCoefficients.LegendreRadius: Automatic.LegendreMode: AbsoluteMode.FieldUnit:LengthUnit: LegendreRadius. . VerboseLegendreCoefficients, SHLimits, DrawSHLimits, AXSMagneticSystem, Legendre-PointPosition, LegendreRadius, LegendreMode, FieldUnit, LengthUnit,©
‚LegendreMode LegendreMode LegendreCoefficients VerboseLegendreCoefficients, AbsoluteMode RelativeMode. LegendreMode!AbsoluteMode LegendreMode!RelativeMode LegendreCoefficients, VerboseLegendreCoefficient.‚LegendreOrder LegendreOrder AXSMagneticSystem, LegendreOrder . AXSMagneticSystem.‚LegendrePointPosition LegendrePointPosition AXSMagneticSystem, LegendrePointPosition SphericalHarmonics . AXSMagneticSystem, SHLimits, LegendreCoefficients, VerboseSHLimits, Verbose-LegendreCoefficients.‚LegendreRadius LegendreRadius AXSMagneticSystem, LegendreCoefficients VerboseLegendre"Coefficients AXSMagneticSystem, Automatic) Automatic, LegendreCoefficients VerboseLegendreCoefficients LegendreRadius LengthUnit.©
# .# AXSMagneticSystem, LegendreCoefficients, VerboseLegendreCoefficients,LengthUnit.‚LengthUnit# LengthUnit# LengthUnit MagneticaUserUnits# Meter, Inch, Foot, Feet,…#Milli, Kilo, Micro,...).# .# MagneticaUserUnits.‚LinearLogMap# LinearLogMap PlotScale.## PlotScale.‚LinearMap# LinearMap PlotScale.## PlotScale.‚LinearPermeability# LinearPermeability AXSSoftMagneticComponent,# True False.# LinearPermeability# Permeability-�True# .# AXSSoftMagneticComponent, MaterialMagnetizationCurves.‚LogLinearMap# LogLinearMap PlotScale.©
$$ PlotScale.‚LogLogMap$ LogLogMap PlotScale.$$ PlotScale.‚MagneticaCurrentUnits$ MagneticaCurrentUnits[]$$ .$ MagneticaUserUnits.‚MagneticaUserUnits$ MagneticaUserUnits[unitSpecifications]$ MagneticaUserUnits[]$.$$$ %,% $Tera Giga Mega KiloDeci Centi Milli Micro Nano Pico$ .$ MagneticaCurrentUnits, LengthUnit, FieldUnit, PotentialUnit, FluxUnit, Gradient-Unit, InductanceUnit, MagneticEnergyUnit, MagneticMomentUnit, CurrentIntensityUnit,PowerUnit, VoltageUnit, ResistanceUnit,‚MagneticEnergyUnit$ MagneticEnergyUnit$ MagneticEnergyUnit MagneticaUserUnits©
& Joule,&).& .& MagneticUserUnits, MagneticaCurrentUnits, SelfMagneticEnergy, MutualMagnetic-Energy, MagneticEnergyMatrix,…‚MagnetizationAngle& MagnetizationAngle AXSRigidMagneticComponent AXSHardMagneticComponent, & MagnetizationAngle& MagnetizationAngle&& , .& AXSRigidMagneticComponent, AXSHardMagneticComponent.‚MagnetizationCurves& MagnetizationCurves[]& & & MagnetizationCurves-& all MagnetizationCurves& & AXSHardMagneticComponent).& AXSSoftMagneticComponent).& :Magnitude.::Magnitude.:::©
::' ComponentsList: {1}.PlotRows: PlotColumns.PlotColumns: PlotRows.ShowComponentsLimits: True.' , , .' MagnetizationTable, ComponentsList, AXSMagneticSystem, AXSHardMagnetic-Component, AXSSoftMagneticComponent.‚MagnetizationTable' MagnetizationTable[system]' ' MagnetizationTableAXSHardMagneticSystem AXSSoft(MagneticSystem).' Magneticaall MagnetizationTable' ComponentsList: All.CellsList: All.FullDetails: False.CondensedForm: True.' , , .' MagnetizationCurves, ComponentsList, AXSMagneticSystem, AXSHardMagnetic-Component, AXSSoftMagneticComponent.‚MagnetizingFieldRange' MagnetizingFieldRange MaterialMagnetizationCurves Material(MagnetizationTable' valuei' MagnetizingFieldRange MagnetizingUnitFieldUnit' Operational, Extended, HysteresisCycleAutomatic.' Automatic©
) .) MaterialMagnetizationCurves, MaterialMagnetizationTable, Operational, Extended,HysteresisCycle, MagnetizingUnit, FieldUnit.‚MaterialMagnetizationCurves) MaterialMagnetizationCurves[material,}] magnetizationFunctioni.)) ) .).)MagnetizingFieldRange: Automatic.Temperature:AutomaticNumberOfPoints: 15.PlotScale: CurveType: model, Experimental.) MagnetizingUnit:MagnetizationUnit: M,Mprincipal,Mtranversal.InductionUnit: B,Bprincipal,Btransversal.FieldUnit:) .) MaterialMagnetizationTable, Properties, MagnetizingFieldRange, Temperature,NumberOfPoints, PlotScale, CurveType, FieldUnit, MagnetizingUnit, MagnetizationUnit,InductionUnit.‚MaterialMagnetizationTable) MaterialMagnetizationTable[material] Material*MagnetizationCurves.)))MagnetizingFieldRange: Automatic.Temperature:AutomaticNumberOfPoints: 15.©
+ MagnetizingUnit:MagnetizationUnit: M,Mprincipal,Mtranversal.InductionUnit: B,Bprincipal,Btransversal.FieldUnit:+ .+ MaterialMagnetizationCurves, Properties, MagnetizingFieldRange, Temperature,NumberOfPoints, FieldUnit, MagnetizingUnit, MagnetizationUnit, InductionUnit.‚MeshingLevel+ MeshingLevel AXSMagneticSystem++ AXSHardMagneticComponent AXSSoft,MagneticComponent).+++++ , , .+ AXSMagneticSystem, ComponentMeshing,‚MagneticaCalculationMode+ MagneticaCalculationMode[mode] mode.+ MagneticaCalculationMode[] + CalculationMode Inherited.+ modeVectorPotential:SphericalHarmonics:SHLimits DrawSHLimitsAutomatic:+ , .+ VectorPotential, SphericalHarmonics, CalculationMode, SHLimits, VerboseSHLimits,DrawSHLimits.©
‚MutualMagneticEnergy- MutualMagneticEnergy[system,{componentnumber1,componentnumber2}]---target.--ContributionType: Proper(Ferro) Total.PrecisionLevel:-MagneticEnergyUnit:- , .- VerboseMutualMagneticEnergy, SelfMagneticEnergy, MagneticEnergyMatrix,AXSMagneticSystem, AXSSolenoid, AXSCircularLoop, ContributionType, PrecisionLevel,MagneticEnergyUnit.‚MutualFluxInductance- MutualFluxInductance[]---target.--ContributionType: Proper(Ferro) Total.PrecisionLevel:-FluxUnit:- , .- VerboserMutualFluxInductance, AXSMagneticSystem, AXSSolenoid, AXSCircularLoop,ContributionType, PrecisionLevel, FluxUnit.©
‚MutualInductance. MutualInductance[system,{component1,component2}]...target...ContributionType: Proper(Ferro) Total.PrecisionLevel:.InductanceUnit:. , .. VerboserMutualInductance, AXSMagneticSystem, AXSSolenoid, AXSCircularLoop,ContributionType, PrecisionLevel, InductanceUnit.‚NumberOfPoints. NumberOfPoints. NumberOfPoints. NumberOfPoints. NumberOfPoints. FieldMap, ContourFieldMap, DrawIsoFieldLines, MagnetizationCurves,...‚Operational. Operational MagnetizingFieldRange.. Operational. Extended, HysteresisCycle, MagnetizingFieldRange.‚PlotScale. PlotScale. LinearMap, LogLinearMap, LinearLogMap, LogLogMap.. LinearMap.. .©
/ FieldMap, MaterialMagnetizationCurves, LinearMap, LinearLogMap, LogLinearMap,LogLogMap.‚/ PotentialPoint[axssystem, targetPoint]/ PotentialPointVP[axssystem, targetPoint]/ PotentialPointSH[axssystem, targetPoint]calculation./ AXSMagneticSystem./ ./ 0A12./ PotentialPoint Magnetica-CalculationMode)./ ComponentList: {componentsNumber,{potential1,potential2,…},total}.CalculationMode: Inherited,VectorPotential, SphericalHarmonics, Automatic./ LengthUnit:PotentialUnit:/ , ./ AXSMagneticSystem, ComponentList, CalculationMode, LengthUnit, PotentialUnit,VerbosePotentialPoint.‚PotentialUnit/ PotentialUnit/ PotentialUnit MagneticaUserUnits/ /)./ ./ MagneticUserUnits, MagneticaCurrentUnits, PotentialPoint, VerbosePotential-Point,...‚PowerUnit/ PowerUnit©
3 PowerUnit MagneticaUserUnits3 Watt.3 Milli, Kilo, Mega,3 .3 MagneticaUserUnits, MagneticaCurrentUnits, VerboseTransformerAnalysis.‚PrecisionLevel3 PrecisionLevel33333 SelfInductance, SelfFluxInductance, SelfMagneticEnergy,…‚Properties3 Properties[system] 3 Properties[material] material.3 ComponentList33 .3 AXSMagneticSystem, ComponentList, Temperature.‚RemanentMagnetization3 RemanentMagnetization AXSRigidMagneticComponent AXSHardMagnetic4Component,3 RemanentMagnetization3 RemanentMagnetization MaterialMagnetizationUnit FieldUnit.3 , .3 AXSRigidMagneticComponent, AXSHardMagneticComponent, FieldUnit, Material-MagnetizationUnit.‚ResistanceUnit3 ResistanceUnit©
5 ResistanceUnit MagneticaUserUnits5 Volt.5 Milli, Kilo, Mega,5 .5 MagneticaUserUnits, MagneticaCurrentUnits, VerboseTransformerAnalysis.‚ResonantCapacitor5 ResonantCapacitor[] 5 5 .5 ResonantFrequency, TurnsBrookCoil.‚ResonantFrequency5 ResonantFrequency[] capacitor.5 Hertz.5 .5 ResonantCapacitor, TurnsBookCoil.‚Rigid55555 AXSHardMagneticComponent.©
‚SelfMagneticEnergy6 SelfMagneticEnergy[]6 SelfMagneticEnergy[}]6 SelfMagneticEnergy[system,All]system.6666component.6 All,6ContributionType: Proper(Ferro) Total.PrecisionLevel:6MagneticEnergyUnit:6 , .6 VerboseSelfMagneticEnergy, MutualMagneticEnergy, MagneticEnergyMatrix,AXSMagneticSystem, AXSSolenoid, AXSCircularLoop, ContributionType, PrecisionLevel,MagneticEnergyUnit.‚SelfFluxInductance6 SelfFluxInductance[]geometry.6 SelfFluxInductance[}]6 SelfFluxInductance[system,All]system.6666component.6 All,©
7ContributionType: Proper(Ferro) Total.PrecisionLevel:7FluxUnit:7 , .7 VerboseSelfFluxInductance, AXSMagneticSystem, AXSSolenoid, AXSCircularLoop,ContributionType, PrecisionLevel, FluxUnit.‚SelfInductance7 SelfInductance[system,componentnumber]7 SelfInductance[}]7 SelfInductance[system,All] 77777 All, 7ContributionType: ProperFerro) Total.PrecisionLevel:7InductanceUnit:7 , .7 VerboseSelfInductance, AXSMagneticSystem, AXSSolenoid, AXSCircularLoop,ContributionType, PrecisionLevel, InductanceUnit.‚SHLimits7 SHLimits[system]7 AXSMagneticSystem CARMagneticSystem.7©
8 LegendrePointPosition8 .8 AXSMagneticSystem, VerboseSHLimits, DrawSHLimits, LegendrePointPosition.‚ShowArrows8 ShowArrows DrawSystem8 True False.8 ShowArrows DrawSHLimits DrawIsoFieldLines-likefunctions.8 DrawSystem, DrawSystem2D, DrawSHLimits, DrawIsoFieldLines.‚ShowCentralAxe8 ShowCentralAxe DrawSystem8 True False.8 ShowCentralAxe DrawSHLimits DrawIsoFieldLines-likefunctions.8 DrawSystem, DrawSystem2D, DrawSystem3D, DrawSHLimits, DrawIsoFieldLines.‚ShowSphericalLimits8 ShowSphericalLimits DrawSystem2DSphericalHarmonics8 True False.8 DrawIsoFieldLines.8 DrawSystem2D, DrawIsoFieldLines, DrawSHLimits, SHLimits.‚SphericalHarmonics8 CalculationMode Magnetica9CalculationMode8 SphericalHarmonics, SHLimits.8 VectorPotential.8 .8 CalculationMode, MagneticaCalculationMode, SHLimits, VectorPotential.©
‚SystemInductance: SystemInductance[system]: : ComponentsList: .: ComponentsList: All.ContributionType: ProperFerro) Total.PrecisionLevel:: InductanceUnit, FluxUnit, MagneticEnergyUnit:: , .: VerboseSystemInductance, InductanceMatrix.‚SystemLabel: SystemLabel AXSMagneticSystem: SystemLabel SystemLable-�.:: .: AXSMagneticSystem.‚TableIsoFieldLines: TableIsoFieldLines[}] DrawIsoFieldLines: DrawIsoFieldLines.:NumberOfPoints: 15.AngularRange: {0,90}.CalculationMode: Inherited, VectorPotential, SphericalHarmonics, Automatic.:FieldUnit:LengthUnit:: .: DrawIsoFieldLines, AXSMagneticSystem, NumberOfPoints, AngularRange, Calculation-Mode, FieldUnit, LengthUnit.©
‚Temperature; Temperature; Temperature; Temperature;;.; .; AXSCircularLoop, AXSSolenoid, AXSBitterSolenoid, AXSRigidMagneticComponent,AXSHardMagneticComponent, AXSSoftMagneticComponent, Properties.‚TransformerAnalysis; TransformerAnalysis[] VerboseTransformerAnalysis.; ; ; ; ; InputFrequency:PrecisionLevel:FullDetails: False.; CurrentIntensityUnit, ResistanceUnit, VoltageUnit, FieldUnit, PowerUnit.; .; VerboseTransformerAnalysis, AXSMagneticSystem, PrecisionLevel.‚TransformerMagneticLosses; TransformerMagneticLosses[system] ;; .; ; InputFrequency:©
, . VerboseTransformerMagneticLosses, TransformerAnalysis, VerboseTranformer-Analysis.‚TurnsBrookCoil TurnsBrookCoil[] . ResonantFrequency, ResonantCapacitor.‚VectorFieldMap VectorFieldMap[system,]] point1 point2. VectorFieldMap[system,]] point1 point2. AXSMagneticSystem CARMagneticSystem. Plane, BoxNumberOfPoints: Automatic. Plane, Box).CalculationMode: Inherited, VectorPotential, SphericalHarmonics, Automatic.LengthUnit:FieldUnit: , . FieldMap, ContourFieldMap, AXSMagneticSystem, NumberOfPoints, CalculationMode,LengthUnit, FieldUnit.‚VectorPotential VectorPotential CalculationMode Magnetica=CalculationMode VectorPotential, SphericalHarmonics.©
� .� CalculationMode, MagneticaCalculationMode, SphericalHarmonics.‚VerboseMagneticEnergyMatrix� MagneticEnergy?Matrix.� MagneticEnergyMatrix.�MagneticEnergyUnit,CurrentIntensityUnit:� MagneticEnergyMatrix.‚VerboseSHLimits� VerboseSHLimits[system] SHLimits.� SHLimits.‚� VerboseFieldPoint[] FieldPoint.� VerboseFieldPointVP[] FieldPointVP.� VerboseFieldPointSH[] FieldPointSH.� FieldPoint.� FieldPoint.�ComponentList:CalculationMode: VectorPotential, SphericalLimits, AutomaticCondensedForm: ComponentList,�LengthUnit:FieldUnit:� , .� FieldPoint, ComponentList, CalculationMode, LengthUnit, FieldUnit.‚� VerboseFluxArea[] FluxArea.� VerboseFluxAreaVP[] FluxAreaVP.� VerboseFluxAreaSH[] FluxAreaSH.©
@ [email protected] [email protected]:components.CalculationMode: VectorPotential, SphericalLimits, AutomaticCondensedForm: ComponentList,@LengthUnit:FluxUnit:@ , [email protected] FluxArea, ComponentList, CalculationMode, LengthUnit, FluxUnit.‚[email protected] VerboseFluxInductanceMatrix[system] [email protected] [email protected],CurrentIntensityUnit:@ FluxInductanceMatrix.‚@ VerboseGradientPoint[] [email protected] VerboseGradientPointVP[] [email protected] VerboseGradientPointSH[] [email protected] [email protected] [email protected]:CalculationMode: VectorPotential, SphericalLimits, AutomaticCondensedForm: ComponentList,@LengthUnit:GradientUnit:@ , .©
B GradientPoint, ComponentList, CalculationMode, LengthUnit, GradientUnit.‚VerboseInductanceCouplingB VerboseInductanceCoupling[] InductanceCoupling.B InductanceCoupling.B CurrentIntensityUnit, InductanceUnit, FluxUnit:B , .B InductanceCoupling, AXSMagneticSystem, PrecisionLevel, CurrentIntensityUnit,InductanceUnit, FluxUnit.‚VerboseInductanceMatrixB VerboseInductanceMatrix[system] InductanceMatrix.B InductanceMatrix.BInductanceUnit,CurrentIntensityUnit:B InductanceMatrix.‚VerboseLegendreCoefficientsB VerboseLegendreCoefficients[system] LegendreCCoefficientsB LegendreCoefficients.B LegendreCoefficients.‚VerboseMutualMagneticEnergyB VerboseMutualMagneticEnergy[system,{compnumber1,compnumber2}] MutualMagneticEnergy.B MutualMagneticEnergy.BMagneticEnergyUnit,CurrentIntensityUnit:B MutualMagneticEnergy.©
‚VerboseMutualFluxInductanceD VerboseMutualFluxInductance[system,{compnumber1,compnumber2}] MutualFluxInductance.D MutualFluxInductance.DFluxUnit,CurrentIntensityUnit:D MutualFluxInductance.‚VerboseMutualInductanceD VerboseMutualInductance[system,{compnumber1,compnumber2}] MutualInductance.D MutualInductance.DInductanceUnit,CurrentIntensityUnit:D MutualInductance.‚VoltageUnitD VoltageUnitD VoltageUnit MagneticaUserUnitsD Volt.D Milli, Kilo, Mega,D .D MagneticaUserUnits, MagneticaCurrentUnits, VerboseTransformerAnalysis.‚D VerbosePotentialPoint[] PotentialEPoint.D VerbosePotentialPointVP[] PotentialPointVP.D VerbosePotentialPointSH[] PotentialPointSH.D PotentialPoint.D PotentialPoint.DComponentList:CalculationMode:©
VectorPotential, SphericalLimits, AutomaticCondensedForm: ComponentList,FLengthUnit:PotentialUnit:F , .F PotentialPoint, ComponentList, CalculationMode, LengthUnit, PotentialUnit.‚VerboseSelfMagneticEnergyF VerboseSelfMagneticEnergy[system,componentnumber]SelfMagneticEnergy.F VerboseSelfMagneticEnergy[system,{compnumber1,compnumber2,…}]F VerboseSelfMagneticEnergy[system,All]F SelfMagneticEnergy.FMagneticEnergyUnit,CurrentIntensityUnit:F SelfMagneticEnergy.‚VerboseSelfFluxInductanceF VerboseSelfFluxInductance[system,componentnumber]SelfFluxInductance.F VerboseSelfFluxInductance[system,{compnumber1,compnumber2,…}]F VerboseSelfFluxInductance[system,All]F SelfFluxInductance.F:F SelfFluxInductance.‚VerboseSelfInductanceF VerboseSelfInductance[system,componentnumber] SelfGInductance.F VerboseSelfInductance[system,{compnumber1,compnumber2,…}]F VerboseSelfInductance[system,All]F SelfInductance.FInductanceUnit,CurrentIntensityUnit:F SelfInductance.©
‚VerboseSystemInductanceH VerboseSystemInductance[system] VerboseSystemIInductance.H , .H SystemInductance, InductanceMatrix.‚VerboseTransformerAnalysisH VerboseTransformerAnalysis[] aH H H H InputFrequency:PrecisionLevel:FullDetails: False.H CurrentIntensityUnit, ResistanceUnit, VoltageUnit, FieldUnit, PowerUnit.H .H TransformerAnalysis, AXSMagneticSystem, PrecisionLevel.‚VerboseTransformerMagneticLossesH VerboseTransformerMagneticLosses[system] TransformerMagneticLosses.H , .H TransformerMagneticLosses, TransformerAnalysis, VerboseTranformerAnalysis.©

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