transformer - maxwell3d v14
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Example(2D/3DTransient) CoreLoss
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Maxwell v14
Transformer Core Loss Calculation in Maxwell 2D and 3DThisexampleanalyzescoreslossesfora3phpowertransformerhavingalaminatedsteelcoreusingMaxwell2Dand3D.Thetransformerisrated115-
13.8kV,60Hzand30MVA.Thetestedpowerlossesare23,710W.Itisimportant
torealizethatafiniteelementmodelcannotconsiderallofthephysicaland
manufacturingcorelosseffectsinalaminatedcore.Theseeffectsinclude:
mechanicalstressonlaminations,edgeburrlosses,stepgapfringingflux,
circulatingcurrents,variationsinsheetlossvalues,tonamejustafew.
Becauseofthisthesimulatedcorelossescanbesignificantlydifferentthanthe
testedcorelosses.
Thisexamplewillgothroughallstepstocreatethe2Dand3Dmodelsbasedon
acustomersuppliedbasemodel.Forcorelosses,onlyasinglemagnetizing
windingneedstobeconsidered.Corematerialwillbecharacterizedfornonlinear
BHandcorelosscharacteristics.Anexponentiallyincreasingvoltagesourcewill
beappliedinordertoeliminateinrushcurrentsandtheneedforanunreasonably
longsimulationtime(ofdaysorweeks).Finally,thecorelosswillbeaveraged
overtimeandthecorefluxdensitywillbeviewedinananimatedplot.
Thisexamplewillbesolvedintwopartsusingthe2DTransientand3DTransient
solvers.Themodelconsistsofamagneticcoreandlowvoltagewindingoneach
coreleg.
3D Model 2D Model
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Maxwell v14
Prepare GeometryTo Import Geometry
SelectthemenuitemModeler > ImportLocatetheparasolid filetransformer.x_t andOpen it.Thegeometryisofatransformerwithcoresimplifiedinordertoreducethe
complexity.Userscanbringthegeometriesdirectlyanddosimplification
insideMaxwell.
Change AttributesPressCtrl andselecttheobjectsLV_A, LV_B andLV_C andgoto theirpropertieswindow,
1. ChangethecoloroftheobjectstoOrange2. Changethetransparencyoftheobjectsto0
SelecttheobjectCore fromthehistorytreeandgoto Propertieswindow,1. Changethetransparencyoftheobjectto0
Specify ExcitationsTo Create Coil Terminals
PressCtrl andselecttheobjectsLV_A, LV_B andLV_CSelectthemenuitemModeler > Surface SectionInSectionwindow,
1. SectionPlane:SelectXZ2. PressOK
RenametheresultingsectionstoSectionA, SectionB andSectionCrespectively
SelectthesheetsSectionA, SectionB andSectionC fromthehistorytreeSelectthemenuitemModeler > Boolean > Separate BodiesDeletethesheetsSectionA_Separate1, SectionB_Separate1 andSectionC_Separate1
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Assign ExcitationsPressCtrl andselectthesheetsSectionA, SectionB andSectionC fromthehistorytree
SelectthemenuitemMaxwell 3D > Excitations > A ssign > Coil TerminalInCoilTerminalExcitationwindow,
1. BaseName:term_A2. NumberofConductors:763. PressOK
Thiswillcreatethreeexcitationscorrespondingtoeachsection.Change
theirnamesasbelow:
1. RenametheexcitationcorrespondingtoSectionA asterm_A2. RenametheexcitationcorrespondingtoSectionB asterm_B3. RenametheexcitationcorrespondingtoSectionC asterm_C
Create WindingsSelectthemenuitemMaxwell 3D > Excitations > A dd W indingInWindingwindow,
1. Name:WindingA2. Type:Voltage3. Stranded: Checked4. InitialCurrent:0 A5. Resistance:1 mOhm6. Inductance:0 mH (Sincethisiscalculatedbysolver)7. Voltage: Vpeak*(1-exp(-50*time))*cos(2*pi*60*time)8. PressOK
InAddVariablewindow,
1.
UnitType:Voltage2. Unit:V3. Value:138002/3= 112684. PressOK
Note: Thisisanexponentiallyincreasing(inseveralcycles)sinusoidal60Hzwaveformwithpeakmagnitudeof11,268V..
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InSimilarwayaddtwomorewindings
WindingB
1. Name:WindingB2. Type:Voltage3. Stranded: Checked4. InitialCurrent:0 A5. Resistance:1 mOhm6. Inductance:0 mH (Sincethisiscalculatedbysolver)7. Voltage: Vpeak*(1-exp(-50*time))*cos(2*pi*60*time+(2/3*pi))
WindingC
1. Name:WindingC2. Type:Voltage3. Stranded: Checked4. InitialCurrent:0 A5. Resistance:1 mOhm6. Inductance:0 mH (Sincethisiscalculatedbysolver)7. Voltage: Vpeak*(1-exp(-50*time))*cos(2*pi*60*time+(4/3*pi))
Add Terminals to WindingsExpandtheProjectManagertreetoviewExcitations
RightclickonWindingA andselectAdd TerminalsInAddTerminalswindow,
Selectterm_APressOK
InSimilarwayaddterm_B toWindingBAddterm_C toWindingC
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Assign MaterialsTo Assign Materials to Coils
PressCtrl andselecttheobjectsLV_A, LV_B andLV_C , rightclickandselectAssign MaterialInSelectDefinitionwindow,
1. Typecopper inSearchbyNamefield2. PressOK toassignmaterial
To Assign Material to CoreSelecttheobjectCore fromthehistorytree,rightclickandselectAssignMaterialInSelectDefinitionwindow,selectthebuttonAdd MaterialInView/EditMaterialwindow,
MaterialName:M125_027RelativePermeability:
SetthetypetoNonlinearSelectthebuttonBH Curve fromvaluefieldInBHCurvewindow,
SelectthebuttonImport DatasetSettheFileTypeto*.TabLocatethefileEx_7_4_core_loss_B_H.tabandOpen itPressOK tocloseBHCurvewindow
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ReturntoView/EditMaterialwindow,
CoreLossType:SettoElectrical SteelSetthetabatthebottomofwindowCalculatePropertiesfortoCoreLoss at one Frequency
InBPCurvewindow,
SelectthebuttonImport DatasetSettheFileTypeto*.TabLocatethefileEx_7_4_core_loss_B_loss.tabandOpen itCoreLossUnit:w/kgMassDensity:7650 kg/m^3Frequency:60 HzThickness:0.27 mmConductivity:5000000 S/mPressOK tocloseBPCurvewindow
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Notethatthecorelosscoefficientsarecalculatedautomatically.
PressOK tocreatethenewmaterialPressOK tocloseSelectDefinitionwindow
Assign Mesh OperationsInthetransientsolvers,thereisnoautomaticadaptivemeshing.Therefore,the
usermusteitherlinkthemeshfromanidenticalmodelsolvedusingthe
magnetostatic andeddycurrentsolvers,oralternativelyamanualmeshmustbe
created.Inthisexample,ameshiscreatedmanuallyusinginsideselectionto
createelementsthroughoutthevolumeoftheobjects.
To Assign Mesh Operations for CoreSelecttheobjectCore fromthehistorytreeSelectthemenuitemMaxwell 3D > M esh Operations > Assign > InsideSelection > Length BasedInElementLengthBasedRefinementwindow,
Name:Length_CoreRestrictLengthofElements: UncheckedRestricttheNumberofElements: CheckedMaximumNumberofElements:10000PressOK
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To Assign Mesh Operations for CoilsPressCtrl andselecttheobjectsLV_A, LV_B andLV_C fromthehistorytree
SelectthemenuitemMaxwell 3D > M esh Operations > Assign > InsideSelection > Length BasedInElementLengthBasedRefinementwindow,
Name:Length_CoilsRestrictLengthofElements: UncheckedRestricttheNumberofElements: CheckedMaximumNumberofElements:10000PressOK
Set Core Loss CalculationsTo Set Core Loss calculations for Core
SelectthemenuitemMaxwell 3D > E xcitations > Set Core LossInSetCoreLosswindow,
Core:
CoreLossSettings: CheckedForallotherObjects
CoreLossSettings: UncheckedPressOK
Note: OncecorelosssettingsareturnedONforcore,atickmarkwillappearinthecolumnDefinedinMaterialindicatingcorelosscoefficients
arealreadyspecified
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Set Eddy EffectsSincewindingissingleobjectrepresentingmanystrandsandcoreissingleobjectrepresentingmanylaminations,eddyeffectmustbeturnedoffthem.
To Turn off Eddy Effects in ObjectsSelectthemenuitemMaxwell 3D > Excitations > S et Eddy E ffectsInSetEddyEffectswindow,
EnsureEddyEffectsareUnchecked forallobjectsPressOK
Create Simulation RegionTo Create RegionSelectthemenuitemDraw > Reg ionInRegionwindow,
PaddingData:Pad individual directions+/- X=30+/- Y=200+/- Z=30
Note: Thissmallpadding%isacceptableasfieldsarecompletelyconcentratedinsidethemagneticcoreandthereislittleornofringing
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Analysis SetupTo Create Analysis Setup
SelectthemenuitemMaxwell 3D > Analysis Setup > Add Solution SetupInSolveSetupWindow,
General tabStoptime:0.1sTimestep:0.0005 s
Save Fields tabType:Linear StepStart:0.08 sStop:0.1 sStepSize:0.0005 sSelectthebuttonAdd to List >>
Solver tabNonlinearResiduals:1e-6 (ToProvideaccurateconvergenceforBHCurve
PressOK
SaveTo Save File
SelectthemenuitemFile > SaveSavethefilewiththenameEx_7_4_core_loss.mxwl
AnalyzeTo Run Solution
SelectthemenuitemMaxwell 3D > A nalyze All
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Mesh InformationTo Plot Mesh on Core and Coils
SelecttheobjectRegion fromthehistorytreeSelectthemenuitemView > H ide Selection > Active ViewSelectthemenuitemEdit > Select All VisibleSelectthemenuitemMaxwell 3D > F ields > Plot MeshInCreateMeshPlotwindow,
PressDone
To View Mesh InformationSelectthemenuitemMaxwell 3D > Results > Solution DataInSolutionswindow,
SelectthetabMesh Statistics toviewmeshinformation
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Create ReportsPlot Winding Currents Vs Time
SelectthemenuitemMaxwell 3D > Results > Create Transient Report >Rectangular PlotInReportwindow,
Category:WindingQuantity:PressCtrl andselectCurrent(WindingA),Current(WindingB)andCurrent(WindingC)SelectNew Report
Note: DonotcloseReportwindowaswewillcreatemoreplotsusingsamewindow
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Plot Input Voltages Vs TimeInReportwindow,
Quantity
DeselecttheCurrentquantitiesalreadyselected
PressCtrl andselectInputVoltage(WindingA),InputVoltage(WindingB)andInputVoltage(WindingC)SelectNew Report
Plot Cores Loss vs TimeInReportwindow,
Category:ChangetoLossQuantity:SelectCoreLossSelectNew ReportPressClose toclosereportwindow
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Calculate Avg Losses over a Time RangeInXYPlotCorrespondingtoCoreLoss,rightclickontheLegendandselect
Trace Characteristics > AddInAddTraceCharacteristicswindow,
Category:MathFunction:AvgChangetheRangefromFulltoSpecifiedStartofRange:80 msEndofRange:100 msSelectAdd andDone
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Create Flux Density PlotTo Plot Flux Density on Core
DoubleclickonMaxwell3DDesign1 inProjectManagerwindowtoexitPlotview
SelecttheobjectCore fromthehistorytreeSelectthemenuitemMaxwell 3D > Fields > Fields > B > Mag_BInCreateFieldPlotwindow,
PlotonsurfaceOnly: CheckedPressDone
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To Animate the PlotSelectthemenuitemMaxwell 3D > F ields > An imateInSetupAnimationwindow,
SweepVariable:TimeSelectvalues:Selectthetimerangefrom0.0805s to0.087sPressOK
AnAnimationwindowwillpopupwhichwillenabletostart,stop,pausethe
animation.Animationspeedcanalsobevariedusingsamewindow.The
animationcanbealsoexportedinGIForAVIformatusingExportbutton
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Part 2: 2D Eddy ProjectCreate a 2D Design Automatically
To Create a 2D Design from 3DSelectthemenuitemMaxwell 3D > Create 2D DesignInCreate2DDesignwindow,
CoordinateSystem:GlobalSectionPlane:ZX2DGeometryMode:XYPressOK
Set Solution TypeTo Set Solution Type
SelectthemenuitemMaxwell 2D > Solution TypeInSolutionTypewindow,
VerifythatGeometryModeissettoCartesian, XYSelecttheradiobuttontoMagnetic > TransientPressOK
Set Model DepthSetthedepthofthe2DXYmodeltogivethesameareaasinMaxwell3D=264704mm2.Sincethewidthofthecoreleg=580mm,setthedepth=456mm.
To Set Model DepthSelectthemenuitemMaxwell 2D > Model > Set Model DepthInDesignSettingswindow,
SetModelDepthto456 mmPressOK
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Modify 2D GeometryModify Region
ExpandthehistorytreecorrespondingtothesheetRegionDoubleclickonthecommandCreateRegion fromthehistorytreeInPropertieswindow,
Change+XPaddingDatato100ChangeXPaddingDatato100PressOK
Delete Unnecessary SheetsPressCtrl andselectthesheetsSectionA, SectionB andSectionCSelectthemenuitemEdit > Delete
Separate Coil SectionsPressCtrl andselectthesheetsLV_A,LV_B andLV_CSelectthemenuitemModeler > Boolean > Separate Bodies
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Specify ExcitationsAssign Coil: Out
PressCtrl andselectthesheetsLV_A, LV_B andLV_C fromhistorytreeSelectthemenuitemMaxwell 2D > Excitations > A ssign > CoilInCoilExcitationwindow,
BaseName:outNumberofConductors:76Polarity:Positive
RenametheexcitationscreatedtoA_out, B_out andC_outAssign Coil: In
PressCtrl andselectthesheetsLV_A_Separate1, LV_B_Separate1 andLV_C_Separate1 fromhistorytreeSelectthemenuitemMaxwell 2D > Excitations > A ssign > CoilInCoilExcitationwindow,
BaseName:inNumberofConductors:76Polarity:Negative
RenametheexcitationscreatedtoA_in, B_in andC_inAdd WindingsSelectthemenuitemMaxwell 2D > Excitations > A dd W indingInWindingwindow,
1. Name:WindingA2. Type:Voltage3. Stranded: Checked4. InitialCurrent:0 A5. Resistance:1 mOhm6. Inductance:0 mH (Sincethisiscalculatedbysolver)7. Voltage: Vpeak*(1-exp(-50*time))*cos(2*pi*60*time)8. PressOK
InAddVariablewindow,
1. UnitType:Voltage2. Unit:V3. Value:138002/3= 112684. PressOK
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InSimilarwayaddtwomorewindings
WindingB
1. Name:WindingB2. Type:Voltage3. Stranded: Checked4. InitialCurrent:0 A5. Resistance:1 mOhm6. Inductance:0 mH (Sincethisiscalculatedbysolver)7. Voltage: Vpeak*(1-exp(-50*time))*cos(2*pi*60*time+(2/3*pi))
WindingC
1. Name:WindingC2. Type:Voltage3. Stranded: Checked4. InitialCurrent:0 A5. Resistance:1 mOhm6. Inductance:0 mH (Sincethisiscalculatedbysolver)7. Voltage: Vpeak*(1-exp(-50*time))*cos(2*pi*60*time+(4/3*pi))
Add Coils to the WindingExpandtheProjectManagertreetoviewExcitations
RightclickonWindingA andselectAdd CoilsInAddTerminalswindow,
PressCtrl andselectA_in andA_outPressOK
InSimilarwayaddB_in andB_out toWindingBAddC_in andC_out toWindingC
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Assign BoundaryThecurrentisassumedtobe1Aat0degreesintheleftbusbar and-1Aat60degreesintherightbusbar.Ano-fringingvectorpotentialboundarywillbe
assignedtotheoutsideofthe2Dproblemregionwhichisalsothedefault
boundaryforall3Dprojects.Thisforcesallfluxtostayinthesolutionregion.
To Assign BoundarySelectthemenuitemEdit > Select > EdgesSelectallexternaledgesoftheRegion
SelectthemenuitemMaxwell 2D > Boundaries > A ssign > Vector PotentialInVectorPotentialBoundarywindow,
Value:Setto0PressOK
SelectthemenuitemEdit > Select > Ob jects tochangeselectionfilter
Assign Mesh OperationsAsinthe3Dtransientsolver,thereisnoadaptivemeshinginthe2Dtransient
solver.Amanualmeshiscreatedmanuallyusinginsideselectiontocreate
elementsthroughoutthevolumeoftheobjects.
To Assign Mesh OperationPressCtrl andselectthecoreandallsixsheetscorrespondingtocoilsSelectthemenuitemMaxwell 2D > M esh Operations > Assign > InsideSelection > Length BasedInElementLengthBasedRefinementwindow,
RestrictLengthofElements: CheckedMaximumLengthofElements:100 mmRestricttheNumberofElements: UncheckedPressOK
Set Eddy EffectsTo Turn off Eddy Effects in Objects
SelectthemenuitemMaxwell 2D > Excitations > S et Eddy E ffectsInSetEddyEffectswindow,
EnsureEddyEffectsareUnchecked forallobjectsPressOK
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Set Core Loss CalculationsTo Set Core Loss calculations for Core
SelectthemenuitemMaxwell 2D > E xcitations > Set Core LossInSetCoreLosswindow,
Core:
CoreLossSettings: CheckedForallotherObjects
CoreLossSettings: UncheckedPressOK
Analysis SetupTo Create Analysis Setup
SelectthemenuitemMaxwell 2D > Analysis Setup > Add Solution SetupInSolveSetupWindow,
General tabStoptime:0.1sTimestep:0.0005 s
Save Fields tabType:Linear StepStart:0.08 sStop:0.1 sStepSize:0.0005 sSelectthebuttonAdd to List >>
Solver tabNonlinearResiduals:1e-6
PressOK
SaveTo Save File
SelectthemenuitemFile > SaveAnalyze
To Run SolutionSelectthemenuitemMaxwell 3D > A nalyze All
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Mesh InformationTo Plot Mesh on Core and Coils
SelectthemenuitemEdit > Select All VisibleSelectthemenuitemMaxwell 2D > F ields > Plot MeshInCreateMeshPlotwindow,
PressDone
To View Mesh InformationSelectthemenuitemMaxwell 2D > Results > Solution DataInSolutionswindow,
SelectthetabMesh Statistics toviewmeshinformation
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Create ReportsPlot Winding Currents Vs Time
SelectthemenuitemMaxwell 2D > Results > Create Transient Report >Rectangular PlotInReportwindow,
Category:WindingQuantity:PressCtrl andselectCurrent(WindingA),Current(WindingB)andCurrent(WindingC)SelectNew Report
Note: DonotcloseReportwindowaswewillcreatemoreplotsusingsamewindow
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Plot Input Voltages Vs TimeInReportwindow,
Quantity
DeselecttheCurrentquantitiesalreadyselected
PressCtrl andselectInputVoltage(WindingA),InputVoltage(WindingB)andInputVoltage(WindingC)SelectNew Report
Plot Cores Loss vs TimeInReportwindow,
Category:ChangetoLossQuantity:SelectCoreLossSelectNew ReportPressClose toclosereportwindow
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Calculate Avg Losses over a Time RangeInXYPlotCorrespondingtoCoreLoss,rightclickontheLegendandselect
Trace Characteristics > AddInAddTraceCharacteristicswindow,
Category:MathFunction:AvgChangetheRangefromFulltoSpecifiedStartofRange:80 msEndofRange:100 msSelectAdd andDone
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Create Flux Density PlotTo Plot Flux Density on Core
DoubleclickonMaxwell2DDesign1 inProjectManagerwindowtoexitPlotview
SelectthesheetCore fromthehistorytreeSelectthemenuitemMaxwell 2D > Fields > Fields > B > Mag_BInCreateFieldPlotwindow,
PressDone
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Maxwell v14
To Animate the PlotSelectthemenuitemMaxwell 2D > F ields > An imateInSetupAnimationwindow,
SweepVariable:TimeSelectvalues:Selectthetimerangefrom0.0805s to0.087sPressOK
AnAnimationwindowwillpopupwhichwillenabletostart,stop,pausethe
animation.Animationspeedcanalsobevariedusingsamewindow.The
animationcanbealsoexportedinGIForAVIformatusingExportbutton
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