transformer - maxwell3d v14

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  • 7/22/2019 Transformer - Maxwell3D V14

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    7.4

    Example(2D/3DTransient) CoreLoss

    14.1

    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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    Example(2D/3DTransient) CoreLoss

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    Maxwell v14

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    Example(2D/3DTransient) CoreLoss

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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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    Maxwell v14

    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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    Example(2D/3DTransient) CoreLoss

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    Maxwell v14

    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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    Maxwell v14

    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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    Maxwell v14

    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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    Maxwell v14

    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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    Maxwell v14

    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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    Maxwell v14

    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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    Maxwell v14

    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