FE研发培训-设计培训

FE研发培训,设计培训2024/3/29FE研发培训,设计培训

IntroductionBoundaryValueProblemFundamentalConceptPre-processingProcessingPost-processingParametricModeling

TopicsFE研发培训,设计培训

FEA(FiniteElementAnalysis)isawell- establishednumericalmethodofsolvingfield problems. Commercialsoftwarepackages areavailableto solvefieldproblemsinelectricalmachines, suchasthoseofsynchronousmachines.IntroductionFE研发培训,设计培训

Solutionofaboundaryvalueproblem comprisesthecalculationofthedistribution ofafunctionoveraspecifieddomain.

BoundaryValueProblemFE研发培训,设计培训

Theboundaryvalueproblemisdescribedbya governingequationandboundaryequation.

BoundaryValueProblemFE研发培训,设计培训

Dirichletboundaryequation

NeumannboundaryequationBoundaryValueProblemFE研发培训,设计培训

Fundamentalconceptof FEAisthatany continuousfunctiondefinedoveradomaincan beapproximatedbyadiscretemodelcomposed ofasetofpiecewisecontinuousfunctions definedoverafinitenumberofsubdomains.

FundamentalConceptFE研发培训,设计培训

Consideranexampleoftemperature distributioninabar.

FundamentalConceptFE研发培训,设计培训

ThecontinuousfunctionisT(x)andthe domainisOLalongx-axis.Sixpointsalongx-axisareidentified.Weshall callthesepointsasnodes.Thedomainisdividedintofiveelements.FunctionT(x)isapproximatedbyfive piecewisecontinuouslinearfunctionsdefined overasingleelement.

FundamentalConceptFE研发培训,设计培训

Thepre-processingincludesthestepsof identifyingthedomainofanalysis,derivation ofthegoverningandboundaryequationsand thedivisionofthedomainintosub-domains calledfiniteelements.

Pre-processingFE研发培训,设计培训Considerone-dimensionalbarelement.

Thevalueofafunctionovertheelementiisdefined

Pre-processingFE研发培训,设计培训

Similarly,forelementj

Pre-processingFE研发培训,设计培训

Themostcommontwo-dimensionalelementisatriangle.

Pre-processingFE研发培训,设计培训

Pre-processingFE研发培训,设计培训Thegoverningequationfor2DmagneticfieldproblemcanbederivedfromMaxwell’sequationsbydefiningapotentialfunctionA.

Aresidualisdefinedforanapproximatesolution.

Pre-processingFE研发培训,设计培训Minimizingtheweightedresidualwithrespecttoeachnodalpotential,weobtain

Substitutingfromabove,weobtain.

Pre-processingFE研发培训,设计培训UsingGreen’sidentity,weobtain.

Substituting,weobtainthefollowingequations.

Pre-processingFE研发培训,设计培训Intheprocessingstep,wesolvethesystemofequationsderivedinthepre-processingstep.

ProcessingFE研发培训,设计培训Thecoefficientmatrixforthesystemofequationsis sparseandisusuallysymmetricalalongthediagonal.Fornon-linearmagneticfieldproblems,theentriesinthecoefficientmatrixarefunctionsofpermeability.Aniterativemethod,suchas,Newton-Raphsonisusedforsolutionofthenonlinearsystemofequations.

ProcessingFE研发培训,设计培训TheprincipleoftheNewton-Raphsonmethodistoiterativelyreducethisresidualuntilitissufficientlysmall(ideallyzero).

ProcessingFE研发培训,设计培训ThecommercialsoftwarepackagesMagNetbyInfolyticaofCanadaandMagSoftbyCedretofFranceareusedbyR&DforelectromagneticFEA.AparametricmodelingtechniquehasbeenrecentlydevelopedtoautomaticallymodelsynchronousmachinesbyusingMagNet.Anexampleoftheapplicationfor4poles8500HPmotor2511DAisusedforillustration.

SoftwareFE研发培训,设计培训TherearefourmodulesforcreationofaFEmodelparametrically.

-Stator(modelstatorcore,air) -Rotor(modelrotorpole,spiderandfieldcoil) -Model(createmodelincludingallcomponents) -PhaseSET(createstatorwindingconnection)

ParametricModelingFE研发培训,设计培训Thestatormodelhasfourbuttons.Aftertheparametersareentered,eachbuttoncanbeactivatedtocompletethemodel.Thescaleisthenumberofpolestobemodeled.Thefourbuttonsare -BuildStatorCore -BuildStatorWinding -BuildAir -BuildStator

StatorModelFE研发培训,设计培训

StatorModelFE研发培训,设计培训Therotormodelhassixbuttons.Aftertheparametersareentered,eachbuttoncanbeactivatedtocompletethemodel.Thebuttonsare -BuildFieldPole -BuildAirGap -BuildShaft -BuildDamperBars -BuildCoil

RotorModelFE研发培训,设计培训

PhaseSetFE研发培训,设计培训

ModelFE研发培训,设计培训

MeshFE研发培训,设计培训

AirGapMesh(Close-up)FE研发培训,设计培训

2DFEmodelssolveforfielddistributionover amachinecross-sectionbyneglectingall fringingandendeffects,called3Deffects. Since3Dmodelingrequiresconsiderable computerprogrammingandCPUtime,itisnot yetpracticaltosolverotatingmachinetransient problemsin 3D. Toimprovecorrelationwithtestresults,itis essentialtoincludethe3Deffects.

3DEffectsModelingFE研发培训,设计培训

3Deffectsincludestackingofcore laminations,ventilationairductsfringingflux andpoleandstatorendleakageflux. Somemethodstoinclude3DeffectsinFE modelshavebeendeveloped.

3DEffectsModelingFE研发培训,设计培训

3DEffectsModelingLdwFEsolutionregionFFE研发培训,设计培训

Figureshowsamagneticcircuitinwhichflux F,widthwanddepthdareintheplaneofthe FEsolutionregion,andtheaxiallengthLis perpendiculartotheplaneoftheFEsolution domain. ThepermeancePofthismagneticcircuit

P=mwL/d

3DEffectsModelingFE研发培训,设计培训

ThepermeancePmodofacircuitcomponentin theFEmodelhastobeidenticalwiththeactual permeancePactofthiscomponent

Pact=mactwactLact/dact

Pmod=mmodwmodLmod/dmod WidthanddepthoftheFEmodelagreewith theactualdimensions,whichgivesthescaling equationforthepermeabilitymmod

mmod=mactLact/Lmod=mactfstack

3DEffectsModelingFE研发培训,设计培训

ThescaledpermeabilityisusedintheFE modelbyscalingtheactualB(H)characteristic ofthesteelmaterialineachregionbythe stackingfactor

Hmod=Hact,Bmod=Bactfstack Thefieldsolutionsobtainedusingthis “equivalent”FEmodelarescaledbacktothe actualfluxdensities

Bact=Bmod/fstack

3DEffectsModelingFE研发培训,设计培训

Theductfringingfluxandendleakageflux effectscanbemodeledinastaticmodelto obtaintheleakagecorrectionfactors

3DEffectsModelingFE研发培训,设计培训

FieldSolutionFE研发培训,设计培训OCSolutionat120%RatedVoltage

FE研发培训,设计培训Engineeringparametersofinterestcanbederivedbypost-processingofthefieldsolution.Thesoftwarepost-processinghasmanyoptionstocalculatethedesiredquantities.Thecalculatedquantitiescanbeexportedtoexcelspreadsheetforadditionaldataanalysis.

Post-processingFE研发培训,设计培训

GraphicalPlottingFE研发培训,设计培训OCSaturation

FE研发培训,设计培训 Inintegralslotmachinesthegeometryandthe magneticfielddistributionsrepeateverypolepitch, anditis,therefore,sufficienttoperformthefield analysisusingjustonepolepitch.

Infractionalslotmachinesthestatorcoilsdonot repeateverypolepitch,butonlyaftermultiplepole pitchesdependingonthecoilpattern.

FractionalSlotMachinesFE研发培训,设计培训

InawindingcharacterizedbyA+B/Cslotsperpole perphase,thewindingpatternandmagneticfields repeatonlyafterCpolepitches. Therefore,Cpolepitcheshavetobemodeled, whichresultsinlargeFEmodelsandlong simulationtimes.

FractionalSlotMachinesFE研发培训,设计培训

Theperiodicityofthemagneticfieldsisutilizedto reducetheFEmodelwithperiodicboundary conditionsforthemagneticvectorpotentialA.

Thevectorpotentialofthenodesontheleftradialboundaryhasthesamemagnitudeasthepotentialofthecorrespond