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1、IEEETRANSACTIONSONMAGNETICS,VOL.42,NO.4,APRIL20061051AGeneralCosimulationApproachforCoupledFieldCircuitProblemsP.Zhou,D.Lin,W.N.Fu,B.Ionescu,andZ.J.Cendes,Fellow,IEEEAnsoftCorporation,Pittsburgh,PA15219USAAnindirectproceduretocoupletransientfinite-elementsimulationwithcir
2、cuitsimulationisproposed.TheprocedureisbasedonextractinglumpedparametersfromthefieldsimulationandNortonequivalentsfromthecircuitsimulation.Thisapproachprovidesmorestabilityandaccuracybecausebothwindingcurrentsandterminalvoltagesacrosscouplingbranchesarefreetochange.Itisal
3、somoreflexiblesincethefinite-elementequationsandthecircuitequationsaresolvedseparatelyandallowscomplicatedsystemlevelsimulation.IndexTerms—Circuitsimulator,directcoupling,fieldsimulator,finite-elementanalysis(FEA),indirectcoupling,magneticdevices.I.INTRODUCTIONthepossibility
4、ofsupportingsystem-levelsimulation,includingFEA,circuits,statemachines,andblockdiagrams.WOBASICapproachestocouplefinite-elementanalysisInthefollowing,wefirstexplorethecouplingmechanism.T(FEA)withcircuitsimulationexist.Oneisthedirectcou-Thenwediscussthekeyissueoftheprocedur
5、e:howtoextractplingapproach[1][3],wherethefieldandcircuitequationsthelumpedfieldcouplingparametersandtheNortonequivalentarecoupleddirectlytogetherandsolvedsimultaneously.Thecircuitparameters.Finally,weshowthreeapplicationexamples.otherapproachiscosimulationbyindirectcoupli
6、ngwheretheFEAandcircuitsimulatoraretreatedasseparatesystemsinatime-steppingprocess,whiletheyexchangecouplingcoeffi-cientsineachstep[4],[5].IndirectcouplingbecomesattractiveII.COUPLINGMECHANISMwhenthetimeconstantsinthefielddomainandinthecircuitConsiderFEAattimebasedonthefiel
7、dtimestep.domaindiffersignificantlyfromeachother.ItalsomakestheFromthefieldsolutions,foreachcouplingwinding,extractanddevelopmentofindividualsimulatorsmoreefficientandeasiersendthecouplinginductancematrixandinducedvoltagesto-tousebytheexpertsinthedifferentfields.getherwithth
8、ewindingcurrentstothecircuitsimulator.UseAcommonmechanismforindirectcouplingistousesourcesthesecoupling