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1、ANSYS2011中国用户大会优秀论文OptimizationofPermanentMagnetSurfaceShapesofElectricMotorsforMinimizationofCoggingTorqueUsingFEMNingningChen,S.L.HoandW.N.FuTheHongKongPolytechnicUniversity,HungHom,Kowloon,HongKongAnovelalgorithmwhichminimizesthecoggingtorqueofsurface-mountedpermanentmagnet(SPM)brushlessmot
2、orsbyoptimizingthesurfaceprofileofPMispresented.Anefficientstrategyforusingfiniteelementmethod(FEM)isproposedtocalculatethecoggingtorqueofPMmotorswithdifferentPMshapedesigns.ComparedwiththeuseofgeneralFEM,thecomputingtimewiththisproposedmethodissignificantlyreduced,whichisonly0.017%ofthatrequi
3、redbytheformer.BecauseoftheconsiderablereductionofcomputingtimeinthemagneticfieldanalysisofPMmotors,itbecomesfeasibletousegeneticalgorithm(GA)tooptimizethePMshapeinordertorealizecoggingtorqueminimization.Anumericalexperimentisusedtovalidatetheproposedmethod.IndexTerms—Coggingtorque,finiteeleme
4、ntmethod,geneticalgorithm,magneticfield,optimization.⎛⎞1⎫∇×⎜⎟∇×A=0inironsandairgap⎪I.INTRODUCTION⎝⎠μ⎪⎬(1)URFACE-MOUNTEDpermanentmagnet(SPM)motorswith⎛⎞11⎛⎞⎪S∇×⎜⎟∇×AM=∇×⎜⎟inpermanentmagnets⎪surface-mountedmagnetsarewidelyusedinindustry.Theμμ⎝⎠PM⎝PM⎠⎭coggingtorqueisaninherentshortcominginPMmotor
5、sandwhere,Astandsforthemagneticvectorpotential,μistheitaffectsthemachinestartingperformance,producesnoisepermeabilityofthematerials,Mistheremanentfluxdensityandresultsinmechanicalvibration,thusitisnecessaryandofthePM,μPMisthepermeabilityofthePM.UsingGalerkinimportanttoreducethecoggingtorqueinP
6、Mmotors[1].Cogging-torquecanbereducedbychangingthenumberofFEM,(1)becomes:polesofthePMortheslotsofthearmaturecore[2];itcan⎛⎞1⎫⎜⎟∇×AN,∇×=0inironsandairgap⎪alsobereducedbymodifyingthedistributionoftheresidual⎝⎠μ⎪⎬(2)magneticfluxdensityofthePMortheshapeofthearmature⎛⎞11⎛⎞⎪⎜⎟∇×AN,∇×=⎜MN,∇×⎟inperman
7、entmagnetscore[3].ThemethodtochangethePMshapeasanefficientμμ⎪⎝⎠PM⎝PM⎠⎭waytoreducethecoggingtorquehasbeenreportedin[4].InwhereNistheshapefunction.Forthecomputationofcoggingtheproposedcoggingtorquereductionmethod,theairgaptorque,,thenonli
