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Chapter6

SpaceVectorAnalysisofPermanentMagnetSynchronousMotors車用驅動電機原理與控制基礎(第2版)PrincipleandControlFundamentalsofVehicleDriveMotors26.1PMSMRotorStructureandPhysicalModelPlug-inpermanentmagnetsynchronousmotor(PMSM)embedsorencapsulatesthepermanentmagnetswithintherotorcore,enhancingreliabilityandenablinghigheroperatingspeeds.Specifically,duetothefactthatthepermeabilityofthepermanentmagnetmaterialisclosetothatofvacuum,theairgapintheplug-inPMSMwithaninsertedrotorstructureisnon-uniform,resultingina“salientpole”structurefortherotor.Thisgeneratesreluctancetorque,whichcanimprovethetorque-to-currentratioofthePMSMmotor.Withthesametorquerequirements,itreducestheexcitationfluxofthepermanentmagnet,therebyreducingthevolumeofthepermanentmagnet.Thisisbeneficialforweakmagneticfieldoperations,extendingthespeedrange,andreducingcosts.Therefore,theplug-inPMSMispredominantlyusedinautomotivePMSMmotors.Fig.6-1Surfacemountedrotorstructure

Fig.6-2Plug-inrotorstructure36.1.1PhysicalModelofSurfaceMountedPMSMMotorTakingthecounterclockwisedirectionasthepositivedirectionoftherotationalspeedandelectromagnetictorque.

Forasurface-mountedrotorstructure,sincethepermeabilityinsidethepermanentmagnetsisverysmall,closetotheair,thepermanentmagnetsplacedonthesurfaceoftherotorcanbeequivalenttoexcitationwindingsplacedintherotorslots.Itisassumedthatthesinusoidalmagneticfieldproducedbytheexcitationwindingintheairgapisthesameasthesinusoidaldistributionmagneticfieldproducedbythetwopermanentmagnets.a)Structurediagramb)

RotorequivalentexcitationwindingFig.6-3Physicalmodeloftwo-polesurfacemountedPMSM

46.1.2PhysicalModelofPlug-inPMSMMotorFig.6-3Structurediagramandequivalencephysicalmodelandoftwo-poleplug-inPMSMc)Physicalmodel

b)

Rotorequivalentexcitationwindinga)Structurediagram56.1.3EquivalentUnifiedMotorModelofPMSMFig.6-5Equivalentfour-coilunifiedmotormodelofPMSM

66.2StatorFluxLinkageandVoltageEquations6.2.1Statorfluxlinkagevector

76.2.1Statorfluxlinkagevector

86.2.2StatorVoltageEquation

96.2.3DecompositionofVoltageVectorEquationinSynchronousCoordinateSystem

Fig.6-6ThesynchronousrotatingDQcoordinatesystem

106.2.3DecompositionofVoltageVectorEquationinSynchronousCoordinateSystem

11Fig.6-8SteadystatevectordiagramofsurfacemountedPMSM

6.2.3DecompositionofVoltageVectorEquationinSynchronousCoordinateSystem126.3PMSM

TorqueEquation6.3.1TorqueEquation

136.3.1TorqueEquation

14Fig.6-10Characteristiccurvesoftheconstanttorqueonthecurrentphaseplane

6.3.1TorqueEquation156.3.2ConstantTorqueCurveandMTPAFig.6-11ThestatorcurrentvectortrajectoryfortheMTPA

16Fig.6-13CurrentLimitCircleandMTPACurve

Fig.6-12Torque-anglecharacteristicsunderdifferentcurrentamplitudes6.3.2ConstantTorqueCurveandMTPA176.4PrincipleofField-OrientedControlforPMSM6.4.1VoltageLimitEllipseandTurningSpeed

186.4.1VoltageLimitEllipseandTurningSpeedFig.6-14VoltageLimitEllipse

196.4.1VoltageLimitEllipseandTurningSpeed

20

6.4.1VoltageLimitEllipseandTurningSpeed216.4.2FieldWeakeningControl

Fig.6-16Constanttorqueandconstantpoweroperation(externalcharacteristics)curves226.4.2FieldWeakeningControl

236.4.2FieldWeakeningControl

24

6.4.2FieldWeakeningControl25Fig.6-18ConstraintsandprinciplesofPMSMcontrol6.4.2FieldWeakeningControlTheconstanttorquecurve,currentlimitcircle,voltagelimitellipse,MTPA,andMTPVanalyzedabovecanbedisplayedonthecurrentphaseplane.266.4.2FieldWeakeningControl

Fig.6-19FieldWeakeningControlandOptimalControlofStatorCurrentFig.6-16Constanttorqueandconstantpoweroperation(externalcharacteristics)curve276.4.3TheBasicPrincipleofPMSMBrakingFig.6-20PMSMvectordiagramunderfieldorientedcontrola)Driving

286.4.3TheBasicPrincipleofPMSMBrakingb)Regenerationbraking

c)Energyconsumpt

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