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Chapter6
SpaceVectorAnalysisofPermanentMagnetSynchronousMotors车用驱动电机原理与控制基础(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)EnergyconsumptionbrakingFig.6-20PMSMvectordiagramunderfieldorientedcontrol
Chapter6
SpaceVectorAnalysisofPermanentMagnetSynchronousMotors车用驱动电机原理与控制基础(第2版)PrincipleandControlFundamentalsofVehicleDriveMotorsChapter7
SpaceVectorDescriptionandFieldOrientedControlofInductionMotors车用驱动电机原理与控制基础(第2版)PrincipleandControlFundamentalsofVehicleDriveMotorsa)
squirrelcagewindingb)
RotorstructureofwoundwindingFig.7-1Schematicdiagramofrotorstructureofinductionmotor317.1TheRotorStructureandWorkingPrincipleofIMThestatorstructureoftheinductionmotorisbasicallythesameasthatofthesynchronousmotor.Themaindifferenceliesintherotorstructureandthegenerationprincipleoftherotormagneticfield.Therotorstructureofinductionmotor(IM)mainlyincludestwoparts:rotorironcoreandrotorwinding.Thecommonwindingtypesaresquirrelcagetypeandwoundtype.1.SquirrelcagewindingAsquirrel-cagewindingisaself-closingshort-circuitwinding.Itconsistsofabarinsertedintoeachrotorslotandannularendringsatbothends.Iftheironcoreisremoved,theentirewindingislikea“circularsquirrelcage”.2.WoundwindingTheslotofthewoundrotorisembeddedwithathree-phasewindingcomposedofinsulatedwires.Thethreeoutgoingwiresofthewindingareconnectedtothethreecollectorringsmountedontheshaft,andareconnectedtotheexternalcircuitthroughbrushes.Thefeatureofthisrotoristhatanexternaladjustableresistorcanbeconnectedtotherotorwindingtoimprovethestartingandspeedregulationperformanceofthemotor.327.1.2WorkingPrincipleofThree-phaseIMThestatorisathree-phasesymmetricalwinding,anditsstructureisthesameasthatofathree-phasesynchronousmotor.Atthesametime,therotorisalsoequivalenttothree-phasesymmetricalwindingsa-x,b-yandc-z,andtheyareshort-circuited,thusformingabasicthree-phaseinductionmotor
Fig.7-2aTheequivalentphysicalmodelofthe
three-phaseinductionmotor33
7.1.2WorkingPrincipleofThree-phaseIM347.1.3Stator,RotorandMagneticFieldSynchronousCoordinateSystems
Table7-1Therepresentationandtransformationrelationshipsofcurrentvectorsinthreecoordinatesystems357.2VectorsEquationofIM7.2.1Stator/RotorInductanceandFluxLinkageofIM
Fig.7-3Theequivalentfour-coilprototypemotormodelofIM367.2.1Stator/RotorInductanceandFluxLinkageofIMFig.7-4Thestator/rotorcurrent,andrespectivefluxlinkagevectorsofthethree-phaseIM377.2.2SpaceVectorEquationsunderStationaryReferenceFrame
38
7.2.3SpaceVectorEquationsunderRotor-fixedabcReferenceFrame397.2.4SpaceVectorEquationunderArbitraryMagneticFieldSynchronousRotatingMTReferenceFrame
40
7.2.4SpaceVectorEquationunderArbitraryMagneticFieldSynchronousRotatingMTReferenceFrame41
7.2.4SpaceVectorEquationunderArbitraryMagneticFieldSynchronousRotatingMTReferenceFrame42
7.2.4SpaceVectorEquationunderArbitraryMagneticFieldSynchronousRotatingMTReferenceFrame43Fig.7-5Steady-statevectordiagramofthethree-phaseIM7.2.4SpaceVectorEquationunderArbitraryMagneticFieldSynchronousRotatingMTReferenceFrame447.3RotorMagneticFieldEstablishmentProcessandItsOrientationFig.7-6Therotormagneticfieldisrepresentedasthecombinationoftheair-gapmagneticfieldandtherotorleakagemagneticfield
457.3RotorMagneticFieldEstablishmentProcessandItsOrientationFig.7-6Therotormagneticfieldisrepresentedasthecombinationoftheair-gapmagneticfieldandtherotorleakagemagneticfield
467.3.1Rotort-axisMagnetomotiveForceInducedbyMotionalElectromotiveForceFig.7-7Therotorequivalentcurrentvectorwhentherotormagneticfieldamplitudeisconstanta)Rotormagnetomotiveforcevectorformedbyrotorbarcurrent
b)Thespatialdistributionofmotionalelectromotiveforceandcurrentmagnitudeintheconductor47Fig.7-8
Therotorequivalentcurrentvectorwhentheamplitudeoftherotormagneticfieldisconstanta)Themagnetomotiveforcevectorsoftherotorcoilcurrentsandtheirsynthesisb)Theequivalentexcitationcurrentatt-axis
7.3.1Rotort-axisMagnetomotiveForceInducedbyMotionalElectromotiveForce
48Fig.7-9RotorcurrentvectorwhenrotormagneticfieldamplitudechangesDuringthedynamicoperationofthemotor,iftheamplitudeoftherotormagneticfieldchanges,transformerelectromotiveforcewillbeinducedineachrotorbar.AtthemomentshowninFig.7-9a,iftheamplitudeoftherotormagneticfieldisincreasing,accordingtoLenz'slaw,theelectromotiveforceineachbarwillbeshowninFig.7-9a.
7.3.1Rotorm-axisMagnetomotiveForceInducedbyInducedElectromotiveForcea)Rotorcurrentandrotormagnetomotiveforceb)Spatialdistributionoftransformerelectromotiveforceandcurrentmagnitudeinthebar497.3.3DefinitionandCharacteristicsofRotorMagneticField-OrientedCoordinateSystemFig.7-11RotorcagewindingisequivalenttoMTaxiscoilFig.7-12MagneticfieldorientedMTcoordinatesystem
507.3.4StatorandRotorFluxLinkageEquation
517.3.6StatorandRotorVoltageEquations
527.3.6StatorandRotorCurrentEquations
537.3.6StatorandRotorCurrentEquations
547.3.6StatorandRotorCurrentEquationsFig.7-13Vectordiagramofmagneticfluxandcurrentforathree-phaseinductionmotorafterfieldorientation
a)Dynamicvectordiagramoffluxlinkageandcurrent557.3.7TorqueEquation
56
7.3.7TorqueEquation577.3.7TorqueEquation
587.4PrincipleofVectorControlbasedonCurrentPhasePlane7.4.1ControlConstraints
597.4.1ControlConstraintsonCurrentPhasePlane
607.4.1ControlConstraintsonCurrentPhasePlane
Fig.7-18Thediagramsofcontrolconstraintsandcontrollawforinductionmotor617.4.1ControlConstraintsonCurrentPhasePlane
627.4.2FieldWeakeningControlProcessonCurrentPhasePlaneFig.7-19OperatingregionoftheinductionmotoracrossthefullspeedrangeThefieldweakeningcontroloftheinductionmotorshouldaimforthemaximumtorqueoutput,takingintoaccounttheconstraintsofvoltageandcurrenttoallocatethecurrentreasonably.Duetothesevoltageandcurrentconstraints,theeffectivetorqueoutputoftheinductionmotordecreasesinthefieldweakeningregion.Tofullyutilizethemaximumtorquecapabilityofthedrivesystemundervoltageandcurrentlimitations,themostrationalutilizationofvoltageandcurrentisrequired.Theoperatingspeedrangeofaninductionmotorcanbedividedintothreeregions:constanttorqueregion,constantpowerregion,andconstantvoltager
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