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Chapter3
ElectromechanicalEnergyConversionandElectromagneticTorqueGeneration車用驅(qū)動(dòng)電機(jī)原理與控制基礎(chǔ)(第2版)PrincipleandControlFundamentalsofVehicleDriveMotors23.1ElectromagneticSystem/LinearMotorModelwithMechanicalPortsFig.2-6Freechargeinamagneticfield
3Fig.3-1Theforcesituationofanenergizedconductorinthemagneticfield
3.1ElectromagneticSystem/LinearMotorModelwithMechanicalPorts4Fig.3-2Motionsynthesisoftheelectricchargesintheenergizedconductorandforcesynthesisinthemagneticfield
3.1ElectromagneticSystem/LinearMotorModelwithMechanicalPorts5Theelectromechanicalenergyconversionofoperationprocessforthemotorismuchmorecomplicatedthanthislinearmotor.However,theelectromechanicalenergyconversionprocesshasthefollowingbasiccharacteristics:1)Lorentzforceisthemicrophysicalbasisoftheelectromechanicalenergyconversion;2)Magneticfieldisanimportantmediatorintheelectromechanicalenergyconversion,butmagneticenergydoesnotnecessarilyincreaseordecrease;3)Theelectromechanicalenergyconversionmusthavetwoenergycouplingports:mechanicalportandelectricalport.Thereshouldbe“potentialquantities”actingontheports:themechanicalportisforceortorque,andtheelectricalportiselectricpotentialorelectricfield;4)Theinducedelectromotiveforceisanecessaryconditionforobtainingorreturningelectricalenergyfromelectricalports.Notethatinthiscase,itisassumedthatthemagneticfieldisconstantandtheinfluenceofthemagneticfieldaroundtheenergizedconductorisignored.Thiscasedoesnotreflecttheactualoperatingconditionsofthemotor.Inreality,thereisanarmaturereactionprocessinthemotor,wheretheairgapmagneticfieldisthecompositemagneticfieldofthearmaturefieldandtherotorfield.3.1ElectromagneticSystem/LinearMotorModelwithMechanicalPorts63.2EnergyStorageintheElectromagneticSystem:MagneticEnergyandMagneticCoenergy
Fig.3-3Separatingthelossesmakesthesystema“magneticenergystoragesystemwithoutlosses”Port
MechanicallossLosslessMagneticEnergyStorageSystem73.2.2MagneticEnergyandMagneticCoenergyFig.3-4Ironcorewithdoublecoilexcitation
83.2.2MagneticEnergyandMagneticCoenergy
93.2.2MagneticEnergyandMagneticCoenergy
Fig.3-6Integrationpathofmagneticenergy103.2.2MagneticEnergyandMagneticCoenergy
113.3GenerationandUnifiedExpressionofElectromagneticTorque
Fig.3-7Electromechanicaldeviceswithstatorandrotorwindingsandairgaps123.3GenerationandUnifiedExpressionofElectromagneticTorque
133.3GenerationandUnifiedExpressionofElectromagneticTorque
143.3GenerationandUnifiedExpressionofElectromagneticTorque
Fig.3-8GenerationofreluctancetorqueFig.3-9Variationcurveofstatorwindingself-inductance153.3GenerationandUnifiedExpressionofElectromagneticTorqueFig.3-9Reluctancetorquevarieswithrotorposition
Fig.3-8Generationofreluctancetorque
16Faraday‘sLawofElectromagneticInduction(fromMagnetic
→
Electricity)Faraday'sLawofElectromagneticInduction:Thephenomenonofelectromagneticinductionreferstothegenerationofaninducedelectromotiveforce(EMF)duetothechangeofmagneticflux.ThedirectionoftheinducedemfinFaraday'sLawofElectromagneticInductioncanbedeterminedbyLenz'sLaw:Theinducedcurrent'smagneticfieldopposesthechangeintheoriginalmagneticflux.
Mechanicalsystem(singlemass)
ElectromagneticsystemNewton'sFirstandSecondLawsofMotion:Newton'sFirstLawofMotion,alsoknownastheLawofInertia.Itisstatedasfollows:Anobjectwillremaininmotionoratrest,unlessacteduponbyanexternalforce.Newton'sSecondLawofMotion:Theaccelerationofanobjectisdirectlyproportionaltothenetforceactingonit,isinthesamedirectionasthenetforce,andisinverselyproportionaltotheobject'smass.ForceisthecauseofchangesinmotionVoltageandthechangeoffluxlinkagearemutuallycausal17ThePrincipleofElectromechanicalEnergyConversionofMotorsMaxwellappliedtheLagrangianmethodtodescribethedynamicsofelectromechanicalcoupledsystems.Hederivedthesystem'sequationsofmotionfromthefundamentallawsofmechanicsandelectromagnetics,resultinginthe“Lagrangian-Maxwellequations”.
Lagrangian-Maxwellequations:Mechanicalsystem(singlemass)Electromagneticsystem18
Fig.3-12electromagnet3.4TheDefinationofSpaceVector19
3.4TheDefinationofSpaceVector20Fig.4-11a)Themagneticfieldgeneratedbythefullpitchcoil
TheCompositeFluxLinkageWaveofOrthogonalTwo-phaseWindings21Fig4-11b)Thewavefunctionofmagnetomotiveforceforfullpitchcoil
TheCompositeFluxLinkageWaveofOrthogonalTwo-phaseWindings22
TheCompositeFluxLinkageWaveofOrthogonalTwo-phaseWindings23
TheCompositeFluxLinkageWaveofOrthogonalTwo-phaseWindings24Fig.4-16Three-phasefundamentalwavesatdifferenttimesFig.4-17rotatingmagnetomotiveforcewave
TheCompositeFluxLinkageWaveofOrthogonalTwo-phaseWindings25Fig.4-18Thespacecomplexplanecorrespondingtotheaxialcross-sectionofthemotor
TheCompositeFluxLinkageWaveofOrthogonalTwo-phaseWindings26TheCompositeFluxLinkageWaveofOrthogonalTwo-phaseWindings
27Fig.4-21Thecurrentvectorsofstatorandrotorareequivalenttothe"axiscoil“currentvectors
TheCompositeFluxLinkageWaveofOrthogonalTwo-phaseWindings28Fig.4-20Thestatormagnetomotiveforcevectoranditsmovingtrajectory
Fig.4-22Thecosine-distributedmagneticfieldgeneratedbytheA-phasewindinga)Cosine-distributedMMFwaveb)Expandingofcosine-distributedmagneticfieldTheCompositeFluxLinkageWaveofOrthogonalTwo-phaseWinding293.5VectorExpressionofElectromagneticTorqueFig.4-27Synthesisofstatorandrotormagnetomotiveforcespacevector
30Fig.4-27Synthesisofstatorandrotormagnetomotiveforcespacevector
3.5VectorExpressionofElectromagneticTorque31ElectromagneticLoadofMotors
32ElectromagneticLoadGiventhevolumeofthemotor,theelectromagneticloaddeterminesthemotor'soutputtorquecapability.Inotherwords,foradesiredoutputtorque,thelargertheelectromagneticload,thesmallerthemotorvolume.Increasingtorqueoutputcapabilitymainlydependsonthemagneticloadandelectricalload.Increasingtheelectromagneticloadisbeneficialforachievingtheminiaturizationandlightweightofthemotor.Theselectionofelectromagneticloadma
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