永磁同步电机最大转矩电流比控制

永磁同步电机最大转矩电流比控制一、本文概述Overviewofthisarticle随着能源危机和环境污染问题的日益严重，高效、环保的电机驱动系统成为了现代工业领域的研究热点。永磁同步电机（PMSM）作为一种高性能的电机类型，因其高效率、高功率密度和良好的调速性能而被广泛应用于电动汽车、风力发电、机床设备等领域。然而，为了充分发挥永磁同步电机的性能优势，有效的控制策略是至关重要的。本文着重研究永磁同步电机的最大转矩电流比（MTPA）控制策略，旨在实现电机的高效、稳定运行。Withtheincreasingseverityofenergycrisisandenvironmentalpollution,efficientandenvironmentallyfriendlymotordrivesystemshavebecomearesearchhotspotinthemodernindustrialfield.Permanentmagnetsynchronousmotor(PMSM),asahigh-performancemotortype,iswidelyusedinfieldssuchaselectricvehicles,windpowergeneration,andmachineequipmentduetoitshighefficiency,highpowerdensity,andgoodspeedregulationperformance.However,inordertofullyleveragetheperformanceadvantagesofpermanentmagnetsynchronousmotors,effectivecontrolstrategiesarecrucial.Thisarticlefocusesonthemaximumtorquetocurrentratio(MTPA)controlstrategyofpermanentmagnetsynchronousmotors,aimingtoachieveefficientandstableoperationofthemotor.最大转矩电流比控制是一种优化电机运行性能的控制方法，它通过调整电机的电流矢量，使得电机在相同电流幅值下产生最大的转矩输出。这种控制策略不仅能够提高电机的动态性能，还能在一定程度上降低电机的铜耗，从而提高整体效率。本文将从永磁同步电机的数学模型出发，详细阐述最大转矩电流比控制的基本原理和实现方法，并通过仿真和实验验证其有效性和优越性。Themaximumtorquecurrentratiocontrolisacontrolmethodthatoptimizestheoperatingperformanceofamotor.Itadjuststhecurrentvectorofthemotortoproducethemaximumtorqueoutputunderthesamecurrentamplitude.Thiscontrolstrategycannotonlyimprovethedynamicperformanceofthemotor,butalsotosomeextentreducethecopperconsumptionofthemotor,therebyimprovingtheoverallefficiency.Thisarticlewillstartfromthemathematicalmodelofpermanentmagnetsynchronousmotor,elaboratingindetailthebasicprincipleandimplementationmethodofmaximumtorquecurrentratiocontrol,andverifyingitseffectivenessandsuperioritythroughsimulationandexperiments.通过本文的研究，可以为永磁同步电机的高效、稳定运行提供有力的理论支撑和技术指导，推动其在新能源、工业自动化等领域的广泛应用。本文的研究成果也可以为其他类型电机的优化控制提供有益的参考和借鉴。Throughtheresearchinthisarticle,strongtheoreticalsupportandtechnicalguidancecanbeprovidedfortheefficientandstableoperationofpermanentmagnetsynchronousmotors,promotingtheirwidespreadapplicationinnewenergy,industrialautomationandotherfields.Theresearchresultsofthisarticlecanalsoprovideusefulreferencesandinsightsfortheoptimizationcontrolofothertypesofmotors.二、永磁同步电机基础知识Basicknowledgeofpermanentmagnetsynchronousmotors永磁同步电机（PermanentMagnetSynchronousMotor,PMSM）是一种将电能转换为机械能的设备，其工作原理基于电磁感应和磁场相互作用。PMSM的特点在于其转子上装有永磁体，这些永磁体在电机运行时产生恒定的磁场，与定子上的电磁场相互作用，从而实现电机的旋转。PermanentMagnetSynchronousMotor(PMSM)isadevicethatconvertselectricalenergyintomechanicalenergy,anditsworkingprincipleisbasedonelectromagneticinductionandmagneticfieldinteraction.ThecharacteristicofPMSMisthatitisequippedwithpermanentmagnetsonitsrotor,whichgenerateaconstantmagneticfieldduringmotoroperationandinteractwiththeelectromagneticfieldonthestatortoachievemotorrotation.PMSM的基本结构包括定子、转子和气隙。定子通常由多相绕组构成，这些绕组在通电时产生旋转磁场。转子则是由永磁体、转轴和其他支撑结构组成，永磁体产生的磁场与定子磁场相互作用，推动转子旋转。气隙是定子和转子之间的间隙，它对于电机的性能和效率有着重要影响。ThebasicstructureofPMSMincludesstator,rotor,andairgap.Thestatorisusuallycomposedofmultiphasewindings,whichgeneratearotatingmagneticfieldwhenenergized.Therotoriscomposedofapermanentmagnet,ashaft,andothersupportingstructures.Themagneticfieldgeneratedbythepermanentmagnetinteractswiththestatormagneticfield,drivingtherotortorotate.Theairgapisthegapbetweenthestatorandrotor,whichhasasignificantimpactontheperformanceandefficiencyofthemotor.PMSM的运行特性受多种因素影响，包括电机的极数、绕组配置、永磁体类型和尺寸等。PMSM的转矩和电流之间存在一定的关系，这种关系对于电机的控制策略至关重要。在实际应用中，为了实现电机的最优控制，需要深入了解PMSM的基本工作原理和特性。TheoperatingcharacteristicsofPMSMareinfluencedbyvariousfactors,includingthenumberofpolesofthemotor,windingconfiguration,typeandsizeofpermanentmagnets,etc.ThereisacertainrelationshipbetweenthetorqueandcurrentofPMSM,whichiscrucialforthecontrolstrategyofthemotor.Inpracticalapplications,inordertoachieveoptimalcontrolofmotors,itisnecessarytohaveadeepunderstandingofthebasicworkingprinciplesandcharacteristicsofPMSM.最大转矩电流比控制是一种有效的PMSM控制策略，它通过优化电机的转矩和电流之间的关系，实现电机的高效、稳定运行。这种控制策略的应用范围广泛，包括电动汽车、风力发电、工业自动化等领域。ThemaximumtorquecurrentratiocontrolisaneffectivePMSMcontrolstrategythatoptimizestherelationshipbetweenmotortorqueandcurrenttoachieveefficientandstableoperationofthemotor.Thiscontrolstrategyhasawiderangeofapplications,includingelectricvehicles,windpowergeneration,industrialautomation,andotherfields.在深入研究最大转矩电流比控制之前，对PMSM的基础知识有全面、深入的了解是非常必要的。这有助于我们更好地理解控制策略的原理和实现方式，从而在实际应用中取得更好的效果。Itisnecessarytohaveacomprehensiveandin-depthunderstandingofthebasicknowledgeofPMSMbeforedelvingintothecontrolofmaximumtorquecurrentratio.Thishelpsustobetterunderstandtheprinciplesandimplementationmethodsofcontrolstrategies,therebyachievingbetterresultsinpracticalapplications.三、最大转矩电流比控制原理Principleofmaximumtorquecurrentratiocontrol最大转矩电流比控制是一种优化的电机控制策略，旨在提高永磁同步电机（PMSM）的效率和性能。其核心思想是在保证电机输出转矩不变的前提下，通过调整电机的电流，使得电机内部的铜耗达到最小。这种控制策略不仅有助于提高电机的效率，还可以降低电机运行时的温度，延长电机的使用寿命。Maximumtorquecurrentratiocontrolisanoptimizedmotorcontrolstrategyaimedatimprovingtheefficiencyandperformanceofpermanentmagnetsynchronousmotors(PMSMs).Thecoreideaistominimizethecopperlossinsidethemotorbyadjustingitscurrentwhileensuringthattheoutputtorqueofthemotorremainsconstant.Thiscontrolstrategynotonlyhelpstoimprovetheefficiencyofthemotor,butalsoreducesthetemperatureduringmotoroperationandextendstheservicelifeofthemotor.最大转矩电流比控制原理基于电机转矩和电流之间的关系。在PMSM中，转矩是由电机内部的磁场和电流相互作用产生的。通过调整电机的电流大小和相位，可以改变电机内部的磁场分布，从而控制电机的转矩输出。在最大转矩电流比控制策略中，通过优化电流的大小和相位，使得电机在输出给定转矩时所需的电流最小。Theprincipleofmaximumtorquecurrentratiocontrolisbasedontherelationshipbetweenmotortorqueandcurrent.InPMSM,torqueisgeneratedbytheinteractionbetweenthemagneticfieldandcurrentinsidethemotor.Byadjustingthecurrentandphaseofthemotor,theinternalmagneticfielddistributionofthemotorcanbechanged,therebycontrollingthetorqueoutputofthemotor.Inthemaximumtorquetocurrentratiocontrolstrategy,thesizeandphaseofthecurrentareoptimizedtominimizetherequiredcurrentforthemotortooutputagiventorque.实现最大转矩电流比控制的关键在于准确控制电机的电流。这通常需要通过复杂的控制算法和精确的电流传感器来实现。控制算法需要根据电机的运行状态和所需的转矩输出，计算出最优的电流大小和相位，并将这些值传递给电流控制器。电流控制器则负责根据这些值调整电机的电流，以实现最大转矩电流比控制。Thekeytoachievingmaximumtorquecurrentratiocontrolistoaccuratelycontrolthecurrentofthemotor.Thisusuallyrequirescomplexcontrolalgorithmsandprecisecurrentsensorstoachieve.Thecontrolalgorithmneedstocalculatetheoptimalcurrentsizeandphasebasedontheoperatingstatusofthemotorandtherequiredtorqueoutput,andtransmitthesevaluestothecurrentcontroller.Thecurrentcontrollerisresponsibleforadjustingthemotor'scurrentbasedonthesevaluestoachievemaximumtorquecurrentratiocontrol.最大转矩电流比控制还需要考虑电机的动态性能。在电机运行过程中，由于负载变化和其他因素的影响，电机的运行状态可能会发生变化。因此，最大转矩电流比控制需要能够快速响应这些变化，并实时调整电流控制策略，以确保电机始终运行在最优状态。Themaximumtorquecurrentratiocontrolalsoneedstoconsiderthedynamicperformanceofthemotor.Duringtheoperationofthemotor,theoperatingstatusofthemotormaychangeduetochangesinloadandotherfactors.Therefore,themaximumtorquecurrentratiocontrolneedstobeabletoquicklyrespondtothesechangesandadjustthecurrentcontrolstrategyinreal-timetoensurethatthemotoralwaysoperatesintheoptimalstate.最大转矩电流比控制是一种有效的电机控制策略，可以提高PMSM的效率和性能。通过优化电流的大小和相位，可以实现电机在输出给定转矩时所需的电流最小，从而降低铜耗、提高电机效率，并延长电机的使用寿命。这种控制策略还需要考虑电机的动态性能，以确保电机在不同运行状态下都能保持最优性能。ThemaximumtorquecurrentratiocontrolisaneffectivemotorcontrolstrategythatcanimprovetheefficiencyandperformanceofPMSM.Byoptimizingthesizeandphaseofthecurrent,itispossibletoachievetheminimumcurrentrequiredforthemotortooutputagiventorque,therebyreducingcopperconsumption,improvingmotorefficiency,andextendingtheservicelifeofthemotor.Thiscontrolstrategyalsoneedstoconsiderthedynamicperformanceofthemotortoensurethatitcanmaintainoptimalperformanceunderdifferentoperatingstates.四、最大转矩电流比控制策略Maximumtorquecurrentratiocontrolstrategy最大转矩电流比控制策略是一种针对永磁同步电机的高效控制方法，旨在实现电机在给定电流下的最大转矩输出。这种控制策略不仅有助于提高电机的动态性能，还能在一定程度上提升电机的运行效率。Themaximumtorquecurrentratiocontrolstrategyisanefficientcontrolmethodforpermanentmagnetsynchronousmotors,aimedatachievingthemaximumtorqueoutputofthemotoratagivencurrent.Thiscontrolstrategynotonlyhelpstoimprovethedynamicperformanceofthemotor,butalsotosomeextentenhancestheoperationalefficiencyofthemotor.在最大转矩电流比控制策略中，电机电流被优化以最大化电机的电磁转矩。这通常通过调整电机的d轴和q轴电流来实现。在dq旋转坐标系下，电机的电磁转矩与d轴和q轴电流之间的关系可以通过电机的转矩方程来描述。通过求解这个方程，可以找到在给定电流限制下使转矩最大化的d轴和q轴电流的最优组合。Inthemaximumtorquecurrentratiocontrolstrategy,themotorcurrentisoptimizedtomaximizetheelectromagnetictorqueofthemotor.Thisisusuallyachievedbyadjustingthed-axisandq-axiscurrentsofthemotor.Inthedqrotatingcoordinatesystem,therelationshipbetweentheelectromagnetictorqueofthemotorandthed-axisandq-axiscurrentscanbedescribedbythetorqueequationofthemotor.Bysolvingthisequation,theoptimalcombinationofd-axisandq-axiscurrentsthatmaximizetorqueunderagivencurrentlimitcanbefound.最大转矩电流比控制策略的实现通常涉及到对电机控制算法的修改和优化。一种常用的方法是在电机的控制算法中引入一个优化算法，如梯度下降法或遗传算法，以找到最优的d轴和q轴电流组合。同时，还需要对电机的电流限制进行适当的调整，以确保电机在运行时不会超过其最大电流限制。Theimplementationofthemaximumtorquecurrentratiocontrolstrategyusuallyinvolvesmodifyingandoptimizingthemotorcontrolalgorithm.Acommonmethodistointroduceanoptimizationalgorithm,suchasgradientdescentorgeneticalgorithm,intothecontrolalgorithmofthemotortofindtheoptimalcombinationofd-axisandq-axiscurrents.Atthesametime,itisnecessarytomakeappropriateadjustmentstothecurrentlimitofthemotortoensurethatitdoesnotexceeditsmaximumcurrentlimitduringoperation.除了优化电机的电流分配外，最大转矩电流比控制策略还可以结合其他控制方法，如弱磁控制或速度控制，以实现更复杂的控制目标。例如，在需要提高电机高速运行时的性能时，可以结合弱磁控制来扩大电机的恒功率运行范围。在需要精确控制电机速度时，可以结合速度控制来实现对电机速度的精确调节。Inadditiontooptimizingthecurrentdistributionofthemotor,themaximumtorquecurrentratiocontrolstrategycanalsobecombinedwithothercontrolmethods,suchasweakmagneticcontrolorspeedcontrol,toachievemorecomplexcontrolobjectives.Forexample,whenitisnecessarytoimprovetheperformanceofthemotorduringhigh-speedoperation,weakmagneticcontrolcanbecombinedtoexpandtheconstantpoweroperatingrangeofthemotor.Whenprecisecontrolofmotorspeedisrequired,speedcontrolcanbecombinedtoachievepreciseadjustmentofmotorspeed.最大转矩电流比控制策略是一种有效的永磁同步电机控制方法，它通过优化电机的电流分配来实现最大转矩输出，提高了电机的动态性能和运行效率。在实际应用中，这种控制策略可以与其他控制方法相结合，以满足更复杂的控制需求。Themaximumtorquecurrentratiocontrolstrategyisaneffectivecontrolmethodforpermanentmagnetsynchronousmotors.Itoptimizesthecurrentdistributionofthemotortoachievemaximumtorqueoutput,improvingthedynamicperformanceandoperationalefficiencyofthemotor.Inpracticalapplications,thiscontrolstrategycanbecombinedwithothercontrolmethodstomeetmorecomplexcontrolrequirements.五、最大转矩电流比控制应用实例Applicationexampleofmaximumtorquecurrentratiocontrol最大转矩电流比控制策略在实际永磁同步电机控制中具有广泛的应用。下面通过一个应用实例来具体阐述这种控制策略的实际应用情况。Themaximumtorquecurrentratiocontrolstrategyhasawiderangeofapplicationsintheactualcontrolofpermanentmagnetsynchronousmotors.Belowisanapplicationexampletoillustratethepracticalapplicationofthiscontrolstrategy.在电动汽车领域，永磁同步电机被广泛用作驱动电机。电动汽车需要快速响应驾驶员的加速请求，同时又要保证高效节能。最大转矩电流比控制策略能够很好地满足这些要求。Inthefieldofelectricvehicles,permanentmagnetsynchronousmotorsarewidelyusedasdrivingmotors.Electricvehiclesneedtoquicklyrespondtodriveraccelerationrequestswhileensuringhighefficiencyandenergyefficiency.Themaximumtorquecurrentratiocontrolstrategycaneffectivelymeettheserequirements.当驾驶员踩下加速踏板时，电动汽车的控制器会接收到加速请求信号。控制器根据当前的车辆速度、电池状态等信息，计算出需要的电机转矩。然后，通过最大转矩电流比控制策略，控制器可以迅速找到对应的电流指令，使电机产生所需的转矩。Whenthedriverstepsontheacceleratorpedal,thecontrolleroftheelectricvehiclewillreceiveanaccelerationrequestsignal.Thecontrollercalculatestherequiredmotortorquebasedonthecurrentvehiclespeed,batterystatus,andotherinformation.Then,throughthemaximumtorquecurrentratiocontrolstrategy,thecontrollercanquicklyfindthecorrespondingcurrentcommandtogeneratetherequiredtorqueforthemotor.在实际运行中，最大转矩电流比控制策略能够使电机在产生最大转矩的同时，保持电流的最小化。这样，不仅可以迅速提高电动汽车的加速性能，还可以降低电机的铜耗和铁耗，提高能量利用效率。Inpracticaloperation,themaximumtorquecurrentratiocontrolstrategycanminimizethecurrentwhilegeneratingmaximumtorqueforthemotor.Inthisway,notonlycantheaccelerationperformanceofelectricvehiclesbequicklyimproved,butalsothecopperandironlossesofthemotorcanbereduced,andtheenergyutilizationefficiencycanbeimproved.最大转矩电流比控制策略还可以与电机的弱磁控制相结合，实现电机在高速区间的恒功率运行。当电机转速超过基速时，通过适当的弱磁控制，可以使电机在保持恒定功率输出的继续提高转速。这样，电动汽车就可以实现更宽的速度范围和更好的动力性能。Themaximumtorquecurrentratiocontrolstrategycanalsobecombinedwiththeweakmagneticcontrolofthemotortoachieveconstantpoweroperationofthemotorinthehigh-speedrange.Whenthemotorspeedexceedsthebasespeed,throughappropriateweakmagneticcontrol,themotorcancontinuetoincreasespeedwhilemaintainingaconstantpoweroutput.Inthisway,electricvehiclescanachieveawiderspeedrangeandbetterpowerperformance.最大转矩电流比控制策略在永磁同步电机控制中具有重要的作用。通过实际应用实例的分析，我们可以看到这种控制策略在提高电机性能、降低能耗方面的显著优势。随着电动汽车等应用的不断发展，最大转矩电流比控制策略将会得到更广泛的应用和推广。Themaximumtorquecurrentratiocontrolstrategyplaysanimportantroleinthecontrolofpermanentmagnetsynchronousmotors.Throughtheanalysisofpracticalapplicationexamples,wecanseethatthiscontrolstrategyhassignificantadvantagesinimprovingmotorperformanceandreducingenergyconsumption.Withthecontinuousdevelopmentofapplicationssuchaselectricvehicles,themaximumtorquecurrentratiocontrolstrategywillbemorewidelyappliedandpromoted.六、最大转矩电流比控制的发展趋势Thedevelopmenttrendofmaximumtorquecurrentratiocontrol随着科技的不断进步和应用的日益广泛，永磁同步电机的最大转矩电流比控制策略也在持续发展和优化。未来，这一领域的发展趋势主要可以归结为以下几个方面：Withthecontinuousprogressoftechnologyandtheincreasinglywidespreadapplication,themaximumtorquecurrentratiocontrolstrategyofpermanentmagnetsynchronousmotorsisalsocontinuouslydevelopingandoptimizing.Inthefuture,thedevelopmenttrendsinthisfieldcanmainlybesummarizedinthefollowingaspects:控制算法的持续优化是关键。通过引入更先进的算法，如自适应控制、模糊控制、神经网络控制等，可以进一步提高最大转矩电流比控制的精度和动态响应速度。这些算法能够更好地处理电机参数的不确定性、外部干扰以及非线性问题，从而提高电机的运行效率和稳定性。Continuousoptimizationofcontrolalgorithmsiscrucial.Byintroducingmoreadvancedalgorithmssuchasadaptivecontrol,fuzzycontrol,neuralnetworkcontrol,etc.,theaccuracyanddynamicresponsespeedofmaximumtorquecurrentratiocontrolcanbefurtherimproved.Thesealgorithmscanbetterhandletheuncertainty,externalinterference,andnonlinearproblemsofmotorparameters,therebyimprovingtheoperationalefficiencyandstabilityofthemotor.智能化和数字化是重要的发展方向。随着物联网、大数据和云计算等技术的快速发展，永磁同步电机的控制也将更加智能化和数字化。通过集成传感器、控制器和执行器等设备，实现电机的智能感知、智能决策和智能执行，可以进一步提高最大转矩电流比控制的自动化水平和智能化程度。Intelligenceanddigitizationareimportantdevelopmentdirections.WiththerapiddevelopmentoftechnologiessuchastheInternetofThings,bigdata,andcloudcomputing,thecontrolofpermanentmagnetsynchronousmotorswillalsobecomemoreintelligentanddigital.Byintegratingsensors,controllers,andactuators,intelligentperception,decision-making,andexecutionofmotorscanbeachieved,whichcanfurtherimprovetheautomationandintelligencelevelofmaximumtorquecurrentratiocontrol.高性能材料和新型磁路结构的设计也是未来的研究重点。通过采用更先进的永磁材料、绕组结构和冷却系统等，可以提高电机的转矩密度、热稳定性和运行效率，从而进一步提升最大转矩电流比控制的效果。Thedesignofhigh-performancematerialsandnewmagneticcircuitstructuresisalsoafutureresearchfocus.Byadoptingmoreadvancedpermanentmagnetmaterials,windingstructures,andcoolingsystems,thetorquedensity,thermalstability,andoperationalefficiencyofthemotorcanbeimproved,therebyfurtherenhancingtheeffectivenessofmaximumtorquecurrentratiocontrol.集成化和模块化也是未来的发展趋势。通过将永磁同步电机与其他相关设备集成在一个模块中，可以简化系统的结构、提高系统的可靠性和维护性。模块化设计也便于实现电机的标准化和批量化生产，降低制造成本和应用门槛。Integrationandmodularizationarealsofuturedevelopmenttrends.Byintegratingpermanentmagnetsynchronousmotorswithotherrelatedequipmentintoonemodule,thestructureofthesystemcanbesimplified,andthereliabilityandmaintainabilityofthesystemcanbeimproved.Modulardesignalsofacilitatesthestandardizationandmassproductionofmotors,reducingmanufacturingcostsandapplicationbarriers.未来永磁同步电机的最大转矩电流比控制将在控制算法、智能化和数字化、高性能材料和新型磁路结构以及集成化和模块化等方面取得更大的发展。这些发展将进一步提升永磁同步电机的性能和可靠性，推动其在电动汽车、风力发电、工业自动化等领域的应用更加广泛和深入。Themaximumtorquecurrentratiocontroloffuturepermanentmagnetsynchronousmotorswillachievegreaterdevelopmentincontrolalgorithms,intelligenceanddigitization,high-performancematerialsandnewmagneticcircuitstructures,aswellasintegrationandmodularization.Thesedevelopmentswillfurtherenhancetheperformanceandreliabilityofpermanentmagnetsynchronousmotors,promotingtheirwideranddeeperapplicationsinfieldssuchaselectricvehicles,windpowergeneration,andindustrialautomation.七、结论Conclusion随着科技的不断进步和绿色能源需求的日益增长，永磁同步电机（PMSM）作为高效、节能的驱动方式，在电动汽车、风力发电、工业自动化等领域得到了广泛应用。本文重点研究了永磁同步电机的最大转矩电流比控制策略，通过理论分析和实验验证，深入探讨了该控制策略在提高电机效率和性能方面的优势。Withthecontinuousprogressoftechnologyandtheincreasingdemandforgreenenergy,permanentmagnetsynchronousmotors(PMSMs)havebeenwidelyusedasefficientandenergy-savingdrivingmethodsinfieldssuchaselectricvehicles,windpowergeneration,andindustrialautomation.Thisarticlefocusesonthemaximumtorquecurrentratiocontrolstrategyofpermanentmagnetsynchronousmotors.Throughtheoreticalanalysisandexperimentalverification,theadvantagesofthiscontrolstrategyinimprovingmotorefficiencyandperformancearedeeplyexplored.本文从理论上分析了最大转矩电流比控制的基本原理，详细阐述了其在电机控制中的重要性和实际应用价值。通过推导PMSM的数学模型，本文明确了最大转矩电流比控制的目标是在保证电机输出转矩最大的同时，使得电流最小，从而提高电机的效率。Thisarticletheoreticallyanalyzesthebasicprincipleofmaximumtorquecurrentratiocontrol,andelaboratesonitsimportanceandpracticalapplicationvalueinmotorcontrol.ByderivingthemathematicalmodelofPMSM,thispaperconfirmsthatthegoalofmaximumtorquecurrent