AsynchronousMachine::Blocks(SimPowerSystems™)jar:file:///D:/Program%20Files/MATLAB/R2010a/help/toolbox/physmo...1of122014/5/2313:40AsynchronousMachineModelthedynamicsofthree-phaseasynchronousmachine,alsoknownasinductionmachineLibraryMachinesDescriptionTheAsynchronousMachineblockoperatesineithergeneratorormotormode.Themodeofoperationisdictatedbythesignofthemechanicaltorque:IfTmispositive,themachineactsasamotor.IfTmisnegative,themachineactsasagenerator.Theelectricalpartofthemachineisrepresentedbyafourth-orderstate-spacemodelandthemechanicalpartbyasecond-ordersystem.Allelectricalvariablesandparametersarereferredtothestator.Thisisindicatedbytheprimesignsinthemachineequationsgivenbelow.Allstatorandrotorquantitiesareinthearbitrarytwo-axisreferenceframe(dqframe).Thesubscriptsusedaredefinedasfollows:SubscriptDefinitionddaxisquantityqqaxisquantityrRotorquantitysStatorquantitylLeakageinductancemMagnetizinginductanceElectricalSystemMechanicalSystemTheAsynchronousMachineblockparametersaredefinedasfollows(allquantitiesarereferredtothestator):slsrlrAsynchronousMachine::Blocks(SimPowerSystems™)jar:file:///D:/Program%20Files/MATLAB/R2010a/help/toolbox/physmo...2of122014/5/2313:40ParameterDefinitionR,LStatorresistanceandleakageinductanceR',L'RotorresistanceandleakageinductanceLMagnetizinginductanceL,L'TotalstatorandrotorinductancesV,iqaxisstatorvoltageandcurrentV',i'qaxisrotorvoltageandcurrentV,idaxisstatorvoltageandcurrentV',i'daxisrotorvoltageandcurrentϕ,ϕStatorqanddaxisfluxesϕ',ϕ'RotorqanddaxisfluxesωAngularvelocityoftherotorΘRotorangularpositionpNumberofpolepairsωElectricalangularvelocity(ωxp)ΘElectricalrotorangularposition(Θxp)TElectromagnetictorqueTShaftmechanicaltorqueJCombinedrotorandloadinertiacoefficient.Settoinfinitetosimulatelockedrotor.HCombinedrotorandloadinertiaconstant.Settoinfinitetosimulatelockedrotor.FCombinedrotorandloadviscousfrictioncoefficientDialogBoxandParametersYoucanchoosebetweentwoAsynchronousMachineblockstospecifytheelectricalandmechanicalparametersofthemodel,byusingthepuUnitsdialogboxortheSIdialogbox.Bothblocksaremodelingthesameasynchronousmachinemodel.Dependingonthedialogboxyouchoosetouse,SimPowerSystems™softwareautomaticallyconvertstheparametersyouenterintoperunitparameters.TheSimulinkmodeloftheAsynchronousMachineblockusespuparameters.ConfigurationTab®AsynchronousMachine::Blocks(SimPowerSystems™)jar:file:///D:/Program%20Files/MATLAB/R2010a/help/toolbox/physmo...3of122014/5/2313:40PresetmodelProvidesasetofpredeterminedelectricalandmechanicalparametersforvariousasynchronousmachineratingsofpower(HP),phase-to-phasevoltage(V),frequency(Hz),andratedspeed(rpm).Selectoneofthepresetmodelstoloadthecorrespondingelectricalandmechanicalparametersintheentriesofthedialogbox.Notethatthepresetmodelsdonotincludepredeterminedsaturationparameters.SelectNoifyoudonotwanttouseapresetmodel,orifyouwanttomodifysomeoftheparametersofapresetmodel,asdescribedbelow.Whenyouselectapresetmodel,theelectricalandmechanicalparametersintheParameterstabofthedialogboxbecomeunmodifiable(grayedout).Tostartfromagivenpresetmodelandthenmodifymachineparameters,youhavetodothefollowing:Selectthedesiredpresetmodeltoinitializetheparameters.1.ChangethePresetmodelparametervaluetoNo.Thiswillnotchangethemachineparameters.Bydoingso,youjustbreaktheconnectionwiththeparticularpresetmodel.2.Modifythemachineparametersasyouwish,thenclickApply.3.MechanicalinputAllowsyoutoselecteitherthetorqueappliedtotheshaftortherotorspeedastheSimulinksignalappliedtotheblock'sinput.SelectTorqueTmtospecifyatorqueinput,inN.morinpu,andchangelabelingoftheblock'sinputtoTm.ThemachinespeedisdeterminedbythemachineInertiaJ(orinertiaconstantHforthepumachine)andbythedifferencebetweentheappliedmechanicaltorqueTmandtheinternalelectromagnetictorqueTe.Thesignconventionforthemechanicaltorqueisthefollowing:whenthespeedispositive,apositivetorquesignalindicatesmotormodeandanegativesignalindicatesgeneratormode.SelectSpeedwtospecifyaspeedinput,inrad/sorinpu,andchangelabelingoftheblock'sinputtow.Themachinespeedisimposedandthemechanicalpartofthemodel(InertiaJ)isignored.UsingthespeedasthemechanicalinputallowsmodelingamechanicalcouplingbetweentwomachinesandinterfacingwithSimMechanics™andSimDriveline™models.Thenextfigureindicateshowtomodelastiffshaftinterconnectioninamotor-generatorsetwhenfrictiontorqueisignoredinmachine2.Thespeedoutputofmachine1(motor)isconnectedtothespeedinputofmachine2(generator),whilemachine2electromagnetictorqueoutputTeisappliedtothemechanicaltorqueinputTmofmachine1.TheKwfactortakesintoaccountspeedunitsofbothmachines(puorrad/s)andgearboxratiow2/w1.TheKTfactortakesintoaccounttorqueunitsofbothmachines(puorN.m)andmachineratings.Also,astheinertiaJ2isignoredinmachine2,J2referredtomachine1speedmustbeaddedtomachine1inertiaJ1.AsynchronousMachine::Blocks(SimPowerSystems™)jar:file:///D:/Program%20Files/MATLAB/R2010a/help/toolbox/physmo...4of122014/5/2313:40RotortypeSpecifiesthebranchingfortherotorwindings.ReferenceframeSpecifiesthereferenceframethatisusedtoconvertinputvoltages(abcref