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Excitation2研发培训,设计培训2024/3/29Excitation2研发培训,设计培训Outline Formulaforcalculatingthemagneticcircuitgeometryofasynchronousmachine(SMDS)Calculatefluxdensityandampere-turnsofmagneticcircuitConstructtheopencircuitandsynchronousimpedancecurvesShortCircuitRatio(SCR)CalculateFieldExcitationRequiredforgivenloadandPFEfficiencyExcitation2研发培训,设计培训MagneticCircuitSMDSAreaofGapAgap=AreaofAirGapinsquarecentimetersCp=PoleConstantCL=GrossCoreLengthInchesSOD=StatorOuterDiameterInchesPoles=NumberofPoles6.45=conversionfactor2.542NOTE:TheuserentersSODandCLintoSMDSininchesbutSMDSprintoutlistsmagneticpathareasandlengthsinsquarecentimetersandcentimetersExcitation2研发培训,设计培训SMDSOutputExcitation2研发培训,设计培训MagneticCircuitCont.AreaofstatorcoreExcitation2研发培训,设计培训MagneticCircuitCont.Acore: AreaofstatorcoreinsquarecentimetersCLN: NetCoreLength(inches)DSC: DepthofstatorCore(inches)SID: StatorInnerDiameter(inches)Dss: DepthofStatorSlot(inches)#vents:NumberofstatorventsVWth Widthofstatorvent(inches)WS: WidthofstatorslotNotethatSMDSasksforthewidthofthestatorslotatthreedepthsintheslotWS1,WS2,WS3,thisistoaccommodaterandomwoundstatorswithnon-rectangularslots.ForstandardrectangularslotsWS1=WS2=WS3=WSExcitation2研发培训,设计培训MagneticCircuitCont.TeethWidthAreaToothExcitation2研发培训,设计培训MagneticCircuitCont.AreaofPoleWpole=Widthofpolebody(inches)CL=GrossrotorLength.98=StackingfactorrotorpunchingsExcitation2研发培训,设计培训MagneticCircuitCont.Ltooth=Dssx2.54Lpole=lengthofpolebodyx2.54LGap=GminxKGx2.54KG=GapFactor(sameasinductionmotor)Excitation2研发培训,设计培训MagneticCircuitCont.

tNL=TotalMagneticFluxNo-LoadE=LinetoLineVoltageFreq=FrequencyKw=WindingFactorZph=TotalSeriesConductorsperphaseExcitation2研发培训,设计培训MagneticCircuitExcitation2研发培训,设计培训MagneticCircuitCont.B-Hcurvesforthestatorelectricalsteelwilldeterminethenumberofampereturnsrequiredtopushthefluxdensitythroughthefluxpathsofthestator.ATcore=Ampere-turnsrequiredtomagnetizestatorcoreATteeth=Ampere-turnsrequiredtomagnetizestatorteethExcitation2研发培训,设计培训TOPICSHIFT-PoleLeakageBeforecalculatingthefluxdensityofthepole,theleakagefluxpathshavetobeconsidered.Excitation2研发培训,设计培训PoleLeakageFluxThefluxrequiredatthepolefaceisthefluxthatlinkstheair-gapandstatormagneticcircuits().Becauseofpoleleakageflux,thefluxrequiredatthetopofthepolebodyisthesumofthepoleshoeleakageflux+SLThefluxrequiredatthebottomofthepoleshoeisthen+SL+BLExcitation2研发培训,设计培训PoleLeakageFluxRecallthatinamagneticcircuit,Flux=mmfxmagneticpermeanceLeakagefluxbetweenpolesisequaltothemmfperpolexthemagneticpermeanceofthespacebetweenpoles.Recallthatmagneticpermeanceofairis:Excitation2研发培训,设计培训PoleLeakageFluxToevaluatethetotalleakagefluxofthepole,theleakagefluxwillbebrokeninto6leakagepaths:PoleBodytoBodyLeakagePoleBodyEndtoBodyEndLeakagePoleShoeUndersidetopoleshoeundersidePoleShoeTiptoShoePoleTipPoleShoeEndSphericalQuadrantPoleShoeEndtoPoleShoeEndExcitation2研发培训,设计培训PoleLeakageFluxExcitation2研发培训,设计培训PoleBodyLeakageExcitation2研发培训,设计培训PoleBodySideLeakageAreaoffluxtubeδxLengthofFluxtubeIfMistheampereturnsperpole,itisassumedtheleakagemmfvarieslinearlyalongthelengthofthepolebody.Thenatthepolebottomthemmfiszeroandatthepolebodytopthemmfis2.52MM=ATgap+ATcore+ATteethExcitation2研发培训,设计培训PoleBodySideLeakageFluxThefluxofasinglefluxtubeExcitation2研发培训,设计培训PoleBodySideFluxTheintegrationresultedinatotalleakagefluxperunitofcorelength.TheresultoftheintegrationismultipliedbypolelengthCltodeterminetotalbodyleakageflux.Excitation2研发培训,设计培训PoleBodyEndLeakageFigure4EN132Excitation2研发培训,设计培训PoleBodyEndLeakageFluxPermeanceofonetubeoffluxExcitation2研发培训,设计培训PolebodyendleakagefluxThemmfvariesfrom0aty=0to2.52Maty=Landhasavalueof2.52xMx(y/L)foratubeoffluxExcitation2研发培训,设计培训Polebodyendleakageflux=Leak2Excitation2研发培训,设计培训TotalPoleBodyLeakageIfyouaddtheprevioustwoequationstogether,theresultcanbewrittenasMx

borLeak1+Leak2=M(

b)=LeakBodySMDSprintsoutPoleLeakage“BodyEnd”and“BodySide”.BodySide=Leak1/M;BodyEnd=Leak2/MExcitation2研发培训,设计培训SMDSOutputExcitation2研发培训,设计培训InsideSurfaceofPoleLeakageFigure5fromengineeringnote132Excitation2研发培训,设计培训PoleShoeLeakageElementarypermeanceSurfaceBmmf=constant2.52MoverheightgExcitation2研发培训,设计培训ShoeLeakageCont..TotalleakagefluxperunitlengthSurfaceBExcitation2研发培训,设计培训ShoeLeakageCont.TotalshoeleakageoverlengthofPoleClSurfaceBUsingthesamelogicforsurfaceC:Excitation2研发培训,设计培训EndLeakageSphericalQuadrantLeak5=2x2x2.52Mx.077αα=polepitchExcitation2研发培训,设计培训PoleShoeEndLeakageFluxFigure8UsingsimilarmethodologyasdoneforothersurfacesExcitation2研发培训,设计培训PoleShoeEndLeakageFlux=Leak6Excitation2研发培训,设计培训TotalPoleShoeLeakageLeakshoe=Leak3+Leak4+Leak5+Leak6SMDSprintout:PoleLeakage“ShoeEnd”and“ShoeSide”ShoeSide=(Leak3+leak4)/MShoeEnd=(Leak5+Leak6)/MExcitation2研发培训,设计培训SMDSOutputExcitation2研发培训,设计培训FinishMagneticCircuitsFluxinthepolehastoequalthefluxcrossingtheairgapplustheleakagefluxinthefieldcircuit.Thedifferencebetweentheairgapfluxandairgapfluxplusleakagefluxisaveragedoverthelengthofthepolecircuit.Excitation2研发培训,设计培训MagneticCircuitsCont.

LS=Leakshoe

T=(Leakshoe+Leakbody)

LS:Leakageofpoleshoe

T:TotalLeakageofPole

PT=

tNL+

LS:FluxattopofPoleBody

PB=

tNL+

T:FluxatbottomofPoleBody

Excitation2研发培训,设计培训MagneticCircuitCont.BpoleT=

PT/Apole=FluxDensitytopofpolebodyBpoleB=

PB/Apole=FluxDensitybottomofpolebodyBpole=BpoleB–2(BpoleB–BpoleT)Byoke=

PB/AyokeATpoleandATyokecanbereadfromtheB-HcurveforthesteelusedineachExcitation2研发培训,设计培训OpenCircuitSaturationCurveThepreviousequationsusedtheratedvoltageofthemachinetocalculatetotalflux

.IftheVoltageisvariedfrom.25Vto1.5V,valuesofATcanbedeterminedateachvoltagepointandtheopencircuitsaturationcurvecanbecalculated.Excitation2研发培训,设计培训OpenCircuitSaturationCurveExcitation2研发培训,设计培训AmpereTurnsofArmatureReactionRecallthatarmaturereactionistheeffectthatthearmaturemmfhasondistortionoftheopencircuitno-loadmmfproducedbythefieldactingalone.ArmatureReactioncanbemodeledbyaddinganimpedanceinphasewiththearmatureleakagereactance.Additionalampere-turnsneedtobegeneratedbythefieldtoovercometheeffectsofarmaturereactionExcitation2研发培训,设计培训Ampere-TurnsofArmatureReactionα: PoleEmbracePH: NumberofphasesSPP: SlotsperpoleperphaseTPC: TurnspercoilofarmatureCRTS: NumberofarmaturecircuitsAmps: RatedampsofmachineKW: WindingfactorofmachineExcitation2研发培训,设计培训OpenCircuitSaturationCurveDirectAxisSynchronousImpedanceArmaturecurrentAmpere-turnsperpolePUTerminalVoltageOpencircuitsatONominalFratedDBAIZaCAATNo-LoadampereturnsAirgaplineGExcitation2研发培训,设计培训ShortCircuitRatioTheShortCircuitRatio(SCR)isfromthepreviouscurveShortCircuitRatioisaimportantparameterinsynchronousmotordesign.Itmaybeconsideredtheratiooffieldstrengthtoarmaturestrength.Excitation2研发培训,设计培训SCRSCRLow:SmallairgapPoorvoltageregulation(generators)Smallamountoffieldcopper,aninexpensivefieldwindingLowPullOutTorque(Motors)SCRHigh Largeairgap goodvoltageregulation(generators) largeamountoffieldcopper,expensivefield windingExcitation2研发培训,设计培训ExcitationatAnyLoadandPFRecallthattheAirGapVoltageistheterminalvoltageplusthearmatureresistancedropandarmatureleakagereactancedropaddedasvectors.Thisvoltageisusedtocalculatethefluxdensityunderload(epct)IVIRIXLVgap

Excitation2研发培训,设计培训OpenCircuitSaturationCurveDirectAxisSynchronousImpedanceArmaturecurrentAmpere-turnsperpolePUTerminalVoltageNominalratedATPgATPsATPFSAirGapVoltageExcitation2研发培训,设计培训FieldExcitationCalculationATPgATPsATPFS

LeadingPFATPgATPsATPFSTotalfieldexcitation

Totalfieldexcitation

UnityPFExcitation2研发培训,设计培训SMDSOutputExcitation2研发培训,设计培训EfficiencyLossesofasynchronousMotorConsistof6categories:ArmatureI2RFieldI2RCoreFWStrayExciterExcitation2研发培训,设计培训ArmatureCopperLossesArmaturecopperloss:I2rated(Res)Whendoingthiscalculation,aninitialvalueofefficiencymustbeassumed,theequationsforefficiencyandRatedcurrentarethensolvediterativelytogetthefinalresults.Calculatearmatureresistanceatoperatingtemperature.Excitation2研发培训,设计培训FieldCopperLossUsingmethodsdescribedonpreviousslide,calculatethefullloadfieldcurrent.ThefieldcopperlossisthenI2R(ResF)CalculateResFatoperatingtemperatureExcitation2研发培训,设计培训CoreLossCoreLossStatorTeethPt: Toothlossatno-loadinKWWt: WeightofstatorteethExcitation2研发培训,设计培训CoreLossCont.Bt: Fluxdensityinmiddleoftoothkilolines/inches2β: Exponentdependantongradeofsteel,3.0forstandard 10502FHsteelKi: 1.3forcircularstatorlaminationsKi: 1.64forMultiSegmentLaminations,brackettypeconstruction.Ki: 1.7forMultiSegmentLaminationuptoand including20polesKi: 1.9forMultiSegmentLaminationsabove22polesS1: NumberofstatorslotsCLN: Netcorelengthstator Kstk: Stackingfactorforstatorlaminationshs: Statorslotheightbt: Averagetoothwidth Excitation2研发培训,设计培训CoreLoss-StatorSteelCoreLossstatorCorePc: CoreLossinKWWc: WeightofstatorcoreinLBSBc: Statorcorefluxdensityinkiloline/inches2Excitation2研发培训,设计培训CoreLoss-PoleFaceLossPoleFaceLoss:Polefacelossiscreatedbyeddycurrentsbeinginducedinthetopofthepoleshoe.Thesecanbereducedingeneralbyincreasingtheairgaporloweringthefluxdensityinthegap.Polefacelossisfoundbymultiplying6constantstogetherwiththenumberofpoles,poleembrace,andgrosscorelength.Excitation2研发培训,设计培训PoleFaceLossCont.Bg:GapFluxDensityS1:NumberofstatorslotsK6=2.6for.125inchthickpolelaminationsK6=1.2for0.63inchthickpolelaminationsExcitation2研发培训,设计培训PoleFaceLossCont.W=WidthStatorSlotg=minairgapExcitation2研发培训,设计培训PoleFaceLossCont.

s=StatorslotpitchExcitation2研发培训,设计培训PoleFaceLossCont.CW=.39xC1Excitation2研发培训,设计培训DamperLossDamperLossExcitation2研发培训,设计培训DamperLossCont.db: Damperbardiameter(inches)

b1: Depthofpenetrationfordamperbaratslotharmonic frequency

b2: Depthofpenetrationfordamperbaratsecondslot harmonicfrequency: Damperbarresistivityinmicro-ohm-inchesq: Statorslotsperpoleperphasem: numberofphasesf: ratedfrequencyExcitation2研发培训,设计培训DamperLossCont.hb2: Heightofslotabovedamperbarbb2: Widthofslotabovedamperbarg: MinimumsingleairgapExcitation2研发培训,设计培训DamperLossCont.

b: DamperslotpitchatstatorborediameterKg: Carter’sairgapcoefficientWss: Widthofarmatureslotopenin

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