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ReactanceofInductionMachinesFundamentalConceptsFaraday’sLawAmoreusefulformofFaraday’slaw:CombiningEquationsAmpere’sCircuitLawToapplyAmpere’sCircuitlaw,considerthesimplemagneticcircuitofatoruswithanon-ferromagneticcoreB=uruoHTheintegrationoffluxdensityoveraunitareagivestotalflux.Foratorroid=BAWebersForFerromagneticMaterials,avalueofroisreadfromaSaturationCurveEffectofSaturationonInductanceEquivalentCircuitofInductionMotorR1PrimaryresistanceX1LeakagereactanceofprimarywindingXMMagnetizingReactancegh=ResistancepathtoaccountforcorelossX2SecondaryleakagereactanceR2/sResistanceofsquirrelcagewindingMagnetizingReactanceXMT=ReactanceFactor=TheresultantvoltageintheairgapavailabletocreatetherotatingmagneticfieldislessthanthepeakvoltageofthesinewaveatthemotorterminalsBecauseof2factors:Kp:AccountsforthepitchofthewindingKd:AccountsforthedistributionofthewindingTotalLeakageReactanceX1+X2StatorSlotLeakageReactanceForStator:RotorSlotLeakageReactanceRotorLeakageReactanceCont.DifferentialLeakageXM=MagnetizingReactanceS=#StatorSlotsP=#PolesR+#RotorSlotsKgSCarter’sairgapcoefficientforthestatorKgRCarter’sairgapcoefficientfortherotorKSShortPitchCorrectionFactorKWStatorWindingCorrectionFactorCoilendLeakageReactanceAS=MeanStatoroverhangL.M.H.T.=LengthofmeanhalfturnstatorcoilL=Statorcorelength=perunitcoilpitch=PolePitchKS=ShortpitchcorrectionfactorPeripheralAirGapLeakagePeripheralreactanceisnegligibleforinductionmachineswithsmallairgapsbutcanberelevantonhighspeedsynchronousmotorswithverylargeairgaps.SummaryofInductionMotorLeakageReactanceLeakageReactanceSummaryContinuedEffectofLeakageReactanceOnMotorPerformanceMaximumTorqueorBreakdownTorqueincreasesasleakagereactance(X1+X2)decreasesEffectofLeakageReactanceOnMotorPerformanceQUESTIONSEffectofReactanceonTransientShortCircuitCurrentGeneralequationforshortcircuitcurrent
