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Experimentalverificationofafield-circuitsquirrelcagemotormodel
R
1
X
r1
R’
2
X’
r2
U
R
Fe
X
µ
R’
2
(1-s)/s
11
Fig.2.Equivalentcircuitmodelofaninductionmotor
whereUisastatorphasevoltage,
R
1
,
R
'
2
isastatorandrotorresistance,
X
1
,
X
'
2
isastatorandrotorleakageresistance,
R
Fe
isaequivalentresistanceofthecore
losses,
X
µ
isamagnetizinginductance.
Thesoftwareenablestestingoftheimpactofgeometryandtemperatureonthe
performanceofaninductionmotor[7].
Inafirststageofcircuitanalysis,thesoftwareautomaticallycalculatesthepa-
rametersthataredependentoncurrents,frequencyandsaturationofthemagnetic
circuit.Next,itisassumedthattheairgapfluxdensitiesrangefrom0.1to1.0T,
andthefluxdensities,themagneto-motiveforcedropsacrossthemagneticcircuit
elementsaswellasamagneticsaturationfactor,magnetizingreactanceandthe
equivalentresistanceofthecorelosesarecalculated.Theinitialvalueoffluxden-
sityiscalculatedconventionallybasedonthemotordesignparameters.Themag-
netizingcurrentvalueisobtainedbasedonthemagneticfielddistributionmethod
asdescribedin[2].Itsnon-imaginarycomponentiscalculatedbasedontheas-
sumedmechanicalandironlosses.Followingthisapproach,thestatorresistance
andreactanceaswellasresistance
R
Fe
andthemagnetizingreactancearecalcu-
latedunderno-loadoperation.Theno-loadcurrentiscalculatedforassumedflux
densityvaluesandcorrespondingparametersoftheequivalentcircuit.Theinduc-
tionmotorfunctionalcharacteristicsandparametersaredeterminedbasedoncom-
pleteequivalentcircuitcurrentsandfluxdensitiesfortheentiresliprangefrom0
to1.Softwarepostprocessorprovidestableofcalculatedparameterssuchasthe
equivalentresistanceofthecorelosses,statorandrotorreactance,airgapflux
densities,statorandrotorcurrents,electromagnetictorque,andmotorefficiencyas
functionsofslip.
