t sreejith kailas edited by sarath s nair modelling and analysis of a two phase induction machine...
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T SREEJITH KAILASEdited By
Sarath S Nairwww.technologyfuturae.com
MODELLING AND ANALYSIS OF A TWO PHASE INDUCTION MACHINE WITH
NON-ORTHOGONAL STATOR WINDINGS
IntroductionStarting torque is produced by designing
the stator windings to be electrically different.
Unsymmetrical 2-phase IM is designed to operate from a single-phase source
Stationary reference frame is used in order to obtain voltage equations with constant coefficients.
Rating of two phase induction machine is usually low.
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2Pole,Unsymmetrical 2-phase induction machine
θr
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VQS,VDS=QS and DS-axis stator voltages
Rm,Xm and Ra,Xsa-QS and DS-axis resistance and leakage inductanceRotor voltages are set to zero(because of squirrel-cage rotors)
Voltage and flux equations
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VDS=Ra*iDS+(P/ωb*ψDS)……(2)
VQS=Rm*iQS+ (P/ωb*ψQS)……(1)
0=(Rr*iQR)-1/k* (ωr/ωb)*ψ’DR+(P/ωb)*ψ’QR …….(3)0=(K^2*Rr*iDR)-k*
(ωr/ωb)*ψ’QR+(P/ωb)*ψ’DR .....(4)www.technologyfuturae.com
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Te,Tl =electromagnetic instantaneous torque and load torque
J= inertia constant of motorP= number of poles
Torque Equation
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Equivalent circuit
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AdvantagesRobustness in its operationLow costHighly reliable
DisadvantageInability to produce a smoothly rotating
internal fluxNeeds two capacitors
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ApplicationsMostly used in single phase applications
such asRefrigeratorsWashing machinesFurnace fansAir conditioners
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ReferencesKrause, P.C., Wasynczuk, O., Sudhoff,
S.D.,Analysis of Electric Machinery, IEEE Press, 1995.
Walls, T.A., Sudhoff, S.D., Analysis of a single-phase induction machine with a shifted auxiliary winding, IEEE, Trans. on Energy Conversion, dec.1996, p.681-686.
http://www.wikepedia.com/two phase induction motor.html
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ConclusionThe mathematical model for a two-phase
unsymmetrical induction machine was developed and its equivalent circuit is drawn
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