T SREEJITH KAILAS Edited By Sarath S Nair MODELLING AND ANALYSIS OF A TWO PHASE INDUCTION MACHINE...

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


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

4

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

5


Te,Tl =electromagnetic instantaneous torque and load torque

J= inertia constant of motorP= number of poles

Torque Equation

7


8

Equivalent circuit


AdvantagesRobustness in its operationLow costHighly reliable

DisadvantageInability to produce a smoothly rotating

internal fluxNeeds two capacitors


ApplicationsMostly used in single phase applications

such asRefrigeratorsWashing machinesFurnace fansAir conditioners


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


http://www.wikepedia.com/two

ConclusionThe mathematical model for a two-phase

unsymmetrical induction machine was developed and its equivalent circuit is drawn


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T SREEJITH KAILAS Edited By Sarath S Nair MODELLING AND ANALYSIS OF A TWO PHASE INDUCTION MACHINE...

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