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T SREEJITH KAILAS Edited By Sarath S Nair www.technologyfuturae.com MODELLING AND ANALYSIS OF A TWO PHASE INDUCTION MACHINE WITH NON-ORTHOGONAL STATOR WINDINGS

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Introduction Starting 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. www.technologyfuturae.com

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2Pole,Unsymmetrical 2-phase induction machine θrθr www.technologyfuturae.com

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V QS,V DS =QS and DS-axis stator voltages Rm,Xm and Ra,Xsa-QS and DS-axis resistance and leakage inductance Rotor voltages are set to zero(because of squirrel-cage rotors) Voltage and flux equations 4 V DS =R a *i DS +(P/ ω b * ψ DS ) ……(2) V QS =R m *i QS + (P/ ω b * ψ QS ) ……(1) 0=(R r *i QR )-1/k* ( ω r / ω b )* ψ DR +(P/ ω b )* ψ QR …….(3) 0=(K ^2 *Rr*i DR )-k* ( ω r / ω b )* ψ QR +(P/ ω b )* ψ DR.....(4) www.technologyfuturae.com

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Te,Tl =electromagnetic instantaneous torque and load torque J= inertia constant of motor P= number of poles Torque Equation 7 www.technologyfuturae.com

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8 Equivalent circuit 88 www.technologyfuturae.com

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Advantages Robustness in its operation Low cost Highly reliable Disadvantage Inability to produce a smoothly rotating internal flux Needs two capacitors www.technologyfuturae.com

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Applications Mostly used in single phase applications such as Refrigerators Washing machines Furnace fans Air conditioners www.technologyfuturae.com

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References Krause, 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 www.technologyfuturae.com

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Conclusion The mathematical model for a two-phase unsymmetrical induction machine was developed and its equivalent circuit is drawn www.technologyfuturae.com

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