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MODELLING AND ANALYSIS OF A TWO PHASE INDUCTION MACHINE WITH NON-ORTHOGONAL STATOR WINDINGS. T SREEJITH KAILAS Edited By Sarath S Nair www.technologyfuturae.com. Introduction. Starting torque is produced by designing the stator windings to be electrically different.
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MODELLING AND ANALYSIS OF A TWO PHASE INDUCTION MACHINE WITH NON-ORTHOGONAL STATOR WINDINGS T SREEJITH KAILAS Edited By Sarath S Nair www.technologyfuturae.com
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
2Pole,Unsymmetrical 2-phase induction machine θr www.technologyfuturae.com
Voltage and flux equations VQS,VDS=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) VQS=Rm*iQS+ (P/ωb*ψQS)……(1) VDS=Ra*iDS+(P/ωb*ψDS)……(2) 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 4
Torque Equation Te,Tl =electromagnetic instantaneous torque and load torque J= inertia constant of motor P= number of poles www.technologyfuturae.com 7
Equivalent circuit www.technologyfuturae.com 8 8 8
Advantages • Robustness in its operation • Low cost • Highly reliable Disadvantage • Inability to produce a smoothly rotating internal flux • Needs two capacitors www.technologyfuturae.com
Applications • Mostly used in single phase applications such as • Refrigerators • Washing machines • Furnace fans • Air conditioners www.technologyfuturae.com
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 www.technologyfuturae.com
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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