Generalized d-q Model of n-Phase Induction Motor Drive

Authors: G. Renukadevi, K. Rajambal

Abstract:

This paper presents a generalized d-q model of n- phase induction motor drive. Multi -phase (n-phase) induction motor (more than three phases) drives possess several advantages over conventional three-phase drives, such as reduced current/phase without increasing voltage/phase, lower torque pulsation, higher torque density, fault tolerance, stability, high efficiency and lower current ripple. When the number of phases increases, it is also possible to increase the power in the same frame. In this paper, a generalized dq-axis model is developed in Matlab/Simulink for an n-phase induction motor. The simulation results are presented for 5, 6, 7, 9 and 12 phase induction motor under varying load conditions. Transient response of the multi-phase induction motors are given for different number of phases. Fault tolerant feature is also analyzed for 5-phase induction motor drive.

Keywords: d-q model, dynamic Response, fault tolerant feature, Matlab/Simulink, multi-phase induction motor, transient response.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1088644

References:

[1] D. Novotony, and T.A. Lipo, Vector control and dynamics of ac drives, Clarendon Press, Oxford, UK, 2000.
[2] Bimal K. Bose, Modern power electronics and ac drives, Prentice Hall 2002.
[3] D.C. White and H.H. Woodson, New Electromechanical energy conversion, John Wiley and Sons, New York, 1957.
[4] E.E. Ward and H. Harer, “Preliminary investigation of an inverter fed five-phase induction motor”, Proc. IEE 116 (6), 1969, pp. 980- 984.
[5] T.M. Jahns, “Improved reliability in solid-state AC drives by means of multiple independent phase-drive units”, IEEE Transactions on Industry Applications, vol. IA-16, no. 3, may.-jun.1980, pp. 321-331.
[6] S. Williamson and A.C. Smith, “Pulsating torque and losses in multiphase induction machines”, IEEE Trans. Ind. Appl., vol. 39, no. 4, pp. 986-993, July/Aug. 2003.
[7] M. A. Abbas, R. Christen, and T. M. Jahns, “Six-phase voltage source inverter driven induction motor,” IEEE Trans. Ind. Applicat., vol. IA-20,no. 5, pp. 1251–1259, Sept./Oct. 1984.
[8] R. Lyra and T. A. Lipo, “Torque density improvement in a six- phase induction motor with third harmonic current injection”, IEEE Trans. Ind. Appl. Vol. 38, no. 5, pp. 1351-1360, Sept./Oct. 2002.
[9] M. Apsley and Williamson, “Analysis of multi-phase inductions with winding faults”, Proc. IEEE IEMDC, San Antonio, TX, pp.249-255, 2005.
[10] J.M. Apsley, S. Williamsons, A.C. Smith and M. Barnes, “Induction motor performance as a function of phase number”, Proc. Int. Electr. Eng.-Electr. Power Appl., vol. 153, no. 6, pp. 898-904, Nov. 2006.
[11] Boglietti, R. Bojoi, A. Cavagnino, and A. Tenconi, “Efficiency analysis of PWM inverter fed three-phase and dual three-phase induction machines,” in Conf. Rec. IEEE IAS Annu. Meeting, Tampa, FL, 2006, pp. 434–440.
[12] D. Dujic, M. Jones, and E. Levi, “Analysis of output current ripple rms in multiphase drives using space vector approach”, IEEE Trans. On Power Elect, vol. 24, no. 8, pp. 1926-1938, Aug. 2009.
[13] A. Toliyat, T.A. Lipo and J.C. White, “Analysis of concentrated winding machine for adjustable speed drive applications-Part II: Motor design performance”, IEEE Tras. Energ Conv., vol. 6, no. 4, pp. 684-692, Dec. 1991.
[14] Y. Zhao and T. A. Lipo, “Modeling and control of a multi-phase induction machine with structural unbalance. Part I: Machine modeling and multi-dimensional current regulation,” IEEE Trans. Energy Convers., vol. 11, no. 3, pp. 570–577, Sep. 1996.
[15] Y. Zhao and T. A. Lipo, “Modeling and control of a multi-phase induction machine with structural unbalance. Part II: Field-oriented control and experimental verification,” IEEE Trans. Energy Convers., vol. 11, no. 3, pp. 578–584, Sep. 1996.
[16] E. A. Klingshirn, “High phase order induction motors—Part I—Description and theoretical considerations,” IEEE Trans. Power App. Syst., vol. PAS-102, no. 1, pp. 47–53, Jan. 1983.
[17] E. A. Klingshirn, “High phase order induction motors—Part II— Experimental results,” IEEE Trans. Power App. Syst., vol. PAS-102, no. 1, pp. 54–59, Jan. 1983.
[18] R. H. Nelson and P. C. Krause, “Induction machine analysis for arbitrary displacement between multiple winding sets,” IEEE Trans. Power App. Syst., vol. PAS-93, no. 3, pp. 841–848, May 1974.
[19] T. A. Lipo, “A d-q model for six phase induction machines,” in Proc. Int. Conf. Electrical Machines (ICEM), Athens, Greece, 1980, pp. 860–867.
[20] Wang, S. C. Foroosh, J. Jatskevich, and A. Davoudi, “Physical variable modeling of multi-phase induction machines,” Canadian Conference on Electrical and Computer Engineering CCECE, pp. 999-1004, Niagara Falls, Canada, 2008.
[21] N. Golubev and V. V. Zykov, “Asynchronous motor with multiphase stator and rotor windings,” Russ. Electr. Eng., vol. 74, no. 7, pp. 43–51, 2003.
[22] Pereira, L.A., Scharlau, C.C., Pereira, L.F.A., and Haffner, J.F.: ‘Model of a five-phase induction machine allowing for harmonics in the air-gap field, Part I: Parameter determination and general equations’. Proc. IEEE Industrial Electronics Society Annual Meeting IECON. Busan, Korea, 2004, CD-ROM paper WC3-6
[23] Pereira, L.A., Scharlau, C.C., Pereira, L.F.A., and Haffner, J.F.: ‘Model of a five-phase induction machine allowing for Harmonics in the air-gap field, Part II: Transformation of co- ordinates and d-q models’. Proc. IEEE Industrial Electronics Society Annual Meeting IECON. Busan, Korea, 2004, CD-ROM paper TD3-4
[24] L. A. Pereira, C. C. Scharlau, L. F. A. Pereira, and J. F. Haffner, “General model of a five-phase induction machine allowing for harmonics in the air gap field,” IEEE Trans. Energy Convers., vol. 21, no. 4, pp. 891–899,Dec. 2006.
[25] Kestelyn, X., Semail, E., and Hautier, J.P.: ‘Vectorial multi- Machine modeling for a five-phase machine’. Proc. Int. Conf. on Electrical Machines ICEM. Bruges, Belgium, 2002, CD-ROM paper 394.
[26] Semail, E., Bouscayrol, A., and Hautier, J.P.: ‘Vectorial formalism for analysis and design of polyphase synchronous machines’, Eur.Phys. J. Appl. Phys., 2003, 22, (3), pp. 207– 220.
[27] G. K. Singh, “Multi-phase induction machine drive research – a survey,” Electric Power System Research, vol. 61, pp. 139-147, 2002.
[28] R. Bojoi, F. Farina, F. Profumo, and A. Tenconi, “Dual-three phase induction machine drives control—A survey,” IEEE Trans. Ind. Appl., vol. 126, no. 4, pp. 420–429, 2006.
[29] E. Levi, R. Bojoi, F. Profumo, H. A. Toliyat and S. Williamson, “Multi- phase induction motor drives-A technology status review”, IET Elect. Power Appl. vol. 1, no. 4, pp. 489-516, July 2007.
[30] E. Levi, “Multi-phase Machines for Variable speed applications” IEEE Trans. Ind. Elect., vol. 55, no. 5, pp. 1893- 1909, May 2008.