Improved Direct Torque Control of Permanent Magnet Synchronous Electrical Vehicle Motor with Proportional-Integral Resistance Estimator

  • Hartani, Kada (Dept. of Electrical Engineering, University of Saida Algeria) ;
  • Miloud, Yahia (Dept. of Electrical Engineering, University of Saida Algeria) ;
  • Miloudi, Abdellah (Dept. of Electrical Engineering, University of Saida Algeria)
  • Received : 2010.02.16
  • Accepted : 2010.06.10
  • Published : 2010.09.01


Electric vehicles (EVs) require fast torque response and high drive efficiency. This paper describes a control scheme of fuzzy direct torque control of permanent magnet synchronous motor for EVs. This control strategy is extensively used in EV application. With direct torque control (DTC), the electromagnetic torque and stator flux can be estimated using the measured stator voltages and currents. The estimation depends on motor parameters, except for the stator resistance. The variation of stator resistance due to changes in temperature or frequency downgrades the performance of DTC, which is controlled by introducing errors in the estimated flux linkage vector and the electromagnetic torque. Thus, compensation for the effect of stator resistance variation becomes necessary. This work proposes the estimation of the stator resistance and its compensation using a proportional-integral estimation method. An electronic differential has been also used, which has the advantage of replacing loose, heavy, and inefficient mechanical transmission and mechanical differential with a more efficient, light, and small electric motors that are directly coupled to the wheels through a single gear or an in-wheel motor.


  1. C. Chan, “The state of the art of electric and hybrid vehicles,” Proc. Of the IEEE, Vol. 90, No. 2, pp. 247-275, Feb. 2002.
  2. J. Faiz, M.B.B. Sharifian, A. Keyhani, A.B. Proca, “Sensorless direct torque control of induction motors used in electric vehicle,” IEEE, Trans. Energy Conversion, Vol. 18, No. 1, Mar. 2003.
  3. J. Faiz, S.H. Hossieni, M. Ghaneei, A. Keyhani, A.B. Proca, “Direct torque control of induction motors for electric propulsion systems,” Electric Power System Research, Vol. 51, pp. 95-101, Aug. 1999.
  4. K. Jezernik, “Speed sensorless torque control of induction motor for EV’s,” Proc. Workshop on Advanced Motion Control, pp. 236-241, 2002.
  5. M.A. Rahman, R. Qin, “A permanent magnet hysteresis hybrid synchronous motor for electric vehicles,” IEEE Trans. Ind. Electron. Vol. 44, No. 1, pp. 46-53, Feb. 1997.
  6. W. Shihua, S. Liwei, C. Shumei, “Study on improving the performance of permanent magnet wheel motor for the electric vehicle application,” IEEE, Trans. Magn. Vol. 43, No. 1, Jan. 2007.
  7. A. Bouscaylor, B. Davat, B. de Fornel, B. Fracois, “Multimachine Multiconverter System: application for electromechanical drives,” European Physics Journal – Applied Physics, Vol. 10, No. 2, pp. 131-147, 2000.
  8. E., Benkhoris F., “Control structures for multimachine multi-converter systems with upstream coupling,” Elsevier, Mathematics and computers in simulation, Vol. 63, pp. 261-270, 2003.
  9. I. Takahachi and T. Noguchi, “A new quick-response and high-efficiency control strategy of an induction motor,” IEEE Trans. Ind. Applicat., Vol. 22, No. 5, pp. 820-827, 1986.
  10. T.J. Vyncke, J. A. Melkebeek, and R. K. Boel, “Direct torque control of permanent magnet synchronous motors - an overview,” in conf. Proc. 3rd IEEE Benelux Young Research Symposium in Electrical Power Engineering, No. 28, Ghent, Begium, Apr. 27-28, p.5, 2006.
  11. D. Casadei, G. Serra, A. Tani, “Implementation of direct torque control algorithm for induction motors based on discrt space vector modulation,” IEEE Trans. on Power Electronics. Vol. 15, No. 4, pp. 769-777, July 2000.
  12. C. French, P. Acarnley, “Direct torque control of permanent magnet drives,” IEEE Trans. Ind. Appl. Vol. 32 No. 5, pp. 1080-1088, Sep./Oct. 1996.
  13. B. Hredzak, S., Gair, J.F., Eastham, “Elimination of torque pulsations in a direct drive EV wheel motor,” IEEE Trans.actions Magn. Vol. 32, No. 5, pp. 5010-5012, Sep. 1996.
  14. P. Pragasen, R. Krishnan. “Modeling, Simulation, and Analysis of Permanent Magnets Motor Drives, Part I: The Permanent Magnets Synchronous Motor Drive,” IEEE Transactions on Industry Applications. Vol. 25, No.2, 265-273, 1989.
  15. D.A.J. Rand, R. Woods, R.M. DELL. “Batteries for electric vehicles,” Research Studies. Press Ltd. 1997.
  16. L.T. Lam, R. Lovey, “Development of ultra-battery for hybrid-electric vehicle applications,” Elservier, Power Sources, Vol. 158, pp. 1140-1148, 2006.
  17. S. Kandler, C.Y. Wang, “Power and thermal characterization of Lithium-Ion battery pack for hybridelectric vehicles”, Elservier, Power Sources, Vol. 160, pp. 662-673, 2006.
  18. J. Newan, K.E. Thomas, H. Hafezi, D.R. Wheeler, “Modeling of lithium-ion batteries,” J. Power Source, Vol. 119-121, pp. 838-843, Jun. 2003.
  19. P.M. Gomadam, J.W. Weidner, R.A. Dougal, R.E. White, “Mathematical modeling of lithium-ion and nickel battery systems,” J. Power Source, Vol. 110, No. 2, pp.267-284, Aug. 2002.
  20. Cao, Xianqing, Zang, Chunhua, Fan, Liping, “Direct Torque Controlled Drive for Permanent Magnet Synchronous Motor Based on Neural Networks and Multi Fuzzy Controllers,” IEEE International Conference on Robotics and Biomimetics, 2006. ROBIO '06. pp. 197-201, 2006.
  21. M. Vasudevan, R. Arumugam, “New direct torque control scheme of induction motor for electric vehicles,” 5th Asian Control Conference, Vol. 2, 20-23, pp. 1377-1383, 2004.
  22. S. Mir, M. E. Elbuluk and D. S. Zinger, “PI and Fuzzy Estimators for Tuning the stator resistance in direct torque control of induction machines,” IEEE Transactions Power Electronics, Vol. 13, No. 2, pp. 279-287, March, 1998.
  23. T. Gillespice. “Fundamentals of vehicle dynamics,” Society of Automotive Engineers, ISBN 1-56091-199-9.
  24. Y. Hori, senior member IEEE, “Future vehicles driver by electricity and control research on four wheel motored -UOT electric march II,” IEEE Transactions on Industrial Electronics, Vol. 51, No. 5, pp. 954-962, 2004.
  25. M. Jalili-Kharaajoo, F. Besharati, “Sliding mode traction control of an electric vehicle with four separate wheel drives,” in Proc. IEEE Conf. Emerging Technol-Factory Autom. (ETFA’03), Vol. 2, pp. 291-296, Sep. 16-19, 2003.
  26. R. Rajamani, Vehicle dynamics and control, ISBN 0-387-26396-9, Springer verlag, New York, 2005.
  27. D. Kim, S. Hwang, H. Kim, “Rear motor control for 4WD hybrid electric vehicle stability,” IEEE Conf. pp. 86-91, 2005.
  28. M. Ouladisine, H. Sheain, L.F. Dridman, H. Noura, “Vehicle parameters estimation and stability enhancement using the principle of sliding mode,” American Control Conference, pp. 5224-5229, 2007.

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