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Comparative Analysis of Integer-order and Fractional-order Proportional Integral Speed Controllers for Induction Motor Drive Systems

  • Khurram, Adil (Department of Electrical Engineering, American University of Sharjah) ;
  • Rehman, Habibur (Department of Electrical Engineering, American University of Sharjah) ;
  • Mukhopadhyay, Shayok (Department of Electrical Engineering, American University of Sharjah) ;
  • Ali, Daniyal (Department of Electrical Engineering, American University of Sharjah)
  • Received : 2017.03.12
  • Accepted : 2018.01.08
  • Published : 2018.05.20

Abstract

Linear proportional-integral (PI) controllers are an attractive choice for controlling the speed of induction machines because of their simplicity and ease of implementation. Fractional-order PI (FO-PI) controllers, however, perform better than PI controllers because of their nonlinear nature and the underlying iso-damping property of fractional-order operators. In this work, an FO-PI controller based on the proposed first-order plus dead-time induction motor model and integer-order (IO) controllers, such as Ziegler-Nichols PI, Cohen-Coon PI, and a PI controller tuned via trial-and-error method, is designed. Simulation and experimental investigation on an indirect field-oriented induction motor drive system proves that the proposed FO-PI controller has better speed tracking, lesser settling time, better disturbance rejection, and lower speed tracking error compared with linear IO-PI controllers. Our experimental study also validates that the FO-PI controller maximizes the torque per ampere output of the induction machine and can effectively control the motor at low speed, in field-weakening regions, and under detuned conditions.

Keywords

References

  1. J. G. Ziegler and N. B. Nichols, "Optimum settings for automatic controllers," Trans. ASME, Vol. 64, No. 11, 1942.
  2. G. Cohen and G. Coon, “Theoretical consideration of retarded control,” Trans. ASME, Vol. 75, No. 1, pp. 827-834, 1953.
  3. J. Han, “From PID to Active Disturbance Rejection Control,” IEEE Trans. Industrial Electron., Vol. 56, No. 3, pp. 900-906, Mar. 2009. https://doi.org/10.1109/TIE.2008.2011621
  4. T. Terras, S. Hadjeri, A. Mezouar, and T. M. Chikouche, “Robust speed control with rotor resistance estimation,” Canadian J. Elect. Comput. Eng., Vol. 36, No. 2, pp. 43-51, 2013. https://doi.org/10.1109/CJECE.2013.6601079
  5. G. Feng, Y.-F. Liu, and L. Huang, “A new robust algorithm to improve the dynamic performance on the speed control of induction motor drive,” IEEE Trans. Power Electron., Vol. 19, No. 6, pp. 1614-1627, Nov. 2004. https://doi.org/10.1109/TPEL.2004.836619
  6. A. Alexandridis, G. Konstantopoulos, and Q. Zhong, “Advanced integrated modeling and analysis for adjustable speed drives of induction motors operating with minimum losses,” IEEE Trans. Energy Convers., Vol. 30, No. 3, pp. 1237-1246, Sep. 2015. https://doi.org/10.1109/TEC.2015.2392256
  7. Z. Xu, J. Wang, and P. Wang, "Passivity-based control of induction motor based on Euler-Lagrange (EL) model with flexible damping," in Int. Conf. Elect. Machines and Syst., pp. 48-52, 2008.
  8. S. Chai, L. Wang, and E. Rogers, “A cascade MPC control structure for a PMSM with speed ripple minimization,” IEEE Trans. Ind. Electron., Vol. 60, No. 8, pp. 2978-2987, Aug. 2013. https://doi.org/10.1109/TIE.2012.2201432
  9. J. Li, H.-P. Ren, and Y.-R. Zhong, “Robust speed control of induction motor drives using first-order auto-disturbance rejection controllers,” IEEE Trans. Ind. Appl., Vol. 51, No. 1, pp. 712-720, Jan. 2015. https://doi.org/10.1109/TIA.2014.2330062
  10. E. Fuentes, D. Kalise, J. Rodriguez, and R. Kennel, “Cascade-free predictive speed control for electrical drives,” IEEE Trans. Ind. Electron., Vol. 61, No. 5, pp. 2176-2184, May 2014. https://doi.org/10.1109/TIE.2013.2272280
  11. P. Alkorta, O. Barambones, J. Cortajarena, and A. Zubizarrreta, “Efficient multivariable generalized predictive control for sensorless induction motor drives,” IEEE Trans. Ind. Electron., Vol. 61, No. 9, pp. 5126-5134, Sep. 2014. https://doi.org/10.1109/TIE.2013.2281172
  12. H. Michalska and D. Mayne, "Receding horizon control of nonlinear systems," in Proc. 28th IEEE Conf. Decision Control, Vol. 1, pp. 107-108, 1989.
  13. V. Utkin, “Sliding mode control design principles and applications to electric drives,” IEEE Trans. Ind. Electron., Vol. 40, No. 1, pp. 23-36, Feb. 1993. https://doi.org/10.1109/41.184818
  14. X. Zhang, “Sensorless induction motor drive using indirect vector controller and sliding-mode observer for electric vehicles,” IEEE Trans. Veh. Technol., Vol. 62, No. 7, pp. 3010-3018, Sep. 2013. https://doi.org/10.1109/TVT.2013.2251921
  15. Y. Wang, Z. Wang, J. Yang, and R. Pei, "Speed regulation of induction motor using sliding mode control scheme," in Conf. Rec. IEEE-IAS Annu. Meeting, Vol. 1, pp. 72-76, 2005.
  16. A. Saghafinia, H. W. Ping, M. Uddin, and K. Gaeid, “Adaptive fuzzy sliding-mode control into chattering-free IM drive,” IEEE Trans. Ind. Appl., Vol. 51, No. 1, pp. 692-701, Jan. 2015. https://doi.org/10.1109/TIA.2014.2328711
  17. B. Heber, L. Xu, and Y. Tang, “Fuzzy logic enhanced speed control of an indirect field-oriented induction machine drive,” IEEE Trans. Power Electron., Vol. 12, No. 5, pp. 772-778, Sep. 1997. https://doi.org/10.1109/63.622994
  18. M. Uddin, Z. R. Huang, and A. Hossain, “Development and implementation of a simplified self-tuned neuro fuzzybased IM drive,” IEEE Trans. Ind. Appl., Vol. 50, No. 1, pp. 51-59, Jan. 2014. https://doi.org/10.1109/TIA.2013.2269131
  19. M. Masiala, B. Vafakhah, J. Salmon, and A. Knight, “Fuzzy self-tuning speed control of an indirect fieldoriented control induction motor drive,” IEEE Trans. Ind. Appl., Vol. 44, No. 6, pp. 1732-1740, Nov. 2008. https://doi.org/10.1109/TIA.2008.2006342
  20. S. K. Sahoo, T. Bhattacharya, and M. Aravind, "A synchronized sinusoidal PWM based rotor flux oriented controlled induction motor drive for traction application," in Proc. IEEE APEC, pp. 797-804, 2013.
  21. P.-Y. Lin and Y.-S. Lai, “Novel voltage trajectory control for field weakening operation of induction motor drives,” IEEE Trans. Ind. Appl., Vol. 47, No. 1, pp. 122-127, Jan./Feb. 2011. https://doi.org/10.1109/TIA.2010.2091092
  22. S.-H. Kim and S.-K. Sul, “Maximum torque control of an induction machine in the field weakening region,” IEEE Trans. Ind. Appl., Vol. 31, No. 4, pp. 787-794, Jul./Aug. 1995. https://doi.org/10.1109/28.395288
  23. M. Mengoni, L. Zarri, A. Tani, G. Serra, and D. Casadei, “A comparison of four robust control schemes for field-weakening operation of induction motors,” IEEE Trans. Power Electron., Vol. 27, No. 1, pp. 307-320, Jan. 2012. https://doi.org/10.1109/TPEL.2011.2156810
  24. D. Valerio, "Ninteger v. 2.3 fractional control toolbox for Matlab," 2005. [Online]. Available: https://www.mathworks.com/matlabcentral/fileexchange/8312-ninteger
  25. A. Khurram, "Performance enhancement of field oriented induction motor drive system," Master's Thesis, American University of Sharjah, 2016.
  26. A. Khurram, H. Rehman, and S. Mukhopadhyay, "A high performance speed regulator design for ac machines," in Applied Power Electronics Conference and Exposition (APEC), pp. 2782-2787, 2016.
  27. Y. Chen, T. Bhaskaran, and D. Xue, "Practical tuning rule development for fractional order proportional and integral controllers," J. Computational Nonlinear Dynamics, Vol. 3, No. 2, p. 021403, Feb. 2008. https://doi.org/10.1115/1.2833934
  28. T. Hagglund and K. J. Astrom, “Revisiting the Ziegler-Nichols tuning rules for PI control,” Asian J. Contr., Vol. 4, No. 4, pp. 364-380, 2002.
  29. S. Mukhopadhyay, "Fractional order modeling and control: development of analog strategies for plasma position control of the STOR-1M tokamak," Master's Thesis, Utah State University, p. 460, 2009.
  30. P. Lanusse, J. Sabatier, and A. Oustaloup, "Extension of PID to fractional orders controllers: a frequency-domain tutorial presentation," IFAC Proceedings, Vol. 47, No. 3, pp. 7436-7442, 2014. https://doi.org/10.3182/20140824-6-ZA-1003.01053
  31. S. Manabe, "The non-integer integral and its application to control systems," Japanese Inst. Electrical Engineers J., Vol. 80, No. 860, pp. 589-597, 1960.
  32. I. Podlubny, Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications, Academic Press, Vol. 198, 1998.