Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Invariant Set Based Model Predictive Control of a Three-Phase Inverter System

불변집합에 기반한 삼상 인버터 시스템의 모델예측제어

  • Lim, Jae-Sik (Research Center of Electrical and Information Technology, Seoul National University of Science and Technology) ;
  • Park, Hyo-Seong (Dept. of Control and Instrumentation Engineering, Seoul National University of Science and Technology) ;
  • Lee, Young-Il (Dept. of Control and Instrumentation Engineering, Seoul National University of Science and Technology)
  • 임재식 (서울과학기술대학교 전기정보기술연구소) ;
  • 박효성 (서울과학기술대학교 제어계측공학과) ;
  • 이영일 (서울과학기술대학교 제어계측공학과)
  • Received : 2011.07.30
  • Accepted : 2012.01.02
  • Published : 2012.02.01
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Abstract

This paper provides an efficient model predictive control for the output voltage control of three-phase inverter system which includes output LC filters. Use of SVPWM (Space Vector Pulse-Width-Modulation) and the rotating d-q frame is made to obtain an input constrained dynamic model of the inverter system. From the measured/estimated output current and reference output voltage, corresponding equilibrium values of the inductor current and the control input are computed. Derivation of a feasible and invariant set around the equilibrium state is made and then a receding horizon strategy which steers the current state deep into the invariant set is proposed. In order to remove offset error, use of disturbance observer is made in the form of state estimator. The efficacy of the proposed method is verified through simulations.

Keywords

References

  1. T. L. Tai and J. S. Chen, "UPS inverter design using discrete-time sliding-mode control scheme," IEEE Trans. Industrial Electronics, vol. 49, no. 1, pp. 67-75, Feb. 2002. https://doi.org/10.1109/41.982250
  2. O. Kuker, "Deadbeat control of a three-phase inverter with an output LC filter," IEEE Trans. Power Electronics, vol. 11, no. 1, pp. 16-23, Jan. 1996. https://doi.org/10.1109/63.484412
  3. P. Mattavelli, "An improved deadbeat control for UPS using disturbance observer," IEEE Trans. Industrial Electronics, vol. 52, no. 1, pp. 206-211, Feb. 2005. https://doi.org/10.1109/TIE.2004.837912
  4. P. Cortes, G. Ortiz, J. I. Yuz, J. Rodriguez, S. Vazquez, and L. G. Franquelo, "Model predictive control of an inverter with output LC filter for UPS applications," IEEE Trans. on Industrial Electronics, vol. 56, no. 6, pp. 1875-1883, Jun. 2009. https://doi.org/10.1109/TIE.2009.2015750
  5. P. Cortes, J. Rodriguez, S. Vazquez, and L. G. Franquelo, "Predictive control of a three-phase UPS inverter using two steps prediction horizon," 2010 IEEE ICIT (International Conference on Industrial Technology), Vi a del Mar, pp. 1283-1288, Mar. 2010.
  6. P. C. Loh, M. J. Newman, D. N. Zmood, and D. G. Holmes, "A comparative analysis of multiloop voltage regulation strategies for single and three-phase UPS systems," IEEE Trans. on Power Electronics, vol. 18, no. 5, pp. 1176-1184, Sep. 2003. https://doi.org/10.1109/TPEL.2003.816199
  7. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan Linear Matrix Inequalities in System and Control Theory, SIAM, 1994.
  8. H. Komurcugil and O. Kuker, "Lyapunov-based control for three-phase PWM AC/DC voltage-source converters," IEEE Trans. on Power Electronics, vol. 13, no. 5, pp. 801-813, Sep. 1998. https://doi.org/10.1109/63.712278
  9. Y. I. Lee and B. Kouvaritakis, "Constrained robust model predictive control based on periodic invariance," Automatica, vol. 42, no. 12, pp. 2175-2181, Dec. 2006. https://doi.org/10.1016/j.automatica.2006.07.004
  10. Y. I. Lee, B. Kouvaritakis, and M. Cannon, "Extended invariance and its use in model predictive control," Automatica, vol. 41, no. 12, pp. 2163-2169, Dec. 2005. https://doi.org/10.1016/j.automatica.2005.07.012
  11. M. H. Rashid, Power Electronics, 3rd Ed., Prentice-Hall, 2004.
  12. K.-P. Ahn, J.-S. Lee, J. S. Lim, and Y. I. Lee, "Auto-tuning of PID/PIDA controllers based on step response," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 15, no. 10, pp. 974-981, Oct. 2009. https://doi.org/10.5302/J.ICROS.2009.15.10.974
  13. M. S. Ali, J.-S. Lee, and Y. I. Lee, "Identification of three-parameter model from step response," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 16, no. 12, pp. 1189-1196, Dec. 2010. https://doi.org/10.5302/J.ICROS.2010.16.12.1189

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