DOI QR코드

DOI QR Code

Design of an Adaptive Robust Controller Based on Explorized Policy Iteration for the Stabilization of Multimachine Power Systems

다기 전력 시스템의 안정화를 위한 탐색화된 정책 반복법 기반 적응형 강인 제어기 설계

  • Chun, Tae Yoon (Department of Electrical Engineering, Yonsei University) ;
  • Park, Jin Bae (Department of Electrical Engineering, Yonsei University)
  • 전태윤 (연세대학교 전기전자공학과) ;
  • 박진배 (연세대학교 전기전자공학과)
  • Received : 2014.02.12
  • Accepted : 2014.06.13
  • Published : 2014.11.01

Abstract

This paper proposes a novel controller design scheme for multimachine power systems based on the explorized policy iteration. Power systems have several uncertainties on system dynamics due to the various effects of interconnections between generators. To solve this problem, the proposed method solves the LQR (Linear Quadratic Regulation) problem of isolated subsystems without the knowledge of a system matrix and the interconnection parameters of multimachine power systems. By selecting the proper performance indices, it guarantees the stability and convergence of the LQ optimal control. To implement the proposed scheme, the least squares based online method is also investigated in terms of PE (Persistency of Excitation), interconnection parameters and exploration signals. Finally, the performance and effectiveness of the proposed algorithm are demonstrated by numerical simulations of three-machine power systems with governor controllers.

Keywords

References

  1. N. Yadaiah and R. N. Venkata, "Linearisation of multi-machine system: modeling and control - a survey," Int. J. Electrical Power and Energy Syst., vol. 29, no. 4, pp. 297-311, May 2007. https://doi.org/10.1016/j.ijepes.2006.06.011
  2. Y. N. Yu and H. A. M. Moussa, "Optimal stabilization of multimachine systems," IEEE Trans. Power Appar. Syst., vol. PAS-91, no. 3, pp. 1174-1182, May 1972. https://doi.org/10.1109/TPAS.1972.293474
  3. D. D. Siljak, D. M. Stipanovic, and A. I. Zecevic, "Robust decentralized turbine/governor control using linear matrix inequalities," IEEE Trans. Power Syst., vol. 17, no. 3, pp. 715-722, Aug. 2002. https://doi.org/10.1109/TPWRS.2002.800959
  4. Y. Wang, D. J. Hill, and G. Guo, "Robust decentralized control for multimachine power system," IEEE Trans. Circuits Syst. I, vol. 45, no. 3, pp. 271-279, Mar. 1998. https://doi.org/10.1109/81.662700
  5. Y. Wang, G. Guo, and D. J. Jill, "Robust decentralized nonlinear controller design for multimachine power systems," Automatica, vol. 33, no. 9, pp. 1725-1733, Sep. 1997. https://doi.org/10.1016/S0005-1098(97)00091-5
  6. R. Yan. Z. Dong, T. K. Saha, and R. Majumder, "A power system nonlinear adaptive decentralized controller design," Automatica, vol. 46, no. 2, pp. 330-336, Feb. 2010. https://doi.org/10.1016/j.automatica.2009.10.020
  7. S. K. Yee and V. Milanovic, "Fuzzy logic controller for decentralized stabilization of multimachine power systems," IEEE Trans. Fuzzy Syst., vol. 16, no. 4, pp. 971-981, Aug. 2008. https://doi.org/10.1109/TFUZZ.2008.917296
  8. R. S. Sutton and A. G. Barto, Reinforcement Learning: an introduction, MIT Press, Cambridge, Massachussetts, 1988.
  9. J. J. Murray, C. J. Cox, G. G. Lendaris, and R. Saeks, "Adaptive dynamic programming," IEEE Trans. Syst., Man, Cybern., vol. 32, no. 2, pp. 140-153, May 2002. https://doi.org/10.1109/TSMCC.2002.801727
  10. D. Vrabie, O. Pastravanu, M. Abu-Khalaf, and F. L. Lewis, "Adaptive optimal control for continuous-time linear systems based on policy iteration," Automatica, vol. 45, no. 2, pp. 477-484, Feb. 2009. https://doi.org/10.1016/j.automatica.2008.08.017
  11. J. Y. Lee, J. B. Park, and Y. H. Choi, "Integral Q-learning and explorized policy iteration for adaptive optimal control of continuous-time linear systems," Automatica, vol. 48, no. 11, pp. 2850-2859, Nov. 2012. https://doi.org/10.1016/j.automatica.2012.06.008
  12. Y. Jiang and Z. P. Jiang, "Robust adaptive dynamic programming for large-scale systems with an application to multimachine power systems," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 59, no. 10, pp. 693-697, Oct. 2012. https://doi.org/10.1109/TCSII.2012.2213353
  13. H. Jiang, H. Cai, J. F. Dorsey, and Z. Qu, "Toward a globally robust decentralized control for large-scale power systems," IEEE Trans. Control Syst. Technol., vol. 5, no. 3, pp. 309-319, May 1997. https://doi.org/10.1109/87.572128
  14. H. K. Khalil, Nonlinear Systems, Prentice Hall, 2002.
  15. D. Kleinman, "On an iterative technique for Riccati equation computations," IEEE Trans. Autom. Control, vol. AC-13, no. 1, pp. 114-115, Feb. 1968.