고정 구조를 가지는$H_\infty$ 전력계통 안정화 장치 설계

Design of a Fixed-Structure H$_{\infty}$ Power System Stabilizer

  • 발행 : 2004.12.01

초록

This paper deals with the design of a fixed-structure $H_\infty$ power system stabilizer (PSS) by using an iterative linear matrix inequality (LMI) method. The fixed-structure $H_\infty$ controller is represented in terms of LMIs with a rank condition. To solve the non-convex rank-constrained LMI problem, a linear penalty function is incorporated into the objective function so that minimizing the penalized objective function subject to LMIs amounts to a convex optimization problem. With an increasing sequence of the penalty parameter, the solution of the penalized optimization problem moves towards the feasible region of the original non-convex problem. The proposed algorithm is, therefore, convergent. Numerical experiments show the practical applicability of the proposed algorithm.

키워드

참고문헌

  1. P. Kundur, Power System Stability and Control, McGraw-Hill, 1994
  2. E. V. Larsen and D. A. Swann, 'Applying power system stabilizers, Parts I, II, III', IEEE Trans. Vol. PAS-100, pp. 3017-3046, 1981 https://doi.org/10.1109/TPAS.1981.316355
  3. S. Chen and O. P. Malik, 'Power system stabilizer design using ${\mu}$-synthesis,' IEEE Trans. Energy Conversion, Vol. 10, No. 1, pp. 175-181, 1995 https://doi.org/10.1109/60.372584
  4. H. Werner, P. Korba and T. C. Yang, 'Robust tuning of power system stabilizers using LMI-techniques', IEEE Trans. Control Systems Technology, Vol. 11, No. 1, pp. 147-152, 2003 https://doi.org/10.1109/TCST.2002.806449
  5. P. S. Rao and I. Sen, 'Robust pole placement stabilizer design using linear matrix inequalities', IEEE Trans. Power Systems, Vol. 15, No. 1, pp. 313-319, 2000 https://doi.org/10.1109/59.852138
  6. J. K. Shiau, G. N. Taranto, J. H. Chow and G. Boukarim, 'Power swing damping controller design using an iterative linear matrix inequality algorithm', IEEE Trans. Control System Technology, Vol. 7, No. 3, pp. 371-381, 1999 https://doi.org/10.1109/87.761057
  7. T. Okada, T. Watanabe and K. Yasuda, 'Parameter tuning of fixed structure controller for power system stability enhancement', IEEE/PES Transmission and Distribution Conference and Exhibition, Vol. 1, pp. 162-167, 2002 https://doi.org/10.1109/TDC.2002.1178277
  8. Y, L. Abdel-Magid, M. Bettayeb and M. M. Dawoud, 'Simultaneous stabilization of power systems using genetic algorithms', IEE Proc.-Gener. Transm. Distrib. Vol. 144, No. 1, pp. 39-44, 1997 https://doi.org/10.1049/ip-gtd:19970785
  9. S. Ibaraki and M. Tomizuka, '$H_{\infty}$ optimization of fixed structure controllers', Proc. of the International Mechanical Engineering Congress and Exhibition (IMECE), 2000
  10. K. C. Goh, M. G. Safonov and G. P. Papavassilopoulos, 'A global optimization approach for the BMI problem', In Proc. IEEE Conf. on Decision and Control, pp. 2009-2114, 1994 https://doi.org/10.1109/CDC.1994.411445
  11. L. El Ghaoui, F. Oustry and M. Rami, 'A cone complementarity linearization algorithm for static output feedback and related problems', IEEE Trans. on Automatic Control, Vol. 42, No. 8, pp. 1171-1176, 1997 https://doi.org/10.1109/9.618250
  12. P. W. Sauer and M. A. Pai, Power System Dynamics and Stability, Prentice Hall Inc. 1998
  13. R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, 1986
  14. D. G. Luenberger, 'Linear and Nonlinear Programming', Addison-Wesley, 1982