Parameter tuning of fixed structure controller for power system stability enhancement

This paper presents a new method to design fixed-structure controllers for enhancing stability of power systems. Generally, in a robust control design, high-order dynamical controllers are obtained by solving a convex optimization problem. However, it is difficult to implement the high-order robust controllers in existing control devices such as SVC and PSS. We show that a robust controller design subject to constraints on the controller structure can be formulated as a BMI problem. Then, we propose a successive approximation algorithm to solve the BMI problem. The algorithm is based on solving linear matrix inequalities from initial conditions obtained by particle swarm optimization. Using a simple model with weakly damped interarea power oscillation modes, we verify that a proposed algorithm is practically useful.

[1]  Masahiro Takasaki,et al.  Optimization Method of SVC's Parameters for Stability Enhancement in a Large-scale Power System , 1992 .

[2]  K. Glover All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds† , 1984 .

[3]  P. Gahinet,et al.  A linear matrix inequality approach to H∞ control , 1994 .

[4]  Tetsuya Iwasaki,et al.  All controllers for the general H∞ control problem: LMI existence conditions and state space formulas , 1994, Autom..

[5]  B. Moore Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .

[6]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[7]  Yasuyuki Tada,et al.  A Method for Damping Controller Design Using Transfer Function Identification Technique and Robust Stability Degree Assignment Method , 1998 .

[8]  Hiroshi Sasaki,et al.  Improving the robustness of H/sub /spl infin//-PSSs using the polynomial approach , 1998 .

[9]  I. Masubuchi,et al.  LMI-based output feedback controller design-using a convex parametrization of full-order controllers , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[10]  Hiroshi Okamoto,et al.  A Method for SVC Damping Controller Design Using Robust Pole Assignment Method , 1997 .

[11]  B. Anderson,et al.  Controller Reduction: Concepts and Approaches , 1987, 1987 American Control Conference.

[12]  G.J. Rogers,et al.  H/sub /spl infin damping controller design in large power systems , 1995 .

[13]  Stephen P. Boyd,et al.  Method of centers for minimizing generalized eigenvalues , 1993, Linear Algebra and its Applications.