DESIGN OF A ROBUST FUZZY POWER SYSTEM STABILIZER

M. Soliman,∗ A.-L. Elshafei,∗∗ F. Bendary,∗ and W. Mansour∗

Keywords

Power system stability, robustness, LMI, TS fuzzy model, PDC, fuzzy observer/regulator

Abstract

To enhance the performance and widen the operating range, the design of a fuzzy observer-based power system stabilizer (PSS) is presented in this paper. A new practical design, which guarantees robust pole-clustering in an acceptable region in the complex plane for a wide range of operating conditions, is proposed. The nonlinear power system model with uncertainties is initially approximated by a Takagi-Sugeno (T-S) fuzzy system. A fuzzy observer/regulator based on a parallel distributed compensation (PDC) control law is suggested. Sufficient design conditions are derived in the form of linear matrix inequalities (LMI). The design procedure leads to a convex optimization problem in terms of the observer and stabilizer gain matrices. Simulations results of both single-machine and multimachine power systems confirm the effectiveness of the proposed PSS design.

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