Design a robust power system stabilizer on SMIB using Lyapunov theory

Abstract

This paper proposes a robust power system stabilizer (PSS) using Lyapunov Stability theory introduced in Optimization & Control in Power System class at University of South Florida. This research examines the robustness of the novel PSS in the synchronous generator connected to an infinite bus (SMIB) system under multiple operation conditions. After deriving the state space matrices of the linear model of the system, the gains of robust PSS are estimated using Lyapunov function in the linear matrix inequality (LMI). The model analyzed in this paper is an electromagnetic model with automatic voltage regulator (EMT+AVR). Then, EMT+AVR model with the robust PSS is analyzed and compared with the conventional PSS. In the simulation part, the nonlinear simulation is conducted in MATLAB/Simulink to compare the conventional PSS and novel PSS.