Design of minimum entropy H<inf>∞</inf> excitation controller

Abstract

A sub-optimal H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> controller with the minimum entropy bound is designed by researching the characteristic of minimum entropy H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> optimal control in this paper. The controller which satisfies closed-loop minimum entropy can obtain an important tradeoff between the robustness of H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> controller and the performance of H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> controller. The augmented transfer function of generator excitation controller is developed for the single machine infinite bus (SMIB) power system. A new robust nonlinear excitation control strategy for SMIB power system is designed based on minimum entropy H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> , control. The simulation results show that the proposed minimum entropy H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> excitation controller improves system robustness on dynamic uncertainties, and suppresses the exogenous perturbation to the system. So the proposed approach can enhance dynamic stability of power system.