A general power system control technique based on Lyapunov´s function

This paper presents a general adaptive control scheme for regulating power system devices. The main idea of the paper is to build a fictitiou set of differential equations starting from a function that satisfie Lyapunov´s second stability criterion. In such a way, the fictitiou set of differential equations surely converge to a stable equilibrium point. We propose to use this mathematical tool to control arbitrary power system devices and to improve the transient behavior of the whole network. We apply the proposed technique to stabilize synchronous machine oscillations and show that the proposed controller provides better results than the conventional power system stabilizer. Finally, the paper provides several remarks on the applicability of the proposed technique.