New Lyapunov functions for power systems based on minimal realizations

Abstract

In this paper the state models of an n-machine power system for stability studies are obtained in the ‘ minimal state space ’ based on the concept of the degree of a rational function matrix. Lyapunov functions are then constructed for these models in a systematic manner using Anderson's theorem for multi-non-linear systems. These Lyapunov functions are different from those currently obtainable in the literature for power systems.