Voltage statbility analysis using Lyapunov function obtained by Krasovskii's method

Abstract

Stability analysis of a nonlinear dynamic system is a challenging task since long time in power system. However, in this paper Lyapunov function is used to find the stability of a nonlinear system very easily without calculating the exact solution. The Lyapunov function, that analyzes the stability of single machine infinite bus system, is constructed using Krasovskii's method. The results obtained by the proposed method shows the variation in energy contents with the variation in load angles and load voltages, for a particular value of generator rotor angle.