Application of Lyapunov’s Method for Multi-Machine Power System Stability Analysis

Stability study of nonlinear system is important to solve many underlying problems to minimize the risk of failure. The stability analysis of non-linear system is a challenging problem and Lyapunov method is a powerful tool for predicting stability without obtaining the exact solution. This paper utilizes Krasovskii’s method for the formulation of energy function of two machine infinite bus power system and multi machine power system. Then the obtained energy function has been used for stability study of two machine infinite bus power system with the help of simulations. Different energy curves have been obtained at the equilibrium points for a two-machine infinite bus power system with respect to different system parameters. These results clearly show the range or area of parameters for stable behavior and also show the applicability of the proposed method for stability studies.