Stochastic Small Disturbance Stability Analysis of Nonlinear Power System

Power system is a nonlinear system with many random disturbances. In recent years, the development of electric power industry has caused more and more stochastic factors of the network. The traditional deterministic analysis methods can no longer meet the requirements. Therefore, it has important value of theory and application to apply the thought and method of stochastic system to power system by full analysis of the random disturbance characteristics of power system, and to establish more precise mathematics model of power system and analyze stability of power system. Aimed at external random excitation, the model of non-linear system with random disturbance was constructed and the result that the system is mean stable and mean square stable under stochastic small disturbance was proved in this paper. Euler-Maruyama(EM) algorithm was used to simulate the stability of new England 10 generator 39 bus system, the response trajectories under different random excitation intensity were analyzed, and the stability theory of power system was validated by the simulation results in this paper.