The Stochastic Stabilities and Simulations of Multi-machine Power System Based on SDE

Abstract

This paper discusses the influence of random factors on power system based on theories of stochastic differential equations (SDE). Firstly, we build a stochastic power system model using the power fluctuation as random excitation, and then analyze the stochastic stability of stochastic power system. Next, based on four machine two area system, we get the dynamic curve of rotor angle of multi-excitation system through dynamic simulation. Finally, the power spectrum analysis shows that random excitation can induce regional weakly damped oscillation mode.