P-moment stability of power system under small Gauss type random excitation

Abstract

The stability of power systems in the uncertain environment has been increasingly concerned. The main discussion in this paper is the p-moment stability of power system under small Gauss type random excitation. By Lyapunov method, Ito isometry formula, matrix theory and so on, the p-moment stability theorem of stochastic models is proved when p is greater than or equal to 2. The previous conclusions of mean square stability are particular cases of our p-moment stability theorem. Taking a one machine and infinite bus system as a simulation example, using Euler–Maruyama numerical method, the angle curves under random excitation were simulated. The p-moment stability of the power system under Gauss type of random small excitation are verified and illustrated by simulation samples.