Stochastic averaging method for quasi Hamiltonian system of multi-machine power systems

Abstract

With the integration of renewable power and electric vehicles into the power grid, the stochastic excitations, which can be regarded as stochastic power fluctuations in power system, are of concern. The dynamics of the multi-machine power system under stochastic excitations can be studied by using the stochastic differential equations(SDEs). With the features of the high order and nonlinearity, the SDEs are usually studied by using Monte Carlo method instead of analytical method. The analytical method of stochastic averaging method is used to study the Hamiltonian system widely, and has been applied in the one-machine to infinity-bus system successfully. In this paper, the stochastic averaging method is employed to study the dynamics of the multi-machine power system, and the complicated stochastic dynamic process of the multi-machine power system under stochastic excitations is simplified to a one-dimensional diffusion process. The proposed approach performed in a four-machine power system, and its effectiveness is tested.