Quasi generalized Hamiltonian model of power systems considering the reference node under stochastic excitations

Abstract

With the increasing integration of renewable power and electric vehicles, stochastic power fluctuations(stochastic excitations) have attracted much attention. The theory of nonlinear stochastic dynamics and control in Hamiltonian formulation has offered many useful tools to analyze the stochastic dynamics of multi-machine power systems. However, the quasi Hamiltonian model should be set up before the theory is used. This paper presents a quasi generalized Hamiltonian model which can describe the dynamics of multi-machine power systems considering the reference node. Then, the quasi generalized Hamiltonian model is compared with the quasi classical Hamiltonian model. The results of stochastic averaging analytical method based on the two model both agree well with the Monte Carlo results. Meanwhile, the stochastic averaging analytical method based on the quasi generalized Hamiltonian model has a big advantage in time consuming.