Stability analysis of wide-area damping control system with stochastic communication time delay

Stochastic time delay is a new challenge brought out by communication network in wide-area damping control system. Uncertainty introduced by stochastic time delay increases the difficulty of modeling and stability analysis. In this paper, a new approach of stability analysis through expectation model is proposed to solve the problem of uncertainty in wide-area controlled power systems considering the effect of stochastic time delay. In the proposed method, expectation model considering detailed stochastic time delay distribution is derived to accurately model the impact of communication network on wide-area control performance. Then, through matrix transformation of expectation model, eigenvalue of wide-area damping control system considering time delay can be calculated, which can be used for analyzing the system stability. Finally, the effectiveness of this method is verified through the simulation of a power system with 8 generators and 36 nodes with different types of time delay distribution.