An adaptive control strategy based on continuous Markov model for time-varying power system is proposed to deal with the large variation in operating condition of power system caused by the wind generator output fluctuation. First

Lyapunov functional containing a continuous Markov model of time-varying power system is developed and Dynkin lemma is used to deduce the robust stochastic stabilization theorem with H∞ norm bound γ. On this basis

Schur complement lemma is used to deduce robust stochastic stabilization linear matrix inequalities(LMI)meeting decay rate γ and minimum variance constraints considering steady-state variance constraints of various operating conditions. Then it is turned into a minimization problem of linear objective function to obtain the sub-controllers. The operating condition is identified online with the stochastic gradient method and the weighted coefficient of each condition is determined to construct the adaptive control strategy. Time-domain simulation results show that the strategy has efficiently solved the problem that fixed fault sets cannot be matched with current operating condition reasonably. This work is supported by National Natural Science Foundation of China(No. 50907021

No. 51277193)

National Basic Research Program of China(973 Program)(No. 2012CB215200)

and Fundamental Research Funds for the Central Universities(No. 2014ZZD02).