Abstract: In order to make full use of demand response resources and improve the reliability of microgrid optimal scheduling, a daily optimal scheduling model considering differential price demand response is proposed in this paper. On this basis, further combining differential demand response mechanism with model predictive control method, a daily time domain rolling optimal scheduling model is constructed with the goal of minimizing the comprehensive operation cost in rolling time domain. In view of the complexity of the above time domain rolling optimization scheduling problem, a time domain rolling compound differential evolution algorithm is proposed to solve the model efficiently and rapidly. The effectiveness and superiority of the proposed method are verified by an example of microgrid.