Multi-stage Robust Optimal Planning of Microgrid Clusters in the Environment of Distribution-side Electricity Market

With the development of the distribution power market, an increasing number of microgrids will appear in the distribution system. In this paper, a multi-stage robust optimal planning method for microgrid clusters is proposed to solve the interest conflict between microgrid clusters and distribution system. Based on the master-slave game theory, this method establishes a two-layer programming mathematical model for the distribution network and the microgrid clusters. In the upper layer, the optimal operation model of the distribution network is established to reduce operating costs and improve the voltage level. In the lower layer, the optimal planning model for the microgrid clusters is constructed to determine the allocation and capacity of each microgrid. In addition, considering the uncertainty of load growth, the robust optimization strategy is added in our methodology to improve the robustness of the planning scheme. Because the above model is a robust optimization bi-level programming problem, the Karush-Kuhn- Tucker(KKT) condition is used to convert the original problem into a single-level equilibrium constraint mathematical programming problem, thus the programming problem can be achieved by the Column-and-Constraint Generation(C&CG) algorithm. Finally, through the analysis of IEEE-33 node, the results show that the method improves the ability of the distribution network to absorb renewable energy and the Operation Index of the distribution network, at the same time, it ensures the economic benefits of investors and effectively realizes the coordinated development of distribution network and micro-grid.