郝元钊,吴豫,苗福丰,刘一欣.基于不动点映射的多微网与配电网主从博弈定价策略及均衡求解方法[J].电测与仪表,2023,60(11):37-44. HAO YUAN ZHAO,WU YU,MIAO FUFENG,LIU YIXIN.Fixed Point Mapping Based Master-Slave Game Pricing Strategy and Equilibrium Solution Method for Distribution Networks with Microgrids[J].Electrical Measurement & Instrumentation,2023,60(11):37-44.
基于不动点映射的多微网与配电网主从博弈定价策略及均衡求解方法
Fixed Point Mapping Based Master-Slave Game Pricing Strategy and Equilibrium Solution Method for Distribution Networks with Microgrids
With the increasing number of microgrids (MGs) in distribution networks (DNs) and the promotion of market-oriented reforms, it is of great significance to carry out collaborative optimization pricing between MGs and DNs. To this end, this paper proposes a fixed point mapping based master-slave game pricing strategy and equilibrium state solution method for. Firstly, the second-order cone optimal power flow model of DNs with MGs is established, and its equivalent dual model is derived to obtain accurate locational marginal price. Secondly, a price incentivized optimal operation model of MG cluster considering the coordination of energy storage, distributed photovoltaic and elastic load is established. Finally, the pricing strategy is analyzed though the fixed point theory. The optimal response algorithm based on improved extrapolation is used to solve the problem to achieve game equilibrium, and the convergence of the proposed algorithm is proved based on the contraction mapping theorem. Simulation results based on an improved IEEE 33-bus system show that the proposed method can effectively solve the game and obtain the equilibrium solution, and has higher solving efficiency.
