Multi-microgrid-prosumer Group Adaptive Robust Distributed Collaborative Optimization Based on Triple Game

In the context of multi-agent energy sharing, an adaptive robust distributed collaborative optimization method is proposed for a multi-microgrid-prosumer group based on the triple game. Firstly, a triple game framework is constructed to simulate the energy trading model of the multi-microgrid-prosumer group, that is, the cooperative game of the upper-layer multi-microgrid system, the Stackelberg game between each microgrid and the lower-level prosumer group, and the cooperative game of the alliance of the lower-level prosumer group. Secondly, considering that the multi-microgrid system is greatly affected by multiple uncertainties, such as the randomness of renewable energy output and load power internally and the volatility of day-ahead electricity prices externally, a two-stage Adaptive Robust Optimization (ARO) model is established for each microgrid, the trading strategy between the microgrid and external entities will be optimized in the first stage, including the cooperation game with other microgrids, the Stackelberg game with the prosumer group, and the uncertainty of day-ahead electricity prices with the distribution network; the source and load uncertainty of the microgrid is determined based on the polyhedral uncertainty set in the second stage, and the scheduling strategy of the local unit is optimized. Furthermore, the improved Nash bargaining model is used to distribute the benefits of cooperative games at all levels. Finally, a Variable Penalty Parameters Alternating Direction Multiplier Method-Column and Constraint Generation (VPPADMM-C&CG) distributed solution triple game ARO model is used to protect the privacy of each subject. Through the results of different game scenarios, it is verified that the triple game ARO model in this paper can minimize the total social cost and maximize the benefits of multi-microgrid-prosumer groups, which provides a reference for the collaborative optimization of multi-microgrid-prosumer groups in uncertain environments.