Tie-line power optimization of hybrid three-phase/single-phase multi-microgrids based on stackelberg game considering three-phase unbalance

For hybrid three-phase/single-phase multi-microgrids, a tie-line power optimization strategy based on Stackelberg game considering three-phase unbalance is proposed. In this paper, a topology of hybrid three-phase/single-phase multi-microgrids and the three-phase unbalance constraint are firstly introduced; then the tie-line power optimization strategy based on a one-leader-multi-follower cooperative Stackelberg game is presented, where the regional microgrid central controller is the leader and all microgrid central controllers are followers, all of whom cooperate on perusing the maximum joint profit and reach their optimal economies. Mathematical payoff models are constructed and the strategy are solved by particle swarm optimization algorithm. The proposed optimization improves the algorithm by Stackelberg game, which removes the strong constraint to help it find the optimal solution instead of shunning the local optima. It is practicable with wide application range. Verified by simulation results, the proposed strategy is workable and efficient, which enhances the economy of each microgrid and mitigates three-phase unbalance.