With the continuous development of microgrids (MGs), a hybrid structure consisting of single-phase MGs and three-phase MGs has been widely promoted. When each submicrogrid (SMG) pursues its economic benefit, it can easily cause a three-phase power unbalance for a grid-connected three/single-phase hybrid multimicrogrid (MMG). To address this problem, an optimization model based on the multileader and multifollower game theory is proposed for a grid-connected three/single-phase hybrid MMG in this paper. In the proposed optimization model, the three-phase unbalance constraints are integrated into the utility functions of the leaders and followers to reduce the impact of the unbalance constraints on the benefits of the participants. The performance of the proposed optimization model is verified by a series of tests. The test results show that the proposed optimization model can effectively reduce the three-phase power unbalance factor of the system and improve the profit of the three/single-phase hybrid MMG.

中文翻译：

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并网三相/单相混合多微电网的优化管理

随着微电网（MG）的不断发展，由单相MG和三相MG组成的混合结构得到了广泛的推广。当每个亚微电网（SMG）追求其经济利益时，它很容易导致并网连接的三相/单相混合多微电网（MMG）出现三相功率不平衡。针对这一问题，本文提出了一种基于多重领导和多重跟随博弈的优化模型，用于并网的三相/单相混合MMG。在提出的优化模型中，将三相不平衡约束整合到领导者和跟随者的效用函数中，以减少不平衡约束对参与者利益的影响。通过一系列测试验证了所提出优化模型的性能。