Abstract This paper presents a new method based on the circuit theory and game theory for the allocation of reactive power. The allocation is calculated for each load, identifying and quantifying the responsibility of each reactive source. In the proposed method: the generators, line shunt, and bus shunt are modeled as current sources and loads are modeled as constant admittance, and obtained modified Z-bus matrix using circuit theory, which was coupled to the Aumann-Shapley method for calculating the unitary participation of each current source in the reactive power consumed by each load, considering each one as an independent player of the “reactive power allocation” game. The properties of the Aumann-Shapley method ensure equitable allocation and recovery of the total reactive power. Numerical results applied to the 5-bus and IEEE 30-bus systems are presented, discussed and compared with the other methods to demonstrate the applicability of the proposed method.

中文翻译：

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通过改进的 Z 总线和 Aumann-Shapley 方法分配无功功率

摘要 本文提出了一种基于电路理论和博弈论的无功功率分配新方法。为每个负载计算分配，识别和量化每个无功源的责任。在所提出的方法中：发电机、线路分流器和母线分流器被建模为电流源，负载被建模为恒定导纳，并使用电路理论获得修正的 Z 总线矩阵，该矩阵与 Aumann-Shapley 方法耦合计算每个电流源统一参与每个负载消耗的无功功率，将每个电流源视为“无功功率分配”游戏的独立参与者。Aumann-Shapley 方法的特性确保了总无功功率的公平分配和回收。