以降低网络损耗为目标函数，采用微分进化（DE）算法求解配网重构问题。根据配电网的特点，采用基于独立环路的整数编码方法以降低变量维数。此外，针对进化中存在的无效解问题，以图论代数连通度结论为基础，提出一个能完全去除无效解的判据，进一步缩小了解空间，该方法适用于复杂的实际配电网络计算。在重构网络中引入分布式电源（DG），有效降低了网损，改善了电压质量。最后，对IEEE33节点配网测试系统进行了仿真计算，算例结果表明所提方法具有良好的收敛性和全局搜索能力。%This paper presents the differential evolution (DE) algorithm for solving the optimal distribution system reconfiguration problem for power loss minimization. According to the characteristics of distribution network, an integer encoding method based on independent loop is proposed for reducing the dimension of decision variable. In addition, according to the invalid solution problems existed in the evolution, a criterion based on algebraic connectivity of graph theory is presented for completely removing the invalid solution, further narrowing solution space, and this method is suitable for computing the complicated and practical distribution network; DGs are integrated to reconfiguration network to reduce the network loss and improve the quality of voltage. Finally, simulative results of the IEEE33-bus testing system show that the proposed method has good convergence and global search capability. This work is supported by National Natural Science Foundation of China (No. 51167005).
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