基于混合整数二阶锥的三相不平衡配电网最大供电能力计算

Calculation of maximum total supply capacity of three-phase unbalance distribution network based on mixed integer second-order cone

在考虑变电站故障"N-1"校验和潮流分布的基础上,将单相潮流模型转化为三相潮流模型,用三相不平衡度衡量三相潮流的不对称性,利用二阶锥松弛和Big-M法对计算模型进行线性化处理。同时,采用负荷响应和配电网重构等手段提高配电网应对故障的供电可靠性。利用IEEE 33节点三相配电系统仿真分析供电能力与潮流约束、主变容量和分布式电源参数之间的关系。算例结果验证了所提模型的可行性以及二阶锥松弛的准确性,该方法可为配电网规划提供技术参考。

Based on the fault"N-1"check and the distribution of power flow of substation,the single-phase power flow model is further transformed into a three-phase power flow model,and the asymmetry of the threephase power flow is measured by the three-phase unbalance degree.The calculation model is linearized by the second-order cone relaxation and the Big-M method.At the same time,the load response and distribution network reconstruction are used to improve the reliability of the power supply network to cope with the power failure.The relationships between power supply capability and power flow constraints,main transformer capacity and distributed power parameters are analysed by IEEE 33-node three-phase power distribution system.The feasibility of the proposed model and the accuracy of the second-order cone relaxation are verified by numerical examples,which provides a technical reference for distribution network planning.