基于整数线性规划的配电网故障定位容错算法

为了提高配电网馈线故障定位的速度和容错能力，提出一种基于整数线性规划模型的配电网故障区段定位容错算法。将各馈线终端单元(Feeder Terminal Unit, FTU)的漏报、误报状况和馈线状态作为决策变量，基于最小故障诊断集理论，建立计及FTU漏报、误报信息的故障定位模型。针对逻辑运算在求解大规模配电网故障区段时建模复杂、算法受限的问题，构建基于代数关系运算的开关函数，并提出一种逻辑关系线性化策略将约束条件线性化。所建模型采用具有良好数值稳定性的常规优化方法进行决策，以保证解的全局最优性。仿真算例表明，所提方法定位准确高效、容错性强，在正确定位故障馈线区段的同时能获取具体节点的漏报、误报状况，适用于多节点过流信息发生畸变的大型配电网络。

Fault-tolerant algorithm for fault location in distribution network based on integer linear programming

In order to improve the speed and fault tolerance of feeder fault location in a distribution network, a fault location method based on an integer linear programming model is proposed. The missing and false information of each Feeder Terminal Unit (FTU) and feeder state are taken as decision variables. Based on the theory of minimum fault diagnosis set, a fault location model considering the missing and false information of the FTU is established. In order to solve the problem of complex modeling and a limited algorithm in a large-scale distribution network fault section by logic operation, a switch function based on an algebraic relation operation is constructed, and a logic relation linearization strategy is proposed to linearize the model constraint. In order to ensure the global optimization of the solution, the conventional optimization method with good numerical stability is adopted in the model. The simulation results show that the proposed method is accurate, efficient and fault-tolerant. It can obtain the status information of missing and false alarms of specific nodes while correctly locating the feeder section. This is suitable for a large-scale distribution network with multi node over-current information distortion.This work is supported by Youth Science Fund of National Natural Science Foundation of China (No. 51807114).