基于稀疏矩阵和集合运算的配电网故障定位与隔离算法

A Common Fault Location and Isolation Algorithm in Distribution System based on Sparse Matrix and Set Operations

针对含有分布式电源的配电网,提出一种基于稀疏矩阵和集合运算的通用故障定位与隔离算法。采用网络拓扑结构的关联信息构成区域-节点矩阵以及不同节点的电流信息构成故障信息矩阵,以三元组稀疏矩阵方式在计算机中存储,在此基础上,使用简单的集合运算代替现有算法中高阶矩阵运算,实现多重故障的一次性定位与隔离。此外,研究了算法在故障信息丢失和故障信息错误等异常情况下的容错性能。在Matlab中对故障定位功能以及交互性能进行实现,算例计算结果验证了该方法的可行性与有效性。

A common fault, location and isolation algorithm based on sparse matrix and set operations is pro posed against distribution network with distributed generation. The region-node matrix is established based on relevant information of network topology and the fault information matrix is established based on current infor- mation from different nodes, which is stored in the PC as sparse matrix. The algorithm can realize one-time position and isolation under multiple faults. In addition, this paper studied fault-tolerance ability of the algo- rithm under the condition of missing or fake fault in/ormation. Function of fault location and interactive per- formance is realized in MATLAB. Numerical analysis validates the feasibility and effectiveness of the algo- rithm.