基于随机矩阵的配电网故障选线方法研究

Research on Fault Line Selection Method for Distribution Network Based on Random Matrix

针对目前配电网故障选线方面存在的难题,提出了一种基于随机矩阵的配电网故障选线方法,利用随机矩阵单环定理,对每条馈线数据形成的随机矩阵特征值分布情况进行分析。正常线路故障前后特征量波动小,其随机矩阵特征值分布更加接近于高斯随机矩阵特征值分布;而故障线路故障前后特征量变化情况明显,特征值分布将远离高斯随机矩阵的特征值分布范围。

To solve the problem of fault line selection in distribution network,a method of fault line selection for distribution network based on random matrix is proposed.Using the single ring theorem of random matrix,the eigenvalue distribution of random matrix,generated by each line data,is analyzed.The eigenvalue distribution of the normal line which characteristic quantity has little change before and after the fault is much closer to the eigenvalue distribution of the Gauss random matrix.Relatively,the eigenvalue distribution of the fault line is far away from the eigenvalue distribution of the Gauss random matrix.