基于高维随机矩阵理论的配电网实时故障分析方法  

Real-time Fault Analysis Method of Distribution Network Based on High Dimensional Random Matrix Theory

作　　者：彭金灿 陈盛开 张晓华 张乘铭 PENG Jincan;CHEN Shengkai;ZHANG Xiaohua;ZHANG Chengming(Northeast Electric Power University,Jilin 132012,China;Guangdong Power Grid Co.,Ltd.Guangzhou Electric Company,Guangzhou 510620 China;State Grid Yanbian Power Supply Company,Yanji 133000,China;Hohai University,Nanjing,211100,China)

机构地区：[1]东北电力大学,吉林吉林132012 [2]广东电网有限责任公司广州市供电局,广州510620 [3]国网延边供电公司,吉林延吉133000 [4]河海大学,南京211100

出　　处：《吉林电力》2021年第2期33-38,共6页Jilin Electric Power

摘　　要：针对配电网故障分析方法多依赖于自身拓扑结构的问题,提出一种基于高维随机矩阵理论的算法用于配电网实时故障分析检测。首先通过增广、拼接、随机化、加高斯白噪等过程构造高维随机矩阵;然后,采用平均谱半径与最大特征值作为相关指标,分别基于高维随机矩阵理论的单环定理以及马申科-百思图(Marchenko-Pastur,M-P)定律对配电网实时运行状态进行分析判断;最后,在IEEE39节点标准测试系统和实际电网中对所提方法进行验证和分析。通过仿真结果及现场测试表明,该方法不依赖于配电网的具体拓扑结构,从数据与图论的角度可以直观呈现配电网运行状态的改变,并且对异常数据具有较强的免疫能力。In view of the problem that the fault analysis method of distribution network depends on its own topology,this paper proposes a fault state detection algorithm for distribution network based on high dimensional random matrix theory.Firstly,the high dimensional random matrix theory is constructed by means of augmentation,splicing,randomization and adding gaussian white noise.Then,the mean spectral radius and the maximum characteristic value are used as the relevant indexes to analyze and judge the real-time operation state of the distribution network based on Marchenko-Pastur theorem of high dimensional random matrix theory and single-ring theorem respectively.Finally,the proposed method is validated and analyzed in IEEE39 node standard test system and actual power grid.Simulation results and field tests show that this method does not depend on the specific topology structure of the distribution network,can directly show the change of the operation state of the distribution network from the perspective of data and graph theory,and has strong immunity to abnormal data.

关 键 词：高维随机矩阵理论 配电网 故障分析 M-P定律 单环定理 平均谱半径 

分 类 号：TM726[电气工程—电力系统及自动化] TM74