引用本文:胡琛,张竹,焦洋,李红斌,陈刚.基于随机矩阵理论的电子式互感器误差状态相关性分析方法[J].电力自动化设备,2018,(9):
HU Chen,ZHANG Zhu,JIAO Yang,LI Hongbing,CHEN Gang.Error state correlation analysis based on random matrix theory for electronic transformer[J].Electric Power Automation Equipment,2018,(9):
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基于随机矩阵理论的电子式互感器误差状态相关性分析方法
胡琛1, 张竹1, 焦洋1, 李红斌1, 陈刚2
1.华中科技大学 强电磁工程与新技术国家重点实验室,湖北 武汉 430074;2.国网江苏省电力公司电力科学研究院,江苏 南京 211103
摘要:
现场复杂环境下电子式互感器误差影响量交叉作用,解耦困难,确定电子式互感器误差状态和各影响量之间的内在联系较为困难。为此,提出了一种基于高维随机矩阵理论的误差状态相关性分析方法。基于滑动时间窗实时构建了评估矩阵,基于卡尔曼滤波器实现了稀疏情况下随机矩阵的扩展,建立了相关性评价指标dMSR和IMSR,明确了相关性分析步骤。采用所提方法对互感器误差状态监测平台的运行数据进行了算例分析,结果表明所提方法能够确定1个或多个影响量对电子式互感器误差状态的作用程度。
关键词:  电子式互感器  随机矩阵  影响量  单环定理  评价指标  误差状态
DOI:10.16081/j.issn.1006-6047.2018.09.008
分类号:TM930
基金项目:国家重大科学仪器设备开发重点专项(2016YFF-0102400);国家电网公司科技项目(智能变电站电子式互感器复杂环境下运行性能评估关键技术研究)
Error state correlation analysis based on random matrix theory for electronic transformer
HU Chen1, ZHANG Zhu1, JIAO Yang1, LI Hongbing1, CHEN Gang2
1.State Key Laboratory of Strong Electromagnetic Engineering and New Technology, Huazhong University of Science and Technology, Wuhan 430074, China;2.Electric Power Research Institute of State Grid Jiangsu Electric Power Company, Nanjing 211103, China
Abstract:
Since the influencing factors of electronic transformer error involve interactions between each other in complex field conditions, resulting in difficult decoupling implementation. Therefore, it is difficult to confirm the relationship between the error state of electronic transformer and the influencing factors. In order to solve this problem, an error state correlation analysis method for electronic transformer is proposed based on high-dimensional random matrix theory. The evaluation matrix is constructed in real-time using moving time-window and then extended based on Kalman filter in the case of sparse matrix. Two evaluation indexes of correlation level, i. e. dMSR and IMSR are proposed and the steps of correlation analysis are confirmed. The proposed method is adopted to analyze the operating data of the electronic transformer error state monitoring platform, the results show that it can be utilized to confirm the influencing degree of single or multiple influencing factors on the error state of electronic transformer.
Key words:  electronic transformers  random matrix  influencing factor  single-ring law  evaluation index  error state

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