基于截断奇异值分解与K-Medians的局部放电源定位方法  

A Location Method of Partial Discharge Based on Truncated Singular Value Decomposition and K-Medians

作　　者：宁暑光 何怡刚[1,2] 刘倩倩 隋永波 Ning Shuguang;He Yigang;Liu Qianqian;Sui Yongbo(School of Electrical Engineering and Automation Hefei University of Technology,Hefei 230009 China;School of Electrical Engineering and Automation Wuhan University,Wuhan 430072 China)

机构地区：[1]合肥工业大学电气与自动化工程学院,合肥230009 [2]武汉大学电气与自动化学院,武汉430072

出　　处：《电工技术学报》2022年第13期3441-3452,共12页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(51977153,51977161,51577046);国家自然科学基金重点项目(51637004);国家重点研发计划“重大科学仪器设备开发”项目(2016YFF0102200);装备预先研究重点项目(41402040301)资助。

摘　　要：针对复杂环境中特高频信号达时差误差较大,引起非线性方程求解不准确的问题,提出一种基于截断奇异值分解(TSVD)与K-Medians的局部放电(PD)源定位方法。首先,通过超高频天线获取PD信号,利用能量积累提取时差信息。其次,针对线性方程求解困难且不准确的难题,提出随机组合线性变换方法。将非线性定位方程组进行线性转化,同时利用预处理技术消除坐标系选取对定位方程的影响。然后,采用TSVD正则化算法求解线性方程,引入K-Medians聚类算法对TSVD正则化算法进行优化改进,进而实现了变电站场景下PD源的坐标定位。最后,通过理论验证与现场实验两种途径对所提出的方法进行分析。实验结果验证了所提定位方法的可行性与准确性。Aiming at the problem that the time difference of arrival(TDOA) error of UHF signal is large in a complex environment, which leads to the inaccurate solution of nonlinear equation, a PD source location method is proposed which based on truncated singular value decomposition(TSVD) and K-Medians. First, PD signal is obtained via UHF antenna, and TDOA information is extracted by energy accumulation. Second, as for the difficulty and inaccuracy of solving linear equations, the random combination linear transformation method is proposed. The nonlinear localization equations are transformed into linear equations, and the influence of coordinate system selection on the location equation is eliminated via pretreatment technology. Then, the TSVD regularization algorithm is used to solve the linear equation, and the K-Medians clustering algorithm is introduced to optimize the TSVD regularization algorithm. The PD source coordinate location is realized in the substation. Finally, the proposed method is analyzed through theoretical verification and field experiments. The experimental results verify the feasibility and accuracy of the proposed method.

关 键 词：局部放电源 定位 线性变换 预处理 截断奇异值分解(TSVD) K-Medians 

分 类 号：TM835[电气工程—高电压与绝缘技术]