基于截断奇异值分解与K-Medians的局部放电源定位方法

doi:10.19595/j.cnki.1000-6753.tces.210623

Abstract
Figure/Table
References
Related Citation (15)

Download: PDF (2715 KB) HTML (0 KB)
Export: BibTeX | EndNote (RIS)

Abstract 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.

Key words： Partial discharge (PD) source location linear transformation pretreatment truncated singular value decomposition (TSVD) K-Medians

Received: 28 April 2021

PACS:

TM835

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

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	Ning Shuguang
	He Yigang
	Liu Qianqian
	Sui Yongbo

Cite this article:

Ning Shuguang,He Yigang,Liu Qianqian等. A Location Method of Partial Discharge Based on Truncated Singular Value Decomposition and K-Medians[J]. Transactions of China Electrotechnical Society, 2022, 37(13): 3441-3452.

URL:

https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.210623 OR https://dgjsxb.ces-transaction.com/EN/Y2022/V37/I13/3441

[1] 刘青, 常丁戈, 邓军波. 用于变电站站域局部放电特高频测向的空间谱估计算法优化选择[J]. 电工技术学报, 2020, 35(16): 3551-3560.
Liu Qing, Chang Dingge, Deng Junbo.Optimal selection on spatial spectrum estimation algorithms for UHF direction finding of partial discharge in substation[J]. Transactions of China Electrotechnical Society, 2020, 35(16): 3551-3560.
[2] 宋思蒙, 钱勇, 王辉, 等. 基于方向梯度直方图属性空间的局部放电模式识别改进算法[J]. 电工技术学报, 2021, 36(10): 2153-2160.
Song Simeng, Qian Yong, Wang Hui, et al.Improved algorithm for partial discharge pattern recognition based on histogram of oriented gradient attribute space[J]. Transactions of China Electrotechnical Society, 2021, 36(10): 2153-2160.
[3] 李元, 张冠军, 梁钰, 等. 不同热老化程度下油纸绝缘沿面放电发展特性[J]. 高电压技术, 2017, 43(3): 923-930.
Li Yuan, Zhang Guanjun, Liang Yu, et al.Envolutionary characteristics of surface discharge within oil-paper insulation under different thermally aged conditions[J]. High Voltage Engineering, 2017, 43(3): 923-930.
[4] 王永强, 仲钊, 谢军, 等. 温度对不同老化程度的绝缘纸板沿面放电的影响[J]. 高电压技术, 2017, 43(8): 2724-2732.
Wang Yongqiang, Zhong Zhao, Xie Jun, et al.Influence of temperature on the surface discharge of insulating paperboard with different aging degree[J]. High Voltage Engineering, 2017, 43(8): 2724-2732.
[5] 邹阳, 周求宽, 刘明军, 等. 局部放电特高频检测装置抗电磁干扰性能的量化评估方法研究[J]. 电工技术学报, 2020, 35(10): 2275-2282.
Zou Yang, Zhou Qiukuan, Liu Mingjun, et al.Research on quantitative evaluation on anti-electromagnetic interference capability of ultra high frequency partial discharge detection instrument[J]. Transactions of China Electrotechnical Society, 2020, 35(10): 2275-2282.
[6] 侯慧娟, 盛戈皞, 苗培青, 等. 基于超高频电磁波的变电站局部放电空间定位[J]. 高电压技术, 2012, 38(6):1334-1340.
Hou Huijuan, Sheng Gehao, Miao Peiqing, et al.Partial discharge location based on radio frequency antenna array in substation[J]. High Voltage Engineering, 2012, 38(6):1334-1340.
[7] Hou Zhe, Li Hongjie, Sun Zhenquan, et al.A novel sinusoidal damped oscillating voltage generator for the detection of partial discharge in MV distribution power cables[J]. IEEE Transactions on Power Delivery, 2016, 31(1): 410-411.
[8] 陈金祥. 基于介质窗口和UHF传感器的变压器局部放电检测与定位方法[J]. 电网技术, 2014, 38(6): 1676-1680.
Chen Jinxiang.Detection and location of partial discharge in power transformers based on dielectric window and UHF sensors[J]. Power System Technology, 2014, 38(6): 1676-1680.
[9] 胡岳, 王红斌, 汤林, 等. 基于UHF天线阵列的变电站局部放电全站监测研究与实践[J]. 电工技术学报, 2014, 29(增刊1): 502-509.
Hu Yue, Wang Hongbin, Tang Lin, et al.Research and practice of partial discharge online monitoring and locating for substation using UHF sensor array[J]. Transactions of China Electrotechnical Society, 2014, 29(S1): 502-509.
[10] 郑书生, 李成榕, 何梦. 变压器局部放电复数域牛顿迭代网格搜索定位方法[J]. 中国电机工程学报, 2013, 33(9):155-161.
Zheng Shusheng, Li Chengrong, He Meng, et al.A novel method of Newton iteration in complex field and Lattice search for locating partial discharges in transformers[J]. Proceedings of the CSEE, 2013, 33(9):155-161.
[11] Hou Huijuan, Sheng Gehao, Jiang Xiucheng.Localization algorithm for the PD source in substation based on L-shaped antenna array signal processing[J]. IEEE Transactions on Power Delivery, 2015, 30(1): 472-479.
[12] 唐炬, 黄亮, 曾福平, 等. 一种多样本信息的局部放电源逐次逼近定位方法[J]. 电工技术学报, 2016, 31(10):119-126.
Tang Ju, Huang Liang, Zeng Fuping, et al.A positioning approach based on successive approximation of multi-samples for partial discharge source[J]. Transactions of China Electrotechnical Society, 2016, 31(10):119-126.
[13] Liu Jiangting, Hu Yue, Peng Hui, et al.A data-driven method using DNN for PD location in substations[J]. IET Science Measurement Technology, 2020, 14(3): 314-321.
[14] Weng Yang, Xiao Wendong, Xie Lihua, et al.Total least squares method for robust source localization in sensor networks using TDOA measurements[J]. International Journal of Distributed Sensor Networks, 2011, 7(1): 1063-1067.
[15] Mountassir O E, Stewart B G, McMeekin S G, et al. Evaluation of an iterative method used for partial discharge RF location techniques[C]//2011 10th International Conference on Environment and Electrical Engineering, Rome, Italy, 2011: 1-4.
[16] Kim H J, Choi K, Lee H B, A new algorithm for solving ill conditioned linear systems[J]. IEEE Transactions on Magnetics, 1996, 32(3):1373-1376.
[17] 朱晓临. 数值分析[M]. 2版. 合肥: 中国科学技术大学出版社, 2014.
[18] Abe M, Sakakibara K, Fujikawa T, et al.Static magnetic field shimming calculation using TSVD regularization with constraints of iron piece placements[J]. IEEE Transactions on Applied Superconductivity, 2017, 27(7): 1-12.
[19] Ramani S, Liu Zhihao, Rosen J, et al.Regularization parameter selection for nonlinear iterative image restoration and MRI reconstruction using GCV and SURE-based methods[J]. IEEE Transactions on Image Processing, 2012, 21(8): 3659-3672.
[20] Hou Huijuan, Sheng Gehao, Jiang Xiuchen.Localization algorithm for the PD source in substation based on L-shaped antenna array signal processing[J]. IEEE Transactions on Power Delivery,2015, 30(1): 472-479.
[21] Zhu Mingxiao, Wang Yanbo, Liu Qing, et al.Localization of multiple partial discharge sources in air-insulated substation using probability-based algorithm[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2017, 24(1): 157-166.