The Chaos Characteristics Analysis for Electrical Treeing Propagation in XLPE Power Cables
Liao Ruijin1, Zhou Tianchun1, Liu Ling2, Zhou Quan1, Wang Ke1
1. State Key Laboratory of Power Transmission Equipment & System Security and New Technology Chongqing University Chongqing 400044 China 2. Guangzhou Power Supply Company Guangzhou 510620 China
Abstract：In this paper, an actual 15kV XLPE cable was used to test electrical tree, and its electrical stress enhancing was simulated by a metal needle defect. The growth of electrical trees was detected by the digital partial discharge (PD) measurement, and the structures were observed by optical microscopy. The chaos analysis for the time series of maximal and total PD data indicates that the propagation of the electrical trees show the characteristics of the deterministic chaos. And its maximal Lyapunov exponent and correlation dimension of the strange attractors increase with the decrease of the fractal dimension of the trees.
廖瑞金, 周天春, 刘玲, 周湶, 汪可. 交联聚乙烯电力电缆电树枝生长的混沌特性分析[J]. 电工技术学报, 2012, 27(5): 63-69.
Liao Ruijin, Zhou Tianchun, Liu Ling, Zhou Quan, Wang Ke. The Chaos Characteristics Analysis for Electrical Treeing Propagation in XLPE Power Cables. Transactions of China Electrotechnical Society, 2012, 27(5): 63-69.
[1] (日)速水敏幸. 电力设备的绝缘诊断[M]. 刘晓萱, 译. 北京: 科学出版社, 2003. [2] 李盛涛, 郑晓泉. 聚合物电树枝化[M]. 北京: 机械工业出版社, 2006. [3] J Y Koo, J S Lee, J T Kim. Study on the correlation between the PD pattern and the aspect of electrical trees propagation in the XLPE insulation of the underground power transmission cable[C]. Proceedings of the IEEE 6th International Conference on Properties and Applications of Dielectric Materials, 2000, 1: 161-164. [4] S H Park, K J Lim, S H Kang. Characteristic analysis of electrical tree initiation using PD distribution and statistical parameters in variable defected models in solid insulator[C]. Proceedings of the IEEE 8th International Conference on Properties and Applications of Dielectric Materials, 2006, 3: 579-582. [5] G L Wu , X W Jiang. Experimental study on tree growth in XLPE using 3D PD patterns[C]. Proceedings of the IEEE International Conference on Properties and Applications of Dielectric Materials, 2000, 1: 558-561. [6] F Guastavino, B Cerutti. Tree growth monitoring by means of digital partial discharge measurements[J]. IEEE Dielectrics and Electrical Insulation, 2003, 10(1): 65-72 . [7] T Kalicki, J M Braun. Pulse-shape characteristics of partial discharge within electrical trees in polymeric materials[C]. IEEE Conference on Electrical Insulation and Dielectric Phenomena (CEIDP), 1995, 11: 380-383. [8] J Densley, T Kalicki, Z Nadolny. Characteristics of PD pulses in electrical trees and interfaces in extruded cables[J]. IEEE Dielectrics and Electrical Insulation, 2001, 8(1): 48-57. [9] G C Montanari. Aging and life models for insulation systems based on PD detection[J]. IEEE Dielectrics and Electrical Insulation, 1995, 2(4): 667-675. [10] A Cavallini, G C Montanari, F Puletti. A fuzzy logic algorithm to detect electrical trees in polymeric insulation systems[J]. IEEE Dielectrics and Electrical Insulation, 2005, 12(6): 1134-1144. [11] L A Dissado. Deterministic chaos in breakdown does it occur and what can it tell us?[J]. IEEE Dielectrics and Electrical Insulation, 2002, 9(5): 752-762. [12] L A Dissado. Understanding electrical trees in solids: from experiment to theory[J]. IEEE Dielectrics and Electrical Insulation, 2002, 9(4): 483-497. [13] J Y Koo, J S Lee, J T Kim, et al. Comparison of diagnostic method for pattern analysis due to artificial defects introduced at the interface in XLPE cable joint using laboratory model[C]. Proceedings of the IEEE Power Engineering Society Transmission and Distribution Conference, 2002, 2: 1426-1431. [14] 吕金虎, 陆君安, 陈士华. 混沌时间序列分析及其应用[M]. 武汉: 武汉大学出版社, 2002. [15] F Takens. Determing strange attrange attractors in turbulerce[J]. Lecture Notes in Math, 1981, 898: 366-381. [16] M T Rosenstein, J J Collins, C J De Luca. A practical method for calculating largest Lyapunov exponents from small data sets[J]. Physica D, 1993, 65(1-2): 117-134. [17] 张济忠. 分形[M]. 北京: 清华大学出版社, 1995. [18] H Kaneiwa, Y Suzuoki, T Mizutani. Characteristics of PD pulse sequence and single-pulse light emission in artificially-simulated tree channel[C]. IEEE Conference on Electrical Insulation and Dielectric Phenomena (CEIDP), 1999, 2: 601-604.
2012, Vol. 27 
