Chaos Existence in Surface Discharge of Tracking Test  

作　　者：杜伯学 董典帅 郑晓磊 

机构地区：[1]School of Electrical Engineering and Automation,Tianjin University [2]State Grid Jiangsu Wuxi Power Supply Company [3]Henan Electric Power Survey and Design Institute

出　　处：《Transactions of Tianjin University》2009年第3期168-172,共5页天津大学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (No.50777048);Tianjin Natural Science Foundation (No.07JCYBJC07700)

摘　　要：Tracking tests for different polymer materials were carried out to investigate the chaotic behavior of surface discharge. The discharge sequences measured during the discharge process were analyzed for finding the evidence of chaos existence. Four kinds of nonlinear analysis methods were adopted： estimating the largest Lyapunov exponent, calculating the fractal dimension with increasing the embedding dimension, drawing the recurrence plots, and plotting the Poincare maps. It is found that the largest Lyapunov exponent of the discharge is positive, and the plot of fractal dimension, as a function of embedding dimension, will saturate at a value. The recur- rence plots show the chaotic frame-work patterns, and the Poincar6 maps also have the chaotic characteristics. The results indicate that the chaotic behavior does exist in the discharge currents of the tracking test.Tracking tests for different polymer materials were carried out to investigate the chaotic behavior of surface discharge.The discharge sequences measured during the discharge process were analyzed for finding the evidence of chaos existence.Four kinds of nonlinear analysis methods were adopted:estimating the largest Lyapunov exponent,calculating the fractal dimension with increasing the embedding dimension,drawing the recurrence plots,and plotting the Poincaré maps.It is found that the largest Lyapunov exponent of the discharge is positive,and the plot of fractal dimension,as a function of embedding dimension,will saturate at a value.The recurrence plots show the chaotic frame-work patterns,and the Poincaré maps also have the chaotic characteristics.The results indicate that the chaotic behavior does exist in the discharge currents of the tracking test.

关 键 词：CHAOS Lyapunov exponent fractal dimension recurrence plot Poincare map TRACKING 

分 类 号：O415.5[理学—理论物理]