Advertisement

Transactions of Tianjin University

, Volume 15, Issue 1, pp 1–6 | Cite as

Chaos analysis of discharge current based on tracking test of phenolic resin

  • Boxue Du (杜伯学)
  • Xiaolei Zheng (郑晓磊)
  • Dianshuai Dong (董典帅)
Article
  • 41 Downloads

Abstract

In tracking test, discharge is a complicated process and comparative tracking index (CTI) has wide variation. To evaluate tracking resistance, the chaos analysis of discharge current is presented based on the tracking test of phenolic resin in accordance with IEC60112. According to the characteristics of statistical self-similarity and complexity of discharge current, the largest Lyapunov exponent is calculated, and the 2-dimensional attractor of discharge current is reconstructed. Moreover, the attractors of discharge current and recurrence plots of different discharge states are reconstructed. The results indicate that the chaos attractors have different characteristics in evolutionary tracks, the topological structure and grain direction of recurrence plots show significant differences. The chaos attractor can describe the tracking process, the recurrence plot can identify the tracking state clearly, while its arithmetic is simple.

Keywords

phenolic resin tracking failure chaos theory chaos attractor recurrence plot 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Yoshimura N, Kumagai S, Du Boxue. Research in Japan on the tracking phenomenon of electrical insulating materials[J]. IEEE Electrical Insulation Magazine, 1997, 13(5): 8–19.CrossRefGoogle Scholar
  2. [2]
    Du Boxue. Research and development of test method on tracking resistance of polymer insulating materials[J]. High Voltage Engineering, 2005, 31(5): 10–13(in Chinese).Google Scholar
  3. [3]
    Du Boxue, Ma Li. Environmental factors affecting resistance to tracking of polymeric insulating materials[J]. High Voltage Engineering, 2005, 31(1): 12–13(in Chinese).Google Scholar
  4. [4]
    IEC Publ. 60112. Method for the Determination of the Proof and the Comparative Tracking Indices of Solid Insulating Materials[S]. 4th edition. 2003.Google Scholar
  5. [5]
    IEC Publ. 112. Recommended Method for Determining the Comparative Tracking Index of Solid Insulating Materials Under Moist Conditions[S]. 2nd edition, 1971.Google Scholar
  6. [6]
    IEC Publ. 112. Method for Determining the Comparative and the Proof Tracking Indices of Solid Insulating Material Under Moist Conditions[S]. 3rd edition, 1979.Google Scholar
  7. [7]
    The Japan Society of Plastics Technology. Summary Report on Study in the Testing Method for Tracking Resistance of Plastic Insulating Materials[R]. 1985.Google Scholar
  8. [8]
    Takens F. Detecting strange attractors in turbulence[J]. Lecture Notes in Mathematics, Springer, 1981, 898: 366–381.MathSciNetCrossRefGoogle Scholar
  9. [9]
    Kim H S, Eykholt R, Salas J D. Nonlinear dynamics, delay times and embedding windows[J]. Physica D, 1999, 127: 48–60.MATHCrossRefGoogle Scholar
  10. [10]
    Wolf A, Swift J B, Swinney H L. Determining Lyapunov exponents from a time series[J]. Physica D, 1985, 16: 285–317.MATHMathSciNetCrossRefGoogle Scholar
  11. [11]
    Rosenstein M T, Collins J J, De Luca C J. A practical method for calculating largest Lyapunov exponents from small data sets[J]. Physica D, 1993, 65: 117–134.MATHMathSciNetCrossRefGoogle Scholar
  12. [12]
    Maizel J V, Lenk R P. Enhanced graphic matrix analysis of nucleic acid and protein sequences[J]. Proc Nat Acad Sci USA, 1981, 78: 7665–7669.MathSciNetCrossRefGoogle Scholar
  13. [13]
    Eckmann J P, Kamphorst S O, Ruelle D. Recurrence plots of dynamical systems[J]. Europhys Lett, 1987, 4: 973–977.CrossRefGoogle Scholar

Copyright information

© Tianjin University and Springer-Verlag GmbH 2009

Authors and Affiliations

  • Boxue Du (杜伯学)
    • 1
  • Xiaolei Zheng (郑晓磊)
    • 2
  • Dianshuai Dong (董典帅)
    • 3
  1. 1.Key Laboratory of Power System Simulation and Control of Ministry of EducationTianjin UniversityTianjinChina
  2. 2.Henan Electric Power Survey and Design InstituteZhengzhouChina
  3. 3.State Grid Jiangsu Wuxi Power Supply CompanyWuxiChina

Personalised recommendations