Fractal characteristics of real electrical trees

Author

Maruyama, S. ; Kobayashi, S. ; Kudo, K.

Author_Institution

Dept. of Electr. Eng., Meiji Univ., Kawasaki, Japan

fYear

1992

fDate

22-25 Jun 1992

Firstpage

318

Lastpage

322

Abstract

The fractal properties of 2-D projected electrical trees in PMMA (polymethyl methacrylate) and XLPE (cross-linked polyethylene) samples have been investigated. The results show that the tree structures are fractal objects although their tree patterns are obtained in a 2-D projection. The fractal dimension of the tree formed in PMMA is found to become constant as the applied voltage or the time duration is increased. Furthermore, the fractal dimension of the tree structures produced in XLPE is found to increase with increasing cross-linking of XLPE. It is concluded that there exists a relationship between the fractal dimension of the electrical trees and the physical properties of the polymers used

Keywords

electric breakdown of solids; fractals; organic insulating materials; polymers; PMMA; XLPE; cross-linking; electrical trees; fractal dimension; fractal properties; physical properties; Dielectrics and electrical insulation; Electrodes; Fractals; Needles; Petroleum; Polyethylene; Temperature control; Testing; Trees - insulation; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Conduction and Breakdown in Solid Dielectrics, 1992., Proceedings of the 4th International Conference on

Conference_Location

Sestri Levante

Print_ISBN

0-7803-0129-3

Type

conf

DOI

10.1109/ICSD.1992.224933

Filename

224933