分形分析方法在电树枝结构研究中的应用

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Abstract The shapes of electrical trees in polymeric insulating materials are complex and diverse, and the different shapes of the electrical trees have different fractal dimensions. In the present paper, box-counting dimension method is used though Matlab programming, for analyzing and calculating the fractal images of different shapes of electrical trees. The results show that the more complex the shapes of electrical trees is, the greater its box-counting fractal dimension and the local fractal dimension are. In the two-dimensional plane, the smaller of the box-counting dimension of electrical trees is, its space of spreading is greater and rate of spreading is faster. The stable local fractal dimension of different shapes of electrical trees is in a certain range, so electrical trees can be classified base on the fractal theory. Electrical trees at different growth stages and in complex shapes in polyethylene and polyethylene/ montmorillonite nanocomposites are analyzed and calculated based on the proposed method.

Key words： Shapes of electrical trees box-counting dimension local fractal dimension classification of electrical trees

Received: 30 March 2012 Published: 27 November 2013

PACS:

TM215

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	Articles by authors
	Zhang Xiaohong
	Chi Xiaohong
	Gao Junguo
	Wang Wei

Cite this article:

Zhang Xiaohong,Chi Xiaohong,Gao Junguo等. Application of Fractal Analysis on Researching Shapes of Electrical Trees[J]. Transactions of China Electrotechnical Society, 2013, 28(1): 14-20.

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http://dgjsxb.ces-transaction.com/EN/ OR http://dgjsxb.ces-transaction.com/EN/Y2013/V28/I1/14

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