Abstract
SUMMARY Electrical trees are characterized by a technique of fractal characteristics in pattern formation for decades. The geometrical patterns of dielectric breakdown such as lightning discharge, surface discharges, and electrical trees are known to be fractal in nature. It is well known that the electrical trees are frequently occurring in insulating materials. The present investigation deals mainly with the fractal properties of 2D (Dimension) patterns of real electrical tree obtained in insulating materials. The electrical tree patterns are generated experimentally under AC and DC of different voltage levels. The time of voltage application is noted, and the leakage current is measured using digital storage oscilloscope. A charge-coupled device (CCD) camera is used to record the propagation of electrical tree during the experiment. C++ is used to calculate the fractal dimension for experimentally obtained electrical trees by using box counting method. It is found that fractal dimension is a function of magnitude of the voltage, treeing time, and leakage current. Fractal analysis is a good and suitable tool for the analysis of electrical treeing. Copyright © 2014 John Wiley & Sons, Ltd.
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