Abstract
Many complex patterns in nature such as discharge phenomena are known as fractal objects. With the development of computer system, their spatial structures of discharge patterns have been analyzed using a computer simulation.
In this paper, we developed the 3-dimensional numerical simulation model of the electrical tree pattern considering growing probability and local electric field under a Laplace field. Using this numerical simulation model, we obtained the various shapes of electrical tree, such as tree-like, bush-like and densely bush-like (balllike) trees, and measured the fractal dimensions of these simulated patterns. Furthermore, we studied the relationship between fractal dimensions of 3-dimensional simulated patterns and those of 2-dimensionally projected patterns, and the results were compared with those of the real electrical trees.
