抄録
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.
