大地上のn円形平行電線近傍の静電位解析

概要

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The purpose of this paper is to show one of the methods that we can apply for the potential analysis around n parallel electric wires above the ground. The theme is basically the Dirichlet boudary problem for a semiinfinite region. The analytical solution is not obtainable for n≥2,so a numerical analysis is essential. In this paper a finite element method with two mathematical techniqus are used to obtain a solution of the problem. One is a conformal mapping and the other is an alternating-like method as in the harmonoc function theory. Because it is difficult to divide the above semi-infinite region into finite elements, we transform the region into a concentric annulus by the conformal mapping. The calculation is actually done in the concentric region by using the alternating-like method. This method is so called iterative calculation and also some criteria for covergence are required. We show the criterion and verify it through the numerical calculation of an example.
1998-09-15