LOW FREQUENCY FIELD OF AN EARTHING CONDUCTOR BY VARIATIONAL METHOD

Abstract

A variational method using global approximation is extended to the analysis of the low-frequency field of exterior boundary value problems. The method is presented through the example of computing the current distribution of an earthing conductor. Using a T - Ω approach, an approximate solution of Helmholtz's equation is generated with the prescribed Dirichlet and Neumann boundary conditions, and also the approximate conditions at infinity are satisfied. The boundary surfaces of the region examined are assumed to be described or approximated by piecewise analytical functions. The satisfacion of the prescribed boundary conditions is ensured by means of R-functions.