An Approximate Model for Determining the Resistance of a Hemispherical Ground Electrode Placed on a Non-homogeneous Truncated Cone

Abstract

In this paper we present an approximate analytically oriented approach for determining the resistance of a hemi-spherically-shaped ground electrode placed on the top of a mountain. The mountain is modelled as a non-homogeneous truncated cone consisting of two homogeneous domains with different specific conductivities values. The given procedure extends the existing, previously proposed procedure in which the mountain was modelled as a homogeneous truncated cone. The procedure, proposed in this paper, includes application of the Estimation method, based on idea of finding arithmetic mean of maximal and minimal resistance value. The obtained results are validated and compared with those obtained using the COMSOL program package, based on the finite element method.