Boundary element modeling of horizontal grounding electrodes using the set of generalized telegrapher’s equations

Abstract

The analysis of a horizontal grounding electrode has been carried out using the set of generalized telegrapher's equations. The integro-differential relationships arising from the full wave model are numerically handled via the GalerkinBubnov scheme of the Indirect Boundary Element Method (GB-IBEM). Some illustrative numerical results for the current and voltage induced along the horizontal electrode are given in the paper.

Boundary element modeling of complex grounding systems: study on current distribution

“…This paper represents an extension of the previous work of the authors on the subject which was related to the BEM analysis of a single grounding electrode [6,7]. The antenna model of the grounding systems composed from straight conductors is based on the set of Pocklingtonʼs integro-differential equations for curved wires.…”

“…An extension to the case of imperfectly conducting wire is straightforward [6,7]. For the PEC wire the total field composed from the excitation field exc E  and scattered field sct E  vanishes:…”

“…The Boundary Element solution technique used in this work is an extension of the method applied to single wire cases reported elsewhere, e.g. in [6,7,9].…”

“…The influence of a ground-air interface is taken into account via the reflection coefficient of the form [6]:…”