Electromagnetic Transients of a Sagging Conductor above Lossy Earth—Effect of its Loading and of the Earth Parameters

Abstract

This paper addresses the electromagnetic transients of a non-uniform overhead transmission line conductor with due consideration of its receiving-end load, its sag and of the earth parameters. The concept of the complex penetration depth is adopted in the formulation of the line’s equations in the s-domain. A relation for the conductor height as a function of the longitudinal co-ordinate is derived and incorporated in the analysis. The two simultaneous differential equations governing the voltage and current are solved analytically in order to get closed-form s-domain expressions for their distributions. The application of numerical Laplace inversion will then yield the distributions in the time domain. Results of different case studies are presented and discussed. The paper is then concluded by validating the proposed technique by discussing the results of its application to a case study of a known analytical solution.

Keywords: Transmission lines, Laplace transform, non-uniform, electromagnetic transient analysis, earth, numerical analysis

Cite this Artcle
Mohamed M. Saied. Electromagnetic Transients of a Sagging Conductor above Lossy Earth—Effect of its Loading and of the Earth Parameters. Journal of Power Electronics & Power Systems. 2017; 7(3): 47–59p.