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Analytical Modeling of a Transient Current Flowing Along the Horizontal Grounding Electrode | IEEE Journals & Magazine | IEEE Xplore

Analytical Modeling of a Transient Current Flowing Along the Horizontal Grounding Electrode


Abstract:

This paper deals with an analytical solution of the time domain Pocklington integro-differential equation for the transient current flowing along the horizontal grounding...Show More

Abstract:

This paper deals with an analytical solution of the time domain Pocklington integro-differential equation for the transient current flowing along the horizontal grounding electrode of finite length. The electrode is excited with an equivalent current source representing the lightning strike current. Presence of the earth-air interface is taken into account through the formulation, via simplified reflection coefficient arising from the modified image theory. The analytical solution is carried out using the Laplace transform and the Cauchy residue theorem, respectively. Results obtained by the analytical solution are compared to those calculated using numerical solution of the corresponding frequency domain Pocklington equation in conjunction with the Inverse Fast Fourier Transform. The results obtained via different methods agree satisfactorily.
Published in: IEEE Transactions on Electromagnetic Compatibility ( Volume: 55, Issue: 6, December 2013)
Page(s): 1132 - 1139
Date of Publication: 15 March 2013

ISSN Information:


I. Introduction

The design and modeling of an adequate grounding and lightning protection systems (LPS) for tall structures extremely susceptible to lightning strikes (e.g., power line towers and telecommunication towers) has been an important area of research in last few decades [1]–[4]. Recent contribution to such a research area is related to LPS for wind turbines, used in the process of renewable power generation [5]–[7]. Due to transient nature of a lightning strike, a direct time domain modeling of grounding and LP systems is a convenient tool. One of the basic elements of every complex grounding system is a horizontal grounding electrode. Transient current distribution, i.e., current flowing along the grounding electrode, due to a lightning strike, represents a fundamental quantity that can be used for determining other parameters of interest (i.e., scattered voltage, transient impedance, etc.).

References

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