Rational approximation for the time domain implementation of Cooray-Rubinstein formula

Author

Delfino, F. ; Girdinio, P. ; Procopio, R. ; Rossi, Mattia ; Rachidi, Farhad

Author_Institution

Naval & Electr. Eng. Dept., Univ. of Genoa, Opera, Italy

fYear

2011

fDate

19-23 June 2011

Firstpage

1

Lastpage

7

Abstract

The Cooray-Rubinstein (CR) formula is one of the most popular techniques used to take into account the finite ground conductivity in the evaluation of the radial component of the lightning return stroke electric field. Nevertheless, one difficulty lies in its application: as it is expressed in the frequency domain, it can be difficult to code it in time domain simulation programs for lightning-induced overvoltages analysis. The paper shows how a suitable rational approximation of the impedance term appearing in the CR formula can lead to a simple time domain implementation of this formula. The proposed implementation offers a considerably higher computational efficiency than that of conventional methods.

Keywords

approximation theory; electromagnetic wave propagation; lightning; overvoltage; rational functions; time-domain analysis; Cooray-Rubinstein formula; computational efficiency; finite ground conductivity; lightning return stroke electric field; lightning-induced overvoltages analysis; rational approximation; time domain simulation program; Approximation methods; Conductivity; Equations; Lightning; Magnetic fields; Permittivity; Time domain analysis; Electromagnetic radiation; ground wave propagation; lightning modeling; lightning return stroke;

fLanguage

English

Publisher

ieee

Conference_Titel

PowerTech, 2011 IEEE Trondheim

Conference_Location

Trondheim

Print_ISBN

978-1-4244-8419-5

Electronic_ISBN

978-1-4244-8417-1

Type

conf

DOI

10.1109/PTC.2011.6019451

Filename

6019451