Cooray-Rubinstein Formula for the Evaluation of Lightning Radial Electric Fields: Derivation and Implementation in the Time Domain

Ground conductivity plays an important role both in the evaluation of the electromagnetic (EM) fields due to a lightning event and in the calculation of the line parameters, which are, in turn, fundamental in the analysis of the lightning-induced voltages on overhead lines. The exact formulation of...

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Bibliographic Details
Published in:IEEE transactions on electromagnetic compatibility 2008-02, Vol.50 (1), p.194-197
Main Authors: Caligaris, C., Delfino, F., Procopio, R.
Format: Article
Language:English
Subjects:
Absorbing media
Adaptation model
Applied classical electromagnetism
Applied sciences
Chromium
Computational modeling
Couplings
Electrical engineering. Electrical power engineering
Electrical power engineering
electromagnetic (EM) radiation
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Equivalent circuits
Exact sciences and technology
Frequency domain analysis
Fundamental areas of phenomenology (including applications)
ground wave propagation
Integrated circuit modeling
Lightning
lightning return stroke
Mathematical model
Miscellaneous
Numerical models
Overhead networks
Physics
Power networks and lines
RLC circuits
Surges
Time domain analysis
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Summary:Ground conductivity plays an important role both in the evaluation of the electromagnetic (EM) fields due to a lightning event and in the calculation of the line parameters, which are, in turn, fundamental in the analysis of the lightning-induced voltages on overhead lines. The exact formulation of the EM fields over a lossy ground involves the numerical evaluation of the Sommerfeld integrals, which are slowly converging and can only be computed in the frequency domain. For this reason, a great effort has been devoted in the derivation of approximate formulas that can provide accurate results with low computational costs. The most popular one is the Cooray-Rubinstein formula, which has been proposed in the frequency domain. Here, its time-domain counterpart is mathematically derived, and an efficient algorithm for its implementation is presented together with some comparisons with the exact approach.
ISSN:0018-9375
1558-187X
DOI:10.1109/TEMC.2007.913226