A time-domain formula for the horizontal electric field at the earth surface in the vicinity of lightning

This paper presents a time-domain formula for the calculation of the horizontal electric field in the vicinity of the lightning channel. The formula is based on the incident azimuthal magnetic field, so that it does not depend on the assumptions considered in the calculation of the magnetic field, s...

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Veröffentlicht in:IEEE transactions on electromagnetic compatibility 2010-08, Vol.52 (3), p.640-645
Hauptverfasser: Barbosa, C.F., Paulino, J.O.S.
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description This paper presents a time-domain formula for the calculation of the horizontal electric field in the vicinity of the lightning channel. The formula is based on the incident azimuthal magnetic field, so that it does not depend on the assumptions considered in the calculation of the magnetic field, such as return stroke model or propagation effects. The application of the formula with the magnetic field calculated from perfectly conducting earth provided results that agreed very well with results from Sommerfeld integrals, even in the vicinity of the lightning channel, where the Cooray-Rubinstein formula does not hold. The deviations of the results of the formula with respect to the Sommerfeld integrals are on the order of a few percent, which is the same order of magnitude as the deviations involved in the numerical evaluation of Sommerfeld integrals.
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subjects Arcs, sparks, lightning
Conductivity
Earth
Electric discharges
Electromagnetic fields
Equations
Exact sciences and technology
finitely conducting earth
induced surges
Lightning
Magnetic domains
Mathematical model
Physics
Physics of gases, plasmas and electric discharges
Physics of plasmas and electric discharges
Time domain analysis
title A time-domain formula for the horizontal electric field at the earth surface in the vicinity of lightning
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