Space-time closed-form expressions for the vertical-electric-dipole-induced Thévenin-voltage responses on a transmission line above a lossy ground are derived analytically. The problem is formulated via the electromagnetic reciprocity theorem of the time-convolution type and subsequently solved with the aid of the Cooray-Rubinstein formula and the Cagniard-de Hoop method. It is demonstrated that the obtained results are readily applicable to calculating lightning-induced voltages on overhead transmission lines over a finitely conducting ground.
Lightning-Induced Voltages on Transmission Lines over a Lossy Ground-An Analytical Coupling Model Based on the Cooray-Rubinstein Formula
Stumpf M.
;Antonini G.
2020-01-01
Abstract
Space-time closed-form expressions for the vertical-electric-dipole-induced Thévenin-voltage responses on a transmission line above a lossy ground are derived analytically. The problem is formulated via the electromagnetic reciprocity theorem of the time-convolution type and subsequently solved with the aid of the Cooray-Rubinstein formula and the Cagniard-de Hoop method. It is demonstrated that the obtained results are readily applicable to calculating lightning-induced voltages on overhead transmission lines over a finitely conducting ground.File in questo prodotto:
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