Abstract

Theory is presented wliich shows that nearby 1 ightning return strokes can induce voltage surges of either positive or negative polarity on an overhead line depending on the location of the lightning relative to the line. The Telegraphers' Equations are solved with the return stroke vertical and horizontal electric fields as forcing functions. The horizontal electric fields are calculated from measured or assumed vertical fields anrl assume<! earth con(!uctivi ties. For a typical return stroke, voltage waveforms are presented for a line of 500 m length and one of 5 km l enqth fur the full 2 owi ng conrli ti on s~ earth conductivities between io- mhos/m and 10- mhos/m, earth permittivities between £ = 15 and£ = 3, and lightning ground strike ixfints between o. km and 5.0 km of the line at a variety of positions around the line. Measured voltages on a 460 m test line described in a companion paper are coMpared 1~ith calculated voltage wave forms derived from measured vertical electric fields, in accordance with the developed theory. Calculated waveshapes are found to be in moderately good agreement with the ineasurements, but calculated magnitudes are about a factor of 4 lower than measured. Possible errors in both theory and measurement are discussed. Voltage measurements reported by other investigators are, in general, consistent with the present theory

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