Model of lightning-induced voltage on distribution lines

In this work the electromagnetic emissions caused by a discharge of a lightning have been modeled, considering the lightning as a short monopole antenna over a perfectly conducting ground plane. By this analogy the radiated electric and magnetic fields are calculated, and then the induced voltage is calculated in a distribution line considered as a short loop. The mathematical expression used for the calculation of the induced voltage was already proposed in a previous work and in the present work is validated by its confrontation in an simulated scenario with two known expressions for the calculation of the induced voltage, one recommended by the IEEE and developed by S. Rusck and another developed by Barbosa. On the basis of the considerations made by Rusck to obtain its expression for the induced voltage, the geometry related to the proposed expression is adapted to make it comparable with Rusck's international reference in the IEEE standard. Later, the dV_ind/dy behaviors of the three expressions in the region of near-field radiation of the lightning were analyzed, determining that the trends (which are hyperbolic) of the proposed expression and that developed by Rusck (internationally standardized in the IEEE 1410 standard) have a great similarity when the radiated fields exceed 20 m, giving validity to the proposed expression