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Abstract: The electrical networks has always exposed at the lightning strokes an electric line, striking either a phase conductor, a pylon or an earth wire, provoking an important surges on the lines classified as the most dangerous constraints for the electrical systems. During the over-voltages propagation towards the electric stations, the surge wave will be deformed and attuned by corona and skin effect in ground and in conductors. Another side of the corona effect is a paradoxal phenomenon that should be taken into consideration. The corona effect is created by the electric field increase around the conductor, which it self caused by the lightning impact and takes part directly in the electric insulation coordination by its lightning surge reduction. In this context that we participate by this study where we present a three-phase line modal with a transient corona effect.