Solución de las integrales de Carson mediante series de potencia

Resumen The problem of electromagnetic waves propagation in overhead transmission lines has apparently not been solved in a sound manner yet. While the problem does not have an exact analytical solution when considering the presence of the actual surface of the earth, its approximate solution introducing the oretical simplifications is of formidable practical interest. Using quasi-static approximations Carson obtained integral equations to calculate the electromagnetic field due to a horizontal current carrying wire which is above a lossy ground plane. Carson himself proposed the first solution to these expressions using power series expansions which does not possess uniform convergence and since then there have been efforts to get a better solution. In this sense two clear approaches have been essentially followed. The first one consists on modifying the integrand in such a way that an analytic solution can be obtained. The second one is based on using numerical integration schemes.