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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.

A model for the definition of electrical Power is presented, which retrieves the concepts of homomorphism from the geometrical tensor approximation at the wavelet approach. Their definition here is nevertheless different in that it considers both tensor algebra and wavelet operators, solving thus most of the problems usually associated with the numerical methods.

This paper presents a proposal for the development of an automatic system correlation between two variables, one represented by the failures on the electrical distribution lines during a storm process and another one represented by atmospheric discharges (lightning) that happen in this process. Initially, in order to define if the failure is caused directly or indirectly by an electrical impact generated by lightning, a space-time correlation is proposed. With the obtained data a decision matrix is proposed, using an entropy method to assign weights to the failures in order to determine its severity and therefore its priority of attention. On the other hand, taking into account that the time window of observation is perhaps the most relevant parameter in the proposed correlation system, this article shows part of a simulation proposed for its calculation as well as the mathematical bases that were used as a support for it. El presente artículo plantea una propuesta para el desarrollo de un sistema automático de correlación entre dos variables, una representada por las fallas acaecidas en las líneas de distribución eléctrica en un proceso de tormenta y otra representada por las descargas atmosféricas (rayos) presentadas en dicho proceso. Inicialmente, para definir si la falla es causada directa o indirectamente por un impacto eléctrico generado por un rayo, se propone una correlación espacio-temporal. Con los datos obtenidos se propone elaborar una matriz de decisión usando, a su vez, un método de entropía para asignar pesos a las fallas con el fin de determinar su gravedad y por lo tanto su prioridad de atención. Por otro lado, considerando que la ventana de tiempo de observación es quizás el parámetro más relevante en el sistema de correlación propuesto, el artículo muestra parte de una simulación planteada para su cálculo, así como las bases matemáticas utilizadas como soporte de esta simulación.