Type: Article

Approximate analytic solutions to Radulet equations for the analysis of electromagnetic transients in single-phase power transmission lines

J. Arturo Mendez Navarro; Elena I. Kaikina; Héctor F. Ruiz; Leonardo Guardado Z.; Alejandro Castellanos;

Abstract:

In this work, an analytic development for a transmission line with a corona effect for simulating an electromagnetic transient is presented. The asymptotic solution for the Radulet equations in which a nonlinear term is presented is obtained. The study is carried out for a single-phase transmission line. The electrical parameters for an overhead line are defined and several formulations for their calculation are presented. The frequency dependence of the electrical parameters is considered. In the first part, the linear problem solution is found: the Fourier and Laplace transforms are applied with respect to distance and time respectively. After finding the solution in the Fourier-Laplace domain, which is expressed in terms of a Green's function integral, an approximate analytical solution is obtained in the distance-time domain by means of asymptotic methods. Finally, the nonlinear solution is found using as a first approach the linear solution. The results obtained show an attenuation in the voltage wave due to the corona effect.