Desarrollo de una herramienta de software para la evaluación de campos electrostáticos en estructuras complejas

Abstract

In this work, a software tool is developed through Python 3.5 programming language. This software, called Electrostatic Field with Finite Differences (CEDIF), aids in determining the behavior of electrostatic fields for bidimensional and tridimensional systems. The problem geometric data, and the voltage and permittivity that characterize the medium are stored in a matrix located in the program’s code. The data are shown as a graph the same as it was entered by the user in an Excel file. Likewise, these data are used to determine the equipotential surfaces by solving the Laplace equation through the finite differences method. The electric field is found through the gradient potential. The electrostatic field is shown as a graphic for two or three dimensions problems. Bidimensional examples are implemented and the results are compared with analytical solutions. Two examples for tridimensional applications are shown. The first one is for an asymmetrical electromagnetic problem and the second one is the analysis of the potential field inside a power transformer.