Table of Contents
ISRN Applied Mathematics
Volume 2012 (2012), Article ID 291942, 18 pages
http://dx.doi.org/10.5402/2012/291942
Research Article

An Approach to Conformal Transformation Using Symbolic Language Facilities: Application in Electrical Engineering

Department of Electrical Engineering and Applied Physics, Transilvania University of Brasov, Boulevard Eroilor No. 29, 500036 Brasov, Romania

Received 21 December 2011; Accepted 23 January 2012

Academic Editors: A. Baïri, G. Fikioris, and F. Jauberteau

Copyright © 2012 Andrei Nicolaide. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Several studies have been published on this subject concerning especially the calculation of the transformation integral and the plotting of the field spectrum. The method presented in this paper covers larger topics including field strength, circulation, and flux and offers solutions either in closed form or, if not possible, resorting to numerical integration and avoiding, for the considered cases, the utilization of any numerical method like the finite element method. In the present work, the usage of a symbolic language is presented and certain new results have been obtained. The method permits applying the conformal transformation avoiding the hand calculation of integrals for cases in which this calculation is very difficult by traditional procedures because it involves finding some changes of variable suitable for the considered case. For this purpose, the Maple 12 software has been used. An application for electrical engineering which has been considered led the author to find a new solution superior to the known ones.