Modeling of nonlinear electrical networks: A computeralgebra approach

Issue title: ISTET '01

Article type: Research Article

Authors: Kugi, Andreas^{a; *} | Schlacher, Kurt^b | Grabner, Herbert^b

Affiliations: [a] Chair of System Theory and Automatic Control, Saarland University, Building 13, P.O. box 15 11 50, D-66041 Saarbrücken, Germany | [b] Department of Automatic Control and Electrical Drives, Johannes Kepler University Linz, Altenbergerstraße 69, A-4040 Linz, Austria

Correspondence: [*] Corresponding author. Tel.: +49 681 302 64720; Fax: +49 681 302 64722; E-mail: andreas.kugi@lsr.uni-saarland.de

Abstract: In several applications a symbolic description of nonlinear electrical networks is of great importance. Thus, this paper is concerned with the systematic derivation of the mathematical models of a certain class of nonlinear electrical networks in view of an efficient computeralgebra implementation. The approach being proposed is based on a modified version of the famous equations of Brayton-Moser in combination with the so-called state-tree representation. The network algorithms are implemented in an object-oriented package in the computeralgebra program Maple and they have been tested for several nontrivial examples.

DOI: 10.3233/JAE-2003-252

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 17, no. 1-3, pp. 193-207, 2003