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Coupled field-circuit problem:a generalized signal flow graph description of the circuit equations*

Published online by Cambridge University Press:  15 February 1998

H. De Gersem ,
R. Mertens ,
U. Pahner ,
K. Hameyer  and
R. Belmans
H. De Gersem
Affiliation:
Katholieke Universiteit Leuven, Dep. E.E./ESAT - Div. ELEN, Kardinaal Mercierlaan 94, 3001 Leuven (Heverlee), Belgium
R. Mertens
Affiliation:
Katholieke Universiteit Leuven, Dep. E.E./ESAT - Div. ELEN, Kardinaal Mercierlaan 94, 3001 Leuven (Heverlee), Belgium
U. Pahner
Affiliation:
Katholieke Universiteit Leuven, Dep. E.E./ESAT - Div. ELEN, Kardinaal Mercierlaan 94, 3001 Leuven (Heverlee), Belgium
K. Hameyer
Affiliation:
Katholieke Universiteit Leuven, Dep. E.E./ESAT - Div. ELEN, Kardinaal Mercierlaan 94, 3001 Leuven (Heverlee), Belgium
R. Belmans
Affiliation:
Katholieke Universiteit Leuven, Dep. E.E./ESAT - Div. ELEN, Kardinaal Mercierlaan 94, 3001 Leuven (Heverlee), Belgium
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Abstract

A generalized tree theory is presented in order to deal with all possible connections of solid and stranded conductors in an electric circuit coupled with a magnetic finite element model. A generalized Signal Flow Graph is used to determine the unknown currents and voltages necessary to describe the circuit behaviour in a symmetric way. The method is applied to an example. The aim of this paper is to state a general network theory able to deal with all possible connections of voltage and current sources, impedances, solid and stranded conductors leading to a symmetric and compact coupling matrix without zero diagonals.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 1 , Issue 2 , February 1998 , pp. 247 - 251
Copyright
© EDP Sciences, 1998

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References

* This paper was presented at NUMELEC'97.