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Non-abelian Symmetry In The BEM For An Induction Motor


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J. Lobry & C. Broche


Non-abelian symmetry in the BEM for an induction motor J. Lobry, C. Broche Department of Electrical Engineering, Faculte Polytechnique de Mons, Bd. Dolez, 31, 7000 Mons, Belgium ABSTRACT Problems that present geometrical symmetry are often met in domain types methods like the Boundary Element Method (BEM). In order to reduce the computation times, symmetry can be taken into account thanks to a rationale called the Group Representation Theory. The method consists in reducing an original problem into a family of smaller ones, the global solution is obtained from superposition. In this paper, we propose the implementation of the BEM for the 2-D Magnetostatics where the Poisson's equation is defined on symmetrical non-homogeneous regions. The non-abelian case is considered. The theory is developed and the example of an induction motor is presented. INTRODUCTION Geometrical symmetry is found in many engineering applications. In particular, it is interesting to take advantage