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Math. Comput. Appl. 2017, 22(1), 17; doi:10.3390/mca22010017

New Scientific Contribution on the 2-D Subdomain Technique in Cartesian Coordinates: Taking into Account of Iron Parts

1
ENERGIE, FEMTO-ST, CNRS, Univ. Bourgogne Franche-Comté, F90000 Belfort, France
2
Laboratoire de Recherche en Electrotechnique (LRE-ENP), 16200 Algiers, Algeria
*
Author to whom correspondence should be addressed.
Academic Editor: Fazal M. Mahomed
Received: 17 January 2017 / Revised: 27 January 2017 / Accepted: 1 February 2017 / Published: 10 February 2017
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Abstract

The most significant assumptions in the subdomain technique (i.e., based on the formal resolution of Maxwell’s equations applied in subdomain) is defined by: Theiron parts(i.e.,theteeth and the back-iron are considered to be infinitely permeable, i.e., µiron → +∞, so that the saturation effect is neglected. In this paper, the authors present a new scientific contribution on improving of this method in two-dimensional (2-D) and in Cartesian coordinates by focusing on the consideration of iron. The subdomains connection is carried out in the two directions (i.e., x-andy-edges). Forexample,the improvement was performed by solving magnetostatic Maxwell’s equations for an air- or iron-cored coil supplied by a direct current. To evaluate the efficacy of the proposed technique, the magnetic flux density distributions have been compared with those obtained by the 2-D finite-element analysis (FEA). The semi-analytical results are in quite satisfying agreement with those obtained by the 2-D FEA, considering both amplitude and waveform. View Full-Text
Keywords: air- or iron-cored coil; Cartesian coordinates; Fourier analysis; two-dimensional; saturation effect; subdomain technique air- or iron-cored coil; Cartesian coordinates; Fourier analysis; two-dimensional; saturation effect; subdomain technique
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Dubas, F.; Boughrara, K. New Scientific Contribution on the 2-D Subdomain Technique in Cartesian Coordinates: Taking into Account of Iron Parts. Math. Comput. Appl. 2017, 22, 17.

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