Preprint Article Version 1 This version not peer reviewed

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

Version 1 : Received: 27 September 2016 / Approved: 27 September 2016 / Online: 27 September 2016 (11:18:35 CEST)
Version 2 : Received: 15 January 2017 / Approved: 16 January 2017 / Online: 16 January 2017 (04:38:11 CET)

A peer-reviewed article of this Preprint also exists.

F. Dubas, and K. Boughrara, "New Scientific Contribution on the 2-D Subdomain Technique in Cartesian Coordinates: Taking into Account of Iron Parts," Math. Comput. Appl., vol. 22, no. 17, pp. 01-39, Feb. 2017 (doi: 10.3390/mca22010017). F. Dubas, and K. Boughrara, "New Scientific Contribution on the 2-D Subdomain Technique in Cartesian Coordinates: Taking into Account of Iron Parts," Math. Comput. Appl., vol. 22, no. 17, pp. 01-39, Feb. 2017 (doi: 10.3390/mca22010017).

Journal reference: Mathematical and Computation Applications 2017, 22, 17
DOI: 10.3390/mca22010017

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: “The iron parts (i.e., the teeth and the back-iron) are considered to be infinitely permeable so that the saturation effect is neglected”. In this paper, the author presents 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- and y-edges). The improvement was performed by solving magnetostatic Maxwell's equations for an air- or iron-core 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.

Subject Areas

air- or iron-core coil; Cartesian coordinates; Fourier analysis; two-dimensional; saturation effect; subdomain technique

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