An exact formula for "Tooth-to-Tooth" permeance

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2005 Switzerland Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Magnetics, volume 41, pages 2,295-2,299 (issn: 0018-9464,

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Authors: Markovic, M.; Jufer, M.; Perriard, Y.;

doi: 10.1109/tmag.2005.850279

handle: 20.500.14299/231858

An exact formula for "Tooth-to-Tooth" permeance

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Abstract

We present a new, completely original exact method to determine the permeance between two opposing iron teeth. This configuration is important because it is often encountered in electrical machines and apparatus. The method is based on conformal mapping. The given "tooth-to-tooth" configuration is mapped into a simpler one, in which the same permeance can be analytically determined. We derive an explicit formula for this permeance, and confirm our results using the finite-element method.

Country

Switzerland

Related Organizations

École Polytechnique Fédérale de Lausanne EPFL
Switzerland
École Normale Supérieure
France

Keywords

Magnetic fields, Elliptic functions, Permeance, Conformal mapping

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