Title

Theoretical and Numerical Difficulties in 3-D Vector Potential Methods in Finite Element Magnetostatic Computations

Document Type

Article

Language

eng

Publication Date

9-1990

Publisher

Institute of Electrical and Electronic Engineers (IEEE)

Source Publication

IEEE Transactions on Magnetics

Source ISSN

0018-9464

Abstract

The results of the application of three well-known 3-D magnetic vector potential (MVP)-based finite-element formulations for computation of magnetostatic fields in electrical devices are discussed. The three methods were identically applied to three practical examples, the first of which contained only one medium (free space), while the second and third examples contained a mix of free space and iron. The first of these methods is based on the unconstrained curl-curl of the MVP, while the second and third methods are predicated upon constraining the divergence of the MVP to zero (Coulomb's gauge). It was found that the two latter methods cease to give useful and meaningful results when the global solution region contains a mix of media of high and low permeabilities. Furthermore, it was found that their results do not achieve the intended zero constraint on the divergence of the MVP.

Comments

IEEE Transactions on Magnetics, Vol. 26, No. 5 (September 1990): 1656 -1658. DOI.

N.A. Demerdash was affiliated with Clarkson University at the time of publication.

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