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.
Recommended Citation
Demerdash, Nabeel and Wang, R., "Theoretical and Numerical Difficulties in 3-D Vector Potential Methods in Finite Element Magnetostatic Computations" (1990). Electrical and Computer Engineering Faculty Research and Publications. 474.
https://epublications.marquette.edu/electric_fac/474
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.