A T-ψ formulation with the penalty function term for the 3D eddy current problem in laminated structures

Tong Kang, Tao Chen, Yanfang Wang and Kwang Ik Kim

Applied Mathematics and Computation, 2015, vol. 271, issue C, 618-641

Abstract: In this paper we present a new eddy current model by means of the T-ψ formulation with the penalty function term for the three-dimensional(3D) nonlinear eddy current equations with laminated conductors. By omitting the insulating films between the neighboring laminations, the approximate model reduces the scale ratio by 2–3 orders of magnitude. Then it avoids very fine or very anisotropic mesh in coating films and can save computational work greatly in numerical approximations. We study the weak formulations of the original and the approximate problem to obtain their well-posedness. Further, we prove the convergence for the solution of the new model to the solution of the original problem as the thickness of coating films approaches zero.

Keywords: Nonlinear eddy current problem; GO silicon steel lamination; T-ψ formulation; Penalty function; Well-posedness; Error estimate (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S009630031501214X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:618-641

DOI: 10.1016/j.amc.2015.08.133

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().