NDLI: An Efficient Eddy Current Model for Nonlinear Maxwell Equations with Laminated Conductors

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Jiang, Xue Zheng, Weiying
Copyright Year	2012
Abstract	In this paper, we propose a new eddy current model for the nonlinear Maxwell equations with laminated conductors. Direct simulation of three-dimensional (3D) eddy currents in grain-oriented (GO) silicon steel laminations is very challenging since the coating film over each lamination is only several microns thick and the magnetic reluctivity is nonlinear and anisotropic. The system of GO silicon steel laminations has multiple sizes, and the ratio of the largest scale to the smallest scale can amount to $10^6$. The new model omits coating films and thus reduces the scale ratio by 2--3 orders of magnitude. It avoids very fine or very anisotropic mesh in coating films and can reduce computations greatly in computing 3D eddy currents. We establish the well-posedness of the new model and prove the convergence of the solution of the original problem to the solution of the new model as the thickness of coating films tends to zero. The new model is validated by finite element computations of an engineering benchmark problem---Team Workshop Problem $21^c$--M1.
Starting Page	1021
Ending Page	1040
Page Count	20
File Format	PDF
ISSN	00361399
DOI	10.1137/110857477
e-ISSN	1095712X
Issue Number	4
Volume Number	72
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2012-07-31
Access Restriction	Subscribed
Subject Keyword	PDEs in connection with optics and electromagnetic theory finite element method GO silicon steel lamination Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods Maxwell equations Team Workshop Problem 21 nonlinear eddy current problem Electromagnetic theory, general
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in