On a numerical method for 2D magnetic field computations in a lamination with enforced total flux
- Author
- R VanKeer, Luc Dupré (UGent) and Jan Melkebeek (UGent)
- Organization
- Abstract
- The paper deals with a numerical method for the evaluation of the electromagnetic loss in a lamination of an electric machine, based upon the Maxwell equations. The underlying problem consists in the computation of the unidirectional magnetic field in a cross-section of the laminate orthogonal to the enforced flux. The method starts from a suitable variational formulation of the governing parabolic problem with a nonlocal Neumann boundary condition accompanied by a Dirichlet side condition, involving nonlinear and hysteresis effects through the differential permeability coefficient. The variational problem is solved numerically by a finite element method, combined with a finite difference technique, which is deviced so as to take into account the nonlinear and hysteresis behaviour of the material. The numerical method is found to be effective and reliable.
- Keywords
- finite element-finite difference, nonlocal boundary condition, hysteresis effects, electromagnetic loss
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-189500
- MLA
- VanKeer, R., et al. “On a Numerical Method for 2D Magnetic Field Computations in a Lamination with Enforced Total Flux.” JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol. 72, no. 1, 1996, pp. 179–91, doi:10.1016/0377-0427(95)00271-5.
- APA
- VanKeer, R., Dupré, L., & Melkebeek, J. (1996). On a numerical method for 2D magnetic field computations in a lamination with enforced total flux. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 72(1), 179–191. https://doi.org/10.1016/0377-0427(95)00271-5
- Chicago author-date
- VanKeer, R, Luc Dupré, and Jan Melkebeek. 1996. “On a Numerical Method for 2D Magnetic Field Computations in a Lamination with Enforced Total Flux.” JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 72 (1): 179–91. https://doi.org/10.1016/0377-0427(95)00271-5.
- Chicago author-date (all authors)
- VanKeer, R, Luc Dupré, and Jan Melkebeek. 1996. “On a Numerical Method for 2D Magnetic Field Computations in a Lamination with Enforced Total Flux.” JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 72 (1): 179–191. doi:10.1016/0377-0427(95)00271-5.
- Vancouver
- 1.VanKeer R, Dupré L, Melkebeek J. On a numerical method for 2D magnetic field computations in a lamination with enforced total flux. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 1996;72(1):179–91.
- IEEE
- [1]R. VanKeer, L. Dupré, and J. Melkebeek, “On a numerical method for 2D magnetic field computations in a lamination with enforced total flux,” JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol. 72, no. 1, pp. 179–191, 1996.
@article{189500,
abstract = {{The paper deals with a numerical method for the evaluation of the electromagnetic loss in a lamination of an electric machine, based upon the Maxwell equations. The underlying problem consists in the computation of the unidirectional magnetic field in a cross-section of the laminate orthogonal to the enforced flux. The method starts from a suitable variational formulation of the governing parabolic problem with a nonlocal Neumann boundary condition accompanied by a Dirichlet side condition, involving nonlinear and hysteresis effects through the differential permeability coefficient. The variational problem is solved numerically by a finite element method, combined with a finite difference technique, which is deviced so as to take into account the nonlinear and hysteresis behaviour of the material. The numerical method is found to be effective and reliable.}},
author = {{VanKeer, R and Dupré, Luc and Melkebeek, Jan}},
issn = {{0377-0427}},
journal = {{JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS}},
keywords = {{finite element-finite difference,nonlocal boundary condition,hysteresis effects,electromagnetic loss}},
language = {{eng}},
number = {{1}},
pages = {{179--191}},
title = {{On a numerical method for 2D magnetic field computations in a lamination with enforced total flux}},
url = {{http://doi.org/10.1016/0377-0427(95)00271-5}},
volume = {{72}},
year = {{1996}},
}
- Altmetric
- View in Altmetric
- Web of Science
- Times cited: