[en] This paper presents a new approach to solve nonlinear problems using the complex formalism in the finite element method. The main idea is to use a modified Newton Raphson procedure taking into account both the derivative and the conjugate derivative of the unknowns in the Jacobian matrix. To validate this method, the nonlinear complex analysis is compared to a classical time stepping analysis for the computation of the magnetic field outsides shielded three-phase cable
Disciplines :
Electrical & electronics engineering
Author, co-author :
Hedia, Hakim
Remacle, Jean-François
Dular, Patrick ; Université de Liège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Nicolet, André
Genon, André
Legros, Willy
Language :
English
Title :
A Sinusoidal Magnetic Field Computation in Nonlinear Materials
Publication date :
November 1995
Journal title :
IEEE Transactions on Magnetics
ISSN :
0018-9464
eISSN :
1941-0069
Publisher :
IEEE, Piscataway, United States - New Jersey
Volume :
31
Issue :
6
Pages :
3527-3529
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
BELSPO - SPP Politique scientifique - Service Public Fédéral de Programmation Politique scientifique
S. Yamada, P. Biringer, K. Hirano & K. Bessho, “Finite Element Analysis of Nonlinear Dynamic Magnetic Field with DC Component in the Harmonic Balance”, IEEE Transactions on Magnetics, vol. 26, no 5, pp. 2199–2201, 1990.
Y. Du Terrail, J. C. Sabonnadière, P. Masse & J. L. Coulomb, “Nonlinear Complex Finite Elements Analysis of Electromagnetic Field in Steady-Slate AC Devices”, IEEE Transactions on Magnetics, vol. 20, no 4, pp. 549–552, 1984.
P. Dular, A. Genon, H. Hedia, W. Legros & A. Nicolet, “A subdomain Method for FEM-BEM Coupling in Electromagnetism”, Boundary Element Technology VI, C.A. Brebbia ed., Elsevier, pp. 77–78, 1991.
A. Niemenmaa, “Complex reluctivity modelling of iron losses in induction machines”, ICEM 88, pp. 633–636, 1988.
T. Nakata, N. Takahashi, K. Fujiwara, N. Okamoto & K. Muramatu, “Improvements of Convergence Characteristics of Newton-Raphson Method for Nonlinear Magnetic Field Analysis”, IEEE Transactions on Magnetics, vol. 28, no 2, pp. 1048–1551, 1992.
