Solving Magnetodynamic Problems via Normal Form Method

Article dans une revue avec comité de lecture
Auteur
UGWUANYI, Nnaemeka S.
1030936 Alex Ekwueme Federal University Ndufu-Alike, Ikwo [AE-FUNAI]
13338 Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
ccCLENET, Stephane
13338 Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
ccKESTELYN, Xavier
13338 Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
ccTHOMAS, Olivier
543315 Laboratoire d’Ingénierie des Systèmes Physiques et Numériques [LISPEN]

URI
http://hdl.handle.net/10985/22540
DOI
10.1109/tmag.2022.3161057
Date
2022-03
Journal
IEEE Transactions on Magnetics

Résumé

Closed-form formulations are difficult to find when the material behavior law is nonlinear. A linear approximation, on the other hand, has a very narrow range of validity. In this communication, the Normal Form (NF) method is employed to solve a 1-D nonlinear magnetodynamic problem. The discrete model is formulated in a state-space form suitable for NF applications. The resulting system is then expanded on a linear mode basis to cubic order. Analytical solutions are obtained using the NF technique and compared to traditional solutions. The results show the cubic polynomial adequately approximates the problem, and the NF solution is valid for some range of magnetic field intensity.

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