Journal
IEEE TRANSACTIONS ON MAGNETICS
Volume 58, Issue 9, Pages -Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TMAG.2022.3161057
Keywords
Noise measurement; Mathematical models; Finite element analysis; Lamination; Magnetic fields; Closed-form solutions; Eddy currents; Analytical solutions; computational electromagnetism; diffusion problems; eddy currents; normal form (NF) method
Funding
- European Union
- European Regional Development Fund (ERDF)
- French State
- Hauts-de-France Region
Ask authors/readers for more resources
In this paper, the normal form (NF) method is employed to solve a 1-D nonlinear magnetodynamic problem. The results indicate that the cubic polynomial approximation adequately approximates the problem and the NF solution is valid for a certain range of magnetic field intensity.
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 used 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 with traditional solutions. The results show that the cubic polynomial adequately approximates the problem, and the NF solution is valid for some range of magnetic field intensity.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
