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DOI: https://doi.org/10.15407/techned2016.04.026
OPTIMIZATION OF CONVERGENCE OF PERIODIC SOLUTION WHEN MODELING OF NONLINEAR SKIN-EFFECT BY FINITE ELEMENT METHOD
| Journal |
Tekhnichna elektrodynamika |
| Publisher |
Institute of Electrodynamics National Academy of Science of Ukraine |
| ISSN |
1607-7970 (print), 2218-1903 (online) |
| Issue |
№ 4, 2016 (July/August) |
| Pages |
26 – 28 |
Author
I.S.Petukhov
Institute of Electrodynamics National Academy of Science of Ukraine, pr. Peremohy, 56, Kyiv-57, 03680, Ukraine,
e-mail:
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Abstract
The problem of accuracy modeling of the alternating magnetic field in the ferromagnetic medium by the finite element method by considering higher time harmonics of the field and the associated problem of ensuring the convergence of iterative process were considered. The numerically-harmonic model and the proposed solution algorithm based on the modified Newton's method were described. To accelerate the convergence the proposed algorithm includes the optimi-zation procedure of damping coefficient by using Golden section method, as well as a set of heuristic rules that ensure reliability and speed of convergence. When solving the problem on excitation of magnetic field in rectangular domain with sinusoidal current waveform excitation the proposed algorithm showed convergence in several times better than the package COMSOL versions 3.1 and 3.5. References 4, figures 3.
Key words: ferromagnetic medium, periodic process, time harmonics, skin-effect, finite element method, Newton's method, optimization of convergence.
Received: 19.02.2016
Accepted: 07.04.2016
Published: 21.06.2016
References
1. Zenkevich O. The finite element method in engineering science. Moskva: Mir, 1975. 543 p. (Rus)
2. Petukhov I.S. Numerical simulation of skin effect in ferromagnetic for sinusoidal magnetic flux. Tekhnichna Elektrodynamika. 2013. No 6. P. 24–29. (Rus)
3. Rekleytis G., Reyvindran K., Regsdel A. Engineering optimization. Moskva: Mir, 1986. 349 p. (Rus)
4. Filtz R.V. General algorithm of determination of magnetic parameters of nonlinear media. Mathematical methods and physicomechanical fields. 1975. Vypusk 16. P. 101–106. (Rus)
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