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DOI: https://doi.org/10.15407/techned2018.06.005

SIMULATION OF NONLINEAR SKIN EFFECT UNDER SINUSOIDAL VOLTAGE SUPPLY BY USING HARMONIC BALANCE FINITE ELEMENT METHOD AND EFFECTIVE MAGNETIC CURVES

Journal Tekhnichna elektrodynamika
Publisher Institute of Electrodynamics National Academy of Science of Ukraine
ISSN 1607-7970 (print), 2218-1903 (online)
Issue No 6, 2018 (November/December)
Pages 5 – 8

 

Author
I.S. Petukhov*
Institute of Electrodynamics National Academy of Sciences of Ukraine,
pr. Peremohy, 56, Kyiv, 03057, Ukraine,
e-mail: Этот e-mail адрес защищен от спам-ботов, для его просмотра у Вас должен быть включен Javascript
* ORCID ID : http://orcid.org/0000-0003-1416-1174

 

Abstract

The nonlinear model of the time-periodic magnetic field in a conducting ferromagnetic medium is presented. The model is based on the combined use of the harmonic balance method and the finite element method. The case of magnetic field excitation by alternating sinusoidal voltage is considered. The values of eddy current losses are compared. They are determined using the method as well as monoharmonic approach with normal magnetization curve and the effective magnetic curves. It is determined that monoharmonic approach with normal magnetization curve gives the eddy current losses greater by about 9% than the losses obtained by harmonic balance method. The monoharmonic approach using effective magnetization curves gives much smaller specific eddy current losses. References 6, figures 3.

 

Key words: harmonic balance method, finite element method, ferromagnetic conducting medium, eddy current losses.

 

Received:    02.03.2018
Accepted:    22.03.2018
Published:   23.10.2018

 

References

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2. Effective Nonlinear Magnetic Curves Calculator. Created in COMSOL Multiphysics 5.2. URL: https://www.comsol.com/model/download/263211/applications.effective_nonlinear_magnetic_curves.pdf
3. Bachinger F., Langery U., Schoberl J. Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems. Comput. Visual Sci. 2006. Vol. 9(4). Pp. 197–207. DOI: https://doi.org/10.1007/s00791-006-0023-z
4. Lu J., Zhao X., Yamada S. Harmonic Balance Finite Element Method: Applications in Nonlinear Electromagnetics and Power Systems. Wiley-IEEE Press, 2016. 304 p. DOI:  https://doi.org/10.1002/9781118975770
5. Petukhov I.S. Simulation of alternating electromagnetic field in a conducting ferromagnetic medium by finite element method. Tekhnichna Elektrodynamika. 2008. No 4. Pp. 18–26. (Rus)
6. Petukhov I.S. Consideration of the nonlinear properties of the medium in calculating the heat release from eddy currents in a ferromagnet by a differential harmonic method. Pratsi Instytutu elektrodynamiki NAS of Ukraine. 2016. No 43. Pp. 118–124. (Rus)