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DOI: https://doi.org/10.15407/techned2016.03.058

CURRENT TRANSFORMER MATHEMATICAL MODEL BASED ON THE JILES-ATHERTON THEORY OF FERROMAGNETIC HYSTERESIS

Journal Tekhnichna elektrodynamika
Publisher Institute of Electrodynamics National Academy of Science of Ukraine
ISSN 1607-7970 (print), 2218-1903 (online)
Issue № 3, 2016 (May/June)
Pages 58 – 65

 

Authors
B.S. Stognii, M.F. Sopel, V.I. Pankiv, Ye.M. Tankevych
Institute of Electrodynamics National Academy of Science of Ukraine,
Pr. Peremogy, 56, Kyiv-57, 03680, Ukraine,
e-mail: Этот e-mail адрес защищен от спам-ботов, для его просмотра у Вас должен быть включен Javascript

 

Abstract

This paper deals with a brief description and the basic equations of the Jiles-Atherton theory of ferromagnetic hysteresis, and information about its application in world practice to construct a mathematical model of the current transformer, calculations and research of electromagnetic processes in these devices. Improving of mathematical model of current transformer based on the Jiles-Atherton theory have been proposed and justified, by the way of describing it anhysteretic magnetization curve by second order fractional rational function instead modified Langevin function. According to the developed model of current transformer, transient currents of TFKN-330 type of current transformer with different steel grades of magnetic cores and with different ways of describing its anhysteretic magnetization curve have been calculated and their comparative analysis have been made. Briefly examined the possibility of using optimization genetic algorithm of differential evolution to determine the parameters of proposed model. References 11, figures 3.

 

Key words: current transformer, mathematical model, magnetization curve, approximation, ferromagnetic hysteresis, electromagnetic processes.

 

Received:    20.01.2016
Published:   25.04.2016

 

References

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2. Benabou A., Clenet S., Piriou F. Comparison of Preisach and Jiles-Atherton models to take into account hysteresis phenomenon for finite element analysis. Journal of magnetism and magnetic materials (Elsevier).  2003.  Vol. 261.  No 1–2.  Pp. 139-160.
3. Chwastek K., Szczyglowski J. Identificationof a hysteresis model parameters with genetic algorithms. Mathematics and Computers in Simulation.  2006.  Vol. 71.  P. 206-211. DOI: https://doi.org/10.1016/j.matcom.2006.01.002
4. Jiles D.C., Atherton D.L. Theory of ferromagnetic hysteresis. Journal of magnetism and magnetic materials.  1986.  Vol. 61.  P. 48-60. DOI: https://doi.org/10.1016/0304-8853(86)90066-1
5. Jiles D.C., Thoelke J.B. Theory of ferromagnetic hysteresis: determination of model parameters from experimental hysteresis loops. IEEE Transactions on magnetics. 1989.  Vol. 25.  No 5.  P. 3928-3930. DOI: https://doi.org/10.1109/20.42480
6. Kis P. Jiles-Atherton model implementation to edge finite element method, thesis to the Ph.D Dissertation, Dept. of Broadbant Infocommunications and Electromagnetic Theory, Budapest University of Technology and Economics, Budapest, 2006,  143 p.
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8. Naghizadeh R.-A., Vahidi B., Hosseinian S.H. Parameter identification of Jiles-Atherton model using SFLA. Computation and mathematics in electrical and electronic engineering.  2012.  Vol. 31.  No 4.  P. 1293-1309.
9. Qin A.K., Huang V.L., Sugunthan P.N. Differential evolution algorithm with strategy adaptation for global numerical optimization. IEEE Transactions on evolutionary computation.  2009.  Vol. 13.  No 2.  P. 398-417. DOI: https://doi.org/10.1109/TEVC.2008.927706
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