Articles | Open Access | https://doi.org/10.37547/ajast/Volume02Issue12-02

MODELS OF JILES-ATHERTON HYSTERESIS LOOPS AND MODELS OF MAGNETIZATION CURVES FOR MAGNETICALLY SOFT AMORPHOUS ALLOYS

Bedritskiy I.M. , Researcher Tashkent State Transport University (Tashkent, Uzbekistan)
Jurayeva K.K. , Researcher Tashkent State Transport University (Tashkent, Uzbekistan)
Bazarov L.Kh. , Researcher Tashkent State Transport University (Tashkent, Uzbekistan)
Mirasadov M.J. , Researcher Tashkent State Transport University (Tashkent, Uzbekistan)

Abstract

Two models of remagnetization of soft-magnetic amorphous alloys are considered: the Jiles-Atherton hysteresis model and a model of the magnetization curve. The aim of the research is to evaluate models according to the criteria of simplicity of the mathematical expressions obtained and the adequacy of the description of the magnetization phenomenon. The relative error of modeling is chosen as a criterion for the accuracy of the model. In the study, the least squares method was used to model the main magnetization curve and the method of optimizing the Jiles-Atherton hysteresis curve using experimental and reference data. It is concluded that both models of magnetization of magnetically soft amorphous alloys give approximately the same modeling accuracy.

Keywords

Magnetization curve of magnetically soft amorphous material, Jiles-Atherton hysteresis model, approximating function, method error

References

Bedritskiy I.M. Comparative analysis of analytical expressions for approximating the magnetization curves of electrical steels.– Proceedings of higher educational institutions. Electro mechanics. 2011. №6. С.39-42

Bedritskiy I.M., Juraeva K.K., Bazarov L.H. Evaluation of the stability of the parametric phase number converter.// International Scientific Seminar. Yu.N. Rudenko, Kazan, 2020.–s.12-18

Bedritskiy I.M., Juraeva K.K., Bazarov L.H., Saidvaliev S.S. Using of the parametric nonlinear LC-circuitsin stabilized converters of the number of phases.// Jour of Adv Research in Dynamical & Control Systems, Vol. 12, Issue-06, 2020.–s.98-107

D. Jiles, D. Atherton. Theory of ferromagnetic hysteresis///Journal of Magnetism and Magnetic Materials. Pp.48-60.–1986

D. Jiles, J. Thoelke, and M. Devine, “Numerical determination of hysteresis parameters for the modeling of magnetic properties using theory of erromagnetic hysteresis,” IEEE Transactions on magnetics, pp. 27–35, 1992

G. Bertotti. Hysteresis in magnetism. San Diego, Academic Press (1998) 558 p.

I. D. Mayergoyz. IEEE Trans. Magn. 22 (5), 603 (1986).

J. V. Leite, S. L. Avila, N. J. Batistela, W. P. Carpes, N. Sadowski, P. Kuo-Peng, and J. P. A. Bastos, “Real coded genetic algorithm for jilesatherton model harameters identification,” IEEE Transactions on magnetics, vol. 40, pp. 888–891, 2004

John H. Chan, Andrei Vladimirescu, Xiao-Chun Gao, Peter Liebmann and John Valainis. Nonlinear Transformer Model for Circuit Simulation. TRANSACTIONS ON COMPUTER-AIDED DESIGN. VOL.10.1991. № 4

Romain Marion, Riccardo Scorretti, Nicolas Siauve, Marie-Ange Raulet , Laurent Krähenbühl. Identification of Jiles-Atherton model parameters using Particle Swarm Optimization.// Compumag 2007, Jun 2007, Aachen, Germany. pp.1003. hal-00179710s/1-4

V. Yu. Vvedenskiy, E. N. Tokmakova. Model of the hysteresis loop of soft-magnetic amorphous alloys with the usage of a modified linear fractional function./ Letters on Materials 11 (2), 2021 pp. 158-163

Amorphous soft magnetic alloys and their application in secondary power sources: A reference manual/ V.I. Khandogin, A.V. Raikova, N.N. Ershov, etc.; ed. Khandogina V.I. –M.: 1990.– 170 p.

Amorphous metals. Suzuki K., Fujimori H., Hashimoto K./ Ed. Masumoto Ts. Translated from Japanese.–M.: Metallurgy, 1987.-328 p.

Volodin V. Hysteresis model of nonlinear inductance of Ltspice simulator//Power electronics.2010.No.1. pp. 158-163

Volodin S. Modeling of complex electromagnetic components using the SPICE simulator LTspice/SwCadIII. //Components and Technologies, No. 4, 2008, pp.178-133

Kurbatova E.A. MATLAB7. Tutorial. M.: "Williams", 2006.-256 p.

Roginskaya L.E., Gorbunov A.S. Review of applied multiphase transformer converters of the number of phases.//Modern trends in the development of science and technology. 2016. No. 9-2. pp. 24-26.

Roginskaya L.E., Gorbunov A.S.Mathematical model of a multiphase transformer converter of the number of phases//Bulletin of scientific conferences. 2017. No. 9-3 (25). pp. 170-172.

Chernykh I.V. Modeling of electrical devices in MATLAB, SimPowerSystems and Simulink. 2007.-p.278

Article Statistics

Copyright License

Download Citations

How to Cite

Bedritskiy I.M., Jurayeva K.K., Bazarov L.Kh., & Mirasadov M.J. (2022). MODELS OF JILES-ATHERTON HYSTERESIS LOOPS AND MODELS OF MAGNETIZATION CURVES FOR MAGNETICALLY SOFT AMORPHOUS ALLOYS. American Journal of Applied Science and Technology, 2(12), 06–16. https://doi.org/10.37547/ajast/Volume02Issue12-02