Skip to main content
SpringerLink
Log in

Selection of Optimal Parameters for the Jiles–Atherton Magnetic Hysteresis Model

  • Published:
Russian Electrical Engineering Aims and scope Submit manuscript

Abstract

A method is proposed for implementation of the most popular hysteresis model, the Jiles–Atherton model, which has a number of advantages over other models. A technique for optimization of the parameters of the hysteresis model based on a real coded genetic algorithm is presented. The method is implemented in two stages. The first stage involves preliminary estimation of the model parameters and the range of their variation. The second stage is the direct implementation of the genetic algorithm. The criterion of convergence is based on the achievement of a preset value of the standard deviation and the maximum permissible number of generations. The genetic algorithm was implemented with 50 individuals. Each individual is associated with four variables that correspond to the hysteresis model parameters. The maximum number of generations was set to 50 and 100. The initial probabilities of the crossover and mutations were set to 90 and 5%, respectively. A specific feature of the proposed implementation of the genetic algorithm consists in internal optimization of the fifth parameter for each individual of the population. The computer code was developed using the Delphi environment. Comparison of the experimental and simulated curves showed good agreement. A method that involves preliminary estimation of the parameters and further application of the genetic algorithm yields rather accurate results, is easy to implement, and provides a high data-processing speed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.

Similar content being viewed by others

REFERENCES

  1. Jiles, D.C. and Atherton, D.L., Theory of ferromagnetic hysteresis, J. Magn. Magn. Mater., 1986, vol. 61.

  2. Bergqvist, A.J., A simple vector generalization of the Jiles-Atherton model of hysteresis, IEEE Trans. Magn., 1996, vol. 32, no. 5.

  3. Bastos, J.P.A. and Sadowski, N., Electromagnetic Modeling by Finite Element Methods, Florianopolis: Univ. Fed. Santa Catarina, 2003.

    Book  Google Scholar 

  4. Chan, J.H., Vladirimescu, A., Gao, X.C., Libmann, P., and Valainis, J., Nonlinear transformer model for circuit simulation, IEEE Trans. Comput. Aided Des., 1991, vol. 10, no. 4.

  5. Brociek, W. and Wilanowicz, R., Influence of supplying voltage on deformation of current in transformer, Przegl. Elektrotech., 2013, vol. 89, no. 4.

  6. Razevig, V.D., Skhemotekhnicheskoe modelirovanie s pomoshch’yu Micro-CAP 7 (Scheme Engineering Modeling in Micro-CAP 7), Moscow: Goryachaya Liniya-Telekom, 2003.

Download references

ACKNOWLEDGMENTS

This work was supported by the Russian Science Foundation, project no. 17-79-10055.

Author information

Authors and Affiliations

  1. Platov South Russian State Polytechnic University, 346428, Novocherkassk, Russia

    I. B. Podbereznaya, V. V. Medvedev, A. V. Pavlenko & I. A. Bol’shenko

Authors
  1. I. B. Podbereznaya
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. V. Medvedev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. V. Pavlenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. I. A. Bol’shenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. B. Podbereznaya.

Additional information

Translated by O. Lotova

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Podbereznaya, I.B., Medvedev, V.V., Pavlenko, A.V. et al. Selection of Optimal Parameters for the Jiles–Atherton Magnetic Hysteresis Model. Russ. Electr. Engin. 90, 80–85 (2019). https://doi.org/10.3103/S1068371219010115

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068371219010115

Keywords:

Search

Navigation