A MODIFIED GAUSSIAN FUNCTION FOR MODELING MAGNETIC HYSTERESIS UNDER DYNAMIC CONDITIONS
DOI:
https://doi.org/10.59277/RRST-EE.2026.2.15Keywords:
Preisach model, Magnetic hysteresis, Modified Gaussian distribution, Particle swarm optimization (PSO), NiFe₂O₄, Dynamic effects, Frequency, TemperatureAbstract
This paper presents a novel modified Gaussian distribution for the Preisach model to improve magnetic hysteresis modeling. Unlike classical distributions, the proposed approach incorporates additional parameters that provide a more accurate representation of the dispersion of elementary relay switching thresholds. The influence of each parameter on the hysteresis loop shape is analyzed in detail. The model parameters are identified using the particle swarm optimization (PSO) method, based on experimental data. The simulation results are then compared with experimental measurements on a NiFe₂O₄ ferrite, accounting for dynamic effects due to temperature and frequency. The results show that the proposed model provides good agreement between simulation and experiment, particularly regarding the width and slope of the hysteresis loops.
References
(1) M.N. Benallal, A. Mahieddine, C.K. Khelil, A. Mazouz, Use of the BH curves approximation for the calculation of magnetic circuits in electrical machines, Rev. Roum. Sci. Techn. – Électrotechn. et Énerg., 68, 1, pp. 42–45 (2023).
(2) S. Gao, Y. Li, H. Zhang, J. Tian, A decoupled magnetic integration technique for dual-frequency topologies, Rev. Roum. Sci. Techn. – Électrotechn. et Énerg., 69, 2, pp. 153–158 (2024).
(3) O. Craiu, T.-I. Ichim, Comparison of two bi-phase hybrid stepper motors, one with a solid and the other with a laminated stator, Rev. Roum. Sci. Techn. – Électrotechn. et Énerg., 70, 2, pp. 181–186 (2025).
(4) T. Tudorache, Finite element analysis of a flexible dual-speed salient pole synchronous machine, Rev. Roum. Sci. Techn. – Électrotechn. et Énerg., 70, 1, pp. 21–26 (2025).
(5) O. Toudert, F. Auger, A. Houari, M. Laghrouche, Novel rotor position extraction based on rotating high-frequency voltage injection for permanent magnet synchronous machine drives at low or zero speeds, Rev. Roum. Sci. Techn. – Électrotechn. et Énerg., 68, 2, pp. 188–193 (2023).
(6) I.D. Mayergoyz, Mathematical models of hysteresis, Elsevier, pp. 1–300 (2003).
(7) I.D. Mayergoyz, Mathematical models of hysteresis and their applications, IEEE Trans. Power Systems, pp. 1–10 (1992).
(8) Y. Bernar, E. Mendes, Z. Ren, A new method for the determination of the parameters in Preisach model, CEFC'98, Tucson, Arizona, USA, pp. 1–6 (1998).
(9) S. Clénet, F. Piriou, Identification de la fonction d'Everett pour le modèle de Preisach, MGE 2000, Lille, France, pp. 71–74 (2000).
(10) G. Bertotti, V. Basso, Considerations on the physical interpretation of the Preisach model of ferromagnetic hysteresis, Journal of Applied Physics, pp. 1–10 (1993).
(11) P. Pruksanubal, A. Binner, K.H. Gonschorek, Modeling of magnetic hysteresis using Cauchy distribution, 3rd International Symposium on Electromagnetic Compatibility, pp. 446–449 (2002).
(12) Y.O. Amor, M. Féliachi, Présentation d'une fonction de Lorentz modifiée pour une modélisation de l'hystérésis magnétique, Colloque MGE 2000 sur les matériaux du génie électrique, Lille, France, pp. 1–6 (2000).
(13) M. Dafri, A. Lajimi, S. Mendaci, A. Babouri, Modeling of magnetic hysteresis using Student distribution, J. Supercond. Nov. Magn., pp. 1–10 (2020).
(14) F. Delincé, Modélisation des régimes transitoires dans les systèmes comportant des matériaux magnétiques non linéaires et hystérétiques, Ph.D. dissertation, Faculté des Sciences Appliquées de Liège, pp. 1–200 (1994).
(15) G. Bertotti, Dynamic generalization of the scalar Preisach model of hysteresis, IEEE Transactions on Magnetics, 28, 5, pp. 2599–2601 (1992).
(16) Y. Bernard, E. Mendes, F. Bouillault, Dynamic hysteresis modeling based on Preisach model, IEEE Transactions on Magnetics, 38, 2, pp. 885–888 (2002).
(17) A. Ladjimi, M. Dafri, S. Fisli, Phenomenological model of the frequency-dependent hysteresis of ferrite NiFe₂O₄, Rev. Roum. Sci. Techn. – Électrotechn. et Énerg., 67, 3, pp. 275–279 (2022).
(18) A. Ladjimi, A. Babouri, Modeling of frequency effects in a Jiles-Atherton magnetic hysteresis model, Rev. Roum. Sci. Techn. – Électrotechn. et Énerg., 61, pp. 217–220 (2016).
(19) S.H. Ould Ouali, H. Mohelleb, R. Chaîbi, M. Féliachi, Introduction de l'effet de la température dans le modèle de Preisach pour la génération des cycles d'hystérésis, J. Phys. IV France, 124, pp. 315–320 (2005).
(20) H. Chen, Q. Xu, Y. Xiang, Y. Huang, Temperature characteristics modeling of Preisach theory, MATEC Web of Conferences, 139, pp. 1–6 (2017).
(21) T. Monnor, K. Kanchiang, R. Yimnirun, Y. Laosiritaworn, Preisach modeling on temperature-dependent mean-field Ising-hysteresis, Ferroelectrics, 459, 1, pp. 128–133 (2014).
(22) M. Dafri, A. Ladjimi, S. Mendaci, A. Babouri, Phenomenological model of the temperature dependence of hysteresis based on the Preisach model, J. Supercond. Nov. Magn., 34, pp. 1453–1458 (2021).
(23) H. Zhang, Q. Yang, C. Zhang, Y. Li, Y. Chen, Temperature-dependent hysteresis model based on temporal convolutional network, AIP Advances, 14, 2, pp. 1–10 (2024).
(24) R. Eberhart, J. Kennedy, A new optimizer using particle swarm theory, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science, Nagoya, Japan, pp. 39–43 (1995).
(25) L. Chen, Q. Yi, T. Ben, Z. Zhang, Y. Wang, Parameter identification of Preisach model based on velocity-controlled particle swarm optimization method, AIP Advances, 11, pp. 1–10 (2021).
(26) F. Preisach, Über die magnetische Nachwirkung, Zeitschrift für Physik, pp. 1–10 (1935).
(27) R. Marion, R. Scorretti, N. Siauve, M. Raulet, L. Krahenbuhl, Identification of Jiles–Atherton model parameters using particle swarm optimization, IEEE Transactions on Magnetics, 44, 6, pp. 894–897 (2008)..
Downloads
Published
Issue
Section
License
Copyright (c) 2026 REVUE ROUMAINE DES SCIENCES TECHNIQUES — SÉRIE ÉLECTROTECHNIQUE ET ÉNERGÉTIQUE

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.