1. Jiles, D. C. and D. L. Atherton, "Theory of ferromagnetic hysteresis," Journal of Magnetism and Magnetic Materials, Vol. 61, No. 1-2, 48-60, Sep. 1986.
doi:10.1016/0304-8853(86)90066-1 Google Scholar
2. Jiles, D. C., "Frequency dependence of hysteresis curves in conducting magnetic materials," Journal of Applied Physics, Vol. 76, No. 10, 5849-5855, 1994.
doi:10.1063/1.358399 Google Scholar
3. Regan, Alasdair, John Wilson, and Anthony J. Peyton, "Extension to the Jiles-Atherton hysteresis model using gaussian distributed parameters for quenched and tempered engineering steels," Sensors (Basel, Switzerland), Vol. 25, No. 5, 1328, Feb. 2025.
doi:10.3390/s25051328 Google Scholar
4. She, Saibo, Xiaochu Pang, Jun Liu, Xinnan Zheng, Kuohai Yu, Xun Zou, Ruoxuan Zhu, Rui Guo, and Wuliang Yin, "Fast inversion of parameters on Jiles-Atherton hysteresis model based on physics-guided deep learning network," Engineering Applications of Artificial Intelligence, Vol. 157, 111233, Oct. 2025.
doi:10.1016/j.engappai.2025.111233 Google Scholar
5. Zirka, S. E., Y. I. Moroz, P. Marketos, and A. J. Moses, "Viscosity-based magnetodynamic model of soft magnetic materials," IEEE Transactions on Magnetics, Vol. 42, No. 9, 2121-2132, Sep. 2006.
doi:10.1109/tmag.2006.880685 Google Scholar
6. Zirka, S. E., Y. I. Moroz, S. Steentjes, K. Hameyer, K. Chwastek, S. Zurek, and R. G. Harrison, "Dynamic magnetization models for soft ferromagnetic materials with coarse and fine domain structures," Journal of Magnetism and Magnetic Materials, Vol. 394, 229-236, 2015.
doi:10.1016/j.jmmm.2015.06.082 Google Scholar
7. Wang, Tianyu, Mohammad Noori, Wael A. Altabey, Zhishen Wu, Ramin Ghiasi, Sin-Chi Kuok, Ahmed Silik, Nabeel S. D. Farhan, Vasilis Sarhosis, and Ehsan Noroozinejad Farsangi, "From model-driven to data-driven: A review of hysteresis modeling in structural and mechanical systems," Mechanical Systems and Signal Processing, Vol. 204, 110785, 2023.
doi:10.1016/j.ymssp.2023.110785 Google Scholar
8. Mayergoyz, I., "Mathematical models of hysteresis," IEEE Transactions on Magnetics, Vol. 22, No. 5, 603-608, Sep. 1986.
doi:10.1109/tmag.1986.1064347 Google Scholar
9. Duan, Nana, Xinyang Gao, Lingjia Zhang, Weijie Xu, Song Huang, Mengxue Lu, and Shuhong Wang, "An improved Preisach model for magnetic hysteresis of grain-oriented silicon steel under PWM excitation," Applied Sciences, Vol. 14, No. 1, 321, 2024.
doi:10.3390/app14010321 Google Scholar
10. Antonio, Simone Quondam, Francesco Riganti Fulginei, Antonino Laudani, Antonio Faba, and Ermanno Cardelli, "An effective neural network approach to reproduce magnetic hysteresis in electrical steel under arbitrary excitation waveforms," Journal of Magnetism and Magnetic Materials, Vol. 528, 167735, 2021.
doi:10.1016/j.jmmm.2021.167735 Google Scholar
11. Xiao, Shunli and Yangmin Li, "Modeling and high dynamic compensating the rate-dependent hysteresis of piezoelectric actuators via a novel modified inverse Preisach model," IEEE Transactions on Control Systems Technology, Vol. 21, No. 5, 1549-1557, Sep. 2013.
doi:10.1109/tcst.2012.2206029 Google Scholar
12. Ramirez-Laboreo, Edgar, Maurice G. L. Roes, and Carlos Sagues, "Hybrid dynamical model for reluctance actuators including saturation, hysteresis, and eddy currents," IEEE/ASME Transactions on Mechatronics, Vol. 24, No. 3, 1396-1406, 2019.
doi:10.1109/tmech.2019.2906755 Google Scholar
13. Szabó, Zsolt and János Füzi, "Implementation and identification of Preisach type hysteresis models with Everett function in closed form," Journal of Magnetism and Magnetic Materials, Vol. 406, 251-258, 2016.
doi:10.1016/j.jmmm.2016.01.027 Google Scholar
14. Jiles, D. and D. Atherton, "Ferromagnetic hysteresis," IEEE Transactions on Magnetics, Vol. 19, No. 5, 2183-2185, Sep. 1983.
doi:10.1109/tmag.1983.1062594 Google Scholar
15. Yang, Lei, Bingxiao Ding, Wenhu Liao, and Yangmin Li, "Identification of Preisach model parameters based on an improved particle swarm optimization method for piezoelectric actuators in micro-manufacturing stages," Micromachines, Vol. 13, No. 5, 698, Apr. 2022.
doi:10.3390/mi13050698 Google Scholar
16. Yao, Jicheng, Xiaonan Luo, Fang Li, Ji Li, Jundi Dou, and Hongtai Luo, "Research on hybrid strategy Particle Swarm Optimization algorithm and its applications," Scientific Reports, Vol. 14, No. 1, 24928, Oct. 2024.
doi:10.1038/s41598-024-76010-y Google Scholar
17. Sedira, D., Y. Gabi, A. Kedous-Lebouc, K. Jacob, B. Wolter, and B. Strass, "A comparison between ABC method and PSO method for Hysteresis Parameter determination," 25th Soft Magnetic Materials Conference (SMM'2022), hal-03676283, Grenoble, France, 2022.
18. Sedira, D., Y. Gabi, A. Kedous-Lebouc, K. Jacob, B. Wolter, and B. Straß, "ABC method for hysteresis model parameters identification," Journal of Magnetism and Magnetic Materials, Vol. 505, 166724, Jul. 2020.
doi:10.1016/j.jmmm.2020.166724 Google Scholar
19. Gabi, Y., K. Jacob, B. Wolter, C. Conrad, B. Strass, and J. Grimm, "Analysis of incremental and differential permeability in NDT via 3D-simulation and experiment," Journal of Magnetism and Magnetic Materials, Vol. 505, 166695, Jul. 2020.
doi:10.1016/j.jmmm.2020.166695 Google Scholar
20. Mayergoyz, I. D., Mathematical Models of Hysteresis, 1-207, Springer-Verlag, 1991.
21. Szabó, Zsolt and János Füzi, "Preisach type hysteresis models with Everett function in closed form," Proceedings of the COMPUMAG 20th Conference on the Computation of Electromagnetic Fields, Montreal, Canada, 2015.
doi:10.13140/RG.2.1.5058.3529
22. Szabó, Z., I. Tugyi, G. Kádár, and J. Füzi, "Identification procedures for scalar Preisach model," Physica B: Condensed Matter, Vol. 343, No. 1-4, 142-147, 2004.
doi:10.1016/j.physb.2003.08.086 Google Scholar
23. Everett, D. H., "A general approach to hysteresis. Part 4. An alternative formulation of the domain model," Transactions of the Faraday Society, Vol. 51, 1551-1557, 1955.
doi:10.1039/tf9555101551 Google Scholar
24. Bertotti, G., "Generalized Preisach model for the description of hysteresis and eddy current effects in metallic ferromagnetic materials," Journal of Applied Physics, Vol. 69, No. 8, 4608-4610, Apr. 1991.
doi:10.1063/1.348325 Google Scholar
25. Mörée, Gustav and Mats Leijon, "Review of hysteresis models for magnetic materials," Energies, Vol. 16, No. 9, 3908, 2023.
doi:10.3390/en16093908 Google Scholar
26. De Santis, Valerio, Antonio Di Francesco, and Alessandro G. D’Aloia, "A numerical comparison between Preisach, J-A and D-D-D hysteresis models in computational electromagnetics," Applied Sciences, Vol. 13, No. 8, 5181, Apr. 2023.
doi:10.3390/app13085181 Google Scholar
27. Finocchio, Giovanni, Mario Carpentieri, Bruno Azzerboni, Claudio Ampelli, and Giuseppe Maschio, "An isotropic analytical vector Preisach model based on the Lorentzian function," Physica Status Solidi (C), Vol. 1, No. 12, 3740-3743, Dec. 2004.
doi:10.1002/pssc.200405563 Google Scholar
28. Azzerboni, B., E. Cardelli, E. Della Torre, and G. Finocchio, "Reversible magnetization and Lorentzian function approximation," Journal of Applied Physics, Vol. 93, No. 10, 6635-6637, May 2003.
doi:10.1063/1.1557698 Google Scholar
29. Pruksanubal, P., A. Binner, and K. H. Gonschorek, "Determination of distribution functions and parameters for the Preisach hysteresis model," 2006 17th International Zurich Symposium on Electromagnetic Compatibility, 258-261, Singapore, 2006.
doi:10.1109/EMCZUR.2006.214919
30. Evans, Phillip G. and Marcelo J. Dapino, "Measurement and modeling of magnetic hysteresis under field and stress application in iron-gallium alloys," Journal of Magnetism and Magnetic Materials, Vol. 330, 37-48, Mar. 2013.
doi:10.1016/j.jmmm.2012.10.002 Google Scholar
31. Xiao, Kun, Zhiwen Wang, Hongyuan Wang, Jie Sun, Yelong Zheng, and Yinguo Huang, "A precision-drive hysteresis model with an equal-density weight function for GMA feedforward compensation," Nanotechnology and Precision Engineering, Vol. 6, No. 2, 023002, Mar. 2023.
doi:10.1063/10.0017659 Google Scholar
32. Yu, Shicheng, Haitao Li, Jinji Sun, and Zenghui Wang, "Accurate fitting of Preisach model parameters using GMM with non-uniform grid partition," Measurement Science and Technology, Vol. 36, No. 4, 046126, 2025.
doi:10.1088/1361-6501/adc621 Google Scholar
33. Peng, Daixiao, Wenxia Sima, Ming Yang, Mi Zou, Yuan Zhou, and Yonglai Liu, "An improved centered cycle method for identifying the Preisach distribution function," IEEE Transactions on Magnetics, Vol. 54, No. 11, 1-5, Nov. 2018.
doi:10.1109/tmag.2018.2828806 Google Scholar
34. Li, Xin, Dohyung Kim, Sabine M. Neumayer, Mahshid Ahmadi, and Sergei V. Kalinin, "Estimating Preisach density via subset selection," IEEE Access, Vol. 8, 61767-61774, 2020.
doi:10.1109/access.2020.2983364 Google Scholar
35. Zhao, Hanyu, Xianlu Zhao, Shu Xu, Weihao Liu, Yujie Wu, and Yutao An, "Hysteresis and loss characteristics of soft magnetic materials based on nonlinear Preisach model," Journal of Superconductivity and Novel Magnetism, Vol. 36, No. 7, 1655-1664, 2023.
doi:10.1007/s10948-023-06606-4 Google Scholar
36. Melo, Pedro and Rui Esteves Araújo, "An overview on Preisach and Jiles-Atherton hysteresis models for soft magnetic materials," 8th Doctoral Conference on Computing, Electrical and Industrial Systems (DoCEIS), 398-405, Costa de Caparica, Portugal, 2017.
doi:10.1007/978-3-319-56077-9_39
37. Gabi, Yasmine, Kevin Jacob, and Klaus Szielasko, "Parameters optimization of the chemical reaction hysteresis model using genetic algorithms and the artificial bee colony method," Progress In Electromagnetics Research C, Vol. 158, 19-25, 2025.
doi:10.2528/pierc25031406 Google Scholar
38. Li, Yajie, Longlong Li, Xiaoying Yang, and Bingfeng Zhao, "Flexible job shop scheduling based on energy consumption of method research," IEEE Access, Vol. 13, 127885-127901, 2025.
doi:10.1109/access.2025.3589064 Google Scholar