1. Rayleigh, Lord, "XXV. Notes on electricity and magnetism. III. On the behaviour of iron and steel under the operation of feeble magnetic forces," The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 23, No. 142, 225-245, 1887.
doi:10.1080/14786448708628000 Google Scholar
2. Mel'gui, M., "Formulas for describing non-linear and hysteresis properties of ferromagnetic materials," Defektoskopiya, Vol. 11, 3-10, 1987.
doi:10.1016/j.jmmm.2021.168323 Google Scholar
3. Fröhlich, O., "Investigations of dynamoelectric machines and electric power transmission and theoretical conclusions therefrom," Elektrotech Z, Vol. 2, 134-141, 1881.
doi:10.1016/j.jmmm.2008.04.007 Google Scholar
4. Jiles, D. C. and D. L. Atherton, "Theory of ferromagnetic hysteresis," Journal of Magnetism and Magnetic Materials, Vol. 61, No. 1-2, 48-60, 1986.
doi:10.1016/0304-8853(86)90066-1 Google Scholar
5. Nourdine, A., A. Kedous-Lebouc, G. Meunier, and T. Chevalier, "A chemical reaction hysteresis model for magnetic materials," IEEE Transactions on Magnetics, Vol. 36, No. 4, 1230-1233, Jul. 2000.
doi:10.1109/20.877662 Google Scholar
6. 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, 2020.
doi:10.1016/j.jmmm.2020.166695 Google Scholar
7. Hamel, Meziane, Ahmed Nait Ouslimane, and Farid Hocini, "A study of Jiles-Atherton and the modified arctangent models for the description of dynamic hysteresis curves," Physica B: Condensed Matter, Vol. 638, 413930, 2022.
doi:10.1016/j.physb.2022.413930 Google Scholar
8. Preisach, F., "Über die magnetische Nachwirkung," Zeitschrift für Physik, Vol. 94, No. 5, 277-302, 1935.
doi:10.1007/bf01349418 Google Scholar
9. Leite, Jean V., Abdelkader Benabou, and Nelson Sadowski, "Accurate minor loops calculation with a modified Jiles-Atherton hysteresis model," COMPEL --- The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 28, No. 3, 741-749, 2009.
doi:10.1108/03321640910940990 Google Scholar
10. Birouche, Chafik, Meziane Hamel, Ahmed Nait Ouslimane, Ratiba Fellag, and Mustapha Zaouia, "Accurate asymmetrical minor loops modeling with the modified arctangent hysteresis model," Physica B: Condensed Matter, Vol. 679, 415796, 2024.
doi:10.1016/j.physb.2024.415796 Google Scholar
11. Nourdine, A., A. Kedous-Lebouc, and G. Meunier, "A new vectorial hysteresis model for cube textured NiFe sheet based on a chemical reaction analogy," 2002 IEEE International Magnetics Conference (INTERMAG), Amsterdam, Netherlands, Apr.-May 2002.
doi:10.1109/intmag.2002.1001344
12. Do, T. P., F. Sixdenier, L. Morel, E. Morin, L. Gerbaud, and F. Wurtz, "Qualification protocol for hysteresis model of magnetic materials in static and dynamic modes. Application in design software," 19th Soft Magnetic Materials Conference, Turin, Italy, Sep. 2009.
doi:10.1109/tmag.2005.862757
13. Chailloux, Thibaut, Christian Martin, Marie-Ange Raulet, Charles Joubert, Fabien Sixdenier, and Laurent Morel, "Homogenised magnetic diffusion. Dependence of static hysteresis," European Journal of Electrical Engineering, Vol. 15, No. 2-3, 225-239, 2012.
doi:10.3166/ejee.15.225-239 Google Scholar
14. Chailloux, Thibaut, "Caractérisation et modélisation de matériaux magnétiques en hautes températures en vue d'une application au filtrage CEM," Universite Claude Bernard-Lyon I, Villeurbanne, France, 2011.
doi:10.7202/1088328ar
15. Leite, J. V., S. L. Avila, N. J. Batistela, W. P. Carpes, N. Sadowski, P. Kuo-Peng, and J. P. A. Bastos, "Real coded genetic algorithm for Jiles-Atherton model parameters identification," IEEE Transactions on Magnetics, Vol. 40, No. 2, 888-891, Mar. 2004.
doi:10.1109/tmag.2004.825319 Google Scholar
16. Karaboga, Dervis and Bahriye Akay, "A comparative study of artificial bee colony algorithm," Applied Mathematics and Computation, Vol. 214, No. 1, 108-132, 2009.
doi:10.1016/j.amc.2009.03.090 Google Scholar
17. Nourdine, A., A. Kedous-Lebouc, G. Meunier, and T. Chevalier, "A new hysteresis model generation --- Application to the transverse axis of GO SiFe sheet," IEEE Transactions on Magnetics, Vol. 37, No. 5, 3340-3344, 2002.
doi:10.1109/20.952609 Google Scholar
18. Nourdine, Amir, "Modélisation de l'hystérésis dans les matériaux magnétiques et Introduction de modèles dans le logiciel de simulation aux éléments finis Flux3D," Dept. Elect. Eng., Institute Polytechnical, Grenoble, France, 2002.
doi:10.1007/bfb0075587
19. Chikazum, S., Physics of Magnetism, Wiley, New York, 1964.
20. Hernandez, Emilio Del Moral, Carlos S. Muranaka, and José R. Cardoso, "Identification of the Jiles-Atherton model parameters using random and deterministic searches," Physica B: Condensed Matter, Vol. 275, No. 1-3, 212-215, 2000.
doi:10.1016/s0921-4526(99)00766-8 Google Scholar
21. Bai, Baodong, Jiayin Wang, and Keqing Zhu, "Identification of the Jiles-Atherton model parameters using simulated annealing method," 2011 International Conference on Electrical Machines and Systems, 1-4, Beijing, China, Aug. 2011.
doi:10.1109/icems.2011.6073612
22. Marion, Romain, Riccardo Scorretti, Nicolas Siauve, Marie-Ange Raulet, and Laurent Krahenbuhl, "Identification of Jiles-Atherton model parameters using particle swarm optimization," IEEE Transactions on Magnetics, Vol. 44, No. 6, 894-897, Jun. 2008.
doi:10.1109/tmag.2007.914867 Google Scholar
23. Glover, Fred, James P. Kelly, and Manuel Laguna, "Genetic algorithms and Tabu search: Hybrids for optimization," Computers & Operations Research, Vol. 22, No. 1, 111-134, Jan. 1995.
doi:10.1016/0305-0548(93)e0023-m Google Scholar
24. Karaboga, D. and B. Basturk, "On the performance of artificial bee colony (ABC) algorithm," Applied Soft Computing, Vol. 8, No. 1, 687-697, 2008.
doi:10.1016/j.asoc.2007.05.007 Google Scholar
25. 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
26. Karaboga, Dervis and Bahriye Akay, "A comparative study of artificial bee colony algorithm," Applied Mathematics and Computation, Vol. 214, No. 1, 108-132, 2009.
doi:10.1016/j.amc.2009.03.090 Google Scholar
27. Houck, C. R., J. Joines, and M. G. Kay, "A genetic algorithm for function optimization: A Matlab implementation," NCSU-IE TR 95-09, 1995.
doi:10.1080/10170669.2000.10432873 Google Scholar
28. Chwastek, Krzysztof and Jan Szczyglowski, "Identification of a hysteresis model parameters with genetic algorithms," Mathematics and Computers in Simulation, Vol. 71, No. 3, 206-211, 2006.
doi:10.1016/j.matcom.2006.01.002 Google Scholar
29. Hergli, K., H. Marouani, M. Zidi, Yasser Fouad, and Mohamed Elshazly, "Identification of Preisach hysteresis model parameters using genetic algorithms," Journal of King Saud University --- Science, Vol. 31, No. 4, 746-752, 2019.
doi:10.1016/j.jksus.2017.11.005 Google Scholar
30. Hergli, Khaoula, Haykel Marouani, and Mondher Zidi, "Numerical determination of Jiles-Atherton hysteresis parameters: Magnetic behavior under mechanical deformation," Physica B: Condensed Matter, Vol. 549, 74-81, 2018.
doi:10.1016/j.physb.2017.09.126 Google Scholar
31. Cicirello, Vincent A. and Stephen F. Smith, "Modeling GA performance for control parameter optimization," GECCO-2000: Proceedings of the Genetic and Evolutionary Computation Conference, 235-242, Morgan Kaufmann Publishers, Las Vegas, 2000.
doi:10.1007/978-3-540-30201-8_17
32. Bramlette, M. F., "Initialization, mutation and selection methods in genetic algorithms for function optimization," Proc. of the 4th International Conference on Genetic Algorithms, 100-107, San Mateo, CA, USA, 1991.
doi:10.1109/icec.1994.349936
33. Srinivas, M. and L. M. Patnaik, "Adaptive probabilities of crossover and mutation in genetic algorithms," IEEE Transactions on Systems, Man, and Cybernetics, Vol. 24, No. 4, 656-667, 1994.
doi:10.1109/21.286385 Google Scholar
34. Fernandez-Prieto, J. A., J. Canada-Bago, M. A. Gadeo-Martos, and Juan R. Velasco, "Optimisation of control parameters for genetic algorithms to test computer networks under realistic traffic loads," Applied Soft Computing, Vol. 11, No. 4, 3744-3752, 2011.
doi:10.1016/j.asoc.2012.04.018 Google Scholar
35. De Jong, Kenneth, "Parameter setting in EAs: A 30 year perspective," Parameter Setting in Evolutionary Algorithms, 1-18, Springer Berlin Heidelberg, Berlin, Heidelberg, 2007.
doi:10.1007/978-3-540-69432-8_1
36. Worden, K. and G. Manson, "On the identification of hysteretic systems. Part I: Fitness landscapes and evolutionary identification," Mechanical Systems and Signal Processing, Vol. 29, 201-212, 2012.
doi:10.1016/j.ymssp.2012.01.004 Google Scholar
37. Gabi, Yasmine, "Modélisation FEM du système de contrôle non destructif 3MA en ligne de production des aciers dual phase," G2ELab --- Laboratoire de Genie Electrique de Grenoble, France, 2012.
doi:10.3390/app9061068