Abstract
Effective and robust method of determination of Jiles-Atherton model’s parameters is one of the most significant problem connected with magnetic hysteresis loop modelling. Parameters of this model are determined during the optimisation process targeting experimental results of hysteresis loop measurements. However, due to appearance of local minima, the cognitive methods have to be applied. One of the most common method are evolutionary strategies. On the other hand, typical evolutionary strategies, such as μ + λ are expensive from the point of view of calculation time. To overcome this problem, differential evolution was applied. As a result, the calculation time for determination of Jiles-Atherton model’s parameters was significantly reduced.
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Jiles, D.C., Atherton, D.: Theory of ferromagnetic hysteresis. Journal of Applied Physics 55, 2115 (1984)
Jiles, D.C., Atherton, D.: Theory of ferromagnetic hysteresis. Journal of Magnetism and Magnetic Materials 61, 48 (1986)
Pop, N., Caltun, O.: Jiles-Atherton model used in the magnetization process study for the composite magnetoelectric materials based on cobalt ferrite and barium titanate. Canadian Journal of Physics 89, 787 (2011)
Chwastek, K., Szczyglowski, J.: Estimation methods for the Jiles-Atherton model parameters – a review. Electrical Review (Przegląd Elektrotechniczny) 84, 145 (2008)
Szewczyk, R.: Modelling of the magnetic and magnetostrictive properties of high permeability Mn-Zn ferrites. PRAMANA-Journal of Physics 67, 1165–1171 (2006)
Xiong, E., Wang, S., Miao, X.: Research on magnetomechanical coupling effect of Q235 steel member specimens. Journal of Shanghai Jiaotong University (Science) 17, 605 (2012)
Jia, Z., Liu, H., Wang, F., Ge, C.: Research on a novel force sensor based on giant magnetostrictive material and its model. Mathematics and Computers in Simulation 80, 1045 (2010)
Zheng, J., Cao, S., Wang, H.: Modeling of magnetomechanical effect behaviors in a giant magnetostrictive device under compressive stress. Sensors & Actuators: A. Physical 143, 204 (2008)
Zhang, D., Kim, H., Li, W., Koh, C.: Analysis of magnetizing process of a new anisotropic bonded NdFeB permanent magnet using FEM combined with Jiles-Atherton hysteresis model. IEEE Transactions on Magnetics 49, 2221 (2013)
Zirka, S.E., Moroz, Y., Harrison, R., Chwastek, K.: On physical aspects of the Jiles-Atherton hysteresis models. Journal of Applied Physics 112, 43916 (2012)
Messal, O., Sixdenier, F., Morel, L., Burais, N.: Temperature dependent extension of the Jiles-Atherton model: Study of the variation of microstructural hysteresis parameters. IEEE Transactions on Magnetics 48, 2567 (2012)
Xu, M., Xu, M., Li, J., Ma, S.: Discuss on using Jiles-Atherton theory for charactering magnetic memory effect. Journal of Applied Physics 112, 93902 (2012)
Li, J., Xu, M.: Modified Jiles-Atherton-Sablik model for asymmetry in magnetomechanical effect under tensile and compressive stress. Journal of Applied Physics 110, 63918 (2011)
Huang, S., Chen, H., Wu, C., Guan, C.: Distinguishing Internal Winding Faults From Inrush Currents in Power Transformers Using Jiles-Atherton Model Parameters Based on Correlation Coefficient. IEEE Transactions on Power Delivery 27, 548 (2012)
Jiles, D.C., Thoelke, J.B.: Theory of ferromagnetic hysteresis: determination of model parameters from experimental hysteresis loops. IEEE Trans. Magn. 25, 3928 (1989)
Pop, N.C., Caltun, O.F.: Jiles-Atherton Magnetic Hysteresis Parameters Identification. Acta Physica Polonica A 120, 491 (2011)
Chwastek, K., Szczygłowski, J.: Identification of a hysteresis model parameters with genetic algorithms. Mathematics and Computers in Simulation 71, 206 (2006)
Szewczyk, R., Frydrych, P.: Extension of the Jiles-Atherton Model for Modelling the Frequency Dependence of Magnetic Characteristics of Amorphous Alloy Cores for Inductive Components of Electronic Devices. Acta Physica Polonica A 118, 782 (2010)
Jackiewicz, D., Szewczyk, R., Salach, J.: Modelling the magnetic characteristics of construction steels. Pomiary Automatyka Robotyka 16(2), 552–555 (2012) (in Polish)
Ramesh, A., Jiles, D.C., Bi, Y.: Generalization of hysteresis modeling to anisotropic materials. Journal of Applied Physics 81, 5585 (1997)
Ramesh, A., Jiles, D., Roderik, J.: A model of anisotropic anhysteretic magnetization. IEEE Transactions on Magnetics 32, 4234 (1996)
Baghel, A., Kulkarni, S.: Hysteresis modeling of the grain-oriented laminations with inclusion of crystalline and textured structure in a modified Jiles-Atherton model. Journal of Applied Physics 113, 43908 (2013)
Scholz, W., Forster, H., Suess, D., Schrefl, T., Fidler, J.: Micromagnetic simulation of domain wall pinning and domain wall motion. Computational Materials Science 25, 540 (2002)
Szewczyk, R.: Extension for the model of the magnetic characteristics of anisotropic metallic glasses. Journal of Physics D – Applied Physics 40, 4109 (2007)
Szewczyk, R.: Modeling the magnetic properties of amorphous soft magnetic materials for sensor applications. Journal of Optoelectronics and Advanced Materials 6, 1723 (2007)
Shampine, L.F.: Vectorized Adaptive Quadrature in MATLAB. Journal of Computational and Applied Mathematics 211, 131 (2008)
Daomin, M., Shengtao, L.: A comparison of numerical methods for charge transport simulation in insulating materials. IEEE Transactions on Dielectrics and Electrical Insulation 20, 955 (2013)
Storn, R.: Differential evolution research trends and open questions. In: Chakraborty, U. (ed.) Advances in Differential Evolution. SCI, vol. 143, pp. 1–31. Springer, Heidelberg (2008)
Core Team, R.: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austriau (2013), http://www.R-project.org
Ardia, D., Mullen, K.M., Peterson, B.G., Ulrich, J.: DEoptim: Differential Evolution in R. Version 2.2.2
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Biedrzycki, R., Szewczyk, R., Švec, P., Winiarski, W. (2015). Determination of Jiles-Atherton Model Parameters Using Differential Evolution. In: Awrejcewicz, J., Szewczyk, R., Trojnacki, M., Kaliczyńska, M. (eds) Mechatronics - Ideas for Industrial Application. Advances in Intelligent Systems and Computing, vol 317. Springer, Cham. https://doi.org/10.1007/978-3-319-10990-9_2
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DOI: https://doi.org/10.1007/978-3-319-10990-9_2
Publisher Name: Springer, Cham
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