An Approach to Modeling and Scaling of Hysteresis in Magnetic Materials. Magnetization Curve

• Authors: K. Sokalski
• Languages of publication: EN

Abstracts

EN

A new mathematical model of hysteresis loop has been derived. Model consists in an extension of tanh(·) by extending the base of exp function into an arbitrary positive number. The presented model is self-similar and invariant with respect to scaling. Scaling of magnetic hysteresis loop has been done using the notion of homogeneous function in general sense.

Keywords

EN

75.50.-y; 75.60.-d; 89.75.Da

Discipline

• 75.60.-d: Domain effects, magnetization curves, and hysteresis(for dynamics of domain structures, see 75.78.Fg)
• 75.50.-y: Studies of specific magnetic materials
• 89.75.Da: Systems obeying scaling laws

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 127
• Issue: 3
• Pages: 850-853

Dates

published

2015-03

received

2015-01-08

(unknown)

2015-02-05

Contributors

author

K. Sokalski

• Institute of Computer Science, Częstochowa University of Technology, al. Armii Krajowej 17, 42-200 Częstochowa, Poland

References

• [1] D.C. Jiles, D.L. Atherton, IEEE Trans. Magn. 19, 2183 (1983), doi: 10.1109/TMAG.1983.1062594
• [2] D.C. Jiles, D.L. Atherton, J. Appl. Phys. 55, 2115 (1984), doi: 10.1016/0304-8853(86)90066-1
• [3] J. Szczygłowski, J. Magn. Magn. Mater. 223, 97 (2001), doi: 10.1016/S0304-8853(00)00584-9
• [4] K. Chwastek, Physica B 403, 2484 (2008), doi: 10.1016/j.physb.2008.01.010
• [5] R.G. Harrison, IEEE Trans. Magn. 39, 950 (2003), doi: 10.1109/TMAG.2003.808590
• [6] R.G. Harrison, IEEE Trans. Magn. 45, 1922 (2009), doi: 10.1109/TMAG.2008.2008010
• [7] J. Takács, COMPEL: Int. J. Comput. Math. Electr. Electron. Eng. 20, 1014 (2001), doi: 10.1108/EUM0000000005771
• [8] J. Takács, Mathematics of Hysteretic Phenomena, Wiley-VCH, Weinheim 2003
• [9] S.E. Zirka, Y.I. Moroz, IEEE Trans. Magn. 35, 2090 (1999), doi: 10.1109/20.774177
• [10] G. Bertotti, Hysteresis in Magnetism, Academic Press, San Diego 1998
• [11] B.D. Cullity, Introduction to Magnetic Materials, Addison-Wesley, Reading, Massachusetts 1972
• [12] The Science of Hysteresis, Vols. 1-3, Eds. G. Bertotti, I.D. Mayergoyz, Academic Press, Amsterdam 2005
• [13] S.E. Zirka, Y.I. Moroz, R.G. Harrison, N. Chiesa, IEEE Trans. Power Deliv. 29, 552 (2014), doi: 10.1109/TPWRD.2013.2274530
• [14] K. Sokalski, J. Szczygłowski, M. Najgebauer, W. Wilczyński, COMPEL: Int. J. Comput. Math. Electr. Electron. Eng. 26, 640 (2007)
• [15] A. Ruszczyk, K. Sokalski, J. Szczygłowski, arXiv:1309.0022
• [16] G.I. Barenblatt, Scaling, Cambridge Texts in Applied Mathematics, Cambridge University Press, Cambridge 2003
• [17] M. Hamermesh, Group Theory and Its Application to Physical Problems, Pergamon Press, London 1962
• [18] F. Preisach, Z. Phys. 94, 277 (1935), doi: 10.1007/BF01349418
• [19] B Ślusarek, B. Jankowski, K. Sokalski, J. Szczygłowski, J. Alloys. Comp. 581, 699 (2013), doi: 10.1016/j.jallcom.2013.07.084
• [20] K.Z. Sokalski, B. Jankowski, B. Ślusarek, Materials Sciences and Applications 5, 1040 (2014), doi: 10.4236/msa.2014.514107

Identifiers

DOI

10.12693/APhysPolA.127.850