PL EN


Preferences help
enabled [disable] Abstract
Number of results
2015 | 127 | 3 | 850-853
Article title

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

Authors
Content
Title variants
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
Publisher

Year
Volume
127
Issue
3
Pages
850-853
Physical description
Dates
published
2015-03
received
2015-01-08
(unknown)
2015-02-05
Contributors
author
  • 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
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv127n335kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.