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

100%
Sokalski K.
Acta Physica Polonica A
|
2015
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vol. 127
|
issue 3
850-853
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.
2
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Data Collapse of Energy Loss in Soft Magnetic Materials as a Way for Testing Measurement Set

63%
Sokalski K., Szczygłowski J.
|
|
issue 3
497-499
EN
Basing on the data collapse of the energy loss in soft magnetic materials, we propose a dimensionless measure of measurement set's uncertainty. The derived measure enables to compare uncertainty of different measurement sets and comparison of measurement data.
3
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Formula for Energy Loss in Soft Magnetic Materials and Scaling

63%
Sokalski K., Szczygłowski J.
Acta Physica Polonica A
|
2009
|
vol. 115
|
issue 5
920-924
EN
Basing on scale invariance of considered system an improvement of the Bertotti formula for energy loss in soft magnetic materials has been achieved. Assumptions of the Bertotti theory were discussed and criticized. As an alternative to this theory a new approach basing on the scale invariance of complex systems has been presented. The generalized description of energy loss has been recently postulated by us in the form of the homogeneous function in a general sense which leads to a series expansion for the energy loss. On the basis of measurement data it has been proved that only two first terms of the series are relevant. New measurements of the energy loss in soft magnetic materials have been performed which confirms the scaling theory. The obtained formula enables very simple description of the energy loss in soft magnetic materials, taking into considerations wide ranges of frequency and magnetic induction. The revealed data collapse of energy loss enables comparison of energy losses data taken by different methods. This phenomenon also supplies new criterion for correctness of empirical data.
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