Energies (Feb 2023)

The Effective Field in the T(x) Hysteresis Model

  • Krzysztof Roman Chwastek,
  • Paweł Jabłoński,
  • Dariusz Kusiak,
  • Tomasz Szczegielniak,
  • Václav Kotlan,
  • Pavel Karban

DOI
https://doi.org/10.3390/en16052237
Journal volume & issue
Vol. 16, no. 5
p. 2237

Abstract

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Hysteresis loops constitute the source of important information for the designers of magnetic circuits in power transformers. The paper focused on the possibility to interpret the phenomenological T(x) model in terms of effective field vs. magnetization dependence. The interdependence of anhysteretic curve and hysteresis loops was emphasized. The concept of the anhysteretic plane introduced at the end of the last century by Sablik and Langman was subject to a tangible interpretation within the hyperbolic model framework. A novel geometric interpretation of the “effective field” related to the concept of affine transformation was introduced. It was shown in the paper that minor hysteresis loops of grain-oriented electrical steel may be described with the proposed formalism.

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