The Effective Field in the T(x) Hysteresis Model

Krzysztof Roman Chwastek (), Paweł Jabłoński, Dariusz Kusiak, Tomasz Szczegielniak, Václav Kotlan and Pavel Karban
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Krzysztof Roman Chwastek: Faculty of Electrical Engineering, Częstochowa University of Technology, 42-201 Częstochowa, Poland
Paweł Jabłoński: Faculty of Electrical Engineering, Częstochowa University of Technology, 42-201 Częstochowa, Poland
Dariusz Kusiak: Faculty of Electrical Engineering, Częstochowa University of Technology, 42-201 Częstochowa, Poland
Tomasz Szczegielniak: Faculty of Electrical Engineering, Częstochowa University of Technology, 42-201 Częstochowa, Poland
Václav Kotlan: Faculty of Electrical Engineering, University of West Bohemia, 304 14 Pilsen, Czech Republic
Pavel Karban: Faculty of Electrical Engineering, University of West Bohemia, 304 14 Pilsen, Czech Republic

Energies, 2023, vol. 16, issue 5, 1-18

Abstract: 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.

Keywords: modeling; T(x) model; geometric interpretation; electrical steel (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2023
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