The Effective Field in the T(x) Hysteresis Model

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 anhystereti...

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Bibliographic Details
Published inEnergies (Basel) Vol. 16; no. 5; p. 2237
Main Authors Chwastek, Krzysztof Roman, Jabłoński, Paweł, Kusiak, Dariusz, Szczegielniak, Tomasz, Kotlan, Václav, Karban, Pavel
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.03.2023
Subjects
Affine transformations
Circuit design
Circuits
Electric transformers
electrical steel
Energy
Equipment and supplies
geometric interpretation
Hysteresis
Hysteresis loops
Hysteresis models
Magnetic circuits
Metallurgy
modeling
Steel production
T(x) model
Poland
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Summary: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.
ISSN:1996-1073
1996-1073
DOI:10.3390/en16052237