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The Effective Field in the T(x) Hysteresis Model

Author

Listed:
  • 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)

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.

Suggested Citation

  • Krzysztof Roman Chwastek & Paweł Jabłoński & Dariusz Kusiak & Tomasz Szczegielniak & Václav Kotlan & Pavel Karban, 2023. "The Effective Field in the T(x) Hysteresis Model," Energies, MDPI, vol. 16(5), pages 1-18, February.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:5:p:2237-:d:1080483
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    References listed on IDEAS

    as
    1. Dejana Herceg & Krzysztof Chwastek & Đorđe Herceg, 2020. "The Use of Hypergeometric Functions in Hysteresis Modeling," Energies, MDPI, vol. 13(24), pages 1-14, December.
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