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Approximation of Hysteresis Changes in Electrical Steel Sheets

Author

Listed:
  • Witold Mazgaj

    (Department of Electrical Engineering, Cracow University of Technology, 31-155 Krakow, Poland)

  • Michal Sierzega

    (Department of Electrical Engineering, Cracow University of Technology, 31-155 Krakow, Poland)

  • Zbigniew Szular

    (Department of Electrical Engineering, Cracow University of Technology, 31-155 Krakow, Poland)

Abstract

This paper describes a simple method of approximating hysteresis changes in electrical steel sheets. This method is based on assumptions that flux density or field strength changes are a sum or a difference of functions that describe one curve of the limiting hysteresis loop and a certain ‘transient’ component. Appropriate formulas that present the flux density as functions of the field strength and those that present inverse dependencies are proposed. An application of this approximation requires knowledge of the measured limiting hysteresis loop and a few minor loops. Algorithms for determining changes in the flux density or field strength are proposed and discussed. The correctness of the proposed approximation of hysteresis changes was verified through a comparison of measured hysteresis loops with the loops calculated for several different excitations of the magnetic field occurring in dynamo and transformer steel sheets. Additionally, an example of the application of the proposed approximation of hysteresis changes is discussed in the paper. The proposed approximation of hysteresis changes is recommended for numerical calculations of the magnetic field distribution in dynamo and transformer steel sheets.

Suggested Citation

  • Witold Mazgaj & Michal Sierzega & Zbigniew Szular, 2021. "Approximation of Hysteresis Changes in Electrical Steel Sheets," Energies, MDPI, vol. 14(14), pages 1-18, July.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:14:p:4110-:d:590386
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    References listed on IDEAS

    as
    1. Novak, Miroslav & Eichler, Jakub & Kosek, Miloslav, 2018. "Difficulty in identification of Preisach hysteresis model weighting function using first order reversal curves method in soft magnetic materials," Applied Mathematics and Computation, Elsevier, vol. 319(C), pages 469-485.
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    Cited by:

    1. Gustav Mörée & Mats Leijon, 2023. "Review of Hysteresis Models for Magnetic Materials," Energies, MDPI, vol. 16(9), pages 1-66, May.
    2. Fabio Corti & Alberto Reatti & Gabriele Maria Lozito & Ermanno Cardelli & Antonino Laudani, 2021. "Influence of Non-Linearity in Losses Estimation of Magnetic Components for DC-DC Converters," Energies, MDPI, vol. 14(20), pages 1-16, October.

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