Approximation of Hysteresis Changes in Electrical Steel Sheets

Witold Mazgaj, Michal Sierzega and Zbigniew Szular
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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

Energies, 2021, vol. 14, issue 14, 1-18

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.

Keywords: electrical steel sheets; field strength; flux density; hysteresis models; magnetic hysteresis (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: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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