Approximation of Hysteresis Changes in Electrical Steel Sheets

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...

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Bibliographic Details
Published in:Energies (Basel) 2021-07, Vol.14 (14), p.4110
Main Authors: Mazgaj, Witold, Sierzega, Michal, Szular, Zbigniew
Format: Article
Language:English
Subjects:
Approximation
electrical steel sheets
Field strength
Fluctuations
Flux density
Hysteresis
Hysteresis loops
hysteresis models
Magnetic fields
magnetic hysteresis
Magnetism
Metal sheets
Steel
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Summary: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.
ISSN:1996-1073
1996-1073
DOI:10.3390/en14144110