Determination of Changes in Flux Density of Transformer Steel Sheets

Witold Mazgaj (), Michal Sierzega and Marcin Tomczyk
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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
Marcin Tomczyk: Department of Computer Science and Automatics, University of Bielsko-Biała, 43-309 Bielsko-Biała, Poland

Energies, 2023, vol. 17, issue 1, 1-17

Abstract: Magnetic fields in transformer cores are typically assumed to be one-dimensional fields, thus allowing magnetization processes to be regarded as axial magnetization. However, in the core corners or T-joint points of medium- and high-power rating transformers, the magnetic lines have different directions with respect to the rolling direction. This paper describes a method that allows changes in the flux density of transformer steel sheets to be calculated for any magnetization direction. These changes are assumed to depend only on certain limiting hysteresis loops assigned separately to the rolling and transverse directions of a tested transformer sheet, where these loops depend on the magnetization direction on the sheet plane. The selection of coefficients that define the limiting hysteresis loops for several magnetization directions is described, and the condition for the flux density saturation is considered. The resultant flux density in a specified magnetization direction is the geometric sum of the corresponding flux densities assigned to both the rolling and transverse directions. The limiting and partial hysteresis loops determined based on the proposed method for several magnetization directions are compared with analogous measured loops. Additionally, a comparison of the calculated hysteresis loops with loops showing changes in the resultant flux density for several magnetization direction is presented.

Keywords: flux density; Goss texture; magnetic hysteresis; magnetization process; transformer steel sheet (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: 2023
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