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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| Format: | Article |
| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/14/14/4110 |
| _version_ | 1797527258436468736 |
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| author | Witold Mazgaj Michal Sierzega Zbigniew Szular |
| author_facet | Witold Mazgaj Michal Sierzega Zbigniew Szular |
| author_sort | Witold Mazgaj |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T09:41:27Z |
| format | Article |
| id | doaj.art-bcd4e5717f114c719472412277131c35 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T09:41:27Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-bcd4e5717f114c719472412277131c352023-11-22T03:40:14ZengMDPI AGEnergies1996-10732021-07-011414411010.3390/en14144110Approximation of Hysteresis Changes in Electrical Steel SheetsWitold Mazgaj0Michal Sierzega1Zbigniew Szular2Department of Electrical Engineering, Cracow University of Technology, 31-155 Krakow, PolandDepartment of Electrical Engineering, Cracow University of Technology, 31-155 Krakow, PolandDepartment of Electrical Engineering, Cracow University of Technology, 31-155 Krakow, PolandThis 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.https://www.mdpi.com/1996-1073/14/14/4110electrical steel sheetsfield strengthflux densityhysteresis modelsmagnetic hysteresis |
| spellingShingle | Witold Mazgaj Michal Sierzega Zbigniew Szular Approximation of Hysteresis Changes in Electrical Steel Sheets Energies electrical steel sheets field strength flux density hysteresis models magnetic hysteresis |
| title | Approximation of Hysteresis Changes in Electrical Steel Sheets |
| title_full | Approximation of Hysteresis Changes in Electrical Steel Sheets |
| title_fullStr | Approximation of Hysteresis Changes in Electrical Steel Sheets |
| title_full_unstemmed | Approximation of Hysteresis Changes in Electrical Steel Sheets |
| title_short | Approximation of Hysteresis Changes in Electrical Steel Sheets |
| title_sort | approximation of hysteresis changes in electrical steel sheets |
| topic | electrical steel sheets field strength flux density hysteresis models magnetic hysteresis |
| url | https://www.mdpi.com/1996-1073/14/14/4110 |
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