Fast Analytic–Numerical Algorithms for Calculating Mutual and Self-Inductances of Air Coils
This paper deals with a method of calculating the mutual and self-inductances of various air coils located arbitrarily in space. Known elementary solutions (the Biot–Savart formulas) were used to determine the magnetic field of infinitely thin current loops and infinitely thin wires of finite length...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/17/2/325 |
| _version_ | 1797344126955421696 |
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| author | Ryszard Palka |
| author_facet | Ryszard Palka |
| author_sort | Ryszard Palka |
| collection | DOAJ |
| description | This paper deals with a method of calculating the mutual and self-inductances of various air coils located arbitrarily in space. Known elementary solutions (the Biot–Savart formulas) were used to determine the magnetic field of infinitely thin current loops and infinitely thin wires of finite length magnetically linking other coils. Unlike commonly used algorithms, these elementary solutions were not extensively transformed analytically but were used to perform calculations via direct numerical integration. This enabled the very quick and accurate obtaining of the self-inductance values, as well as determining the dependence of mutual inductances on the positions of both coils. This method allows for the analysis of different coil configurations (misaligned coils, inclined to each other, etc.) that other methods do not cover. It also enables the determination of the forces acting on the coils, as well as the calculation of the magnetic field distribution from any coil configuration. The obtained results were compared with those presented by other authors (both computational and measurement results). |
| first_indexed | 2024-03-08T10:57:51Z |
| format | Article |
| id | doaj.art-0ede1fcb14ce46c28e3c76ae6a05d5e9 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-08T10:57:51Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-0ede1fcb14ce46c28e3c76ae6a05d5e92024-01-26T16:16:23ZengMDPI AGEnergies1996-10732024-01-0117232510.3390/en17020325Fast Analytic–Numerical Algorithms for Calculating Mutual and Self-Inductances of Air CoilsRyszard Palka0Faculty of Electrical Engineering, West Pomeranian University of Technology, Sikorskiego 37, 70-313 Szczecin, PolandThis paper deals with a method of calculating the mutual and self-inductances of various air coils located arbitrarily in space. Known elementary solutions (the Biot–Savart formulas) were used to determine the magnetic field of infinitely thin current loops and infinitely thin wires of finite length magnetically linking other coils. Unlike commonly used algorithms, these elementary solutions were not extensively transformed analytically but were used to perform calculations via direct numerical integration. This enabled the very quick and accurate obtaining of the self-inductance values, as well as determining the dependence of mutual inductances on the positions of both coils. This method allows for the analysis of different coil configurations (misaligned coils, inclined to each other, etc.) that other methods do not cover. It also enables the determination of the forces acting on the coils, as well as the calculation of the magnetic field distribution from any coil configuration. The obtained results were compared with those presented by other authors (both computational and measurement results).https://www.mdpi.com/1996-1073/17/2/325mutual and self-inductancesair coilsBiot–Savart formulacontactless energy transfer |
| spellingShingle | Ryszard Palka Fast Analytic–Numerical Algorithms for Calculating Mutual and Self-Inductances of Air Coils Energies mutual and self-inductances air coils Biot–Savart formula contactless energy transfer |
| title | Fast Analytic–Numerical Algorithms for Calculating Mutual and Self-Inductances of Air Coils |
| title_full | Fast Analytic–Numerical Algorithms for Calculating Mutual and Self-Inductances of Air Coils |
| title_fullStr | Fast Analytic–Numerical Algorithms for Calculating Mutual and Self-Inductances of Air Coils |
| title_full_unstemmed | Fast Analytic–Numerical Algorithms for Calculating Mutual and Self-Inductances of Air Coils |
| title_short | Fast Analytic–Numerical Algorithms for Calculating Mutual and Self-Inductances of Air Coils |
| title_sort | fast analytic numerical algorithms for calculating mutual and self inductances of air coils |
| topic | mutual and self-inductances air coils Biot–Savart formula contactless energy transfer |
| url | https://www.mdpi.com/1996-1073/17/2/325 |
| work_keys_str_mv | AT ryszardpalka fastanalyticnumericalalgorithmsforcalculatingmutualandselfinductancesofaircoils |