Analytical Modeling of Magnetic Air-Gap Field Distribution Due to Armature Reaction
The following paper presents an analytical study of the air-gap magnetic field distribution produced by the armature reaction of a linear machine. Based on the method of images, the magnetic field generated by a current carrying conductor inside the air-gap between two smooth infinitely permeable ir...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-04-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/16/8/3301 |
| _version_ | 1797605662898782208 |
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| author | Antonino Di Gerlando Claudio Ricca |
| author_facet | Antonino Di Gerlando Claudio Ricca |
| author_sort | Antonino Di Gerlando |
| collection | DOAJ |
| description | The following paper presents an analytical study of the air-gap magnetic field distribution produced by the armature reaction of a linear machine. Based on the method of images, the magnetic field generated by a current carrying conductor inside the air-gap between two smooth infinitely permeable iron surfaces is modeled as a complex 2D function. The conductor model then becomes a current sheet model and horizontally oriented current sheets are used to model the magnetic field produced by the armature reaction for smooth ferromagnetic surfaces. Focus will be given to the study of the slot opening function in front of energized slots in comparison to the not energized ones of the classical theory pointing out some remarkable differences. Later, the model is extended to slotted geometries using a complex slotting function adapted for energized slots. At last, the Maxwell tensor expressed in complex formulation will be integrated to obtain the force components acting on the machine tooth tips, quantities that will be compared with FEM simulations in order to validate the proposed analytical model. |
| first_indexed | 2024-03-11T05:04:16Z |
| format | Article |
| id | doaj.art-a5ece1fc20234262b80c716b678fc585 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-11T05:04:16Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-a5ece1fc20234262b80c716b678fc5852023-11-17T19:03:17ZengMDPI AGEnergies1996-10732023-04-01168330110.3390/en16083301Analytical Modeling of Magnetic Air-Gap Field Distribution Due to Armature ReactionAntonino Di Gerlando0Claudio Ricca1Department of Energy, Politecnico di Milano, via La Masa 34, 20156 Milano, ItalyDepartment of Energy, Politecnico di Milano, via La Masa 34, 20156 Milano, ItalyThe following paper presents an analytical study of the air-gap magnetic field distribution produced by the armature reaction of a linear machine. Based on the method of images, the magnetic field generated by a current carrying conductor inside the air-gap between two smooth infinitely permeable iron surfaces is modeled as a complex 2D function. The conductor model then becomes a current sheet model and horizontally oriented current sheets are used to model the magnetic field produced by the armature reaction for smooth ferromagnetic surfaces. Focus will be given to the study of the slot opening function in front of energized slots in comparison to the not energized ones of the classical theory pointing out some remarkable differences. Later, the model is extended to slotted geometries using a complex slotting function adapted for energized slots. At last, the Maxwell tensor expressed in complex formulation will be integrated to obtain the force components acting on the machine tooth tips, quantities that will be compared with FEM simulations in order to validate the proposed analytical model.https://www.mdpi.com/1996-1073/16/8/3301armature reactionNVHelectromagnetic forceselectrical machinesmagnetic fieldsmagnetic flux density |
| spellingShingle | Antonino Di Gerlando Claudio Ricca Analytical Modeling of Magnetic Air-Gap Field Distribution Due to Armature Reaction Energies armature reaction NVH electromagnetic forces electrical machines magnetic fields magnetic flux density |
| title | Analytical Modeling of Magnetic Air-Gap Field Distribution Due to Armature Reaction |
| title_full | Analytical Modeling of Magnetic Air-Gap Field Distribution Due to Armature Reaction |
| title_fullStr | Analytical Modeling of Magnetic Air-Gap Field Distribution Due to Armature Reaction |
| title_full_unstemmed | Analytical Modeling of Magnetic Air-Gap Field Distribution Due to Armature Reaction |
| title_short | Analytical Modeling of Magnetic Air-Gap Field Distribution Due to Armature Reaction |
| title_sort | analytical modeling of magnetic air gap field distribution due to armature reaction |
| topic | armature reaction NVH electromagnetic forces electrical machines magnetic fields magnetic flux density |
| url | https://www.mdpi.com/1996-1073/16/8/3301 |
| work_keys_str_mv | AT antoninodigerlando analyticalmodelingofmagneticairgapfielddistributionduetoarmaturereaction AT claudioricca analyticalmodelingofmagneticairgapfielddistributionduetoarmaturereaction |