Analytical Modeling of Magnetic Field Distribution at No Load for Surface Mounted Permanent Magnet Machines
This paper presents an analytical study of the air-gap magnetic field of a Surface Permanent Magnet (SPM) linear machine under no load. By means of the method of images, the complex expression of the magnetic field of a conductor, inside the air gap between two smooth iron surfaces, is retrieved. Th...
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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/1996-1073/16/7/3197 |
| _version_ | 1797607994160054272 |
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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 | This paper presents an analytical study of the air-gap magnetic field of a Surface Permanent Magnet (SPM) linear machine under no load. By means of the method of images, the complex expression of the magnetic field of a conductor, inside the air gap between two smooth iron surfaces, is retrieved. Then, integrating the conductor expression, the formulation of the magnetic field of a current sheet and thus the one of a SPM, using two vertical current sheets, is obtained. At last, the no-load magnetic field expression, for a generic time instant, of a slotless machine is retrieved. The novelty of the proposed approach is the availability, due to a different calculation approach, of a unique closed-form formulation for the slotless machine air-gap field, a quantity that, in literature, is usually present in Fourier series formulation. Additionally, as a means to calculate integral quantities and show the goodness of the method a complex slotting function is introduced to account for the slotted geometry. Finally, starting from Lorenz’s force formulation, the expression of the Maxwell tensor in complex form is retrieved and the contribution of forces, integral of the complex stress tensor quantity, will be calculated and compared with FEM simulations, showing a good agreement also with the analytical slotted model. |
| first_indexed | 2024-03-11T05:37:24Z |
| format | Article |
| id | doaj.art-04fed3507e88435bb8264303716b96cd |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-11T05:37:24Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-04fed3507e88435bb8264303716b96cd2023-11-17T16:38:44ZengMDPI AGEnergies1996-10732023-04-01167319710.3390/en16073197Analytical Modeling of Magnetic Field Distribution at No Load for Surface Mounted Permanent Magnet MachinesAntonino Di Gerlando0Claudio Ricca1Department of Energy, Politecnico di Milano, via La Masa 34, 20156 Milan, ItalyDepartment of Energy, Politecnico di Milano, via La Masa 34, 20156 Milan, ItalyThis paper presents an analytical study of the air-gap magnetic field of a Surface Permanent Magnet (SPM) linear machine under no load. By means of the method of images, the complex expression of the magnetic field of a conductor, inside the air gap between two smooth iron surfaces, is retrieved. Then, integrating the conductor expression, the formulation of the magnetic field of a current sheet and thus the one of a SPM, using two vertical current sheets, is obtained. At last, the no-load magnetic field expression, for a generic time instant, of a slotless machine is retrieved. The novelty of the proposed approach is the availability, due to a different calculation approach, of a unique closed-form formulation for the slotless machine air-gap field, a quantity that, in literature, is usually present in Fourier series formulation. Additionally, as a means to calculate integral quantities and show the goodness of the method a complex slotting function is introduced to account for the slotted geometry. Finally, starting from Lorenz’s force formulation, the expression of the Maxwell tensor in complex form is retrieved and the contribution of forces, integral of the complex stress tensor quantity, will be calculated and compared with FEM simulations, showing a good agreement also with the analytical slotted model.https://www.mdpi.com/1996-1073/16/7/3197cogging torqueelectromagnetic forcesmagnetic fieldsMaxwell tensormagnetic flux densitypermanent magnet machines |
| spellingShingle | Antonino Di Gerlando Claudio Ricca Analytical Modeling of Magnetic Field Distribution at No Load for Surface Mounted Permanent Magnet Machines Energies cogging torque electromagnetic forces magnetic fields Maxwell tensor magnetic flux density permanent magnet machines |
| title | Analytical Modeling of Magnetic Field Distribution at No Load for Surface Mounted Permanent Magnet Machines |
| title_full | Analytical Modeling of Magnetic Field Distribution at No Load for Surface Mounted Permanent Magnet Machines |
| title_fullStr | Analytical Modeling of Magnetic Field Distribution at No Load for Surface Mounted Permanent Magnet Machines |
| title_full_unstemmed | Analytical Modeling of Magnetic Field Distribution at No Load for Surface Mounted Permanent Magnet Machines |
| title_short | Analytical Modeling of Magnetic Field Distribution at No Load for Surface Mounted Permanent Magnet Machines |
| title_sort | analytical modeling of magnetic field distribution at no load for surface mounted permanent magnet machines |
| topic | cogging torque electromagnetic forces magnetic fields Maxwell tensor magnetic flux density permanent magnet machines |
| url | https://www.mdpi.com/1996-1073/16/7/3197 |
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