LAPSE:2023.30935
Published Article
LAPSE:2023.30935
Analytical Modeling of Magnetic Field Distribution at No Load for Surface Mounted Permanent Magnet Machines
April 17, 2023
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.
Record ID
Keywords
cogging torque, electromagnetic forces, magnetic fields, magnetic flux density, Maxwell tensor, permanent magnet machines
Subject
Suggested Citation
Di Gerlando A, Ricca C. Analytical Modeling of Magnetic Field Distribution at No Load for Surface Mounted Permanent Magnet Machines. (2023). LAPSE:2023.30935
Author Affiliations
Journal Name
Energies
Volume
16
Issue
7
First Page
3197
Year
2023
Publication Date
2023-04-01
Published Version
ISSN
1996-1073
Version Comments
Original Submission
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PII: en16073197, Publication Type: Journal Article
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LAPSE:2023.30935
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doi:10.3390/en16073197
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Apr 17, 2023
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