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 a Surface Permanent Magnet (SPM) linear machine under no load. By means method images, complex expression conductor, inside air gap between two smooth iron surfaces, is retrieved. Then, integrating conductor expression, formulation current sheet and thus one SPM, using vertical sheets, obtained. At last, no-load for generic time instant, slotless The novelty proposed approach availability, due to different calculation approach, unique closed-form field, quantity that, in literature, usually present Fourier series formulation. Additionally, as calculate integral quantities show goodness slotting function introduced account slotted geometry. Finally, starting from Lorenz’s force formulation, Maxwell tensor form retrieved contribution forces, stress quantity, will be calculated compared with FEM simulations, showing good agreement also model.