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Exact Two-Dimensional Analytical Calculations for Magnetic Field, Electromagnetic Torque, UMF, Back-EMF, and Inductance of Outer Rotor Surface Inset Permanent Magnet Machines

Department of Electrical and Electronics Engineering, Shiraz University of Technology, Shiraz 13876-71557, Iran
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Math. Comput. Appl. 2019, 24(1), 24; https://doi.org/10.3390/mca24010024
Received: 7 January 2019 / Revised: 8 February 2019 / Accepted: 13 February 2019 / Published: 17 February 2019
(This article belongs to the Special Issue Mathematical Models for the Design of Electrical Machines)
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Abstract

This paper presents a two-dimensional analytical model of outer rotor permanent magnet machines equipped with surface inset permanent magnets. To obtain the analytical model, the whole model is divided into the sub-domains, according to the magnetic properties and geometries. Maxwell equations in each sub-domain are expressed and analytically solved. By using the boundary/interface conditions between adjacent sub-regions, integral coefficients in the general solutions are obtained. At the end, the analytically calculated results of the air-gap magnetic flux density, electromagnetic torque, unbalanced magnetic force (UMF), back-electromotive force (EMF) and inductances are verified by comparing them with those obtained from finite element method (FEM). One of the merits of this method in comparison with the numerical model is the capability of rapid calculation with the highest precision, which made it suitable for optimization problems. View Full-Text
Keywords: analytical model; partial differential equations; separation of variable technique; electrical machines; surface inset permanent magnet analytical model; partial differential equations; separation of variable technique; electrical machines; surface inset permanent magnet
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Vahaj, A.; Rahideh, A.; Moayed-Jahromi, H.; Ghaffari, A. Exact Two-Dimensional Analytical Calculations for Magnetic Field, Electromagnetic Torque, UMF, Back-EMF, and Inductance of Outer Rotor Surface Inset Permanent Magnet Machines. Math. Comput. Appl. 2019, 24, 24.

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