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.

Highlights

  • The existence of different types of PM brushless machines (PMBLM) made them applicable for a wide range of applications

  • PMBLM can be categorized in terms of various criteria such as the topology of PMs, the relative position of the rotor and stator, the slotted or slotless stator structure, etc

  • Outer rotor machines usually are used for applications which need constant speed

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Summary

Introduction

The existence of different types of PM brushless machines (PMBLM) made them applicable for a wide range of applications. In this paper because of the aforementioned advantages of the outer rotor machines and surface inset PMs, an exact two-dimensional electromagnetic model for this type of machines is extracted. The aim of this paper is to extract a 2-D analytical model of PM brushless outer rotor machines equipped with surface inset PMs. The model is used to analytically compute the electromagnetic torque, torque ripple, back-electromotive force (EMF), inductances and unbalanced magnetic forces (UMF).

Assumptions
Boundary Conditions
Extracting the Fourier Series of the Armature Reaction
Obtaining Integral Coefficients
Overlapping Winding
Inductances
Back-EMF
Instantaneous Electromagnetic Torque
Unbalanced Magnetic Force
Results
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