Abstract

A two-dimensional mathematical model estimating the torque of a Halbach Array surface permanent magnet (SPM) motor with a non-overlapping winding layout is developed. The magnetic field domain for the two-dimensional (2-D) motor model is divided into five regions: slots, slot openings, air gap, rotor magnets and rotor back iron. Applying the separation of variable method, an expression of magnetic vector potential distribution can be represented as Fourier series. By considering the interface and boundary conditions connecting the proposed regions, the Fourier series constants are determined. The proposed model offers a computationally efficient approach to analyze SPM motor designs including those having a Halbach Array. Since the tooth-tip and slots parameters are included in the model, the electromagnetic performance of an SPM motor, described using the cogging torque, back-EMF and electromagnetic torque, can be calculated as function of the slots and tooth-tips effects. The proposed analytical predictions are compared with results obtained from finite-element analysis. Finally, a performance comparison between a conventional and Halbach Array SPM motor is performed.

Highlights

  • Permanent magnet (PM) motors have been deployed on machine electromechanical machinery for decades, owing to their reliable performance, electrical stability and durability [1]

  • Broadening the class of Halbach Array magnetic parameterization, a slotless motor model was developed having different pole-arc [25,26]. This feature is employed in the developed model by introducing the so-called magnet ratio parameter that improved the electromagnetic performance over an equal pole-arc machine

  • A Halbach Array machine shown in Figure 1 and a conventional one having both a three-phase 12-slot/10-pole embodiment are adopted to validate the analytical subdomain model developed in this manuscript

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Summary

Introduction

Permanent magnet (PM) motors have been deployed on machine electromechanical machinery for decades, owing to their reliable performance, electrical stability and durability [1]. A subdomain model incorporating the influence of slot and tooth-tips was developed to predict the armature reaction field for conventional SPM [24]. This particular model is valid for Halbach Array magnetization. Broadening the class of Halbach Array magnetic parameterization, a slotless motor model was developed having different pole-arc [25,26]. This feature is employed in the developed model by introducing the so-called magnet ratio parameter that improved the electromagnetic performance over an equal pole-arc machine (conventional SPM).

Methods and Mathematical
Vector Potential Distribution
Circumferential
Boundary Conditions
Interface Between Air and Rotor Back Iron
Interface Between Rotor Back Iron and Halbach Permanent Magnets
Interface Between Air Gap and Halbach Permanent Magnets
Interface Between Air Gap and Slot Opening
Interface Between Slot Opening and the Slot
Back EMF and Torque Calculations
Flux Linkage
Back EMF
Electromagnetic and Cogging Torques
Results and Model
Non-Overlapping
Comparison
14. Analytical
Thermal Analysis
Conclusions
Methods
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