An Analytical Subdomain Model of Torque Dense Halbach Array Motors

Moadh Mallek, Yingjie Tang, Jaecheol Lee, Taoufik Wassar, Matthew A. Franchek and Jay Pickett
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Moadh Mallek: Department of Mechanical Engineering, University of Houston, Houston, TX 77004, USA
Yingjie Tang: Department of Mechanical Engineering, University of Houston, Houston, TX 77004, USA
Jaecheol Lee: Department of Mechanical Engineering, University of Houston, Houston, TX 77004, USA
Taoufik Wassar: Department of Mechanical Engineering, University of Houston, Houston, TX 77004, USA
Matthew A. Franchek: Department of Mechanical Engineering, University of Houston, Houston, TX 77004, USA
Jay Pickett: Technology Development, NOV Corporate Engineering, Houston, TX 77036, USA

Energies, 2018, vol. 11, issue 12, 1-24

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.

Keywords: mathematical model; Halbach Array; surface permanent magnet; magnetic vector potential; torque (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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