Next Article in Journal
An Efficient Golden Ratio Method for Secure Cryptographic Applications
Next Article in Special Issue
Two-Dimensional Exact Subdomain Technique of Switched Reluctance Machines with Sinusoidal Current Excitation
Previous Article in Journal
Green’s Function of the Linearized Logarithmic Keller–Segel–Fisher/KPP System
Article Menu
Issue 4 (December) cover image

Export Article

Open AccessArticle

An Analytical Expression for Magnet Shape Optimization in Surface-Mounted Permanent Magnet Machines

Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak 38156-8-8849, Iran
Math. Comput. Appl. 2018, 23(4), 57; https://doi.org/10.3390/mca23040057
Received: 16 July 2018 / Revised: 2 October 2018 / Accepted: 2 October 2018 / Published: 5 October 2018
(This article belongs to the Special Issue Mathematical Models for the Design of Electrical Machines)
  |  
PDF [3811 KB, uploaded 8 October 2018]
  |  

Abstract

Surface-mounted permanent magnet machines are widely used in low and medium speed applications. Pulsating torque components is the most crucial challenge, especially in low-speed applications. Magnet pole shape optimization can be used to mitigate these components. In this research, an analytical model is proposed to calculate the magnetic vector potential in surface-mounted permanent magnet machines. A mathematical expression is also derived for optimal the magnet shape to reduce the cogging torque and electromagnetic torque components. The presented model is based on the resolution of the Laplace’s and Poisson’s equations in polar coordinates by using the subdomain method and applying hyperbolic functions. The proposed method is applied to the performance computation of a surface-mounted permanent magnet machine, i.e., a 3-phase 12S-10P motor. The analytical results are validated through the finite element analysis (FEA) method. View Full-Text
Keywords: surface-mounted PM machines; torque pulsation; magnet shape optimization; analytical expression surface-mounted PM machines; torque pulsation; magnet shape optimization; analytical expression
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Jabbari, A. An Analytical Expression for Magnet Shape Optimization in Surface-Mounted Permanent Magnet Machines. Math. Comput. Appl. 2018, 23, 57.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top