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)
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.
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Keywords:
surface-mounted PM machines; torque pulsation; magnet shape optimization; analytical expression
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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. https://doi.org/10.3390/mca23040057
AMA Style
Jabbari A. An Analytical Expression for Magnet Shape Optimization in Surface-Mounted Permanent Magnet Machines. Mathematical and Computational Applications. 2018; 23(4):57. https://doi.org/10.3390/mca23040057
Chicago/Turabian StyleJabbari, Ali. 2018. "An Analytical Expression for Magnet Shape Optimization in Surface-Mounted Permanent Magnet Machines" Math. Comput. Appl. 23, no. 4: 57. https://doi.org/10.3390/mca23040057
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