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Energies 2017, 10(4), 493; doi:10.3390/en10040493

Analytical Calculation of the Magnetic Field Distribution in a Linear and Rotary Machine with an Orthogonally Arrayed Permanent Magnet

Engineering Research Center for Motion Control of Ministry of Education, Southeast University, Nanjing 210096, China
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Author to whom correspondence should be addressed.
Academic Editor: K.T. Chau
Received: 8 January 2017 / Revised: 19 March 2017 / Accepted: 21 March 2017 / Published: 6 April 2017

Abstract

In this paper, an analytical model is proposed to analyze and predict the characteristics of a double stator linear and rotary permanent magnet machine (DSLRPMM). In order to simplify the magnetic field calculation, the DSLRPMM is cut along the axial direction (z direction) and transferred into a planar one. Hence, an analytical model of the machine considered the orthogonal effect (OE) is proposed based on the combined solution of Maxwell’s equation, conformal mapping, and equivalent magnetic circuit model (EMCM). The magnetic field distributions of the DSLRPMM are calculated with and without considering the OE, and some important electromagnetic parameters, including the back electromotive force (EMF), detent force, cogging torque, and output torque and thrust, are also predicted and compared to the 3D finite element analysis (FEA). The results show that the errors between the proposed analytical model and the 3D FEA results are less than 0.2% and even less than 0.1% for certain parameters, that is, the results obtained from the proposed analytical model agree well with that of the FEA. Moreover, the analyzed and predicted results are also verified by the experimental results on the prototype of the DSLRPMM. View Full-Text
Keywords: 3D finite element analysis (FEA); analytical model; conformal mapping; equivalent magnetic circuit; linear and rotary machine (LRM); orthogonal magnetic field; permanent magnetic 3D finite element analysis (FEA); analytical model; conformal mapping; equivalent magnetic circuit; linear and rotary machine (LRM); orthogonal magnetic field; permanent magnetic
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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).

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MDPI and ACS Style

Xu, L.; Lin, M.; Fu, X.; Liu, K.; Guo, B. Analytical Calculation of the Magnetic Field Distribution in a Linear and Rotary Machine with an Orthogonally Arrayed Permanent Magnet. Energies 2017, 10, 493.

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