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An Improved and Efficient Analytical Model for Magnetic Field Calculation in Linear Permanent Magnet Machines

Journal of Magnetics, Volume 27, Number 1, 31 Feb 2022, Pages 28-34
Baocheng Guo (School of Electrical and Automation Engineering, Nanjing Normal University), Rong Guo * (School of Electrical and Information Engineering, Beijing University of Civil Engineering and Architecture), Hengzai Hu (School of Automation, Beijing Institute of Technology), Jianping Shi (School of Electrical and Automation Engineering, Nanjing Normal University), Chunmei Feng (School of Electrical and Automation Engineering, Nanjing Normal University)
Abstract
A simple and improved analytical model (AM) for linear permanent magnet synchronous machine (LPMSM)
based on the correction factor is presented in this paper. A slotless linear permanent magnet machine (PLPM)
with AM developed in Cartesian coordinate is selected to investigate. Consequently, the fitting equations of curvature
factors for the permanent magnet and armature are obtained. The subdomains for LPMSM are simplified
from 6 down to 3 domains based on curvature equations. The magnetic flux density and force show that
the proposed approach agrees with the finite element (FE) model. Moreover, the reduced calculation domains
and harmonic orders make AM proposed in the paper much faster. The main contribution of the work is to
present a simple strategy for coordinate transformation and calculation strategy for LPMSM, which provides
guideline for designers to investigate the machines developed in Cartesian coordinate.
Keywords: coordinate transformation; curvature factor; simplified sub-domain model; magnetic field
DOI: https://doi.org/10.4283/JMAG.2022.27.1.028
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