Affiliations: State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, China
Correspondence:
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Corresponding author: Bo Zhang, State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China. Tel.: +86 21 34206547; Fax: +86 21 34206547; E-mail:b_zhang@sjtu.edu.cn
Abstract: On the basis of the differential quadrature finite
element method (DQFEM), this paper analyzes the field distribution of a new
sinusoidal-edged Halbach magnet array in linear permanent-magnet actuators.
By applying the proposed generalized blending function mapping from the
irregular computational domain to the rectangular one, the magnetic field
produced by a single sinusoidal-edged permanent magnet is solved. Then the
magnetic field due to the magnet array is obtained by superposition.
Numerical results show that the magnetic field obtained by the DQFEM is not
only accurate in the middle part of the array, but also effective near the
boundaries of the array. In addition, the sinusoidal-edged Halbach magnet
array produces a larger flux density with a small harmonic distortion,
compared with rectangular and trapezoidal ones. Finally, design optimization
is implemented and optimal solutions are achieved to compromise between the
amplitude of flux density and the harmonic distortion.
