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.
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