Field analysis of a sinusoidal-edged Halbach magnet array using the differential quadrature finite element method
Field analysis of a sinusoidal-edged Halbach magnet array using the differential quadrature finite element method
复制标题
使用微分求积有限元法对正弦边缘 Halbach 磁体阵列进行场分析
DOI：
10.3233/jae-150069
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发表时间：
2016-01-01
影响因子：
0.6
通讯作者：
Ding, Han
中科院分区：
文献类型：
--
作者：
Chen, Junwei;Zhang, Bo;Ding, Han
基于微分求积有限元法（DQFEM），分析了直线永磁驱动器中一种新型正弦边Halbach磁体阵列的磁场分布。通过将所提出的广义混合函数从不规则计算域映射到矩形计算域，求解了单块正弦边永磁体产生的磁场。然后通过叠加得到磁体阵列产生的磁场。数值结果表明，用DQFEM方法得到的磁场不仅在阵列的中间部分是准确的，而且在阵列的边界附近也是有效的。此外，与矩形和梯形相比，正弦边缘Halbach磁体阵列产生更大的磁通密度，具有小的谐波失真。最后，进行了优化设计，得到了在磁通密度幅值和谐波失真之间折衷的最优解。
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 DQFEMis 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.