TY - JOUR
T1 - Analysis of the Planar Magnetic Field of Linear Permanent Magnet Halbach Array
AU - Zhang, Xiao
AU - Li, Yun Gang
AU - Cheng, Hu
AU - Liu, Heng Kun
JF - Applied Mechanics and Materials
VL - 66-68
SP - 1336
EP - 1341
SN - 1662-7482
PY - 2011
PB - Trans Tech Publications
DO - 10.4028/www.scientific.net/AMM.66-68.1336
UR - http://www.scientific.net/AMM.66-68.1336
KW - Current Surface
KW - Denavit-Hartenberg Transform
KW - Linear Permanent Halbach
KW - Planar Magnetic Field
AB - In this paper, the analytical solution to the planar magnetic field of a linear permanent magnet Halbach array is researched on. First, the magnetic field of a current surface is derived from the magnetic field produced by the molecular current of the permanent magnet. The magnetic fields of pieces of permanent magnet with vertical and diagonal magnetization direction are both solved by combining the magnetic field of current surfaces with different directions. Then the planar magnetic field of the entire linear permanent magnet Halbach array is obtained by calculating the vector addition of the magnetic field of all the permanent magnet cubes using Denavit-Hartenberg (D-H) transform technique, which yields the closed-form analytical expressions. The analytical algorithm proposed in this paper can be utilized to design and optimize the Halbach array, which in result can greatly simplify the calculation and expedite the progress. The effectiveness of the proposed method is evaluated by the finite element analysis software Maxwell.
ER -