一種Halbach永磁平面電機陣列磁場分析 

張文春，王珂 
東南大學 電氣工程學院，江蘇 南京 210096 
 

摘 要：介紹了一種應(yīng)用于高精度平面電機的新型Halbach磁陣列的基本結(jié)構(gòu)，并通過建立相應(yīng)的解析數(shù)學模型，對此種磁陣列的磁場進行了精確的解析分析，得出了相應(yīng)的解析公式。該方法能夠取代繁瑣耗時的三維有限元計算，并且具有精度高、易實現(xiàn)的特點。通過與有限元法進行比較，對比結(jié)果證明了本解析法的正確性，為高精度平面電機磁場計算提供了一定的理論基礎(chǔ)。
關(guān)鍵詞：平面電機；Halbach磁陣列；解析分析
中圖分類號：TM153+.1；TM351 文獻標識碼：A 文章編號：1007-3175(2013)08-0010-04

Magnet Field Array Analysis of a Kind of Halbach Permanent Magnet Planar Motor 

ZHANG Wen-chun, WANG Ke 
School of Electrical Engineering, Southeast University, Nanjing 210096, China 
 

Abstract: Introduction was made to the fundamental structure of a new type of Halbach permanent magnet array which was applied in high accuracy planar motor and accurate analytical analysis was made to the magnet field of this kind of permanent magnet array by setting up the relevant analytical mathematic model to get the corresponding analytical formulas. This method could replace time-consuming triaxiality finite element calculation with features of high accuracy and easy implementation. The results of comparison with the finite element method prove that this analytical method is validity, providing definite, theoretical basis for the calculation of high accuracy planar motor.
Key words: planar motor; Halbach permanent magnet array; analytical solution

　參考文獻
[1] 寇寶泉，張魯，李立毅，張赫.平面電動機技術(shù)發(fā)展綜述[J].微電機，2010，43(11)：66-72.
[2] Cho H S, Jung H K.Analysis and design of synchronous permanent-magnet planar motors[J].IEEE Transactions on Energy Conversion, 2002，17(4)：492-499.
[3] Compter J C.Electro-dynamic planar motor[J]. Precision Engineering, 2004(17)：171-180.
[4] van Lierop C M M.Magnetically levitated planar actuator with moving magnets：Dynamics,commutation and control design[D].Eindhoven：Technische Universiteit Eindhoven, 2007.
[5] Jansen J W.Magnetically levitated planar actuator with moving magnets：Electromechanical analysis and Design[D].Eindhoven：Technische Universiteit Eindhoven, 2007.
[6] Jiang H, Huang X L，Wang Z, et al.Analytical Force Calculations for High Precision Planar Actuator with Halbach Magnet Array[J].IEEE Transactions on Magnetics, 2009，45(10)：4543-4546.
[7] 曹家勇，朱煜，汪勁松，等.永磁同步平面電動機三自由度運動控制器[J].中國電機工程學報，2006，26(17)：143-147.
[8] 傅萌.基于Halbach陣列的高精度平面磁懸浮電機的設(shè)計和制造[D].南京：東南大學，2007.
[9] Zhilichev Y N.Calculation of 3D magnetic field of disk-type micromotors by integral transformation method[J].IEEE Transactions on Magnetics, 1996，32(1)： 248-253.
[10] 藍益鵬，李成軍.磁懸浮永磁直線同步電動機的有限元分析[J].沈陽工業(yè)大學學報，2010(6)：606-610.
[11] 王振，劉建國，王愛鳳.基于ANSOFT的永磁同步電機有限元分析[J].能源研究與管理，2010(3)：26-27.