Abstract:There is tight electromagnetic and mechanical coupling among 6-degree of freedom (DOF) motions of Halbach magnetic levitation planar motor. For the decoupling control of the planar motor, firstly this paper presents the structure and working principle of the planar motor, analyzes the characteristics of the Halbach linear motor actuator, and proposes the electromagnetic force equations of the actuators. Then after presenting the decoupled kinetics models based on the modal forces, the current allocation methods of the modal forces and the current-controlled strategies of vertical and horizontal motions are proposed. At last the servo controllers for the vertical motions are designed and corresponding simulation are done after the feasibility analysis about the current-controlled method. The current-controlled method successfully decouples the 6-DOF motion control equations and all the motion control equations are simple 2nd order linear system, so it lays a theoretical basis for planar motor control.
[1] Kim W J. High-precision planar magnetic levitation[D]. Cambridge: Massachusetts Institute of Technology, 1997. [2] Williams. Precision six-degree-of-freedom magnetically levitated photolithography stage[D]. Cambridge: Massachusetts Institute of Technology, 1997. [3] 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. [4] Cho H S, Im C H, Jung H K. Magnetic field analysis of 2-D permanent magnet array for planar motor[J]. IEEE Transactions on Magnetics, 2001, 37(5): 3762-3766. [5] Cho H S, Jung H K. Effect of coil position and width on back-EMF constant of permanent magnet planar motors[C]. Electric Machines and Drives Conference, Cambridge, Massachussets, USA, 2001: 430-435. [6] Gao Wei, Dejima Shuichi, Yanai Hiroaki, et al. A surface motor-driven planar motion stage integrated with a XYθZ surface encoder for precision positioning[J]. Precision Engineering, 2004, 28(3): 329-337. [7] 周赣, 黄学良, 沈妍, 等. Halbach型永磁阵列的磁场分析[J]. 微特电机, 2008(7): 1-3. [8] 周赣, 黄学良, 周勤博, 等. Halbach型永磁阵列的应用综述[J]. 微特电机, 2008(8): 52-55. [9] 曹家勇, 朱煜, 汪劲松. 永磁同步平面电动机三自由度运动控制器[J]. 中国电机工程学报, 2006, 26(17): 143-147. [10] Zhou Gan, Huang Xueliang, Zhou Qinbo, et al. Research on control methods of planar motors based on the modal forces[C]. WAC 2008, WaiKoloa, HI, 2008: 1635-1639.