The Reduction of Force Component Produced by Short Sides by Analyzing the Corner of Coil in Planar Motor with Halbach Magnet Array

Authors

  • Guangdou Liu College of Mechanical and Electronic Engineering China University of Petroleum, Qingdao 266580, China
  • Shiqin Hou College of Mechanical and Electronic Engineering China University of Petroleum, Qingdao 266580, China
  • Wensheng Xiao College of Mechanical and Electronic Engineering China University of Petroleum, Qingdao 266580, China

Keywords:

Corner segments, force reduction, Halbach array, planar motor

Abstract

The planar motor with moving-magnet is purely levitated by the stator coils. The forces produced by coils are calculated with the analytical model of magnet array and coil surface model for applying to the real time control. Take the coil and the Halbach magnet array which is at 45 degree with the long side of coil for analysis. The force component produced by short sides can be eliminated for conveniently controlling when the length of coil takes certain dimension. In practice, the force component produced by short sides is small but not zero. There are two reasons, one is the higher harmonics and the other is the corner segments of coil. The force integral expressions of coil corner segments are given by the Lorenz force law. Then the forces numerically calculated with harmonic model and coil full model are verified by comparing with the magnetic surface charge model and finite element model. In order to reduce the force component produced by short sides, the different corners of coil are analyzed. Comparing the forces of different corners of coil, the force component produced by short sides can be significantly reduced with slightly change of the other force components.

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References

D. L. Trumper, M. E. Williams, and T. H. Nguyen, “Magnet arrays for synchronous machines,” Industry Applications Society Annual Meeting, 1993, Conference Record of the 1993 IEEE, pp. 9- 18, 1993.

M. Lahdo, T. Ströhla, and S. Kovalev, “Magnetic propulsion force calculation of a 2-DoF large stroke actuator for high-precision magnetic levitation system,” Applied Computational Electromagnetics Society Journal, vol. 32, no. 8, pp. 663-669, 2017.

A. Nejadpak, M. R. Barzegaran, and O. A. Mohammed, “Evaluation of high frequency electro-magnetic behavior of planar inductor designs for resonant circuits in switching power converters,” Applied Computational Electromagnetics Society Journal, vol. 26, no. 9, pp. 737-748, 2011.

W.-J. Kim and D. L. Trumper, “High-precision magnetic levitation stage for photolithography,” Precision Engineering, vol. 22, pp. 66-77, 1998.

A. Shiri and A. Shoulaie, “Investigation of frequency effects on the performance of singlesided linear induction motor,” Applied Computational Electromagnetics Society Journal, vol. LIU, HOU, XIAO: FORCE COMPONENT OF COIL IN PLANAR MOTOR WITH HALBACH MAGNET ARRAY 113 27, no. 6, pp. 497-504, 2012.

K. Halbach, “Design of permanent multipole magnets with oriented rare earth cobalt materials,” Nuclear Instruments and Methods, vol. 169, no. 6, pp. 1-10, 1980.

J. C. Compter, “Electro-dynamic planar motor,” Precision Engineering, vol. 28, pp. 171-180, 2004.

J. W. Jansen, C. M. M. van Lierop, E. A. Lomonova, and A. J. A. Vandenput, “Modeling of magnetically levitated planar actuators with moving magnets,” IEEE Transactions on Magnetics, vol. 43, no. 1, pp. 15-25, 2007.

J. W. Jansen, C. M. M. van Lierop, E. A. Lomonova, and A. J. A. Vandenput, “Magnetically levitated planar actuator with moving magnets,” IEEE Transactions on Industry Applications, vol. 44, no. 4, pp. 1108-1115, 2008.

J. Peng, Y. Zhou, and G. Liu, “Calculation of a new real-time control model for the magnetically levitated ironless planar motor,” IEEE Transactions on Magnetics, vol. 49, no. 4, pp. 1416-1422, 2013.

Y. Zhou, G. Liu, R. Zhou, L. Huo, and W. Ming, “Modeling and comparison of the Halbach array with different segments per pole,” International Journal of Applied Electromagnetics and Mechanics, vol.47, no. 3, pp. 629-641, 2015.

G. Liu, Y. Zhou, R. Zhou, W. Ming, and L. Huo, “Analysis and optimization of a 2-D magnet array with hexagon magnet,” Applied Computational Electromagnetics Society Journal, vol. 28, no. 10, pp. 976-983, 2013.

G. Liu, Y. Wang, X. Xu, W. Ming, and X. Zhang, “The optimal design of real time control precision of planar motor,” Applied Computational Electromagnetics Society Journal, vol. 32, no. 10, pp. 948-954, 2017.

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Published

2021-01-08

How to Cite

[1]
Guangdou Liu, Shiqin Hou, and Wensheng Xiao, “The Reduction of Force Component Produced by Short Sides by Analyzing the Corner of Coil in Planar Motor with Halbach Magnet Array”, ACES Journal, vol. 36, no. 1, pp. 108–114, Jan. 2021.

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