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Three Dimensional Magnetic Field End-effect Modeling for Halbach Permanent Magnet Array Based on Pseudo Periodic
Author(s): 
Pages: 162-170
Year: Issue:  12
Journal: Transactions of China Electrotechnical Society

Keyword:  Planar motorHalbach permanent magnet arrayend-effectmechanical pseudo-periodicmagnetic field modeling;
Abstract: As to ironless long-stroke planar motor with moving permanent magnet, the distortion of the magnetic field at the end of Halbach permanent magnet array will cause the end-effect, and the positioning and moving precision will be influenced by the thrust ripple caused by end-effect. Therefore, establishing an accurate three dimensional analytical model containing the magnetic field at the end of Halbach permanent magnet array is an important foundation for force modeling, avoiding the thrust ripple, improving the utilization rate of the end magnetic field, and reducing the energyconsuming of each coil. Take ironless synchronous planar motor with moving permanent magnet for study, the magnetic field properties at the sine-like and end-distorted area are analyzed. The mechanical pseudo cycle is defined by the distance between zero magnetic field characteristic boundaries, and then a completed three dimensional analytical magnetic field model of Halbach permanent magnet array is derived by the new Fourier series and spatial integral technology. Finally, the accuracy and effectiveness of the magnetic field modeling method proposed in this paper are verified by comparing with the finite element and the existing analytical calculation approach.
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