Affiliations: [a] School of Mechanical Science and Engineering, Huazhong
University of Science and Technology, Wuhan, Hubei, China
Correspondence:
[*]
Corresponding author: Guangdou Liu, School of Mechanical Science
and Engineering, Huazhong University of Science and Technology, Wuhan 430074,
Hubei, China. E-mail: gdliu@hust.edu.cn
Abstract: In this paper the Halbach array with different segments per pole are
modeled and compared. The unified harmonic model for the magnetic flux density
distribution of the Halbach array with different segments per pole is derived
by using Fourier series and magnetic scalar potential. The coil power
dissipation and higher harmonics are compared with the Halbach arrays,
respectively. The dimension parameter of magnet array is optimized on the basis
of minimum coil power dissipation by taking the magnetically levitated planar
motor with moving magnets for example. The genetic algorithm is used to
minimize the higher harmonics in z-component of the magnetic flux density
distribution. Then the dimension parameters of magnet arrays are obtained,
according to that the arrays are compared on the ratio between the higher
harmonics and analytical model of z-component of the magnetic flux density
distribution and the peak value of z- and x-component of the magnetic flux
density distribution. The Halbach array with 3 segments per pole is chosen on
the basis of the above comparison.
Keywords: Halbach array, harmonic model, genetic algorithm, power dissipation, planar motor
