Design of a New 1D Halbach Magnet Array with Good Sinusoidal Magnetic Field by Analyzing the Curved Surface

Abstract

In the linear and planar motors, the 1D Halbach magnet array is extensively used. The sinusoidal property of the magnetic field deteriorates by analyzing the magnetic field at a small air gap. Therefore, a new 1D Halbach magnet array is proposed, in which the permanent magnet with a curved surface is applied. Based on the superposition of principle and Fourier series, the magnetic flux density distribution is derived. The optimized curved surface is obtained and fitted by a polynomial. The sinusoidal magnetic field is verified by comparing it with the magnetic flux density of the finite element model. Through the analysis of different dimensions of the permanent magnet array, the optimization result has good applicability. The force ripple can be significantly reduced by the new magnet array. The effect on the mass and air gap is investigated compared with a conventional magnet array with rectangular permanent magnets. In conclusion, the new magnet array design has the scalability to be extended to various sizes of motor and is especially suitable for small air gap applications.

Magnetically driven in-plane modulation of the 3D orientation of vertical ferromagnetic flakes

“…One alternative approach potentially reducing processing complexity could be to take advantage of the naturally-occurring modulations of the magnetic field distribution around permanent magnets of diverse shapes or arranged into arrays. 41,42 It has been shown previously that magnetically responsive microplatelets could remain vertically orientated under a rotating magnet, while presenting curved orientations in the horizontal plane in regions located at the edge of the magnet. 43 This feature has been used to tune the curvature of morphing composite bilayers with a leaf-shape geometry.…”

A do-it-yourself approach for developing a magnetic field mapping setup using a 3D printer

“…The bottom part of figure 8(b) represents a domain structure of a single segment of a standard refrigerator magnet [22]. The magnetic induction vector gradually changes its local orientation along the x-axis [24,26]. The measured B z component was fitted with a sinusoidal function, which describes the behavior of the rotating vector of the magnetic induction well.…”

End effects of Halbach field magnet‐type linear motor

“…In addition, a number of techniques were proposed to control thrust ripple in moving-magnet motors. [8][9][10][11][12][13][14][15] In a contactless planar linear motor design presented in Literature 8, a mover with a field system composed of Halbach array that generates a strong magnetic field is combined with a mover's armature composed of air-core coils. Thus, thrust acting on the mover is produced simultaneously with levitation force that supports the whole mover's weight, while vertical displacement and thrust ripple are reduced by optimizing coil shape and size as well as magnet size.…”

“…In addition, a number of techniques were proposed to control thrust ripple in moving‐magnet motors 8–15 . In a contactless planar linear motor design presented in Literature 8, a mover with a field system composed of Halbach array that generates a strong magnetic field is combined with a mover's armature composed of air‐core coils.…”