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.
Highlights
Linear and planar motors can directly convert electric energy into linear motion mechanical energy without any transmission device of intermediate conversion mechanism [1,2]
The 1D Halbach magnet array with rectangular magnets is used and the magnetic field is represented by Fourier series expansion and the complex theory
A new 1D Halbach magnet array with a curved surface of the permanent magnet is proposed in this paper
Summary
Linear and planar motors can directly convert electric energy into linear motion mechanical energy without any transmission device of intermediate conversion mechanism [1,2] They have the advantages of compact structure, high transmission stiffness, fast dynamic response, and high positioning accuracy due to the absence of mechanical conversion parts, and are extensively used in various fields, such as logistics delivery systems, computer numerical control (CNC) machine systems, lithography, and magnetically levitated train systems. Irfan-Ur-Rab Usman et al [13] developed a 6 degree of freedom (DOF) planar levitating synchronous motor. It consists of four linear motors with 1D magnet
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