Using Third Harmonic for Shape Optimization of Flux Density Distribution in Slotless Linear Permanent-Magnet Machine

Author(s):  
Kai Wang ◽  
Zi-Qiang Zhu
2013 ◽  
Vol 416-417 ◽  
pp. 359-365 ◽  
Author(s):  
K. Wang ◽  
Z.Q. Zhu ◽  
Robert Nilssen

This paper presents a sinusoidal permanent magnet (PM) shaping technique with third harmonic to improve the electromagnetic thrust force in linear slotless PM machines without sacrificing the thrust force ripple. Slotless PM linear machine possesses relatively low thrust force ripple due to the absence of cogging force, compared with slotted topology. However, thrust force ripple of the machine with rectangular PM shape still exists due to nonsinusoidal airgap flux density distribution produced by PMs. Sinusoidal shaping techniques can be used to reduce the thrust force ripple but the average thrust force is reduced as well. Therefore, a simple PM shaping technique with optimal 3rd harmonic is presented to improve the output thrust force but not to increase the thrust force ripple. The sinusoidal plus 3rd harmonic shaping technique is analytically demonstrated together conventional sinusoidal shaping method and verified with finite element method. The results show that the electromagnetic performance can be significantly improved.


2011 ◽  
Vol 383-390 ◽  
pp. 1084-1089
Author(s):  
Rui Huang ◽  
Shi Hong Wu ◽  
Hai Sui ◽  
Feng Li Jiang ◽  
Bo Hu

A synchronous permanent magnet planar motor (SPMPM) with Halbach array is proposed. The flux density distribution of Halbach array is obtained by analytical method; then, the characteristics of SPMPM with Halbach magnet array are evaluated. At last, the experiment results are used to verify the analysis propriety of this SPMPM. By comparison, it can be concluded that the analysis of SPMPM with Halbach magnet array is credible and feasible.


Author(s):  
Liyan Guo ◽  
Huimin Wang ◽  
Xin Gu ◽  
Tingna Shi ◽  
Changliang Xia

Permanent magnet machine adopting Halbach array has more sinusoidal air-gap flux density distribution and higher air-gap flux density magnitude. Compared with the equal segmented Halbach array, the fundamental magnitude of air gap flux density can be higher and distortion rate can be lower by reasonably designing each segment width in unequal segmented Halbach array. Thus, in this paper, the permanent magnet machine adopting unequal segmented Halbach array is researched. Firstly, an analytical model is established for PM machine adopting Halbach array to improve the calculation efficiency. This analytical model can be applied to the Halbach array having arbitrary pole pair number, arbitrary number of segments per pole, arbitrary segment width and arbitrary gap width between segments. Further, the calculation results for air gap flux density between analytical model and finite element method are compared to verify the analytical model. In addition, the method to determine each segment width in the unequal segmented Halbach array is proposed firstly in this paper. On this basis, effects of the gap width between segments and each segment width under one pole on air gap flux density are researched. The research conclusions will provide guidance for the design and fabrication of unequal segmented Halbach array.


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