Electromagnetic Force Calculation of Conductor Plate Double Halbach Permanent Magnet Electrodynamic Suspension
Keywords:
Analytic calculation, conductor plate, double Halbach array, electromagnetic field, Halbach permanent magnet electrodynamic suspensionAbstract
In order to solve the problem of high drag force in traditional Permanent Magnet Electrodynamic Suspension (PM-EDS) and increase the levitation-drag force ratio, this paper proposes a new suspension system composed of conductor plates and a double Halbach permanent magnet array, and calculates its electromagnetic force. The eddy current distribution equation for the conductor plate and the analytic calculation formula for the electromagnetic force of the device are derived by solving the differential equations for the magnetic vector potential in space. Verifying the analytic method using the finite element method, the maximum and mean relative errors of the results were calculated to be 4% and 1.7%, respectively. This paper also compares the levitation-drag force ratio of the new suspension system with that of the traditional system and concludes that the new system can substantially reduce the drag force and power loss.
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References
R. Kratz and R. F. Post, “A null current electrodynamic levitation system,” IEEE Transactions on Applied Superconductivity, vol. 12, no. 1, pp. 930-932, 2002.
Y. Wu, L. Yan, and S. Xu, “Inductrack technology and its application in maglev transport,” Electric Application, vol. 25, no. 1, pp. 1-3, 2006.
S. M. Jang, S. H. Lee, and S. S. Jeong, “Characteristics analysis of eddy-current brake system using the linear halbach array,” IEEE Transactions on Magnetics, vol. 38, no. 8, pp. 2994-2996, 2002.
S. M. Jang, S. S. Jeong, and S. D. Cha, “The application of linear halbach array to eddy current rail brake system,” IEEE Transactions on Magnetics, vol. 37, no. 7, pp. 2627-2629, 2001.
Z. Tan and Y. Li, “Development of flywheel energy storage system control platform based on dual-DSP,” Power System Protection and Control, vol. 40, no. 11, pp. 127-139, 2012.
P. Tang, Y. Qi, G. Huang, and T. Li, “Eddy current loss analysis of iron-less flywheel electric machine’s winding,” Transactions of China Electrotechnical Society, vol. 25, no. 3, pp. 27-32, 2010.
Y. Huang, B. Fang, and J. Sun, “Simulation research on the microgrid with flywheel energy storage system,” Power System Protection and Control, vol. 39, no. 9, pp. 83-113, 2011.
C. Li, Y. Du, P. Xia, and L. Yan, “Analysis and experimental testing of EDS maglev with linear halbach and conducting sheet,” Transactions of China Electrotechnical Society, vol. 24, no. 1, pp. 18-22, 2009.
J. Wang, Y. Li, and L. Yan, “Study on applying the linear halbach array to eddy current brake system for maglev,” Electric Drive, vol. 40, no. 5, pp. 8- 11, 2010.
H. W. Cho, H. S. Han, J. S. Bang, H. K. Sung, and B. H. Kim. “Characteristic analysis of electro dynamic suspension device with permanent magnet halbach array,” Journal of Applied Physics, vol. 105, no. 7, pp. 3141-3143, 2009.
R. F. Post and D. D. Ryutov, “The inductrack: a simpler approach to magnetic levitation,” IEEE Transctions on Applied Superconductivity, vol. 10, no. 1, pp. 901-904, 2000.
M. Toshiaki and H. Hitoshi, “Electromagnetic analysis of inductrack magnetic levitation,” Electrical Engineering in Japan, vol. 142, no. 1, pp. 67-74, 2003.
X. Huang, Q. Zhang, and G. Zhou, “Halbach permanent magnet iron-less linear motors,” Transactions of China Electrotechnical Society, vol. 25, no. 6, pp. 1-6, 2010.
P. Meng, X. Qiu, and W. Lin, “Study of the dynamic characteristics of directly driven permanent magnet synchronous wind turbine,” Power System Protection and Control, vol. 40, no. 14, pp. 38-43, 2012.
J. Fan, J. Wu, C. Li, et al., “Solution of permanent magnet synchronous motors with partition between poles halbach magnet,” Transactions of China Electrotechnical Society, vol. 28, no. 3, pp. 36-42, 2013.
Y. Zhang, D. Qiao, and J. Gao, “Current research on and applications of halbach permanent magnet array,” Analytical Instrumentation, vol. 1, no. 2, pp. 5-10, 2010.
J. F. Hoburg, “Modeling maglev passenger compartment static magnetic field from linear halbach permanent magnet arrays,” IEEE Transactions on Magnetics, vol. 40, no. 1, pp. 59- 64, 2004.
Y. Chena and K. Zhang, “Calculation and analysis of the forces created by halbach permanent magnet electrodynamic suspension,” Applied Mechanics and Materials, vol. 229, pp. 440-443, 2012.
Y. Lei, “Analytic calculation of harmonic electromagnetic field,” Beijing, China, 2000. [20]C. Feng and X. Ma, “Introduction of engineering electromagnetic field,” Beijing, China, 2000.
