Calculating Electromagnetic Force Created by Static Suspension Device Used in Permanent Magnet Electrodynamic Suspension Vehicle
Keywords:
Analytical calculation, cylindrical PM Halbach array, EDS, electromagnetic force, static levitationAbstract
In response to the shortcomings of existing devices, a novel electrodynamic suspension (EDS) device—based on a semicircular track and cylindrical permanent magnet (PM) Halbach array—is presented in this paper. It enables a vehicle to statically levitate above a semicircular track. In order to calculate the electromagnetic force created by this novel device, we first create a 2-D equivalent linear model of the cylindrical PM Halbach array, build differential equations (based on the linear model) for the magnetic vector potentials, and produce the expression of the electromagnetic force per unit length by solving the equation system. Next, by integrating the electro-magnetic force per unit length with the arc direction of the inner semicircular track, the vertical electro-magnetic force created by the novel device can be determined. Analytic expression results, and those of a finite element analysis (FEA) model built by Maxwell are compared, and show the average relative error to be 3.02%. The novel device is rational, and the analytic expression is accurate.
Downloads
References
J. Fang, A. Radovinsky, and D. B. Montgomery, “Dynamic modeling and control of the magplane vehicle,” Proceedings of The 18th International Conference on Magnetically Levitated Systems and Linear Drives, Maglev’2004, China, Oct. 2004.
D. B. Montgomery, “Overview of the 2004 magplane design,” Proceedings of The 18th International Conference on Magnetically Levitated Systems and Linear Drives, Maglev’2004, China, Oct. 2004.
H. Hieronymus, J. Miericke, F. Pawlitschek, and M. Rudel, “Experimental study of magnetic forces on normal and null flux coil arrangements in the inductive levitation system,” Applied Physics, vol. 3, no. 9, pp. 359-366, 1974.
H. Cho, H. Han, J. Bang, H. Sung, and B. Kim, “Characteristic analysis of electrodynamic suspension device with permanent magnet Halbach array,” J. Appl. Phys., vol. 105, 2009.
H. Cho, D. K. Bae, H. Sung, and J. Lee, “Experimental study on the electrodynamic suspension system with HTSC and PM Halbach array magnets,” IEEE Trans. Appl. Superconduct., vol. 18, no. 2, pp. 808-811, 2008.
R. F. Post and D. D. Dyutov, “The Inductrack: A simpler approach to magnetic levitation,” IEEE Trans. Appl. Superconduct., vol. 10, no. 1, pp. 901- 904, 2000.
R. Kratz and R. F. Post, “A-current electrodynamic levitation system,” IEEE Trans. Appl. Superconduct., vol. 12, no. 1, pp. 930-932, 2002.
Y. Chen and K. Zhang, “Electromagnetic force calculation of conductor plate double Halbach permanent magnet electrodynamic suspension,” ACES Journal, vol. 29, no. 11, pp. 916-922, 2014.
A. Musolino, M. Raugi, R. Rizzo, and E. Tripodi, “Stabilization of a permanent-magnet Maglev system via null-flux coils,” IEEE Trans. on Plasma Sci., vol. 43, no. 5, pp. 1242-1247, 2015.
J. Z. Bird and T. A. Lipo, “Modeling the 3-D rotational and translational motion of a Halbach rotor above a split-sheet guideway,” IEEE Trans. Magn., vol. 45, no. 9, pp. 3233-3242, 2009.
J. Z. Bird and T. A. Lipo, “Calculating the forces created by an electrodynamic wheel using a 2-D steady-state finite-element method,” IEEE Trans. Magn., vol. 44, no. 3, pp. 365-372, 2008.
P. Zheng, B. Yu, H. Yan, Y. Sui, J. Bai, and P. Wang, “Electromagnetic analysis of a novel cylindrical transverse-flux permanent-magnet linear machine,” ACES Journal, vol. 28, no. 9, pp. 878- 890, 2013.
H. Rezaei and S. V. Zadeh, “Modelling and analysis of permanent electrodynamic suspension systems,” Prog. Electromagn. Res. M, vol. 36, pp. 77-84, 2014.
A. N. Khodabakhsh, S. V. Zadeh, and A. H. Isfahani, “Finite element analysis and experimental implementation of the cylindrical permanent magnet electrodynamic suspension system,” Electromagnetics, vol. 29, no. 7, pp. 563-574, 2009.
Y. Chen, W. Zhang, J. Z. Bird, S. Paul, and K. Zhang, “A 3-D analytic-based model of a null-flux Halbach array electrodynamic suspension device,” IEEE Trans. Magn., vol. 51, no. 11, article# 8300405, 2015.
N. Paudel and J. Z. Bird, “General 2-D steady-state force and power equations for a traveling timevarying magnetic source above a conductive plate,” IEEE Trans. Magn., vol. 48, no. 1, pp. 95-100, 2011.
J. F. Hoburg, “Modeling maglev passenger compartment static magnetic field from linear halbach permanent magnet arrays,” IEEE Trans. Magn., vol. 40, no. 1, pp. 59-64, 2004.
Y. Chen, “Characteristic Analysis of Low Speed Electrodynamic Suspension,” Ph.D. Dissertation, Department of Electrical Engineering, Southwest Jiaotong University, Chengdu, China, 2015.
