volume | PIER Journals

Abstract

This paper presents a new analytical method for predicting magnetic field distribution and levitation force in three configurations of high temperature superconducting (HTSC) maglev vehicles. The permanent magnet guideways (PMG) are composed with ferromagnetic materials and NdFeB permanent magnets. The proposed analytical model is based on the resolution in each region of Laplace's and Poisson's equations by using the technique of separation of variables. For the study, we consider the HTSC as a perfect diamagnetic material. The boundary conditions and Fourier series expansion of interfaces conditions between each region are used to find the solution of magnetic field. The developed analytical method is extended to compute the magnetic field distribution generated by the three types of PMGs when removing the HTSC bulk. Magnetic field distribution and vertical force obtained analytically are compared with those issued from the finite element method (FEM).

1. Zhang, J., Y. Zeng, J. Cheng, and X. Tang, "Optimization of permanent magnet guideway for HTS maglev vehicle with numerical methods," IEEE Trans. on Applied Superconductivity, Vol. 18, No. 3, 1681-1686, September 2008.
doi:10.1109/TASC.2008.2000900 Google Scholar

2. Deng, Z., J. Zheng, J. Li, G. Ma, Y. Lu, Y. Zhang, S. Wang, and J. Wang, "Superconducting bulk magnet for maglev vehicle: Stable levitation performance above permanent magnet guideway," Materials Science and Engineering B, Vol. 151, 117-121, 2008.
doi:10.1016/j.mseb.2008.03.011 Google Scholar

3. Liu, L., J.Wang, S.Wang, L.Wang, and J. Li, "Flux concentrator optimization of PMG for high-temperature superconducting maglev vehicle system," J. Low Temperature Physics, Vol. 157, 67-72, 2009.
doi:10.1007/s10909-009-9926-7 Google Scholar

4. Del-Valle, N., "Magnet guideways for superconducting maglevs: Comparison between Halbach-type and conventional arrangements of permanent magnets," J. Low Temperature Physics, Vol. 162, 62-71, 2011.
doi:10.1007/s10909-010-0225-0 Google Scholar

5. Dias, D. H. N., G. G. Sotelo, F. Sass, E. S. Motta, R. de Andrade, Jr., and R. M. Stephan, "Dynamical tests in a linear superconducting magnetic bearing," Physics Procedia, Vol. 36, 1049-1054, 2012.
doi:10.1016/j.phpro.2012.06.104 Google Scholar

6. Stephan, R. M., R. Nicolsky, M. A. Neves, A. C. Ferreira, R. de Andrade, Jr., M. A. Cruz Moreira, M. A. Rosario, and O. J. Machado, "A superconducting levitation vehicle prototype," Physica C, Vol. 408, 932-934, 2004.
doi:10.1016/j.physc.2004.03.169 Google Scholar

7. Jin, J., L. Zheng, Y. Guo, W. Xu, and J. Zhu, "Analysis and experimental validation of an HTS linear synchronous propulsion prototype with HTS magnetic suspension," Physica C, Vol. 471, 520-527, 2011.
doi:10.1016/j.physc.2011.05.250 Google Scholar

8. Werfel, F. N., U. Floegel-Delor, R. Rothfeld, T. Riedel, D. Wippich, B. Goebel, and P. Schirrmeister, "Bulk superconductors in mobile application," Physics Procedia, Vol. 36, 948-952, 2012.
doi:10.1016/j.phpro.2012.06.235 Google Scholar

9. Werfel, F. N., U. Floegel-Delor, R. Rothfeld, T. Riedel, B. Goebel, D. Wippich, and P. Schirrmeister, "Superconductor bearings, flywheels and transportation," Superconductor Science and Technology, Vol. 25, 1-16, 2012. Google Scholar

10. Male, G., T. Lubin, S. Mezani, and J. Leveque, "Analytical calculation of the flux density distribution in a superconducting reluctance machine with HTS bulks rotor," Mathematics and Computers in Simulation, 1-14, 2013. Google Scholar

11. Motta, E. S., R. M. Stephan, J. H. Norman, H. C. Ramos, G. G. Sotelo, and D. H. N. Dias, "Optimization of superconducting magnetic rail using a feasible direction interior point algorithm," International Conference on Engineering Optimization, 1-5, June 2008. Google Scholar

12. Li, W., K. T. Chau, and J. Li, "Simulation of a tubular linear magnetic gear using HTS bulks for field modulation," IEEE Trans. on Applied Superconductivity, Vol. 21, No. 3, 1167-1170, June 2011.
doi:10.1109/TASC.2010.2080255 Google Scholar

13. Motta, E. S., D. H. N. Dias, G. G. Sotelo, H. O. C. Ramos, J. H. Norman, and R. M. Stephan, "Optimization of a linear superconducting levitation system," IEEE Trans. on Applied Superconductivity, Vol. 21, No. 5, 3548-3554, October 2011.
doi:10.1109/TASC.2011.2161986 Google Scholar

14. Barba, P. D. and R. Palka, "Optimization of the HTSC-PM interaction in magnetic bearings by a multiobjective design," Studies in Computational Intelligence, Vol. 119, 83-90, 2008.
doi:10.1007/978-3-540-78490-6_10 Google Scholar

15. Palka, R., "Modeling of high temperature superconductors and their practical applications," International Compumag Society Newsletter, Vol. 12, No. 3, 3-12, November 2005. Google Scholar

16. Lu, Y., X. Bai, Y. Ge, and J. Wang, "Influence of thickness on the levitation force of high-Tc bulk over a permanent magnetic guideway with numerical method ," J. Supercond Nov. Magn., Vol. 24, 1967-1970, 2011.
doi:10.1007/s10948-011-1154-0 Google Scholar

17. Dias, D. H. N., E. S. Motta, G. G. Sotelo, and R. Andrade, Jr., "Experimental validation of field cooling simulations for linear superconducting magnetic bearings," Superconductor Science and Technology, Vol. 23, 1-6, 2010. Google Scholar

18. Dias, D. H. N., E. S. Motta, G. G. Sotelo, R. Andrade, R. M. Stephane, L. Kuehn, O. Haas, and L. Schultz, "Simulations and tests of superconducting linear bearings for a MAGLEV prototype," IEEE Trans. on Applied Superconductivity, Vol. 19, No. 3, 2120-2123, June 2009.
doi:10.1109/TASC.2009.2019203 Google Scholar

19. Jin, J. X., L. H. Zheng, Y. G. Guo, J. G. Zhu, C. Grantham, C. C. Sorrel, and W. Xu, "High-temperature superconducting linear synchronous motors integrated with HTS magnetic levitation components," IEEE Trans. on Applied Superconductivity, Vol. 22, No. 5, 5202617, October 2012.
doi:10.1109/TASC.2012.2210893 Google Scholar

20. Ma, G.-T., "Considerations on the finite-element simulation of high-temperature superconductors for magnetic levitation purposes," IEEE Trans. on Applied Superconductivity, Vol. 23, No. 5, 3601609, October 2013.
doi:10.1109/TASC.2013.2259488 Google Scholar

21. Wang, S., J. Zheng, H. Song, X.Wang, and J.Wang, "Experiment and numerical calculation of high temperature superconducting maglev," IEEE Trans. on Applied Superconductivity , Vol. 15, No. 2, 2277-2280, June 2005.
doi:10.1109/TASC.2005.849630 Google Scholar

22. Zheng, J., H. Song, J. Wang, S. Wang, M. Liu, and H. Jing, "Numerical method to the excited high-tc superconducting levitation system above the NdFeB guideway," IEEE Trans. on Magnetics, Vol. 42, No. 4, 947-950, April 2006.
doi:10.1109/TMAG.2006.871639 Google Scholar

23. Dias, D. H. N., G. G. Sotelo, and R. Andrade, "Study of the lateral force behavior in a fild cooled superconducting linear bearing," IEEE Trans. on Applied Superconductivity, Vol. 21, No. 3, 1533-1537, June 2011.
doi:10.1109/TASC.2010.2090635 Google Scholar

24. Costamagna, E., P. D. Barba, M. E. Mognaschi, and A. Savini, "Fast algorithms for the design of complex-shape devices in electromechanics," Computational Methods for Electrical Devices Design, Vol. 327, 59-86, 2010.
doi:10.1007/978-3-642-16225-1_4 Google Scholar

25. Boughrara, K., T. Lubin, R. Ibtiouen, and N. Benallal, "Analytical calculation of parallel double excitation and spoke-type permanent-magnet motors; simplified versus exact model," Progress In Electromagnetics Research B, Vol. 47, 145-178, 2013. Google Scholar

26. Lubin, T., K. Berger, and A. Rezzoug, "Inductance and force calculation for axisymmetric coil systems including an iron core of finite length," Progress In Electromagnetics Research B, Vol. 41, 377-396, 2012. Google Scholar

27. Sotelo , G. G., D. H. N. Dias, R. Andrade, Jr., R. M. Stephane, N. Del-Valle, A. Sanchez, C. Navau, and D. Chen, "Experimental and theoretical levitation forces in a superconducting bearing for a real-scale maglev system," IEEE Trans. on Applied Superconductivity, Vol. 21, No. 5, 3532-3540, October 2011.
doi:10.1109/TASC.2011.2159114 Google Scholar

28. Sotelo, G. G., D. H. N. Dias, O. J. Machado, E. D. David, R. Andrade, Jr., R. M. Stephane, and G. C. Costa, "Experiments in a real scale maglev vehicle prototype," Journal of Physics: Conference Series, Vol. 234, No. 032054, 1-7, 2010. Google Scholar

29. Sotelo, G. G., R. de Andrade, Jr., D. H. N. Dias, A. C. Ferreira, F. Costa, O. J. Machado, R. A. H. de Oliveira, M. D. A. Santos, and R. M. Ste, "Tests with one module of the Brazilian Maglev-Cobra vehicle," IEEE Trans. on Applied Superconductivity , Vol. 23, No. 3, 3601204, June 2013.
doi:10.1109/TASC.2013.2237875 Google Scholar

30. Wang, J., S. Wang, and J. Zheng, "Recent development of high temperature superconducting maglev system in China," IEEE Trans. on Applied Superconductivity, Vol. 19, No. 3, 2142-2142, June 2009.
doi:10.1109/TASC.2009.2018110 Google Scholar

31. Meeker, D. C., Finite Element Method Magnetics, Ver. 4.2 (April 1, 2009 Build).
doi:http://www.femm.info

Dr. Kamel Boughrara

Prof. Rachid Ibtiouen