Article is devoted to design of optimum electromagnets for magnetic levitation of transport systems. The method of electromagnets design based on the inverse problem solution of electrical equipment is offered. The method differs from known by introducing a stage of minimization the target functions providing the stated levitation force and magnetic induction in a gap, and also the mass of an electromagnet. Initial values of parameters are received, using approximate formulas of the theory of electric devices and electrical equipment. The example of realization of a method is given. The received results show its high efficiency at design. It is practical to use the offered method and the computer program realizing it as a part of system of the automated design of electric equipment for transport with a magnetic levitation.
Keywords
optimizationinverse problemsfinite elements methodelectromagnetmagnetic fielddesign automatization
References
M. Murai and M. Tanaka, “Magnetic levitation (maglev) technologies,” Japan Railway & Transport Review, vol. 25, pp. 61–67, 2000.
R. Schach, P. Jehle, and R. Naumann, Transrapid und Rad-Schiene-Hochgeschwindigkeitsbahn. Berlin Heidelberg: Springer-Verlag, 2006, 428 p.
H. W Lee, K.C. Kim, and J. Lee, “Review of maglev train technologies,” IEEE Trans. Magn., vol. 42, no. 7, pp. 1917–1925, 2006.
V. I. Bocharov, Yu.A. Bahvalov, and I.I. Talya, Bases of design of an electrorolling train with a magnetic levitation and the linear traction electric drive. P.1. Rostov N / D.: Publishing house of RND university, 1992, p. 432.
Y. H. Tzeng and T.C. Wang, “Optimal design of the electromagnetic levitation with permanent and electro magnets,” IEEE Trans. Magn., vol. 30, no. 6, pp. 4731–4733, 1994.
S. Guangwei, C. Weigong, and R. Meisinger, “The Research on the Model of a Magnetic Levitation System,” Electric Machine and Control, vol. 9, no. 2, pp. 187–190, Feb. 2005.
P. K. Biswas and S. Bannerjee, “Analysis of U-I and U-U type rail and actuator used in electromagnetic levitation system using FEM software,” International Journal of Emerging Technology and Advanced Engineering, vol. 2, no. 5, pp. 32-39, 2012.
Y. Yasuda, M. Fujino, and M. Tanaka, “The first HSST maglev commercial train in Japan,” in: Maglev 2004 Proceedings, Shanghai, China, 2004, pp. 76-85.
X. M. Wu, Maglev Train. Shanghai: Shanghai Science and Technology Press, 2003: pp. 1-10.
G. Schweitzer and E.H. Maslen, Magnetic Bearing Theory: Design, and Application to Rotating Machinery. Berlin: Springer, 2009, 535 p.
W. J Kim and H. Maheshwari, “High-precision control of a maglev linear actuator with nanopositioning capability,” in: Proc. 2002 American Control Conf. , May 2002, pp. 4279–4284.
Yu.A. Bahvalov, N.N. Gorbatenko, and V.V. Grechikhin, Inverse problems of electrical equipment. Novocherkassk: Publishing house of the magazine "News of higher education institutions. Electromecanics", 2014, p. 211 .
A. T. Morgan General Theory of Electrical Machines. London: Heyden & Sons, 1979, 448 p.
K. Simonyi, Theoretische Elektrotechnik. Leipzig: Barth Verlag, 1993, p. 974.
J. Nocedal and S.J. Wright, Numerical Optimization. New York: Springer-Verlag, 1999, 636 p.
O.V. Tozoni, “The calculation of the field of the electromagnet moving along the electromagnetic band,” Proceedings of the Russian Academy of Sciences. Power Engineering and Transport, vol. 6, pp. 96–109, 1977.