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     Research Journal of Applied Sciences, Engineering and Technology


Analysis of Finite Width Effects of Single-sided Linear Induction Motor Using Hankel Functions

Adhir Baran Chattopadhyay, Upala Banarjee and Sunil Thomas
Department of Electrical and Electronics Engineering, Birla Institute of Technology and Science, P.O. Box: 345055, Pilani-Dubai, U.A.E
Research Journal of Applied Sciences, Engineering and Technology  2016  12:1163-1175
http://dx.doi.org/10.19026/rjaset.12.2873  |  © The Author(s) 2016
Received: April ‎22, ‎2014  |  Accepted: August ‎22, ‎2015  |  Published: June 15, 2016

Abstract

Construction of a prototype Single Sided Linear Induction Motor (SLIM) is not possible taking stator and rotor width to be infinite because the formation of stator winding is not possible without the overhang. Also the current path in the rotor sheet cannot be made of closed type until and unless rotor width is finite. This study takes into account, the finite width effects of both stator and rotor but ignores the discontinuity of the rotor in the longitudinal direction. The finite width effects in a SLIM are analyzed using special mathematical tools such as Hankel Function for faster numerical convergence. The basic difficulty in formulating such problem, based on electromagnetic field theory applications, is to calculate the induced current in the rotor sheet, which is electrically decoupled from the stator winding system. It is also known that currents in the rotor sheet are generally computed, based on the fact that current cannot escape the sheet. Therefore, the divergence of rotor current density being zero calls for introduction of a field quantity “Stream Function”. The present paper uses stream function effectively for tackling the above said difficulty. The results presented in the study are compared with the values of a model with stator and rotor of finite width. Such comparison results can help a designer to decide a finalized value of stator and rotor width.

Keywords:

Hankel function, SLIM, stream function and finite width effects,


References

  1. Alonge, F., M. Cirrincione, F. D'Ippolito, M. Pucci and A. Sferlazza, 2014. Parameter identification of linear induction motor model in extended range of operation by means of input-output data. IEEE T. Ind. Appl., 50(2): 959-972.
    CrossRef    
  2. Boldea, I. and M. Babescu, 1978. Multilayer approach to the analysis of single-sided linear induction motors. P. I. Electr. Eng., 125(4): 283-287.
    CrossRef    
  3. Chattopadhyay, A.B., 1997. Some experimental and theoretical investigations on the propulsion, levitation and lateral guidance forces in a long stator, short rotor, single sided linear induction motor. Ph.D. Thesis, Indian Institute of Technology (IIT) Kharagpur.
  4. Dos Santos, E.B., J.R. Camacho, A.A. De Paula and G.C. Guimaraes, 2001. Efficiency of the Linear Induction Motor (LIM) performance under constant voltage feeding-additional finite elements considerations. Proceeding of the IEEE Porto Power Tech, Vol. 04.
    CrossRef    
  5. Freeman, E.M. and D.A. Lowther, 1973. Normal force in single-sided linear induction motors. P. I. Electr. Eng., 120(12): 1499-1506.
    CrossRef    
  6. Ham, S.H., S.G. Lee, K.S. Kim, S.Y. Cho, C.S. Jin and J. Lee, 2009. Study on reduction of transverse edge effect of single-sided linear induction motor for transportation system. Proceeding of the IEEE Electrical Machines and Systems, ISBN: 978-1-4244-5177-7, pp: 1-4.
    CrossRef    
  7. Han, J., Y. Li, Y. Du, W. Xu and N. Jin, 2008. Dynamic characteristics study of single-sided linear induction motor with finite element method. Proceeding of the IEEE/ASME International Conference on Advanced Intelligent Mechatronics. Xian, ISBN: 978-1-4244-2494-8, pp: 439-444.
    PMid:18572865    
  8. Laithwaite, E.R., 1966. Induction Machines for Special Purposes. Newnes, London.
  9. Lipkins, R.S. and T.C. Wang, 1971. Single Sided Linear Induction motor (SLIM): A study of thrust and lateral forces. Report FRA-RT-72-25. Prepared for Office of High Speed Ground Transportation. Federal Railroad Administration, Washington D.C. McLean, G.W., 1988. Review of recent progress in linear motors. IEE Proc-B, 135(6): 380-416.
  10. Nasar, S.A., 1976. Linear Electric Machines. Wiley, New York.
    PMid:1249017    
  11. Preston, T.W. and A.B.J. Reece, 1969. Transverse edge effects in linear induction motors. P. I. Electr. Eng., 116(6): 973-979.
    CrossRef    
  12. Pucci, M., 2014. State space-vector model of linear induction motors. IEEE T. Ind. Appl., 50(1): 195-207.
    CrossRef    
  13. Ratnam, K.V. and A.B. Chattopadhyay, 1996. Analysis of electromagnetic forces in a single-sided short rotor linear induction motor. Proceeding of the International Conference on Power Electronics, Drives and Energy Systems for Industrial Growth. New Delhi, 1: 591-597.
    PMid:9104056    
  14. Venkataratnam, K. and A.B. Chattopadhyay, 2002. Analysis of electromagnetic forces in a levitated short rotor LIM-Part I: Finite length and finite width effects. IEEE T. Energy Conver., 17(1): 95-101.
    CrossRef    
  15. Yang, Z., J. Zhao and T.Q. Zheng, 2008. A novel traction and normal forces study for the linear induction motor. Proceeding of the International Conference on Electrical Machines and Systems. Wuhan, pp: 3474-3477.

Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.

ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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