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.
Highlights
Single Sided Linear Induction Motor (SLIM) is widely used in transportation system and other fields in need of linear drive which can obtain the thrust without gears and links, or auxiliary mechanisms
The finite width of the rotor gives rise to peripheral currents in addition to the axial currents which are simultaneously reduced in length
As the rotor like the stator, is assumed to be infinitely long, the same Hankel function approach has been used for quick solution of
Summary
Single Sided Linear Induction Motor (SLIM) is widely used in transportation system and other fields in need of linear drive which can obtain the thrust without gears and links, or auxiliary mechanisms. It is well known that numerical methods in computational techniques becomes very much helpful to a researcher or designer when the electromagnetic field equations are applied to a full electrical machine or parts of electrical machines in the proximity of iron boundary. Such philosophy leads to partial differential equations or integro-differential equations formulation in the area of electrical machines, drives or magnetic. As realistic iron boundaries are involved in such formulations, closed form equations becomes very difficult to build up and the concerned analytical solutions are rare Such situations can be tackled efficiently using tools under numerical methods such as finite difference method, finite element method etc. It is assumed that the stator back iron of width Ws, is assumed to be infinitely permeable and perfectly laminated
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