Dimensional analysis of the linear induction motor

A steady-state mathematical model for a general linear induction motor (LIM) is evaluated from a transient model based on complex phasor analyses. All basic parameters of a LIM such as pole pitch, airgap width, slot width, slot depth, winding pattern, etc. are incorporated into the model by means of efficient factors, most of them dimensionless. The influence of these parameters and/or factors on specific LIM properties is analysed. Saturation and skin effect, as well as allowable (stator) current densities, defines the workable limits of both model and LIM. The model needs to approach reality reasonably well and must also be simple so as not to loose insight into its essential possibilities. Therefore, use has been made of hyperbolic airgap factors to replace the Maxwell field relations which actually determine the problem. The validity of the model in question is demonstrated by force measurements on some types (single-sided, tubular, slotless) of laboratory built LIMs