The Main Inductances of Linear Induction Motor Windings

Abstract

The article deals with the methodology according to which when using one dimensional electromagnetic field solutions it is possible to derive analytic expressions of the main inductance of LIM inductor phase windings. The derived analytic normal, positive and negative traveling field magnetic flux density and vector potential are required in calculating complete magnetic flux and inductances. There have been presented analytic positive and negative component expressions depending on the position on the longitudinal coordinate x and secondary element velocity v , used in determining the main inductances. The derived analytic expressions of any complete magnetic flux of LIM inductor phase coil and windings are expressed via the magnetic flux density and vector potential. There have been derived a general formula for calculating the main inductance of any phase windings and inductance of separate normal, positive and negative components. These formulas may be applied in calculating the specific linear induction motor parameters in compiling a dynamic drive model and in modeling automatic linear electric drive systems. Bibl. 8 (in English; summaries in English, Russian and Lithuanian).