Mathematical model and computational analysis of selected transient states of cylindrical linear induction motor fed via frequency converter

摘要

The mathematical model of cylindrical linear induction motor (C-LIM) fed via frequency converter is presented inthe paper. The model was developed in order to analyze numerically the transient states. Problems concerning dynamics ofac-machines especially linear induction motor are presented in [1 – 7]. Development of C-LIM mathematical model is basedon circuit method and analogy to rotary induction motor. The analogy between both: (a) stator and rotor windings of rotaryinduction motor and (b) winding of primary part of C-LIM (inductor) and closed current circuits in external secondary part ofC-LIM (race) is taken into consideration. The equations of C-LIM mathematical model are presented as matrix together withequations expressing each vector separately. A computational analysis of selected transient states of C-LIM fed via frequencyconverter is presented in the paper. Two typical examples of C-LIM operation are considered for the analysis: (a) starting themotor at various static loads and various synchronous velocities and (b) reverse of the motor at the same operationconditions. Results of simulation are presented as transient responses including transient electromagnetic force, transientlinear velocity and transient phase current.