Perturbation analysis of a split-phase induction motor in time and frequency domains

This paper presents a new simplified mathematical model for control analysis of a split - phase single - phase induction motor for fast digital computation of its transient behavior, This model avoids numerical inversion of the machine inductance matrix and allows a large saving in computation time. The non - linear equations are perturbed about an operating point and then rearranged as a multi input/multi - output time - invariant linear model. This model defines the dynamic behavior about an operating point as A function of motor parameters input voltage And output torque, Dynamic performance of the motor is then predicted and the results are presented. For speed control, this model can be rearranged we a multi - input single - output control system with the aid of frequency analysis, An exact transfer function of such a machine is evaluated and plotted, The effect of changing the load torque from 20 % up to 140 % of full load on transfer function is discussed.