PERTURBATION ANALYSIS OF A SPLIT-PHASE INDUCTION-MOTOR IN TIME AND FREQUENCY DOMAINS

This paper presents a new simplified mathematical model for control an alysis of a split - phase single - phase induction motor for fast digi tal 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 t ime - invariant linear model. This model defines the dynamic behavior about an operating point as A function of motor parameters input volta ge And output torque, Dynamic performance of the motor is then predict ed 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 machi ne is evaluated and plotted, The effect of changing the load torque fr om 20 % up to 140 % of full load on transfer function is discussed.