A New Property of Transient Currents of Induction Motors

Abstract

This work presents, demonstrates and analyzes a property that relates the transient response of stator and rotor currents to the speed of induction motors and their parameters. The straightforward application of this property allows determining the rotation speed of the motor and detecting a failure or variation of its parameters. This property is demonstrated analyzing the induction motor modeled by two parts: one linear and another non-linear. Based on the operating principles of induction machines and the theory of differential equations, a hypothesis is stated on the behavior of currents in the transient state. Then, by symbolically computing the eigenvalues, the hypothesis is verified so that it validates the stated property.