Nonlinear transient stability analysis of induction motor via second method of Liapunov

A transient stability analysis of a three phase induction motor was performed by applying the second method of Liapunov to the equations which describe the dynamic behavior of the ideal induction motor. A unique transformation was made resulting in a simplified system of equations to which the second method of Liapunov is applicable. Then in the determination of the stability region, a simple method is presented using the specific nature of the nonlinearities (terms involving the product of two state variables). The asymptotic stability region which was obtained is a region of stability in the large. This region is larger than the local region of stability resulting from linearization about the steady state operating point.