Simulation of induction machine starting transients using state variable techniques

A simple, fast, and accurate algorithm for determining induction machine starting transients is presented. The fifth-order system of differential equations is divided into three lower-order subsystems. An iterative solution technique utilizing discrete time linear state-variable techniques is used for solution of two linear subsystems instead of the commonly used inefficient numerical techniques. The solution of the third subsystem is obtained by using well-known numerical techniques. The accuracy of the algorithm is comparable to that of the fifth-order model, and the CPU time requirements are as little as 31% of that required by the fifth-order model