A fast recursive solution for induction motor transients

A fast and accurate algorithm for determining induction-motor transient behavior is presented. The fast components of the stator transients are decoupled from the machine flux linkage equations by a linear transformation. The resulting differential equations are then solved by using recursive algebraic equations, which require considerably less computational effort than existing methods. An example shows that the method is very accurate and yet uses less than 40% of the CPU time required by the exact model. The method could be useful in studies that involve simultaneous responses of many machines, such as power system stability studies, where optimal computational efficiency is desirable