Nine-phase induction motor dynamic model based on 3×9 transformation matrix

Abstract

Analysis of the dynamic model nine-phase induction motor becomes difficult because based on a 9×9 matrix and a circuit of magnetically coupled transformer. In order to gain the qdn dynamic model of the nine-phase induction motors in easy, simple, quick and consistent way, the motor analysis will based on 3×9 transformation matrix and the equivalent circuit T model. The 3×9 transformation matrix qdn is substituted into the equation in form abc so that the matrix equation of qdn is obtained. Then qdn equation results a similar qd equivalent circuit, which has different methods n that is, based the circuit of magnetically coupled transformer. Simulation results show that the dynamic characteristics of 9-phase induction motor based on the T model and magnetically coupled circuit have similar torque and speed dynamic response.