The conventional extended Kalman filtering ( EKF) algorithm has been widely applied to the position sensorless control of induction machines ( IM) .However,heavy computational burden may accompany with EKF,especiallyfor the IM with a high-order and strong-coupling mathematical model.In order to solve this problem,a novel control algorithm using the two-stage extended Kalman filtering ( TEKF) ,which is mathematically equivalent to the conventional EKF algorithm,is proposed.In this algorithm,the stator current and the rotor flux linkage in the stationary reference frame are taken as the full-order state variables,and the rotor electrical angle and angular speed are used as the augmented system state variables.Experimental results show that the proposed algorithm can effectively save the operation time without degrading the parameter identification performance of the conventional EKF algorithm.