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This paper discusses a new vector control strategy for single-phase induction motor operating with two windings. The vector control is based on the Rotor Field Oriented (R.F.O) method that was adapted for this type of machine. This new vector control is suitable for all of the unbalanced induction motors. Moreover the rotor speed of the unbalanced motor is estimated by using Extended Kalman Filter (EKF). Results show the good performance of the proposed method.