The rotor flux position is needed to perform vector control of induction motor. But rotor speed information is needed to get accurate the rotor flux position. It is difficult to implement the open loop method without speed information or the motor equation only because of noise or the motor parameter error. This paper presents the speed estimator can use the arbitrary rotor flux observer by separating the flux observer and speed estimator and apply the three flux observers proposed by Ohtani, Lorenz and full order flux observer. The validity of speed estimator presented is verified and the performance using the three rotor flux observers is analyzed by the simulation and experiment.