To design the vector control system of the induction motor, the γ . δ coordinate is used to obtain the high performance decoupling current control system. But the motor model using the γ . δ coordinate is different from the physical image of the motor, because the frequency ω1 of the power source is necessary for this model, and also this model is not three phase. To overcome above mentioned problems, a new three phase model of the induction motor based on a new state equation in which the frequency ω1 is not necessary will be presented. A new vector control system based on the three phase coordinate will also be proposed. The simulation results of the V/f control and the above vector control system using the proposed three phase model will be presented.
