Abstract: Method of induction motor vector control in Cartesian and polar coordinates, whereby control of the rotor speed, induction motor torque, as well as dynamic, power, and thermal processes, which is interconnected with control of the rotor flux linkage amplitude and phase as functions of the desired induction motor torque, is achieved in an electric drive by synchronizing the stator current control by a controlled synchronization frequency by means of three control inputs, one control input is used to control the synchronization frequency and phase as functions of the desired rotor torque and speed; two other control inputs are used to control the amplitudes of ortho-phasal and current phase to a phase angle equal to the ratio of the ortho-phasal and co-phasal and ortho-phasal currents as functions of the desired induction motor torque, the actual desired amplitude of the rotor flux linkage, and magnetizing characteristic of the induction motor, while the amplitudes of the ortho-phasal and co-phasal currents is