In this paper, a mathematical model of a vector control system based on a chained rotor flow was created. The mathematical model of the PID controller and the methods of adjusting its parameters have been elaborated. A simulation of the regulated electric motor drive was carried out and the time responses of the drive variables at a sudden change in the motor torque reference were compared for the vector control systems of the asynchronous motor based on the chained stator and rotor currents.