Andrzej A. Stępniewski
Abstract. Mathematical models of two electromechanical systems consisting of a DC motor and an AC motor were built. To determine the moment of active (driving) torque as a function of angular velocity, Kirchhoff voltage equations were used in the system with the DC motor. In the system with the alternating current, equations determining the components of the stator and rotor vectors and the voltage equation were used. Both models include susceptibility and suppression of motion transmission systems. It was assumed that the speed control is carried out according to the preset traffic pattern in the feedback system in relation to position, speed and acceleration. The Runge-Kutta method was used to solve the equations. The author’s own simulation program was written, which allowed to determine the time of displacement, speed and acceleration of the output shaft depending on the resistance of motion and the adopted method of rotational speed control. Calculation examples have been provided. Conclusions and suggestions resulting from the simulation have been formulated.
Key words: DC motor, AC motor, dynamics, drive system, theoretical model, motion simulation.