Reduction in the torsional vibration of heavy rotors (eg, turbo-generator rotors) is important for the safe and efficient functioning of the power plant. In this paper, a theoretical study is performed to control the torsional vibration of a turbo-generator rotor using a piezoelectric material, namely a polyvinylidene fluoride (PVDF) layer, as a sensor and actuator. Proportional and velocity feedback is used as a control law. The variation in the electromagnetic torque of the synchronous generator during various electrical faults is evaluated using a dq0 model. The finite element (FE) method is used to model the rotor elements. The coupled equations are solved in MATLAB using the Newmark-beta integration method. The coupling elements of the turbine and generator are most susceptible to shear failure. Hence, the torsional vibration of the coupled rotor on coupling elements is compared for the controlled and uncontrolled scenarios. The simulation results show that, for an actively controlled rotor, a significant reduction in the amplitude of the torsional vibrations is observed.