A device for damping control of mechanical torsional oscillations of an electrical alternating current generator connected to a multi-phase power supply system, includes a controllable converter of an HVDC installation connected to the power supply system, a measurement and filter device for detection of a frequency-dependent signal in a frequency range of the torsional oscillations of the alternating current generator and a correction apparatus for correction of a control signal for the converter for the HVDC installation. The correction apparatus includes a single phase correction filter for correction of a phase frequency response of the frequency-dependent signal. The control signal is formed by a current nominal value of a current regulator of the converter or a triggering angle of the nominal valve and with the phase correction filter is configured to take a transfer function of the current regulator into account.