A device for reducing a magnetic unidirectional flux fraction in the core of a transformer is provided. The device has a measuring device that provides a sensor signal corresponding to the magnetic unidirectional flux fraction, a compensation winding that is magnetically coupled to the core of the transformer, a switching unit arranged electrically in a current path in series with the compensation winding in order to feed a current into the compensation winding. The action of the current is directed opposite to the unidirectional flux fraction. The switching unit can be controlled by a regulating variable provided by a control device and can be switched into a conductive state during a predefined time interval and in accordance with the regulating variable, the switch-on time being mains-synchronous. A device for limiting the current in the current path is provided and the sensor signal is fed to the control device.