An electrical transformer with unidirectional flux compensation is provided. The transformer includes a soft magnetic core on which a primary winding arrangement, a secondary winding arrangement, and a compensation winding arrangement are arranged. The compensation winding arrangement is connected to a current control device which feeds a compensation current into the compensation winding arrangement using a control signal. A magnetic field measuring device measures the magnetic field in the core of the transformer or the stray magnetic field that closes outside the core via an air path and provides the control signal.