The invention relates to a generator (10) for a power plant, and to a method for cooling said generator. The generator comprises a stator (20) and a rotor (30), said stator (20) carrying conductors (22). The conductors (22) for a winding overhang (24) at least at one end of the stator (20) and the generator (10) has a fan (40) for cooling said winding overhang (24). The fan (40) produces a cooling air flow directed onto the winding overhang (24) and having an axial component and a radial component.