A wind turbine includes a superconducting generator having an armature and a superconducting field winding set. The armature includes at least one multiphase armature winding set having a plurality of armature windings. The superconducting field winding set is separated by a gap from the armature. The superconducting field winding set includes a plurality of field windings, wherein one of the armature winding set and superconducting field winding set is connectable to rotate with a rotating component of the wind turbine and another of the armature and the superconducting field winding set being non-rotating. The wind turbine also includes a controllable power converter coupled to the at least one multiphase armature winding set and a controller configured to control switching operations of the controllable power converter to effect a phase shift among the plurality of armature windings.