A wind turbine having a wind turbine tower with a nacelle; a wind turbine rotor hub with at least one rotatably mounted wind turbine blade; a shaft coupled to the wind turbine rotor hub and a generator. The generator has a rotor having at least one superconducting rotor coil arranged rotatably relative to a stator having at least one stator coil. The rotor is arranged in a rotor housing and the stator is arranged in a stator housing, the housings being separated by a rotor-stator gap. The stator housing has a stator inner shell and a stator outer shell connected together by at least one stator housing end plate. The stator inner shell has a first inner shell element attached to a stator iron that is connected to a second inner shell element. A pressure plate is attached to the second inner shell element and the stator outer shell.