A wind turbine generator includes an outer housing, a drive shaft rotatably mounted within the outer housing, stator and rotor assemblies positioned within the outer housing and movable relative to each other, a heat exchanger, and a blower having a rotating plate for generating a fluid flow circuit within the generator for transporting heat from the stator and rotor assemblies to the heat exchanger. An eddy current brake having a rotating member is located within the outer housing and is positioned in the fluid flow circuit such that fluid moving in the flow circuit cools the first rotating member. The blower and the eddy current brake may be integrated, such as by having the rotating plate of the blower serve as the rotating member of the eddy current brake. A wind turbine having such a generator, as well as a method of operating a wind turbine generator is also disclosed.