A system for cooling a load coupling coupled to a gas turbine and disposed within an exhaust housing is provided. The system includes a shroud configured to be mounted about the load coupling, the shroud defining an inlet passage between the shroud and the load coupling and an outlet passage between the exhaust housing and the shroud. The system also includes a set of blades configured to couple to the load coupling. The set of blades are angled to draw air into the inlet passage as the set of blades rotate with the load coupling.