A power generation system has a housing with a first housing section (I) and a second housing section (II), an alternator arranged within the first housing section (I) and a gas turbine arranged within the second housing section (II). The alternator is drivable by the gas turbine, wherein the first housing section (I) includes an air inlet through which an airstream is injectable into the first housing section (I) such that the airstream passes the alternator and cools the alternator. The first housing section (I) is coupled to the second housing section (II) such that the airstream is feedable into the second housing section (II) after the airstream has passed the alternator. The second housing section (II) includes an air outlet through which the airstream is exhaustable after passing the gas turbine.