A power generation system may include a generator; a gas turbine system for powering the generator, the gas turbine system including a turbine component, an integral compressor and a combustor to which air from the integral compressor and fuel are supplied, the combustor arranged to supply hot combustion gases to the turbine component, and the integral compressor having a flow capacity greater than an intake capacity of at least one of the combustor and the turbine component, creating an excess air flow. A first control valve system controls flow of the excess air flow along an excess air flow path to a supplemental gas turbine system. The excess air flow may be combusted with a fuel and supplied to the supplemental gas turbine system. An eductor may be positioned in the excess air flow path for using the excess air flow as a motive force to augment the excess air flow with additional gas.