A turbine inlet cooling method and system is disclosed that takes advantage of chilled fuel gas from one or more turbo-expanders, while taking advantage of the power generated from this process for refrigerant compression. In particular, mechanical work from the pressure drop of fuel gas through the turbo expanders will allow power generators to provide electricity to turn a refrigeration compressor's electric motor. In addition, the temperature drop of the fuel gas can operate as a first stage of cooling for a refrigeration medium returning from a turbine inlet cooler housing, among other advantages.