A method of augmenting power output by a gas turbine engine includes channeling fuel into the gas turbine engine at a predetermined fuel flow rate to generate a first power output. Steam is then injected into the gas turbine engine at a first steam flow rate, and a firing temperature bias is determined based at least on the first steam flow rate. The predetermined fuel flow rate is then adjusted based on the determined firing temperature bias such that the gas turbine engine generates a second power output greater than the first power output.