Single shaft gas turbine and the cycles based on it are sensitive to frequency drops and sudden change loads or large frequency dips might affect their stability. This phenomenon is related to reduction of air mass flow rate through the gas turbine during frequency dips, which might lead to interaction between the governor and temperature control loop. This interaction will prevent the gas turbine from being loaded further and might affect its stability. In this paper, the performance of the two well-known power generation cycles based on the gas turbine -combined cycle and steam injected gas turbine (STIG cycle)- are investigated during frequency dips and transient maneuvers. For this purpose, two similar units are developed based on these cycles and their performance are studied and compared in different scenarios. The simulation results show that the steam injected gas turbine has a better performance during frequency drops and it can handle larger step change loads. This superior performance of the steam injected gas turbine unit is almost twice as good as the similar combined cycle unit in some of the operating conditions.