Don't forget to include the air compressor section of the turbine.
Basically you need to simulate:
- An adiabatic compressor for air. Typically from 15 to 25 bar.
- A reactor for the combustion. You have to regulate the excess air not to exceed
- An adiabatic expansion of the combustion gases.
The net work from adding the expansion to the compressor is what you get at the turbine shaft to use in your natural gas compressor.
Both compressor and expansion are highly efficient in modern turbines (think 85%+ isentropic)
The thing you need to vary is the excess air to obtain a reasonable combustion temperature.1200°C is typical. 1500 °C is achievable in some cooled blades, special coating turbines.
Overal efficiency is 35%+ against lower heating value.