The thermodynamic efficiency of a gas turbine can be calculated using the following formula:
Efficiency = (Net Work Output) / (Heat Input)
where:
- Net Work Output: This is the amount of work produced by the gas turbine. It can be calculated as the difference between the power output of the turbine and the power consumed by the compressor. Mathematically, Net Work Output = Turbine Power Output – Compressor Power Input.
- Heat Input: This is the amount of heat energy supplied to the gas turbine. It can be calculated as the product of the mass flow rate of the fuel and its heating value. Mathematically, Heat Input = Mass Flow Rate of Fuel x Heating Value of Fuel.
Once these values are obtained, the thermodynamic efficiency of the gas turbine can be calculated as the ratio of the net work output to the heat input. The result will be a decimal value, which can be converted to a percentage by multiplying by 100.
It is important to note that the thermodynamic efficiency of a gas turbine is affected by various factors, including the design of the combustion chamber, the efficiency of the compressor and turbine, and the operating conditions of the turbine. Therefore, the calculated efficiency may differ from the actual efficiency of the gas turbine in practice.
