Method and system of synthesizing turbine inlet temperature of a turbo machine

A method of synthesizing rotor inlet temperature in a turbine comprises the steps of determining a burner fuel flow (WFGG), a burner inlet pressure (PS32), and a compressor discharge temperature (T3) of a turbine, calculating a ratio unit parameter from the burner fuel flow, the burner inlet pressure, and the compressor discharge temperature, and calculating a synthesized rotor inlet temperature from the ratio unit parameter.