Gas turbines play a crucial role in energy generation, driving the pursuit of increasingly efficient systems that prioritize the use of renewable resources to address environmental and economic challenges. Exergy analysis stands out as an effective tool for analyzing the work potential of thermal machines, integrating the first and second laws of thermodynamics. This study developed two MATLAB routines for a generalized exergy analysis of turbines: one for the analysis of experimental data and another for design, considering different input parameters. The comparison with literature data revealed limitations due to uncertainties in constant heat values, incomplete fuel combustion, and air-fuel mixture modeling, which affected the precision and accuracy of the calculated exergy efficiency. For the first model, an average exergy efficiency of 86,4 per cent was obtained for compressors, 93,6 per cent for turbines, and 83% for the combustion chamber, with an average percentage error of 3,8 per cent for compressors, 4,02% for turbines, and 11,34 per cent for the combustion chamber. For the second model, the results showed 87,5 per cent for compressors, 92,7 per cent for turbines, and 82,6 per cent for the combustion chamber, with percentage errors of 4,93 per cent for compressors, 6,99 per cent for turbines, and 14,89 per cent for the combustion chamber. A case involving a fuel mixture (natural gas and hydrogen) was also evaluated to observe the system s behavior when varying the percentage of each fuel (step of 20 per cent of hydrogen) and injecting water. Decarbonization of the fuel in increased energy and exergy efficiencies. By injecting 0,7 kg/s of water into the system, a reduction in average exergy efficiency of 0,37 per cent and energy efficiency of 1,46 per cent was observed, along with an average system temperature decrease of 28K. This demonstrates the potential to control operational parameters to prevent damage to components.