In Libya, simple gas turbine power plants are widely used for electrical power generation. However, this study examines complex configurations of the Brayton cycle, including the simple Brayton cycle, with intercooling, regeneration, and reheating, focusing on physical exergy destruction and its impact on specific fuel consumption and net power. The parameters are evaluated under the influence of the overall compression ratio, using selected turbine temperature and standard environmental conditions, with natural gas as the fuel. The results indicate that the combustion process is the primary source of exergy destruction, followed by the expansion stages with reheating, which contribute the next largest amount. In contrast, compression with intercooling results in the lowest exergy destruction across the overall compression ratio.