Although in Libya simple gas turbine power plants are widely used to produce electrical power. However, in this endeavor the examination of complex configurations of the Brayton cycle including the simple Brayton cycle, with intercooling, regeneration, and reheating from the point of physical exergy destruction and its influence on specific fuel consumption and net power is explored. Therefore, the main task of this paper is directed to investigate the exergy destruction and specific fuel consumption and power under the impact of overall compression ratio at selected turbine temperature and standard environmental conditions of temperature25 OC, pressure 1atm, and 60% relative humidity using natural gas fuel. The paper showed that combustion process presented the most source of exergy destruction beside the stages of expansion with reheating reported the next higher source, while the compression with intercooling indicated the lower one profile along the overall compression ratio .