The combined heating and power (CHP) system is among the most effective ways to increase energy and exergy efficiencies, reduce fuel consumption, and reduce operational costs. In this study, the combination of an electricity and heat CHP system with the prime movers of a gas turbine and a horizontal axis wind turbine under the strategy of providing electric charge has been investigated. This study aims to evaluate the effect of the wind turbine on the system. The Blade Element Momentum Theory (BEM) is used to model the wind turbine under different wind speeds, pitch angle, and tip speed ratios to show their effect on the gas turbine system under different combustion chamber temperatures and pressure ratios. The results show that the proposed CHP system has significant advantages over the separate production system. It is shown that the best operating condition for the wind turbine is at the wind speed of 12 m/s, the pitch angle of 5°, and the tip speed ratio of 3. Moreover, the wind speed and tip speed ratio effects become considerable at the high-pressure ratios of more than ten and the combustion chamber temperature below 1250°C on the total system's exergy efficiency. Also, compared to the separate production mode, operational costs and fuel consumption are reduced by about 55% and 60%, respectively. Finally, taking into account the interest rate, the payback period will be equal to 5.4 years.