Exergy and exergoeconomic analyses of a supercritical CO₂ cycle for a cogeneration application

Detailed exergy and exergoeconomic analyses are performed for a combined cogeneration cycle in which the waste heat from a recompression supercritical CO₂Brayton cycle (sCO₂) is recovered by a transcritical CO₂cycle (tCO₂) for generating electricity. Thermodynamic and exergoeconomic models are developed on the basis of mass and energy conservations, exergy balance and exergy cost equations. Parametric investigations are then conducted to evaluate the influence of key decision variables on the sCO₂/tCO₂performance. Finally, the combined cycle is optimized from the viewpoint of exergoeconomics. It is found that, combining the sCO₂with a tCO₂cycle not only enhances the energy and exergy efficiencies of the sCO₂, but also improves the cycle exergoeconomic performance. The results show that the most exergy destruction rate takes place in the reactor, and the components of the tCO₂bottoming cycle have less exergy destruction. When the optimization is conducted based on the exergoeconomics, the overall exergoeconomic factor, the total cost rate and the exergy destruction cost rate are 53.52%, 11243.15 $/h and 5225.17 $/h, respectively. The optimization study reveals that an increase in reactor outlet temperature leads to a decrease in total cost rate and total exergy destruction cost rate of the system.