## 1 Introduction
### Study Progress
Different compressors and vacuum pumps, located on the permeate and retenate sides,have been evaluated for their value in determining the optimal pressure difference around the membrane. Regarding the author's declaration, the first membrane area has the most impact on the overall price. However, for the considered system, the paper results demonstrated that the membrane system is more economically efficient than pressure swing adsorption and MEA absorption for the integration of carbon-capture technologies into a CFPP. The economic benefits or drawbacks related to the system had not been precisely determined. [PERSON] et al. (2023) studied two stages of membrane in a process at different CO2 permeance and CO2/N2 selectivity to obtain a 90% CO2 capture rate with more than 95% purity for coal-fired power plants. A sensitive analysis of operating pressures and membrane performance with a highly CO2-selective membrane (CO2/N2 selectivity >300) has been conducted to assess the membrane area and fractional energy. A feed gas of 117,745 kmol/h that includes 12.46% CO2, 14.97% H2O vapor, and 72.57% N2 was investigated in this paper. The authors revealed that increasing the membrane CO2 permeability leads to reducing the total membrane area for a separation process, therefore mitigating the CO2 capture costs. In the [PERSON] proposal, the effect of membrane selectivity on economic evaluation has been elucidated. [PERSON] et al. (2021) investigated different designs and operating parameters and their influence on the membrane techno-economic performance with the separation goal of a 90% CO2 capture rate and 95% CO2 purity. The authors declared that increasing the first compressor pressure leads to reducing the membrane surface area notably, despite the power raises due to the extra power consumed by the compressors. Another particular outcome was released by the authors that enhancing membrane selectivity is not necessarily a strategy to reduce costs. Conversely, a larger selectivity value reduces the system's specific energy, which is crucial for the pliable operation of integration membrane CO2 separation. A sensitive analysis regarding the discount payback period and CO2 purity effect on total power consumption has not been presented though. [PERSON] et al. (2021) conducted an optimization study for the carbon dioxide recovery process by utilizing an N2-selective, CO2-selective membrane, and N2-CO2 hybrid system. A feed specification of 80,356 kmol/h with 13.5% CO2, 68.9% N2, 15.2% H2O, and 2.4% O2 resulting from a CFPP with 550 MW power generation was examined. The author's results revealed that harnessing three stages of membrane instead of two at a particular CO2 recovery rate and purity is more beneficial regarding the cost related to the membrane CO2 removal process. Despite the full investigation of the economic and technical results, a sensitive examination of economic indicators, such as discount payback period and profitability index has not been investigated. In addition, the analysis of the energy consumption required to capture 1 kg of CO2 was not presented. All the referenced authors demonstrated the major parameters that influence any membrane CO2-capture system and should be optimized to set the optimum technical and economical outcomes.