001.docx CHEMICAL ENGINEERING TRANSACTIONS VOL. 83, 2021 A publication of The Italian Association of Chemical Engineering Online at www.cetjournal.it Guest Editors: Jeng Shiun Lim, Nor Alafiza Yunus, Jiří Jaromír Klemeš Copyright © 2021, AIDIC Servizi S.r.l. ISBN 978-88-95608-81-5; ISSN 2283-9216 Exergy Analysis of a Natural Gas-Fired Gas Turbine Combined Cycle Power Plant with Post-Combustion Carbon Capture Youning Tanga, Cheng Tung Chonga,*, Jia Lia, Jo-Han Ngb, Laura Herraizc aChina-UK Low Carbon College, Shanghai Jiao Tong University, Lingang, Shanghai 201306, China. bFaculty of Engineering and Physical Sciences, University of Southampton Malaysia (UoSM), 79200 Iskandar Puteri, Johor, Malaysia. cThe University of Edinburgh, School of Engineering, The Kings Buildings, Edinburgh EH9 3JL, United Kingdom. ctchong@sjtu.edu.cn Post-combustion carbon capture (PCC) plays an important role in reducing the greenhouse gas emissions. In the present study, an exergy analysis is conducted to assess the exergy destruction and exergetic efficiency of a natural gas-fired combined cycle gas turbine (CCGT) system coupled with the PCC unit. The overall exergetic performance of the system is compared against the baseline CCGT by using realistic data. The working temperature and composition of the exhaust flue gas are two critical parameters that have significant impact on the performance of the absorption liquid and equipment operation. Results show that the highest exergy destruction occurs in the combustion chamber and condenser are 15.69 MW and 11.78 MW, occupying more than 45 % of the exergy destruction of the overall system for the conventional CCGT system. For the CCGT system with PCC unit, the exergy destruction of absorber is relatively high with an exergetic efficiency of 56.18 %. The highest exergetic efficiency is found in the units of combustion chamber and heat recovery steam generator (HRSG), which are 90.23 % and 87.01 %, while the condenser has the lowest efficiency. Identification of the low efficiency component presents an opportunity for improvement of the system. 1. Introduction Post-combustion CO2 capture (PCC) is a promising technology to reduce CO2 emissions from the power plant, mostly via the use of monoethanolamine (MEA) to absorb CO2 (Huang, 2018). Since PCC requires only few modifications, it is currently considered as the most practical approach to capture CO2. Although Combined Cycle Gas Turbine (CCGT) power plant performs with high thermodynamic efficiency, the CO2 produced from the combustion process needs to be removed or captured before the flue gas is exhausted to the atmosphere. This study examines the exergy flow of CCGT with PCC to identify the opportunity for CO2 to be recycled and captured. Herraiz et al. (2018) analysed the impact of selective exhaust gas recirculation (SEGR) on the power output of CCGT cycle with PCC, without analysing the exergy flow of the system. Olaleye et al. (2015) analysed the exergy flow of a supercritical coal-fired power plant equipped with a CO2 capture system. The result shows that the highest exergy destruction occurred in the condenser section, occupying 51.77 % of the total exergy destruction of turbine cycle. Kong et al. (2016) performed an exergy analysis on the main components of CCGT and found that exergetic efficiency increases with increasing turbine’s duty, while the exergy destruction increases with increasing ambient temperature. The pressure ratio of gas turbine was found to have great effect on the thermal efficiency and exergetic efficiency, which can be enhanced by 50 % and 47 % when the pressure ratio of gas turbine was increased to 34 % (Reddy and Mohamed, 2007). It was shown that the inlet pressure of gas turbine has a significant effect on the exergetic efficiency, as lower inlet pressure will result in higher exergetic efficiency of gas turbine section. These studies serve as a useful guide to improve the performance of the system. To analyse the chemical exergy of MEA in DOI: 10.3303/CET2183089 Paper Received: 08/07/2020; Revised: 11/09/2020; Accepted: 02/12/2020 Please cite this article as: Tang Y., Chong C.T., Li J., Ng J.-H., Herraiz L., 2021, Exergy Analysis of a Natural Gas-Fired Gas Turbine Combined Cycle Power Plant with Post-Combustion Carbon Capture , Chemical Engineering Transactions, 83, 529-534 DOI:10.3303/CET2183089 529 the PCC unit, Gharagheizi et al. (2018) proposed the group distribution method to calculate the standard molar chemical exergy of complicated compounds through functional groups. The present study analyses the exergy flow of CCGT system with PCC unit, with the aim to identify the exergy of each component. Exergy analysis is based on the second thermodynamic law, in which the exergy destruction is determined by exergy balance equation, and exergetic efficiency can be calculated as exergy carried by the products over the exergy carried by fuel. Exergy analysis is a typical way to show the irreversibility of process and quality of energy, where the location, type and quantity of exergy destruction and loss can be identified in the system (Kong et al., 2016). Further, it enables the identification of the section with lowest utilization rate, which is the main target for energy saving measures. Exergy analysis can be utilised to enhance the performance of the overall system in the future. The present study is intended to identify the exergy destruction distribution and exergetic efficiency of each section in the CCGT-PCC system, and to identify the component with the lowest utilization rate. 1.1 CCGT and PCC system The model combined cycle gas turbine system chosen in this study is shown in Figure 1. The system is based on the proposed model by (Herraiz et al., 2018) developed using ASPEN Plus. The net power output for the gas turbine and steam turbine in this study are 58.225 MW and 10.019 MW. The operating conditions in the systems such as temperature, mass flow rate and pressure are based on the actual CCGT power plant of with rated power 30 MW (Bejan et al., 1996). The CCGT is assumed to operate with natural gas, a widely adopted gaseous fuel due to its clean emissions characteristic and high thermal efficiency. Air and natural gas are mixed and burned in the combustion chamber, while the exhaust gas flow expands through the turbine to generate electricity. Subsequently, the hot gas flows through the preheater and cooled down to 1006 K. Water is converted into steam vapour after absorbing the heat from exhaust flue gas in the HRSG. The steam contains high enthalpy is used to drive the steam turbine to produce work. The expanded vapour then condenses into water to be recirculated back to the HRSG for heat absorption. The detailed post-combustion carbon capture system is shown in Figure 2. The exhaust gas exiting from the HRSG enters the PCC system. Through booster fan and direct contactor cooler, temperature of flue gas is decreased to 318.15 K while the pressure is increased to 1.05 bar. The exhaust flue gas in the absorber flows from bottom to top, after contacting with the lean solvent from the top of the absorber, CO2 in the exhaust gas is absorbed. The exhaust flue gas flows out of the absorber at the top. Rich solvent exchanges heat with lean solvent from stripper at heat exchanger, because low temperature is required in absorber, and high temperature is required for stripper. After decreasing the temperature, lean solvent is recycled to the absorber. Rich solvent increases temperature to 378.15 K and enters the stripper to be desorbed. The gases after desorption contains CO2, water vapor and little MEA. After washing, condensation and separation at the top of stripper, water is condensed and recycled into the stripper. The CO2 is transported into the compression train and finally be stored or transported. Part of the lean solvent from the stripper will be recycled to the stripper after exchanging heat with steam in the reboiler, while the rest of the lean solvent will be recycled into absorber. In this way, MEA solvent can be utilized more efficiently. Figure 1: Overall system of combined cycle gas turbine with post-combustion carbon capture system Post-combustion CO2 capture system Ambient air Natural gas Preheater Combustion Chamber Gas Turbine HRSG Steam Turbine Condensor CWS CWR CO2 depleted gas to stack Booster Fan Direct Contactor Cooler Rotary gas/gas heat exchanger CO2 to compression train Ambient Air Natural Gas Exhaust Flue Gas Carbon Dioxide 14 15 13 8 12 9 11 107 6 5 4 3 2 1 Cooling Water LEGEND Water (Steam Cycle) Steam (Steam Cycle) 530 Figure 2: Detailed post-combustion carbon capture system 2. Exergy analysis 2.1 Physical and chemical exergy Exergy analysis is performed to identify the component with the lowest utilization rate in the overall system, which then enables subsequent measures to enhance the performance of the section with the highest destruction or lowest exergetic efficiency. In this study, the exergy flow analysis includes the physical and chemical exergy, while the potential exergy and kinetic exergy are not calculated. System is assumed to be operating under steady state condition and natural gas is assumed as pure methane for simplification of calculation. The physical exergy is defined as the maximum amount of work obtainable when the flow of matters is brought from the current state to the environment state (Po and To) (Szargut et al., 1988). The physical processes involve only thermal and mechanical interaction with the environment (Amrollahi et al., 2011). The physical exergy can be shown as Eq(1): 𝐸𝐸𝑝𝑝ℎ = (ℎ𝑖𝑖 − ℎ0) − 𝑇𝑇0(𝑠𝑠𝑖𝑖 − 𝑠𝑠0) (1) Where ℎ0 and 𝑠𝑠0 are the specific enthalpy and entropy. ℎ0 = ℎ(𝑇𝑇0, 𝑝𝑝0) and 𝑠𝑠0 = 𝑠𝑠(𝑇𝑇0, 𝑝𝑝0). 𝑇𝑇0 and 𝑃𝑃0 are ambient temperature (298.15 K) and pressure (1.013 bar). Chemical exergy is associated with the departure of the chemical composition of a system from that of the environment, which is caused by the heat transfer and exchange of substance with the environment (Bejan et al. 1996). The standard chemical exergy of substances in this study are adopted from Bejan et al. (1996), and the standard chemical exergy of gas mixture is calculated as Eq(2): �̅�𝑒𝐶𝐶𝐶𝐶 = ∑𝑥𝑥𝑘𝑘�̅�𝑒𝐶𝐶𝐶𝐶 + 𝑅𝑅�𝑇𝑇0 ∑𝑥𝑥𝑘𝑘𝑙𝑙𝑙𝑙𝑥𝑥𝑘𝑘 (2) Where x_k and e ̅^CH represent the molar fraction and standard chemical exergy of each component in the mixture. R is universal gas constant, which is 8.314 J/(mol·K). 2.2 Group distribution method For the solvent MEA, the group distribution method is used to calculate its standard chemical exergy. MEA (C2H7NO) is considered to consist of two CH2RX functional groups. Using the method proposed by (Gharagheizi et al., 2018), the standard molar chemical exergy of mixture can be shown as Eq(3): 𝜀𝜀0 = ∆𝐻𝐻𝑓𝑓 0 − 𝑇𝑇∆𝑆𝑆𝑓𝑓 0 + ∑𝑙𝑙𝑗𝑗 𝜀𝜀𝑗𝑗 0 (3) Where ∆𝐻𝐻𝑓𝑓 0 and ∆𝑆𝑆𝑓𝑓 0 are standard enthalpy and entropy of formation, 𝑙𝑙𝑗𝑗 is number of atoms of component j, 𝜀𝜀𝑗𝑗 0 is the standard molar chemical exergy of component j. For the organic matter, the formula shown in Eq(4) is calculated using the standard exergy values for different components (Table 1). 𝜀𝜀𝐶𝐶𝑎𝑎𝐶𝐶𝑏𝑏𝑁𝑁𝑐𝑐𝑂𝑂𝑑𝑑𝑆𝑆𝑒𝑒𝐹𝐹𝑓𝑓𝐶𝐶𝐶𝐶𝑔𝑔𝐵𝐵𝐵𝐵ℎ𝐼𝐼𝑖𝑖𝑆𝑆𝑖𝑖𝑗𝑗 0 = ∆Hf 0 − 𝑇𝑇∆Sf 0 + 𝑎𝑎𝜀𝜀𝐶𝐶 0 + 𝑏𝑏 2 𝜀𝜀𝐶𝐶2 0 + 𝑐𝑐 2 𝜀𝜀𝑁𝑁2 0 + 𝑑𝑑 2 𝜀𝜀𝑂𝑂2 0 + 𝑒𝑒𝜀𝜀𝑆𝑆 0 + 𝑓𝑓 2 𝜀𝜀𝐹𝐹2 0 + 𝑔𝑔 2 𝜀𝜀𝐶𝐶𝐶𝐶2 0 + ℎ 2 𝜀𝜀𝐵𝐵𝐵𝐵2 0 + 𝑖𝑖 2 𝜀𝜀𝐼𝐼2 0 + 𝑗𝑗𝜀𝜀𝑆𝑆𝑖𝑖 0 (4) Exhaust flue gas CWR CWS CWS CWR Water (Steam Cycle) Exhaust Flue Gas Carbon Dioxide Cooling Water Compression TrainRich Solvent Lean Solvent Condenser Stripper Absorber Lean/rich solvent heat exchanger Reboiler Lean solvent cooler Steam to reboiler Condensate to HRSG Steam (Steam Cycle) LEGEND 531 After replacing the standard molar chemical exergy of the known simple substance, the formula becomes Eq(5): 𝜀𝜀𝐶𝐶𝑎𝑎𝐶𝐶𝑏𝑏𝑁𝑁𝑐𝑐𝑂𝑂𝑑𝑑𝑆𝑆𝑒𝑒𝐹𝐹𝑓𝑓𝐶𝐶𝐶𝐶𝑔𝑔𝐵𝐵𝐵𝐵ℎ𝐼𝐼𝑖𝑖𝑆𝑆𝑖𝑖𝑗𝑗 0 = ∆Hf 0 − 𝑇𝑇∆Sf 0 + 410.26𝑎𝑎 + 118.05𝑏𝑏 + 0.36𝑐𝑐 + 1.985𝑑𝑑 + 609.6𝑒𝑒 + 233.15𝑓𝑓 + 61.8𝑔𝑔 + 50.6ℎ + 87.35𝑖𝑖 + 854.6𝑗𝑗 (5) Table 1: The experimental standard chemical exergies of different substances ID Standard Molar Chemical Exergy 𝜀𝜀0 (𝑘𝑘𝑘𝑘 𝑚𝑚𝑚𝑚𝑙𝑙)⁄ 1 Carbon (solid, graphite) 410.26 2 H2(gas) 236.1 3 N2(gas) 0.72 4 O2(gas) 3.97 5 S (solid, rhombic) 609.6 6 F2(gas) 466.3 7 Cl2(gas) 123.6 8 Br2(gas) 101.2 9 I2(gas) 174.7 10 Si(s) 854.6 The standard enthalpy of formation is Eq(6): ∆𝐻𝐻𝑓𝑓 0 = ∆𝐻𝐻𝑓𝑓 00 + �𝑙𝑙𝑖𝑖 78 𝑖𝑖=1 ∆𝐻𝐻𝑓𝑓 0𝑖𝑖 (6) The standard entropy of formation is calculated as Eq(7): ∆𝑆𝑆𝑓𝑓 0 = ∆𝑆𝑆𝑓𝑓 00 + �𝑙𝑙𝑖𝑖 78 𝑖𝑖=1 ∆𝑆𝑆𝑓𝑓 0𝑖𝑖 (7) Where 𝑙𝑙𝑖𝑖 is the number of occurrences of the i^th functional group. ∆𝐻𝐻𝑓𝑓 0𝑖𝑖 and ∆𝑆𝑆𝑓𝑓 0𝑖𝑖 are the contribution of the 𝑖𝑖 th functional group to the enthalpy and entropy of formation. ∆𝐻𝐻𝑓𝑓 00 and ∆𝑆𝑆𝑓𝑓 00 are the coefficients (Gharagheizi et al., 2018). MEA consists of two CH2RX functional groups. ∆𝐻𝐻𝑓𝑓 0𝑖𝑖 is -9.1154 kJ/mol, ∆𝑆𝑆𝑓𝑓 0𝑖𝑖 is -0.079kJ/mol, and ∆𝐻𝐻𝑓𝑓 00 is -23.9527kJ/mol, ∆𝑆𝑆𝑓𝑓 00 is 0.0205kJ/mol. Then, ∆Hf 0 and ∆Sf 0 of MEA is calculated as Eq(8) and Eq(9): ∆Hf 0 = ∆Hf 00 + � ni∆Hf 0i = −23.9527 + 2 × (−9.1154) = −42.1835 78 i=1 kJ mol⁄ (8) ∆Sf 0 = ∆Sf 00 + � ni∆Sf 0i = 0.0205 + 2 × (−0.0798) = −0.1391 78 i=1 kJ mol ∙ K⁄ (9) The standard molar chemical exergy for MEA is shown calculated as Eq(10): 𝜀𝜀𝐶𝐶2𝐶𝐶7𝑁𝑁𝑂𝑂 0 = ∆Hf 0 − 𝑇𝑇∆Sf 0 + 𝑎𝑎𝜀𝜀𝐶𝐶 0 + 𝑏𝑏 2 𝜀𝜀𝐶𝐶2 0 + 𝑐𝑐 2 𝜀𝜀𝑁𝑁2 0 + 𝑑𝑑 2 𝜀𝜀𝑂𝑂2 0 = −42.1835 − 𝑇𝑇 × (−0.1391) + 410.26𝑎𝑎 + 118.05𝑏𝑏 + 0.36𝑐𝑐 + 1.985𝑑𝑑 = −42.1835 + 0.1391𝑇𝑇 + 820.52 + 826.35 + 0.36 + 1.985 (𝑘𝑘𝑘𝑘 𝑚𝑚𝑚𝑚𝑙𝑙)⁄ (10) 2.3 Exergy destruction and exergetic efficiency Exergy destruction is from the friction and the irreversibility of heat transfer, which is represented as 𝐸𝐸�̇�𝐷. Exergy loss is the rate of exergy transfer related to the heat transfer, which is represented as 𝐸𝐸�̇�𝐿. Eq(11) and Eq (12) show the relationship between exergy loss and exergy destruction: 𝐸𝐸𝚤𝚤̇ = 𝐸𝐸�̇�𝑒 + 𝐸𝐸�̇�𝐷 + 𝐸𝐸�̇�𝐿 (11) �̇�𝐸𝐿𝐿 = �̇�𝑤𝑐𝑐𝑐𝑐 − � �̇�𝐸𝑖𝑖 𝑖𝑖 (12) The exergy balance equation is shown as Eq (13): 532 0 = �𝐸𝐸𝑞𝑞,𝚥𝚥̇ 𝑗𝑗 − �̇�𝑊𝑐𝑐𝑐𝑐 + ��̇�𝐸𝑖𝑖 𝑖𝑖 − ��̇�𝐸𝑒𝑒 − 𝑒𝑒 �̇�𝐸𝐷𝐷 (13) Exergetic efficiency is another critical value in the exergy analysis. In this study, exergetic efficiency is defined as the exergy of product over the exergy of fuel of a process (Bejan et al., 1996), as shown in Eq(14): 𝜂𝜂 = 𝐸𝐸𝑝𝑝𝐵𝐵𝑝𝑝𝑑𝑑𝑝𝑝𝑐𝑐𝑝𝑝/𝐸𝐸𝑓𝑓𝑝𝑝𝑒𝑒𝐶𝐶 (14) 3. Results and discussion Applying the basic exergy formulas, the physical exergy and chemical exergy of each critical state are determined. Each section of the system is considered as a control volume, using the inlet and outlet exergy to calculate the exergy destruction and exergetic efficiency. Result of exergy analysis for each component in CCGT and PCC is shown in the Table 2 and Table 3. Table 2: Exergy analysis on CCGT system Equipment Inlet Outlet Exergy Destruction (MW) Exergetic Efficiency (%) Physical Exergy (MW) Chemical Exergy (MW) Physical Exergy (MW) Chemical Exergy (MW) Compressor 0.00 0.23 14.36 0.00 15.07 49.18 Combustion Chamber 70.88 85.64 143.43 1.39 15.69 90.23 Gas Turbine 143.43 1.39 80.61 1.39 4.60 56.62 HRSG 64.04 2.39 45.86 11.95 8.63 87.01 Steam Turbine 0.99 10.56 6.23 10.56 4.70 78.14 Condenser 6.23 10.56 0.47 1.00 11.78 11.17 Table 3: Exergy analysis on PCC system Equipment Inlet Outlet Exergy Destruction (MW) Exergetic Efficiency (%) Physical Exergy (MW) Chemical Exergy (MW) Physical Exergy (MW) Chemical Exergy (MW) Absorber 4.55 305.13 4.46 169.52 135.70 56.18 Stripper 0.79 169.99 3.51 172.52 8.26 95.16 Reboiler 54.60 171.60 8.66 171.65 45.89 79.71 Condenser 3.28 0.59 0.59 0.94 5.03 23.30 Compression Train 0.55 0.93 0.04 0.93 0.51 65.37 From the result, it was found that large amount of exergy destruction in the CCGT system occurs in the combustion chamber and condenser, which are 15.69 MW and 11.78 MW, occupying over 45 % of the total destruction of the CCGT system. The exergy destruction of combustion chamber is possibly due to the fuel chemical reactions, as reflected in the chemical exergy changes between the inlet and outlet of the component. It has been reported that the exergy destruction can be reduced by increasing the inlet temperature of combustion chamber (Kong et al., 2016). For the component exergetic efficiency, combustion chamber and HRSG have relatively high efficiency of 90.23 % and 87.01 %. The exergetic efficiency of compressor is considerably lower due to the required work input from the environment. For the PCC system, the largest exergy destruction occurs in the absorber due to uneven distribution of local driving forces along the absorber (Amrollahi et al., 2011). The present analysis shows that the exergetic efficiency of the absorber is only 56.18 %. The optimal solution is an even distribution of driving forces over unit operation, with the corresponding system designed as such that the stream of solvent is split into two flows, so that these two flows enter the absorber at mid-point and top-point to make the driving force more even (Aroonwilas and Veawab, 2007). Stripper has the highest exergetic efficiency, which is about 95.16 %. The main reason is that the chemical exergy of MEA is quite high and there is only little exergy loss caused by CO2 and water transfer. Condenser has the lowest efficiency of 23.30 %. The exergetic efficiency of condenser is influenced by the ambient temperature. At 298.15 K, the temperature difference between outlet recycled water and environment is negligible, thus the specific exergy of the outlet recycled water decreases significantly. This means that the exergy of products for condenser is significantly lower than exergy of water inlet, hence the exergetic efficiency for the condenser is very low. This effect can be reduced by decreasing the ambient temperature or increasing the outlet temperature of condenser (Kong et al., 2016). 533 The exergetic efficiency of the gas turbine operating with the turbine inlet condition of 1520 K and 9.14 bar is 80.01 %, the power to fuel chemical exergy ratio is 68.82 %. Ertesvåg et al. (2005) studied the exergy analysis of CCGT and reported the power to fuel chemical exergy ratio for the turbine was 69.23 %. Their turbine inlet condition used was 15.6 bar and 1523.15 K. Study shows that the inlet pressure of gas turbine has a significant effect on the turbine’s efficiency. Decreasing the inlet pressure of gas turbine contributes to higher exergetic efficiency, as higher pressure ratio usually causes an increase inlet temperature, which means more irreversibilities will happen in the component (Reddy and Mohamed, 2007). As the inlet temperatures are fixed almost the same between these two studies, the power to fuel chemical exergy ratios are similar. 4. Conclusions Exergy analysis for the CCGT with PCC system shows the distribution of exergy destruction in the overall system and the exergetic efficiency of each components. The exergy analysis can be used to identify the component with the highest exergy destruction and the lowest exergetic efficiency. The present study focuses on the exergy analysis of CCGT with PCC unit. Results show that: (1) the lowest exergetic efficiency occurs in the condenser section of the two systems, which are 11.17 % for CCGT and 23.30 % for PCC. (2) Compression train in PCC and compressor in CCGT have low exergetic efficiency due to required work input. (3) Components with the highest exergy destruction in CCGT and PCC are the combustion chamber and absorber, due to the reactions in combustion chamber and high and uneven distribution of local driving forces in the absorber. Identification of the exergetic efficiency of each component in the combined cycle system provides the opportunity to improve the performance of the system. Further exergy analysis will be conducted on the system with selective exhaust gas recirculation to utilise the CO2 for a more efficient carbon capture process. Acknowledgments The funding from Shanghai Jiao Tong University (WF220428004) is gratefully acknowledged. References Aroonwilas, A., Veawab, A., 2007, Integration of CO2 capture unit using single and blended-amines into supercritical coal-fired power plants: implications for emission and energy management. 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