Optimisation of post combustion carbon dioxide capture by use of a facilitated carrier membrane Natsayi Chiwaye, Thokozani Majozi and Michael Daramola , * School of Chemical and Metallurgical Engineering, University of the Witwatersrand, 1 Jan Smuts Avenue, Braamfontein, Johannesburg, 2000, South Africa * Corresponding author: michael.daramola@wits.ac.za; Tel +27117177536
Outline Background and Motivation Problem Statement Model Development Case Study Conclusion 1 1
Background and Motivation Post combustion capture Electricity Generation Fuel Steam Boiler N 2 Gas separation problem CO 2 capture unit Flue gas Air CO 2 70% N 2 4-15% CO 2 1 bar Membranes: Advantages Draw backs of chemical absorption by amines Less energy intensive Huge energy demand during regeneration of amine No moving parts hence low maintenance Corrosive to equipment Relatively more environmentally friendly The solvent degrades in the presence of common Membranes: Challenges flue gas Driving force Other technologies Low CO 2 concentration in flue gas, low feed pressure Adsorbents Need for membranes with high CO2 permeance Membranes And selectivity 3 2
Background and Motivation Fixed site carrier facilitated membrane Transport of CO 2 across the membrane is due to diffusion and the reversible reaction of CO 2 and NH 2 groups in the presence of H 2 O. FSC membranes enhanced permeance and increased CO 2 selectivity Therefore results in lower cost of CO 2 capture FSC membrane application considerations Permeance highly dependent on relative humidity Water vapour as sweep is suitable Water highly permeable 3 4
Background and Motivation Hussain & Hagg He & Hagg He et al., (2015) Current Study 2010 (2014) Process flow Predetermined Predetermined Predetermined Superstructure based model Membrane stages 2 2 2 Multi Components 4 4 2 4 Pressure ratio fixed fixed fixed Variable Relative humidity - fixed - variable Recycle stream - - - Permeate pressure Vacuum & sweep vacuum vacuum Vacuum & sweep generation gas CO 2 /H 2 O selectivity 4.4e8 1 - 1 4 4
Aim & Objectives Aim To develop a mathematical model for the optimal design of FSC process flow system minimising the total annualized cost in order to further reduce the cost of CO 2 capture by FSC membrane. Objectives To develop a comprehensive FSC superstructure To determine the effect of varying pressure ratio on the total cost of CO 2 capture To investigate the effect of permeate pressure generation by vacuum and, or sweep gas The feasibility of this proposed system is evaluated by optimizing the process based on the minimum total annualised cost of capturing CO 2 . 5 5
Problem Statement Given: Flue gas of known flowrate, components, temperature and pressure Desired permeate purity and desired capture ratio Permeance and selectivity of the membrane Determine: The membrane process system that minimises the total annualised costs for the carbon capture for target separation factor. The optimum operating and design conditions of the membrane units: flowrate of streams, area of the membrane, permeate and retentate pressure, Relative humidity sweep gas flow rate and compressor and vacuum pumps power consumption. 6 6
Model Development Model Development Major assumptions Concentration polarisation on the membrane is negligible The pressure drop along the membrane is negligible. The overall permeance of component is not affected by pressure nor by concentration variation Counter-current flow is considered. Constraints Gas permeation Mass balances Energy consumption of compressors, vacuum pumps and energy recovered by expanders Heat transfer area Separation targets- capture ratio and product purity Objective function 8
Flue gas Flue gas Residue N 2 H 2 O Final residue Retantate recycle Flue gas Retantate recycle Retantate recycle Residue Retantate Retantate Retantate Feed Retantate Feed Superstructure Membrane 1 Membrane 2 Membrane 1 Sweep Sweep Permeate Permeate Water Water Permeate Permeate vapour vapour sweep sweep Permeate Permeate regenetation regenetation H 2 O H 2 O Permeate Permeate H 2 O H 2 O Permeate Permeate Permeate Permeate Permeate recycle Permeate recycle Permeate recycle Product CO 2 7 Permeate recycle Final product Product H 2 O
Model Development Model Development rto R i n , oa R Major mass balance constraints i f f R x ft R i n i rto Feed mixer R rtr R i n , i n rr , , f R i n , rtr R f s n ff t r t rr t p m rm p R x Rx Rx R i n rr , , f x i , n n i n , , r r i n n , , p r i n rt R rtr n R bw i n , n n R i n rr , , i n , fsn fsn fsn R R fs R R rt R i n , i n , i n , i n , i n , Membrane 1 Membrane Bubble column pmr R i n , sg R pms R i n , i n , f s f s n b w Water R R R , iI iH O pmr R vapour i , n i , n i , n 2 i n , pms sweep R regeneration i n , pm R i n , H O H O 2 Balance on permeate condenser / sweep 2 pm pm R R i n , i n , gas recovery pmr R pmr R i n pr , , i n , pos R p m p m s s g w o RRRRn n ; , iI iH O opw op i n , R R op pos R i i , n i , n i , n i , n 2 R i i i n , p m p m s w o RR R n n ; , iI iH O H O i , n i , n i , n 2 2 9 10
Model Development Model Development Permeate pressure range for sweep Permeate pressure range for vacuum Allowable membrane area Relative humidity Sweep gas flow rate Separation targets- capture ratio and product purity Target capture ratio Desired purity 11 12
Model Development Objective function Cost of electricity OPEX Cost of labour Purchase and installation cost of operational units CAPEX m i n T A C O P E X C A P E X 12 13
Case Study Case study (He & Hägg, (2014) ) Parameter Value Techno economic feasibility study of CC by Flue gas flow rate (kmol/s) 26.6111 FSC membrane Flue gas temperature (°C) 50 Predetermined two membrane stage process Mole fractions of components CO 2 0.137 flow N 2 0.7289 Cascading process flow, no recycle streams H 2 O, 0.0365 O 2 0.0973 Parameter Value Membrane Temperature (°C) 35 Membrane permeance of CO 2 (kmol/m 2 bar.s) 2.48E-05 CO 2 /N 2 selectivity 135 Permeate pressure (bar) 0.25 CO 2 /H 2 O selectivity 1 Retentate pressure (bar) 2 CO 2 /O 2 selectivity 30 13 14
Results and Discussions Results and Discussion Scenario 1 Scenario 2 Scenario 3 Scenario 4 Process flow Predetermined Model determined Model Model determined determined Membrane stages 2 3 3 3 Pressure ratio Parameter Variable Variable Variable Relative humidity Parameter variable Variable variable Permeate pressure Vacuum Vacuum Combination Sweep gas Recycle streams - 14 15
Results & Discussion Results and Discussion Scenario 1 2 3 4 Scenario 1 2 3 4 Number of mem stages 2 3 3 3 Specific membrane area 7708.1 3348.2 3526.8 3911.0 Capture ratio (%) 90 90 90 90 (m 2 /tCO 2 .h) CO 2 product purity (%) 95 95 95 95 Heat transfer area (m 2 ) 78605.9 112319.2 67405.9 34932.7 TAC (M $) 174,7 144.1 141.8 144.4 CO 2 capture rate (ton/h) 521 521 521.3 521.3 Operating costs, (M $) 46.5 44.8 50.3 52.6 Capital costs (M $) 128,2 99.6 91.5 91.7 Specific power 296 286 321 292 Total membrane (Mm 2 ) 4.05 1.75 1.83 2.04 consumption (kWh /ton) Total net power (MW) 154,6 149.0 167.2 176.1 Specific energy (GJ/tCO 2 ) 1.065 1.03 1.15 1.22 Total power (MW) 208 224 217.5 223.7 TLC ($/tCO 2 ) 44.7 36.8 36.3 36.9 Power recovered by 53.4 75.1 76.9 47.6 % saving on TLC - 17.6 18.7 17.4 expander (MW) 15 16
Results & Discussion Conclusion Integration and optimisation will help in making the CCS by FSC membranes more economical Combination of sweep and vacuum give optimum flow Membrane area decrease by 56.7% Cost of capture is reduced by 17%. 16 20
Thank you Natsayi Chiwaye, Thokozani Majozi and Michael Daramola* School of Chemical and Metallurgical Engineering, University of the Witwatersrand, 1 Jan Smuts Avenue, Braamfontein, Johannesburg, 2000, South Africa * Corresponding author: michael.daramola@wits.ac.za Tel +2711 717 7536
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