 
              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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