Superstructure-based Optimization for Design of Optimal PSA Cycles for CO 2 Capture
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1 Supersruure-asedOpmaonforDesgnof OpmalPSACylesforCO 2 Capure R. S. Kamah I. E. Grossmann L.. Begler Deparmen of Chemal Engneerng Carnege Mellon Unversy Psurgh PA 523 Marh 2
2 PSA n Nex Generaon Power Plans Need for hgh pury H 2 - Possle ehnology o apure CO2 Model Componens Sold-gas eulrum (nonlnear soherm Mass momenum (pressure and energy euaons Cyl Seady Sae Condons CO 2 Reovery and Energy Opmaon Soren properes Connevy and seps Geomery Operang ondons
3 Pressure Swng Adsorpon Skarsrom Cyle Separaon of rae omponens and also ulk gases Leverage sold-gas eulrum wh sorens (Z3X Z5A AC Perod proesses Amen ondons no solvens Energy s key operang os Wha are ssues for CO 2 separaon?
4 Pressure Swng Adsorpon Separaon of rae omponens and also ulk gases Lgh produ pressuraon Lgh Reflux Leverage sold-gas eulrum wh spealed sorens Perod proesses Amen ondons no solvens Energy s key operang os Heavy produ pressuraon Heavy reflux Wha are ssues for CO 2 separaon? Sysema way o desgn PSA yles?
5 Opme Connevy and Operang Condons N2/CO2 PSA (Reynolds Ener Rer 26 Exhausveevaluaonofylesandoperangpons smplfededmodels
6 PSA Cyle Developmen for CO 2 Capure Goals: HghCO2Pury(>95% HghCO2Reovery(>9% Lowspefpower CO2appearsasheheavyprodu Whhsepsareneededforyle developmen Ishereasysemaopmaon-ased wayodohs? Herarhyofseps-ZhangandWeley (27
7 PSA Supersruure Opmally synhese an approprae PSA yle for CO 2 apure Dfferen seps of he yle are realed hrough an opmal onrol formulaon Opmal yle oaned y maxmng CO 2 reovery feed hroughpu or power effeny Lgh Produ P ads Adsorng ed β( Expander Desorng ed - P ads and P des are he pressures spefed for oh he eds durng opmaon - Expander and ompressor aoun for pressure dfferene eween he eds and pressure hange along he yle Compressors α( P des Feed δ( Heavy Produ
8 PSA Supersruure Opons Opmally synhese an approprae PSA yle for CO 2 apure Dfferen seps of he yle are realed hrough an opmal onrol formulaon Opmal yle oaned y maxmng CO 2 reovery feed hroughpu or power effeny A Heavy Reflux A D D Cons. Pressure Heavy Reflux Feed A Co-urren Depressuraon A D Lgh Produ Purge D Heavy Produ Pressuraon Depressuraon - P ads and P des are he pressures spefed for oh he eds durng opmaon - Expander and ompressor aoun for pressure dfferene eween he eds and pressure hange along he yle Capures mulple seps and eds Compa esed o evaluae new sorens feed gases operang lms
9 PSA Model Euaons ( vc C s ( ρ ε ε ( * k 2 exp * m k k k k Py Py Py Py m m m m m s m n j j j s n j j j s ( ( v v C M d v d P w p p ε ε ε ε µ Componen mass alane LDF euaon Dual-se Langmur Isoherm Energy Balane Ergun euaon ( ( ( n pg pg w n s w pw w ps s n pg C C h d a C D h vh H D h C C R C C ρ ρ ρ ε Ideal gas C R P PSA Bed Model
10 ( ( ( (.. ( mn f δ β α δ β α φ g x f s How o handle PDEs Complee Dsreaon ( x f Complee Dsreaon ( ( ( ( (.. ( mn f δ β α δ β α φ g s Sandard NLP prolem Effen Large-sale NLP Solver x Dynam smulaon (a he opmum x x x d d f Apply Mehod of Lnes PSA Opmaon Sraegy
11 (85%/5% N 2 / CO 2 Mnme Power - Zeole 3X 85% Reovery 9% Pury CO 2
12 N 2 /CO 2 Opmaon Resuls Opmal sep mes Sep (and se Sep 2 (and se Sep 3 (and se Sep 4 (and se Opmal yle me 2 se Power onsumpon kwh/onne CO2 N2 pury 97.38% N2 reovery 98.33% CO2 pury 9% CO2 reovery 85% No. of varales 4632 No. of euaons 4622 CPU me mn. Pareo opmal urves rade-off Reovery wh Power onsumpon
13 (55%/45% H 2 /CO 2 Mnme Power 85% Reovery 85% Pury CO 2
14 Mnmum Power for Pre-Comuson Opmaon resuls No. of varales: 52 Degrees of freedom: 78 CPU me: 66.4 mn. Cyle me: se Feed flux: 96.6 kgmol/m 2 /hr Power: 46.8 kwh/onne CO 2 Full dsreaon MALAB Valdaon Sep y sep Full yle Fne volumes 4 H 2 pury 93.33% 94.4% 94.22% H 2 reovery 94.64% 93.2% 94.5% CO 2 pury 9% 9.59% 89.42% CO 2 reovery 92% 92.92% %
15 Conlusons PSAsupersruuredevelopedoevaluaePSAforCO 2 apure Opmesepseleonandoperaonsmulaneously OpmalonrolformulaonforomplexPSAyles OanhghreoveryandpuryforH 2 /CO 2 N 2 /CO 2 Applaons AssessfeaslyofPSAasapureehnology Dfferenapplaons(pre-/pos-omuson Proessesedoevaluaenewsorens Inegraonwhhyrdseparaons/proesses OngongWork Drelyomnemoredealedsmulaonwhnew NLPalgorhms(rSQPBOBYQA leadsoeermorerealsresuls Evaluaelargermul-omponenasesudes ValdaesupersruurewhshoruPSAmodels
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