0-0- A cogeneration plant i to generate poer and proce eat. art o te team extracted rom te turbe at a relatively ig preure i ued or proce eatg. e poer produced and te utilization actor o te plant are to be determed. Aumption Steady operatg condition exit. Ketic and potential energy cange are negligible. Analyi From te team table (able A-, A-, and A-, v v pi, v ( ( 0.000 m /kg( 00 0 ka 0.0 kj/kg @ 0 ka @ 0 ka + pi, @ 0. Ma Mixg camber: E E E or,. kj/kg 0.000 m /kg.+ 0.0. kj/kg 0. kj/kg 0 (teady ytem 0 en, i i pii, e e + v v E @.0 kj/kg kj ka m E + Boiler (.0(. + (.0( 0. v ( ( 0.000 m /kg( 000 00 ka. kj/kg + pii, 0 0.000 m /kg.0 +.. kj/kg kj ka m Ma. kj/kg 00 C.000 kj/kg K 0. Ma. kj/kg.000 0. 0 ka x 0.0 g. + x.+ 0.0. W W, W p, g II roce eater.0 kj/kg Q ( (. kj/kg Ma Q 0. Ma Q proce ( + ( ( 0 kg/(.. kj/kg + (. kg/(.. kj/kg + (. kg/( 0.0 kj/kg + ( 0 kg/(. kj/kg W, pi, W p, pii,,0 0., Alo, Q m ( (. kg/(. 0. kj/kg, kw and Q kw proce ε u W ( ( 0 kg/(.. + Q Q proce, +,.%,, kw I 0 ka urbe,0 kw 0. kw Condener
0-0-E A large ood-proceg plant require team at a relatively ig preure, ic i extracted rom te turbe o a cogeneration plant. e rate o eat traner to te boiler and te poer put o te cogeneration plant are to be determed. Aumption Steady operatg condition exit. Ketic and potential energy cange are negligible. Analyi (a From te team table (able A-E, A-E, and A-E, v v pi, v (.0 Btu/lbm 0.0 t /lbm / η (0.0 t /lbm(0 pia 0. Btu.0 pia t 0. Btu/lbm @ pia @ pia + pi, @ 0 pia p.0 + 0.. Btu/lbm. Btu/lbm Mixg camber: E E E 0 (teady 0 or, ytem pii, E E m m + m i i e e + v v @ ((. + ((. Boiler II v ( / η p Btu ( 0.0 t /lbm( 000 0 pia /( 0.. Btu/lbm +. Btu/lbm pii, 000 pia 000 F 0 pia pia x 0.0 /lbm. +.. Btu/lbm t 0. Btu/lbm. Btu/lbm R 0.0 Btu/lbm g + x. Btu/lbm.0 pia t. 0. 0...0 + g roce eater 000 pia 0 pia Q proce pia ( 0.( 0.. Btu/lbm I Q urbe en, Q m ( ( lbm/( 0.. Btu/lbm Btu/ (b W, η W, η [ ( + ( ] ( 0.( [ lbm/( 0. 0.0 Btu/lbm + ( lbm/( 0.0. Btu/lbm] Btu/ 0 kw Condener
0-0- A cogeneration plant a to mode o operation. In te irt mode, all te team leavg te turbe at a relatively ig preure i red to te proce eater. In te econd mode, 0 percent o te team i red to te proce eater and remag i expanded to te condener preure. e poer produced and te rate at ic proce eat i upplied te irt mode, and te poer produced and te rate o proce eat upplied te econd mode are to be determed. Aumption Steady operatg condition exit. Ketic and potential energy cange are negligible. Analyi (a From te team table (able A-, A-, and A-, v v pi, pii, v ( ( 0.000 m /kg( 0,000 0 ka 0. kj/kg v ( ( 0.000 m /kg( 0,000 00 ka 0. kj/kg v v @ 0 ka @ 0 ka + pi, @ 0. Ma @ 0. Ma + pii,. kj/kg 0.000. + 0.. kj/kg 0.0 0.000 m kj/kg m /kg /kg kj ka m kj ka m 0.0 + 0. 0. kj/kg Boiler II roce eater I urbe Conden. Mixg camber: 0 (teady E E E 0 E E or, ytem m m m m + m i i e e + ( (. + ( ( 0. 0 Ma 0 C 0 ka x 0. Ma x. kj/kg. kj/kg K g + x. kj/kg..0 0..0 0.0 + ( 0.( 0.0. 0.0 0.0 g.0 + x. + g g ( ( (. kj/kg ( 0.0(..0 kj/kg Wen te entire team i red to te proce eater, W kg/.. kj/kg kw Q, proce ( ( kg/(. 0.0 kj/kg kw (b Wen only 0% o te team i red to te proce eater, W, ( + ( ( kg/(.. kj/kg + ( kg/(..0 kj/kg kw Q proce ( ( kg/(. 0.0 kj/kg kw
0-0-0 A cogeneration plant modiied it regeneration i to generate poer and proce eat. e ma lo rate o team troug te boiler or a poer put o MW i to be determed. Aumption Steady operatg condition exit. Ketic and potential energy cange are negligible. Analyi From te team table (able A-, A-, and A-, v v pi, pii, v( ( 0.000 m /kg( 00 0 ka 0. kj/kg v v v ( ( 0.000 m /kg( 000 00 ka.0 kj/kg @ 0 ka @ 0 ka + pi, @ 0. Ma + Ma 0 C 0 ka x pii, 0. Ma x. kj/kg 0.000 m /kg. + 0..0 kj/kg @ 0. Ma 0. kj/kg 0.000 m /kg kj ka m kj ka m 0. +.0 0. kj/kg 0. kj/kg. kj/kg K g + x.. 0.. 0. + Boiler ( 0.(.. 0. 0.0 g. + x. + g g II ( 0.0(.. kj/kg en, per kg o team log troug te boiler, e ave u,, p, W ( + 0.( ( 0.. kj/kg + ( 0.(.0 kj/kg 0.pI, +. kj/kg ( 0.( 0. kj/kg + (.0 kj/kg, p, pii,...0.. kj/kg,000 kj/. kg/. kj/kg,,. kj/kg kj/kg Ma 0. Ma 0 ka roce eater I urbe Condener
0-0- EES roblem 0-0 i reconidered. e eect o te extraction preure or removg team rom te turbe to be ued or te proce eater and open eedater eater on te required ma lo rate i to be vetigated. Analyi e problem i olved ug EES, and te olution i given belo. "Input Data" y 0. "raction o team extracted rom turbe or eedater eater and proce eater" [] 000 [ka] [] 0 [C] _extract00 [ka] [] _extract _cond0 [ka] [] _cond W_dot_ [MW]*Convert(MW, kw Eta_turb 00/00 "urbe ientropic eiciency" Eta_pump 00/00 "ump ientropic eiciency" [] [] [][] [][] [] [] [][] [] [] "Condener exit pump or ump analyi" Fluid$'Steam_IAWS' []entalpy(fluid$,[],x0 {Sat'd liquid} vvolume(fluid$,[],x0 []entropy(fluid$,[],x0 []temperature(fluid$,[],x0 _pump_v*([]-[]"sssf ientropic pump ork aumg contant peciic volume" _pump_pump_/eta_pump "Deition o pump eiciency" []+_pump [] "Steady-lo conervation o energy" []entropy(fluid$,[],[] []temperature(fluid$,[],[] "Open Feedater Heater analyi:" z*[] + (- y*[] (- y + z*[] "Steady-lo conervation o energy" []entalpy(fluid$,[],x0 []temperature(fluid$,[],x0 "Condenate leave eater a at. liquid at []" []entropy(fluid$,[],x0 "roce eater analyi:" (y - z*[] q_proce + (y - z*[] "Steady-lo conervation o energy" Q_dot_proce m_dot*(y - z*q_proce"[kw]" []entalpy(fluid$,[],x0 []temperature(fluid$,[],x0 "Condenate leave eater a at. liquid at []" []entropy(fluid$,[],x0 "Mixg camber at,, and :" (y-z*[] + (-y+z*[] *[] "Steady-lo conervation o energy" []temperature(fluid$,[],[] "Condenate leave eater a at. liquid at []"
0- []entropy(fluid$,[],[] "Boiler condenate pump or ump analyi" vvolume(fluid$,[],x0 _pump_v*([]-[]"sssf ientropic pump ork aumg contant peciic volume" _pump_pump_/eta_pump "Deition o pump eiciency" []+_pump [] "Steady-lo conervation o energy" []entropy(fluid$,[],[] []temperature(fluid$,[],[] "Boiler analyi" q_ + [][]"SSSF conervation o energy or te Boiler" []entalpy(fluid$, [], [] []entropy(fluid$, [], [] "urbe analyi" [][] []entalpy(fluid$,[],[] []temperature(fluid$,[],[] [][]-Eta_turb*([]-[]"Deition o turbe eiciency or ig preure tage" []temperature(fluid$,[],[] []entropy(fluid$,[],[] [][] []entalpy(fluid$,[],[] []temperature(fluid$,[],[] [][]-Eta_turb*([]-[]"Deition o turbe eiciency or lo preure tage" []temperature(fluid$,[],[] []entropy(fluid$,[],[] [] y*[] + (- y*[] + _turb "SSSF conervation o energy or turbe" "Condener analyi" (- y*[]q_+(- y*[]"sssf Firt La or te Condener" "Cycle Statitic" turb - ((- y*_pump+ _pump Eta_t_/q_ W_dot_ m_dot * _ extract [ka] η t m [kg/] Q proce [kw] 00 0.. 0 00 0.. 00 0.0. 0 00 0.. 00 0.0. 00 0.0. [ C] Steam 00 00 00 00 00 000 ka 00,, 00 ka 00 0 ka 0 0 0 [kj/kg-k]
0- m [kg/].... 00 00 00 00 00 00 extract [ka] 0000 00 Q proce [kw] 00 00 00 00 00 00 00 00 00 00 extract [ka] 0. 0. 0. 0. 0. η t 0. 0. 0. 0.0 00 00 00 00 00 00 extract [ka]
0-0-E A cogeneration plant i to generate poer ile meetg te proce team requirement or a certa dutrial application. e poer produced, te rate o proce eat upply, and te utilization actor o ti plant are to be determed. Aumption Steady operatg condition exit. Ketic and potential energy cange are negligible. Analyi (a From te team table (able A-E, A-E, and A-E, @ 0 F 0. Btu/lbm 00 pia 0.0 Btu/lbm 00 F. Btu/lbm R 0 pia W (b Q. Btu/lbm ( ( lbm/( 0.0. Btu/ 0 kw Q proce ii ee + proce Btu/lbm ( ( 0.0 + ( (. ( ( 0.,0 Btu/ e e ii ( ( 0. ( ( 0.0 ( (.,0 Btu/ (c ε u ce all te energy i utilized. Boiler roce eater 00 pia 0 pia,, urbe
0-0 0- A cogeneration plant i to generate poer and proce eat. art o te team extracted rom te turbe at a relatively ig preure i ued or proce eatg. e ma lo rate o team tat mut be upplied by te boiler, te poer produced, and te utilization actor o te plant are to be determed. Aumption Steady operatg condition exit. Ketic and potential energy cange are negligible. Boiler roce eater urbe Condener Ma Q 0. Ma Q proce II I Q 0 ka Analyi From te team table (able A-, A-, and A-, v v pi, v ( ( 0.000 m /kg( 00 0 ka 0. kj/kg Mixg camber: @ 0 ka @ 0 ka + pi, @ 0. Ma. kj/kg 0.000 m /kg.+ 0..0 kj/kg 0. kj/kg kj ka m m + ( 0.(0. kj/kg + (0.(.0 kj/kg ( v pii, v @.0 kj/kg v ( ( 0.000 m /kg( 000 00 ka. kj/kg + Ma 00 C pii, 0. Ma 0 ka 0.000 m /kg.0 +.. kj/kg. kj/kg.000 kj/kg K. kj/kg. kj/kg kj ka m.0 kj/kg
0- Q proce 00 kj/ ( (. 0..0 kg/ kj/kg i i one-ourt o te ma log troug te boiler. u, te ma lo rate o team tat mut be upplied by te boiler become m (.0 kg/. kg/ m (b Cycle analyi: (c en, and W, W Q W p, ( + ( (.0 kg/(.. kj/kg + (. -.0 kg/(..,0 kw (. -.0 kg/( 0. kj/kg + (. kg/(. kj/kg W W ε u, pi, + W p, pii,,0, kw ( (. kg/(.. + Q Q proce, + 00 0..% 0, 0, kw. kw kj/kg Combed Ga-Vapor oer Cycle 0-C e energy ource o te team i te ate energy o te exauted combution gae. 0-C Becaue te combed ga-team cycle take advantage o te deirable caracteritic o te ga cycle at ig temperature, and toe o team cycle at lo temperature, and combe tem. e reult i a cycle tat i more eicient tan eiter cycle executed operated alone.
0-0- A combed ga-team poer cycle i conidered. e toppg cycle i a ga-turbe cycle and te bottomg cycle i a imple ideal Ranke cycle. e ma lo rate o te team, te poer put, and te termal eiciency o te combed cycle are to be determed. Aumption Steady operatg condition exit. Ketic and potential energy cange are negligible. Air i an ideal ga it contant peciic eat. ropertie e propertie o air at room temperature are c p.00 kj/kgk and k. (able A-. Analyi (a e analyi o ga cycle yield ( k / k 0. /. ( 00 K(. K 00 K W W W Q C,ga,ga,ga air ( airc p ( ( kg/(.00 kj/kg K( 00. air ( airc p ( ( kg/(.00 kj/kg K(. 00 ( k ( 00K air ( airc p ( ( kg/(.00 kj/kg K( 00. W,ga W / k C,ga 0. /.. K,,00 kw From te team table (able A-, A-, and A-, @ ka. kj/kg v v 0.000 m /kg pi, v @ ka K, kw K 00 kw K, kw ( ( 0.000 m /kg( 0,000 ka + ka pi, 0 Ma 00 C Notg tat Q W E E E x ke pe 0 (teady ytem. + 0..0 kj/kg 0.0 kj/kg. kj/kg K. 0. 0. g. + x. + g 00 K kj ka m Q 0 Ma ( 0.(. 0. kj/kg GAS CYCLE 0 K SEAM CYCLE ka Q 0. kj/kg 00 C 0 or te eat excanger, te teady-lo energy balance equation yield 0 E E ii ee ( air ( ( c p (.00 kj/kg K(. 0 air air ( 0.0.0 kj/kg (b W,team ( (. kg/( 0.0 0. kj/kg W (. kg/( 0. kj/kg. kw and W W p,team,team W p,team W p,team. kw W + W + kw,team,ga W kw (c η t.% Q, kw K kw ( kg/. kg/
0-0- [Alo olved by EES on encloed CD] A 0-MW combed ga-team poer plant i conidered. e toppg cycle i a ga-turbe cycle and te bottomg cycle i an ideal Ranke cycle it an open eedater eater. e ma lo rate o air to team, te required rate o eat put te combution camber, and te termal eiciency o te combed cycle are to be determed. Aumption Steady operatg condition exit. Ketic and potential energy cange are negligible. Air i an ideal ga it variable peciic eat. Analyi (a e analyi o ga cycle yield (able A- r 0 r 00 K 00 K 0 r r 0 0 K r ( (. 00. kj/kg. 0 r 0. kj/kg 0. ( 0.. 0.. 0 kj/kg From te team table (able A-, A-, A-, v v pi, pii,. kj/kg v ( ( 0.000 m /kg( 00 0 ka 0. kj/kg v v @ 0 ka @ 0 ka + pi,. kj/kg 0.000 m /kg. kj/kg kj ka m. + 0..0 kj/kg v( ( 0.000 m /kg(,000 00 ka. kj/kg @ 0. Ma @ 0. Ma + pi, 0. kj/kg 0.000 m /kg 0. +.. kj/kg kj ka m 00 K 00 K Q Ma GAS CYCLE Q 0 0 K SEAM CYCLE 0. Ma 0 ka 00 C Ma 00 C. kj/kg. kj/kg K 0. Ma x 0 ka x..0 0. g. + x 0. + ( 0.( 0.. 0.0 0. g.0 + x. + g g. kj/kg ( 0.(. 0. kj/kg Notg tat Q W ke pe 0 or te eat excanger, te teady-lo energy balance equation yield
0- E E E i air i E E 0 (teady ytem e e 0 ( (...0.0 air. kg air / kg team (b Notg tat Q W ke pe 0 or te open FWH, te teady-lo energy balance equation yield u, E E E y E E 0 (teady ytem 0 ( y ( i i mee m + m m y + +.,team,ga 0..0 0...0.. e ork put per unit ma o ga i and ( te raction o team extracted ( y(.+ ( 0.(. 0.. kj/kg p, ( y p, I p, II ( 0.( 0... kj/kg C, ( 0 (. (. 00.. kj/kg..,ga +,team. + Q air W (.. kj/kg 0,000 kj/. kg/. kj/kg ( (. kg/(.. kj/kg 0, kw 0 W 0,000 kw (c ηt.% Q 0, kw air
0-0- EES roblem 0- i reconidered. e eect o te ga cycle preure ratio on te ratio o ga lo rate to team lo rate and cycle termal eiciency i to be vetigated. Analyi e problem i olved ug EES, and te olution i given belo. "Input data" [] 00 [K] "Ga compreor let" []. [ka] "Aumed air let preure" "ratio " "reure ratio or ga compreor" [0] 00 [K] "Ga turbe let" [] 0 [K] "Ga exit temperature rom Ga-to-team eat excanger " [] [] "Aumed air exit preure" W_dot_0 [MW] Eta_comp.0 Eta_ga_turb.0 Eta_pump.0 Eta_team_turb.0 [] 000 [ka] "Steam turbe let" [] (00+ "[K]" "Steam turbe let" [] 00 [ka] "Extraction preure or team open eedater eater" [] 0 [ka] "Steam condener preure" "GAS OWER CYCLE ANALYSIS" "Ga Compreor anayi" []ENROY(Air,[],[] [] "For te ideal cae te entropie are contant acro te compreor" [] ratio*[] temperature(air,,[]" i te ientropic value o [] at compreor exit" Eta_comp _ga_comp_ien/_ga_comp "compreor adiabatic eiciency, _comp > _comp_ien" [] + _ga_comp_ien "SSSF conervation o energy or te ientropic compreor, aumg: adiabatic, kepe0 per unit ga ma lo rate kg/" []ENHALY(Air,[] ENHALY(Air, [] + _ga_comp []"SSSF conervation o energy or te actual compreor, aumg: adiabatic, kepe0" []temperature(air,[] []ENROY(Air,[],[] "Ga Cycle External eat excanger analyi" [] + q_ [0]"SSSF conervation o energy or te external eat excanger, aumg W0, kepe0" [0]ENHALY(Air,[0] [0][] "Aume proce -0 i SSSF contant preure" Q_dot_"MW"*000"kW/MW"m_dot_ga*q_ "Ga urbe analyi" [0]ENROY(Air,[0],[0] [0] "For te ideal cae te entropie are contant acro te turbe" [] [0] /ratio temperature(air,,[]" i te ientropic value o [] at ga turbe exit" Eta_ga_turb _ga_turb /_ga_turb_ien "ga turbe adiabatic eiciency, _ga_turb_ien > _ga_turb" [0] _ga_turb_ien + "SSSF conervation o energy or te ientropic ga turbe, aumg: adiabatic, kepe0"
0- ENHALY(Air, [0] _ga_turb + []"SSSF conervation o energy or te actual ga turbe, aumg: adiabatic, kepe0" []temperature(air,[] []ENROY(Air,[],[] "Ga-to-Steam Heat Excanger" "SSSF conervation o energy or te ga-to-team eat excanger, aumg: adiabatic, W0, kepe0" m_dot_ga*[] + m_dot_team*[] m_dot_ga*[] + m_dot_team*[] []ENHALY(Air, [] []ENROY(Air,[],[] "SEAM CYCLE ANALYSIS" "Steam Condener exit pump or ump analyi" Fluid$'Steam_IAWS' [] [] [][] []entalpy(fluid$,[],x0 {Saturated liquid} vvolume(fluid$,[],x0 []entropy(fluid$,[],x0 []temperature(fluid$,[],x0 _pump_v*([]-[]"sssf ientropic pump ork aumg contant peciic volume" _pump_pump_/eta_pump "Deition o pump eiciency" []+_pump [] "Steady-lo conervation o energy" []entropy(fluid$,[],[] []temperature(fluid$,[],[] "Open Feedater Heater analyi" y*[] + (-y*[] *[] "Steady-lo conervation o energy" [][] []entalpy(fluid$,[],x0 "Condenate leave eater a at. liquid at []" []temperature(fluid$,[],x0 []entropy(fluid$,[],x0 "Boiler condenate pump or ump analyi" [] [] vvolume(fluid$,[],x0 _pump_v*([]-[]"sssf ientropic pump ork aumg contant peciic volume" _pump_pump_/eta_pump "Deition o pump eiciency" []+_pump [] "Steady-lo conervation o energy" []entropy(fluid$,[],[] []temperature(fluid$,[],[] _team_pump (-y*_pump+ _pump "otal team pump ork put/ ma team" "Steam urbe analyi" []entalpy(fluid$,[],[] []entropy(fluid$,[],[] [] entalpy(fluid$,,[] temperature(fluid$,,[] [][]-Eta_team_turb*([]-"Deition o team turbe eiciency" []temperature(fluid$,[],[] []entropy(fluid$,[],[] [] entalpy(fluid$,,[] temperature(fluid$,,[] [][]-Eta_team_turb*([]-"Deition o team turbe eiciency" []temperature(fluid$,[],[]
0- []entropy(fluid$,[],[] "SSSF conervation o energy or te team turbe: adiabatic, neglect ke and pe" [] _team_turb + y*[] +(-y*[] "Steam Condener analyi" (-y*[]q_+(-y*[]"sssf conervation o energy or te Condener per unit ma" Q_dot_*Convert(MW, kwm_dot_team*q_ "Cycle Statitic" MaRatio_gatoteam m_dot_ga/m_dot_team W_dot_*Convert(MW, kwm_dot_ga*(_ga_turb-_ga_comp+ m_dot_team*(_team_turb - _team_pump"deition o te cycle ork" Eta_tW_dot_/Q_dot_*Convert(, % "Cycle termal eiciency, percent" Br(m_dot_ga*_ga_comp + m_dot_team*_team_pump/(m_dot_ga*_ga_turb + m_dot_team*_team_turb "Back ork ratio" W_dot team m_dot_team*(_team_turb - _team_pump W_dot ga m_dot_ga*(_ga_turb - _ga_comp NetWorkRatio_gatoteam W_dot ga/w_dot team ratio MaRatio gatoteam W ga [kw] W team [kw] η t [%] NetWorkRatio gatoteam 0.0 00..0. 0 00 0...0..0. 0 00...00 0...... 0.. 0....0... 00.. 0... [K] 00 00 00 00 00 00 Combed Ga and Steam oer Cycle Ga Cycle 000 Steam Cycle 00 00 00 00 000 ka 00, 00 ka 00, 0 ka 00 00 0.0..........0 0 [kj/kg-k]
0-.. η t [%].. ratio. W dot,ga / W dot,team v Ga reure Ratio.0 NetWorkRatio gatoteam..0..0..0..0 ratio Ratio o Ga Flo Rate to Steam Flo Rate v Ga reure Ratio.0.0.0 MaRatio gatoteam.0 0.0.0.0.0.0.0 ratio
0-0- A 0-MW combed ga-team poer plant i conidered. e toppg cycle i a ga-turbe cycle and te bottomg cycle i a nonideal Ranke cycle it an open eedater eater. e ma lo rate o air to team, te required rate o eat put te combution camber, and te termal eiciency o te combed cycle are to be determed. Aumption Steady operatg condition exit. Ketic and potential energy cange are negligible. Air i an ideal ga it variable peciic eat. Analyi (a Ug te propertie o air rom able A-, te analyi o ga cycle yield η 0 r η r C 00 K 00 K 0 0 0 r r 0 ( (. r 00. kj/kg. 0 0 ( 0.. 0 + 00. 0. kj/kg r ( / ηc + (. 00. / (. kj/kg 0.. 0 η.. kj/kg ( 0 ( 0. (. kj/kg 0.. kj/kg.. Q GAS CYCLE 0 SEAM CYCLE Q 0 K. 0 kj/kg From te team table (able A-, A-, and A-, v v pi, v ( ( 0.000 m /kg( 00 0 ka 0. kj/kg @ 0 ka @ 0 ka + pi,. kj/kg 0.000 m /kg kj ka m. + 0..0 kj/kg v pii, v v ( ( 0.000 m /kg(,000 00 ka. kj/kg @ 0. Ma @ 0. Ma + pi, 0. kj/kg 0.000 m /kg kj ka m 0. +.. kj/kg Ma 00 C. kj/kg. kj/kg K
0-0 0. Ma x η 0 ka η x g + x g + x..0 0.. 0. + ( 0.( 0. (. ( 0.(... 0.0 0.0.0. + η g η g ( 0.0(.. kj/kg 0. kj/kg. kj/kg (. ( 0.(. 0.. kj/kg Notg tat Q W ke pe 0 or te eat excanger, te teady-lo energy balance equation yield E E E i air i E E 0 (teady ytem e e 0 ( ( air.....0 kg air / kg team (b Notg tat Q W ke pe 0 or te open FWH, te teady-lo energy balance equation yield u, E E y η E 0 (teady ytem 0 E E ( y ( i i mee m + m m y +,team 0..0 0...0 ( te raction o team extracted [ + ( y( ] ( 0. [.. + ( 0.(.. ]. kj/kg p, ( y p,i p,ii. ( 0.( 0... kj/kg C, ( 0 (.. ( 0. 00.. kj/kg,ga e ork put per unit ma o ga i.,ga +.,team +. W 0,000 kj/. kj/kg air. kg/ (.. kj/kg and Q m ( (. kg/(. 0. kj/kg,0 kw air 0 W 0,000 kw (c η t.% Q,0 kw
0-0-0 EES roblem 0- i reconidered. e eect o te ga cycle preure ratio on te ratio o ga lo rate to team lo rate and cycle termal eiciency i to be vetigated. Analyi e problem i olved ug EES, and te olution i given belo. "Input data" [] 00 [K] "Ga compreor let" []. [ka] "Aumed air let preure" "ratio " "reure ratio or ga compreor" [0] 00 [K] "Ga turbe let" [] 0 [K] "Ga exit temperature rom Ga-to-team eat excanger " [] [] "Aumed air exit preure" W_dot_0 [MW] Eta_comp 0. Eta_ga_turb 0. Eta_pump.0 Eta_team_turb 0. [] 000 [ka] "Steam turbe let" [] (00+ "K" "Steam turbe let" [] 00 [ka] "Extraction preure or team open eedater eater" [] 0 [ka] "Steam condener preure" "GAS OWER CYCLE ANALYSIS" "Ga Compreor anayi" []ENROY(Air,[],[] [] "For te ideal cae te entropie are contant acro te compreor" [] ratio*[] temperature(air,,[]" i te ientropic value o [] at compreor exit" Eta_comp _ga_comp_ien/_ga_comp "compreor adiabatic eiciency, _comp > _comp_ien" [] + _ga_comp_ien "SSSF conervation o energy or te ientropic compreor, aumg: adiabatic, kepe0 per unit ga ma lo rate kg/" []ENHALY(Air,[] ENHALY(Air, [] + _ga_comp []"SSSF conervation o energy or te actual compreor, aumg: adiabatic, kepe0" []temperature(air,[] []ENROY(Air,[],[] "Ga Cycle External eat excanger analyi" [] + q_ [0]"SSSF conervation o energy or te external eat excanger, aumg W0, kepe0" [0]ENHALY(Air,[0] [0][] "Aume proce -0 i SSSF contant preure" Q_dot_"MW"*000"kW/MW"m_dot_ga*q_ "Ga urbe analyi" [0]ENROY(Air,[0],[0] [0] "For te ideal cae te entropie are contant acro te turbe" [] [0] /ratio temperature(air,,[]" i te ientropic value o [] at ga turbe exit" Eta_ga_turb _ga_turb /_ga_turb_ien "ga turbe adiabatic eiciency, _ga_turb_ien > _ga_turb" [0] _ga_turb_ien + "SSSF conervation o energy or te ientropic ga turbe, aumg: adiabatic, kepe0"
0- ENHALY(Air, [0] _ga_turb + []"SSSF conervation o energy or te actual ga turbe, aumg: adiabatic, kepe0" []temperature(air,[] []ENROY(Air,[],[] "Ga-to-Steam Heat Excanger" "SSSF conervation o energy or te ga-to-team eat excanger, aumg: adiabatic, W0, kepe0" m_dot_ga*[] + m_dot_team*[] m_dot_ga*[] + m_dot_team*[] []ENHALY(Air, [] []ENROY(Air,[],[] "SEAM CYCLE ANALYSIS" "Steam Condener exit pump or ump analyi" Fluid$'Steam_IAWS' [] [] [][] []entalpy(fluid$,[],x0 {Saturated liquid} vvolume(fluid$,[],x0 []entropy(fluid$,[],x0 []temperature(fluid$,[],x0 _pump_v*([]-[]"sssf ientropic pump ork aumg contant peciic volume" _pump_pump_/eta_pump "Deition o pump eiciency" []+_pump [] "Steady-lo conervation o energy" []entropy(fluid$,[],[] []temperature(fluid$,[],[] "Open Feedater Heater analyi" y*[] + (-y*[] *[] "Steady-lo conervation o energy" [][] []entalpy(fluid$,[],x0 "Condenate leave eater a at. liquid at []" []temperature(fluid$,[],x0 []entropy(fluid$,[],x0 "Boiler condenate pump or ump analyi" [] [] vvolume(fluid$,[],x0 _pump_v*([]-[]"sssf ientropic pump ork aumg contant peciic volume" _pump_pump_/eta_pump "Deition o pump eiciency" []+_pump [] "Steady-lo conervation o energy" []entropy(fluid$,[],[] []temperature(fluid$,[],[] _team_pump (-y*_pump+ _pump "otal team pump ork put/ ma team" "Steam urbe analyi" []entalpy(fluid$,[],[] []entropy(fluid$,[],[] [] entalpy(fluid$,,[] temperature(fluid$,,[] [][]-Eta_team_turb*([]-"Deition o team turbe eiciency" []temperature(fluid$,[],[] []entropy(fluid$,[],[] [] entalpy(fluid$,,[] temperature(fluid$,,[] [][]-Eta_team_turb*([]-"Deition o team turbe eiciency" []temperature(fluid$,[],[]
0- []entropy(fluid$,[],[] "SSSF conervation o energy or te team turbe: adiabatic, neglect ke and pe" [] _team_turb + y*[] +(-y*[] "Steam Condener analyi" (-y*[]q_+(-y*[]"sssf conervation o energy or te Condener per unit ma" Q_dot_*Convert(MW, kwm_dot_team*q_ "Cycle Statitic" MaRatio_gatoteam m_dot_ga/m_dot_team W_dot_*Convert(MW, kwm_dot_ga*(_ga_turb-_ga_comp+ m_dot_team*(_team_turb - _team_pump"deition o te cycle ork" Eta_tW_dot_/Q_dot_*Convert(, % "Cycle termal eiciency, percent" Br(m_dot_ga*_ga_comp + m_dot_team*_team_pump/(m_dot_ga*_ga_turb + m_dot_team*_team_turb "Back ork ratio" W_dot team m_dot_team*(_team_turb - _team_pump W_dot ga m_dot_ga*(_ga_turb - _ga_comp NetWorkRatio_gatoteam W_dot ga/w_dot team ratio MaRatio gatoteam W ga [kw] W team [kw] η t [%] NetWorkRatio gatoteam. 0..0.0 0.. 0. 0..0. 0 0... 00..0. 00 0.0.0. 0... 00 0.. 0. 00 000...0.. [K] 00 00 00 00 00 00 Combed Ga and Steam oer Cycle Ga Cycle 000 Steam Cycle 00 00 00 00 000 ka 00, 00 ka 00, 0 ka 00 00 0.0..........0 0 [kj/kg-k]
0- Cycle ermal Eiciency v Ga Cycle reure Ratio..0. η t [%].0..0..0 ratio. W dot,ga / W dot,team v Ga reure Ratio. NetWorkRatio gatoteam..0...... ratio Ratio o Ga Flo Rate to Steam Flo Rate v Ga reure Ratio..0. MaRatio gatoteam.0..0..0..0 ratio
0-0- A combed ga-team poer plant i conidered. e toppg cycle i a ga-turbe cycle and te bottomg cycle i a nonideal reeat Ranke cycle. e moiture percentage at te exit o te lo-preure turbe, te team temperature at te let o te ig-preure turbe, and te termal eiciency o te combed cycle are to be determed. Aumption Steady operatg condition exit. Ketic and potential energy cange are negligible. Air i an ideal ga it variable peciic eat. Analyi (a We obta te air propertie rom EES. e analyi o ga cycle i a ollo C C 00 ka 00 ka ηc 0 C.0 kj/kg. kj/kg 0. kj/kg 0. kj/kg 0 C. kj/kg 00 ka 0 00 ka 0. kj/kg 0 0 η 0 η 0 0.. kj/kg ( / ηc + ( 0. 0. /( 0.0 + 0.. kj/kg ( 0 ( 0.0( 0.. Combution camber Compreor Heat excanger pump Ga turbe Condener 0 Steam turbe 00 C. kj/kg From te team table (able A-, A-, and A- or rom EES, v v pi, v( / η p ( 0.000 m /kg( 000 0 ka. kj/kg @ 0 ka @ 0 ka + Ma 00 C 0 ka pi, x. kj/kg 0.000 m /kg. +.. kj/kg. kj/kg.0 kj/kg K g + x kj / 0.0 ka m.0 0. 0.0..+ g ( 0.0(.. kj/kg 0 C C Q Ma GAS CYCLE 0 0 Ma SEAM CYCLE 0 ka Q
0- η η..0 kj/kg 0 ka. kj/kg x 0. Moiture ercentage x ( ( 0.0(.. 0. 0.0.% (b Notg tat Q W ke pe 0 or te eat excanger, te teady-lo energy balance equation yield Alo, E ( + ( air ( 0 [(.. + (. ] (0(...0 kj/kg (. i i E ( Ma Ma? η η e temperature at te let o te ig-preure turbe may be obtaed by a trial-error approac or ug EES rom te above relation. e aner i.0ºc. en, te entalpy at tate become:. kj/kg (c W m ( ( 0 kg/( 0.. kj/kg kw W W, ga air 0 ( ( 0 kg/(..0 kj/kg kw C, ga mair W, ga W,ga W C,ga kw ( + (. kg/(..0 +..0 kj/kg kw, team m W e e (. kg/(. kj/kg. kw, team m pump W, team W,team W,team. kw W, plant W + W + kw,ga,team (d Q m ( ( 0 kg/( 0.. kj/kg kw air W,plant kw η t 0..% Q kw