example14.6

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GT - Targeting Heat and Electricity Requirements Fuel 0.52083 #M!R" T2 ( F) $$%0.$& '.0'&P2 (bar) 8.&%$ 11197.8717 ir Feed %$.525&(3&(85lb/s (( T1 ( F) #M!R" $.0$3 P1 (bar) W_AC_or_GT (kW) )tac* %2.0%&5lb/s #M!R" T7( F) $.0$3P7 (bar) lb/s &8.000T8( F) - P8 (bar) #MACRO? ar a es 41.2!7"!78 MW A r (lb/lb$%ol) &.8" MW Wa' r (lb/lb$%ol) 9.&92141 1&97".914" C 4 C/ Ra' o * 199.8"4"&7 #MACRO? C 4 + , (-' /lb) * &.2&8"124"4 #MACRO? T or A r (lb a r/ lb C 4) T 0 _2 ( R) * F ar (lb/s) * Cal la' T 4 AC * P 2 (bar) * 3 l (A a l -' /s) * T " (R) * ar (To'al -' /s) * F 3 l (lb/s) * a r53 l (-' /lb) * Pro ss GCC

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14.6

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Original CGAM Problem

EnglishGT - Targeting Heat and Electricity RequirementsFuelHeat Rate (BTU/kW-hr)0.52083lb/s8958.204630.388T2 ( F)1140.16T3 ( F)Gas (Air + Fuel)9.096P2 (bar)8.641P3 (bar)42.0465lb/s1194.164T5 ( F)11197.87171.099P5 (bar)Air Feed41.5256736785lb/s77T1 ( F)5922.5574500.047W_PT_Net (kW)1.013P1 (bar)W_AC_or_GT (kW)2011.5172075353T4 ( F)4.5000468407(MW)8.209P4 (bar)42.0465lb/sStack42.0465lb/s708.926T6( F)213.114T7( F)1.066P6 (bar)1.013P7 (bar)lb/s401.000T9( F)-P9 (bar)lb/s68.000T8( F)Tpinch_2 ( R) =Tpinch_1 ( R) =-P8 (bar)54.0000203.6032VariablesPhysicalUnits ConversionFair (lb/s) =41.5256736785Calculate T4MW Air (lb/lb-mol)28.9653600 s = 1 hr3600nAC =0.83MW Water (lb/lb-mol)18.015343.413 BTU/hr= W3.413P2 (bar) =9.0955521415Hfuel (Avail Btu/s) =10973.9142989547CH4 C/H Ratio =41000 W = kW1000T3 (R) =1599.8343055663Hair (Total Btu/s) =11105.9164067266CH4 LHV (Btu/lb) =21500bar to psia14.5038243277Ffuel (lb/s) =0.5208312434hair+fuel (Btu/lb) =525.1288007574Theor Air (lb air/ lb CH4)17.2359nGT =NADAR4.6257876518nPT =0.86T4 (R) =2471.1872075353Tpinch_APH ( R) =54.0000000026Tpinch_1 ( R) =203.6032027093OBJ FCNTpinch_2 ( R) =54.0000000010.0372407101Material and Energy BalancesTemperatures (Isentropic)Temperatures (Actual)Log_Mean_TempsPressuresTref =T0 (R) =536.67Pref =P0 (bar) =1.013T1 (R) =536.67P1 (bar) =1.013T2 (R) =998.25T2 (R) =1090.06P2 (bar) =9.096T3 (R) =1599.83P3 (bar) =8.641T4 (R) =2471.19P4 (bar) =8.209T5 (R) =1514.60T5 (R) =1653.834TLMAPH (R) =65.505P5 (bar) =1.099T6 (R) =1168.596P6 (bar) =1.066T6,1 (R) =1064.273P7 (bar) =1.013T6,2 (R) =1055.517P8 (bar) =-T6,3 (R) =806.670P9 (bar) =-T7 (R) =672.784T8 (R) =527.67T8,1 (R) =752.67T8,2 (R) =752.67T8,3 (R) =860.67T9 (R) =860.67Entropy IsentropicEnthalpy IsentropicEnthalpy ActualAir_Fuel_Steamh0 (Btu/lb) =196.8487045333s1 (Btu/lb-R) =1.0811924578h1 (Btu/lb) =196.8487045333s2 (Btu/lb-R) =1.0811924578h2 (Btu/lb) =309.0775375527h2 (Btu/lb) =332.0641660024nCC =0.98h3 (Btu/lb) =464.2956938998Ffuel(lb/s) =0.5208312434s4 (Btu/lb-R) =0.25925723h4 (Btu/lb) =525.1288007574s5 (Btu/lb-R) =0.25925723h5 (Btu/lb) =251.8652744086h5 (Btu/lb) =290.1221680975Fair + Ffuel (lb/s) =42.0465049219h6 (Btu/lb) =159.528595869h6.1 (Btu/lb) =132.4780716432h6.2 (Btu/lb) =130.2239009297h6.3 (Btu/lb) =67.1056939604h7 (Btu/lb) =33.7433490376H8 (Btu) =0H8,1 (Btu) =1402.77H8,2 (Btu) =4056.67H8,3 (Btu) =4151.450H9 (Btu) =5288.83HeatWorkQCC (BTU/s) =11197.872WAC_Actual (BTU/s) =-5614.9131Work (SI units)QLoss (BTU/s) =223.957WGT_Actual (BTU/s) =5614.91315922.5570657238(kW)Efficiency =0.380991541WPT_Actual (BTU/s) =9881.20810422.6039063989(kW)WPT_Net (BTU/s) =4266.29440756234500.0468406751(kW)Power_Actual (kW) =4500.0468406751Total Cost ($/s)=0.0543445508EconomicsZAC($) =209851.165137231ZCC($) =12727.0024483188ZGT($) =300753.983843698ZAPH($) =534357.699051619ZHRSG($) =-Fuel($/s)=0.0472594979CRF(%) =18.20%CRF(%) =18.20%N(hr) =8000N(hr) =8000 =1.06 =1.06cf($/MBtu) =4.2204cf($/MJ) =0.004C11($/(lb/s)) =17.95C11($/(kg/s)) =39.5C12 =0.9C12 =0.9C21($/(lb/s)) =11.64C21($/(kg/s)) =25.6C22 =0.995C22 =0.995C23(1/R)=0.01C23(1/K)=0.018C24=26.4C24=26.4C31($/(lb/s))=212C31($/(kg/s))=266.3C32=0.92C32=0.92C33(1/R)=0.02C33(1/K)=0.036C34=54.4C34=54.4C41($/(m1.2)=2290C41($/(m1.2)=2290U(Btu/(s m2 R))=9.478/1000U(kW/(m2K))=18/1000

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