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THERMODYNAMIC CYCLES WITH SCO2 CYCLE TOPPING

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THERMODYNAMIC CYCLES WITH SCO2 CYCLE TOPPING ( thermodynamic-cycles-with-sco2-cycle-topping )

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Itmay be seen from FIG. 2 thatA:H'"J>AH1'A. The differenceiscausedbytherealworking‘fluidproperties which produce a minimum enthalpy difference in the recuperativeheat exchange process even though the process minimum temperature difference isreduced to, zerointheidealcase.Thisdifferenceiscalledtheideal pinch enthalpydifference in the rec'uperator (Al-1B,) 6 ‘EL?mechanicalloses QL = external thermal losses and 10131”, and 1m are ,theefficienciesoftheturbine,pump andrecupera torsystemsrespectively.Intherealcycle,theval 'wuesofAH“ vandvAl-lmareevaluatedconsidering 'the pressure losses which occur in the cycle. Since pressures P22’> P24 and P25 > PM itfollows that _P22/P21> P24/P2s- I The values of ef?ciency which are ascribed to the turbineandpumpsystemscanbeobtainedfromempir ically derived curves which describe the ef?ciency as a functionoftheSpecificspeedoftheturbomachine.The speci?c speed NS isde?ned as W? NS= (AHAW, , l. andAH"maybeexpressedas Substituting for AH” in the previous‘e‘quatlioI.n, c. D" Also 20 and is the most powerful of the several parameters which influence the performance of turbomachines. The efficiency of the recuperator can be defined as wherethede?nitionofAH,"andAHRcanbereadily interpreted from FIG. 2. In a‘practical heat exchanger ATR > 0. _ I' ' The speci?c output of the cycle is therefore As'with other power conversion cycles, the basic Feher Cycle processes may be modified in order to achievesystemperformanceoroperationalcharacter isticsthat have specific advantages for.speci?c applica tions. For example, the pumping process may be di 1”“ gt-‘= AH" +-AH,,, — 25 I! .' ‘ |_ Mu 'AH‘—AH. AH' =__.IA__...._LA_-= ____-u cycle?uid?ow rateisgivenby w = I x Constant '‘ ' ' l+ An,“ AH” , (AH-r;—-AH”) XConstant 25 This expressionv has the basic units of energy per unit mass,equivalenttopower outputperunitof?ow rate. For a given cycle power output rate 15,the required Itisevidentthatthesebasiccycleparametersdepend only upon the working ?uid enthalpy properties and 35 that the de?nition of these properties in terms‘ of tem peratureandpressureisessentialtocorrect-estimation of cycle perfonnance. ‘ 1 i " .These above equations form the basis'of all basic supercritical cycle and engine system performance estimates which follow. _ , 3,971,211 '30 Of course, the real cycle?must be a modi?cation of theidealcycle.The modi?cationisrequiredinorderto 40 engineer the system to meet the needs of'a'specific application,1'and to-allow for the actual component efficiencies which can be achieved, the parasitic losses such as friction pressure losses due to ?uid ?ow, and the bearing leakage ?ow and temperatureedifference 45 vided into two or more stages with intercooling be losses which accrue from the reduction of the cycle to practical machinery. An. engine system also has addi tional losses due to the power requirements of subsys tems and external thermal losses. The‘performanceestimationforarealcyclefollows 50 grossworkoutput.Inthesupercriticalcycle,thepump identically the same procedure used for the ideal cycle. Hence, - However,Wu andW“ arenotnecessarilyequal.due.to leakage~?ows,and‘ ‘ ' - 4 1 I . . work is characteristically small unless the application demands ahighpump inlettemperaturesuchaswhen .warmambient air is used as the cold sink. In‘ most cases,itcanbeshownthatpump intercoolingimproves thecycle‘performancebyarelativelysmallamountand .turbine interstage reheating isa more productive modi ?cation, although the characteristically small turbine ‘overall pressure ratio restrains the performance im provements to quite modest proportions. A reviewofthebasicFeherCycleef?ciencycompu tationrevealsthatthelargestportionoftheheatthatis rejectedfromthecycleisattributabletotheinabilityof the recuperator to recover more thermal energy from the turbine exhaust stream. Even ifa minimum temper 65 aturedifferenceofzeroisassumed,‘theunrecoverable ‘energy is of the same order as the turbine work for a typical cycle. It is evident that cycle modi?cations ca tween stages to reduce the required;cycle pumping work.Inasimilarfashion,thepowerproducingexpan sion process may be divided into two or more stages with reheating between stages to increase theturbine

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THERMODYNAMIC CYCLES WITH SCO2 CYCLE TOPPING

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