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Energies 2020, 13, 2447 10 of 18 Energies 2020, 13, x FOR PEER REVIEW 10 of 18 4.1. Investigation on Turbine Inlet Pressure Change 4.1. Investigation on Turbine Inlet Pressure Change It is well known that the efficiency of a Brayton cycle is highly dependent on the turbine inlet It is well known that the efficiency of a Brayton cycle is highly dependent on the turbine inlet temperature and pressure ratio [6,26,27]. In this work, it was decided to investigate how the change temperature and pressure ratio [6,26,27]. In this work, it was decided to investigate how the change in in the turbine inlet pressure will affect the cycle performance, assuming constant pressure at the the turbine inlet pressure will affect the cycle performance, assuming constant pressure at the turbine turbine outlet (7.74 MPa). Different turbine inlet pressures from 11 to 22.5 MPa were assumed. For outlet (7.74 MPa). Different turbine inlet pressures from 11 to 22.5 MPa were assumed. For each of the each of the assumed pressures, the energy efficiency indicators were determined for different values assumed pressures, the energy efficiency indicators were determined for different values of exhaust of exhaust gas temperatures at the heat exchanger outlet, ranging from 100 (373.15 K) to 200 °C (473.15 gas temperatures at the heat exchanger outlet, ranging from 100 (373.15 K) to 200 ◦C (473.15 K). In K). In addition, it was assumed that the temperature difference between CO2 and the exhaust gases addition, it was assumed that the temperature difference between CO2 and the exhaust gases at the at the inlet and outlet of the heat exchanger is always constant and is 5 K. Figure 4 presents the inlet and outlet of the heat exchanger is always constant and is 5 K. Figure 4 presents the relationship relationship between turbine inlet temperature and waste heat utilization rate. between turbine inlet temperature and waste heat utilization rate. 4.0 3.0 2.0 1.0 0.0 373.15 K 393.15 K 433.15 K 473.15 K Waste heat utilisation rate (%) 10 12 14 16 18 20 Expander (turbine) inlet pressure (MPa) 22 24 Figure 4. Relationship between turbine inlet temperature and waste heat utilization rate for the different Figure 4. Relationship between turbine inlet temperature and waste heat utilization rate for the exhaust gas temperature at the heat exchanger outlet. different exhaust gas temperature at the heat exchanger outlet. The plot presented in Figure 4 shows the dependence according to which the waste heat utilization rate gTrhoewpslowtitphrethsenetexdhaiunstFgigauseres t4emshpoewrastutrheeadt ethpenhdeeantcexcahcaconrgdeirnogutoletwahnidchwtihthe twhaestuerbhienaet uintlielitzpatrieosnsurraet.eWgraoswteshweaithuthileizeaxtihoanursattgea(sEeqsutaetmiopne(r7a)t)uirseaaqtuthoetiehnetatinexwchiacnhgtehreoduetnleotmanindatwoirthatshea tcuornbsitnaentivnalleute.pTrehsisumre.anWsathsatettheahtiguhteirlizthaetioWnHUraRteva(Eluqeu,athtieonlarg(7e)r)thisecaouqnutoert,iewnhticihnrewfehrischtothe dnetnpomowineartofrthaessaycsotenmst.anTthveahluigeh.eTrhtihsemteuarnbsintehaintltehtephriegshseureth, tehWe HgrUeaRtevratlhue,dtihffeelraerngcerbthetewcoeeuntehre, pwohwicehrorenfethrsetourtbhienensehtapfotwanedrtohfetrheequsyirsetdemco.mThperehssigohreprowther.tuTrhbiisniesdinulettoprthesescuorme,ptrheessgiorenaotefrCtOhe 2 dneifafrertehnecceribtiectawl peeoninth. eThpeowWeHrUoRn gthroewtuthrbiisnrelsahteadft taontdhetheexhraequustirgeads cteomperreastsuorre pinocwrears.eTahtisthies hdeuaet teoxcthaencgoemropuretlsesti,ownhoifchCrOe2sunletsarfrtohmecthrietiucaslepoofianrt.ecTuhpeeWratHoUr.RAtgtrhoewatshsuismredlatfleudetgoatsheestexmhpauersattguares ◦ acoremsphroewssniofnowr tahsegmreaxteimr tuhmanttuhrebainsesuimnledt perxehsasusrtegoafs1c7ooMliPnag. tTehmispeisradtureetso. Ttheisfacptptlhieast,tofotrhheipglhoetrs pinreFsisgurreess,4th–7e.tIenmFpigeruarteu5rethoefrCelOat2ioanftsehripcobmetpwresesniotnurwbianseginreleatetermthpaenrathuereaasnsudmpedrcenxhtaoufswtagsates choeoaltintrgantesfmerprerdatuorCesO. Tihsishaopwpnli.es to the plots in Figures 4–7. In Figure 5 the relationship between 2 turbiTneheinalentatleymsipsearsastumreeasntdhaptewrcaesnteohfewaatsttreanhsefaetrtrreadnstfoerCreOdtiosCcoOn2sitsasnhtofworn.agivenexhaustgas 2 temperature at the heat exchanger outlet. PWHT is described by Equation (8), where all variables are independent of the inlet pressure to the turbine. Figure 5 presents examples of PWHT values for the described above assumptions. The last energy efficiency indicator is cycle efficiency. The relationship between turbine inlet temperature and cycle efficiency is presented in Figure 6. taetmthpeeerxactuhraenginecrroeuastleta—t t1h0e0heCat(3e7x3c.h1a5nKg)e—r othuetlceatl,cwulhaitciohnreresusultlstsfraorme shthoewunsefoorftaheremcuaxpiemrautmor.tuArtbtihne ainslseutmpreedssfulure ogfa1se7sMtePma.pTehraistuisredautetthoethexecfhaactntgheart,ofuotrlehti—gh1e0r0p°rCes(s3u7r3e.s1,5thKe)t—emthpeecratlucurelaotifoCnOresauftletsr 2PDF Image | Supercritical CO2-Brayton Cycle Nat Gas Compression Station
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