Thermodynamic Study of Coupled Steam-Gas Turbine Plant With
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E AMEICA SOCIEY O MECAICA EGIEES 35 E 7 S ew Yr, .Y. 00 S The Society shall not be responsible for statements or opinions advanced in papers or discussion at meetings of the Sociey o o is iisios o Secios o ie i is uicaios iscussio is ie oy i e ae is uise G 0 0 0 i a ASME oua Auoiaio o oocoy maeia o iea o esoa use ue cicumsace o aig wii e ai use oisios o e Coyig Ac is gae y ASME o iaies a oe uses egisee wi e Coyig Ceaace Cee (CCC asacioa eoig Seice oie a e ase ee o $3 e age is ai iecy o e CCC 7 Cogess See Saem MA 197 equess o secia emissio o uk eoucio sou e aesse o e ASME ecica uisig eame Coyig © 1995 y ASME A igs esee ie i USA Downloaded from http://asmedigitalcollection.asme.org/GT/proceedings-pdf/GT1995/78811/V004T10A005/2406586/v004t10a005-95-gt-170.pdf by guest on 29 September 2021 EMOYAMIC SUY O COUE SEAMGAS UIE A WI SEAM EACIO A IECIO hn Qn, Shnln , nd Yn Yn eame o owe Egieeig ai Siuiig Egieeig Isiiue ai 151 eoes euic o Cia ABSTRACT Subscripts m mixed working fluids A type of coupled steam—gas turbine plant is pro- a air posed here. It is composed of a regenerative extraction g gas steam turbine and a steam injected gas turbine. Extracted s steam steam of the regenerative extraction steam cycle is not used t turbine to heat water through the regenerative feed—water heater c compressor as in conventional plant, but injected into a gas turbine to b extraction point or burner augment the output of the gas turbine, while the exhaust f fuel gas of the gas turbine now displaces the extracted steam to GT. ST refers to gas turbine and steam turline heat the feed water of the steam turbine plant. The pro- 1,2,3••• positions as shown in figure 1. posed repowering turbine plant has two merits: the further utilization of extraction steam and the elimination of the Superscripts complicated waste heat recovery boiler of a conventional T3 temperature of gas turbine inlet steam injected gas turbine plant, in favor of a gas—to—wat- Tr fuel inlet temperature er heat exchanger. after refitted into coupled plant NOMENCLATURE INTRODUCTION C average specific heat capacity kJ / (kg • K) To increase the energy utilization ratio in a gas turbine f fuel—to—air ratio Brayton cycle , "Cheng cycle heat engine", or "Dual fluids G flowrate kg / s parallel compound cycle gas turbine", or "Steam injected h enthalpy kJ/kg gas turbine" was patented in reference'. In the patents, a p pressure Pa heat recovery boiler, which is used to generate steam, is T temperature K added to the exhaust duct of the gas turbine. The steam w specific work kw / kg generated by the boiler is injected into the combustion x injected steam—to—air ratio — chamber or turbine to augment the power output and a extraction steam fraction — thermal efficiency of the gas turbine plant. Many Steam In- 0 low heating value of fuel kJ / kg jected Gas turbine or STIG plants as called by Gereral rf efficiency — Electric have been applied around the world. Presented at the International Gas Turbine and Aeroengine Congress and Exposition Houston, Texas - June 5-8,1995 To increase the thermal efficiency of a steam turbine minimum temperature difference in the heat recovery boil- Rankine cycle, steam is extracted through the extraction er restricts the steam injection amount, or x m , the ratio of openings of the steam turbine to preheat the feed water of injected steam to intake air of the gas turbine. For the giv- the steam turbine plant. en pinch point temperature difference OTPP and the hot That is to say, for STIG gas turbine plant, a heat re- end temperature difference ATh of the heat recovery covery boiler is necessary to generate steam. While for boiler, there is a critical injected steam—to—air ratio the regenerative extraction steam turbine plant, steam, which connertroral xT. When x m >xcr, the performance of the still has the ability to generate power, must be extracted to conventional steam injected gas turbine plant begins to de- Downloaded from http://asmedigitalcollection.asme.org/GT/proceedings-pdf/GT1995/78811/V004T10A005/2406586/v004t10a005-95-gt-170.pdf by guest on 29 September 2021 preheat the feed water. teriorate. Therefore, a coupled steam—gas turbine plant is pro- If the injection steam for gas turbine does not come posed here. The idea of the proposed coupled plant is just from its heat recovery boiler, there is no restriction on the the combination of the steam injection of STIG gas turbine ratio of injected steam—to—air. This can be seen from the and the steam extraction of the steam turbine. The coupled following analgses. plant is composed of a regenerative extraction steam tur- bine and one or several gas turbines. As shown in figure 1, the steam which is extracted from the steam turbine is in- jected into the gas turbines and the exhaust gas of the gas turbines is used to preheat the feed water of the steam tur- bine plant to make best use of energy. The high grade ener- gy o the extracted steam of the steam turbine cycle is util- ized further in the steam injection gas turbine. For example, the temperature of the extracted steam of steam turbine S in this paper is 330 C (No.5 regenerator). The extracted steam can be injected into a gas turbine to gener- ate more power. And then, the exhaust gas replaces the ex- tracted steam to heat feed water of the steam turbine. The Fig. I diagram of coupled steam—gas turbine plant exhaust temperature of the two gas turbines of the pro- posed two schemes are respectively 346t , 396t . The exhaust gas can replace steam to heat feed water. A Snecific work gas—to—water heat exchanger takes the place of one or sev- The specific work of a steam injected gas turbine is: eral steam—to—water regenerators. The entropy production w=(1 ++ m (3 ——( —a in a gas—to—water heat exchanger is slightly more than a hm enthalpy of mixed working fluid. heat recovery boiler or a steam—to—water regenerator. Here, the injected steam comes from the extraction opening There were some gas—to—water heat exchengers which of regenerative extraction steam turbine of the coupled have been used in other kinds of combined turbine plants. plant. For convenience sake, suppose the steam is injected Because of the utilization of the extracted steam of the into the combustion chamber only. steam turbine and the exhaust gas of the gas turbine of the w =[(1 + fc a3 +C](3 — coupled plant, the output and efficiency of the plant are —C pa 1( T 2 — imoe. here, T ; —isentropic temperature at position i, C C g C S —average specific heat of air, gas and steam. THEORETICAL CONSIDERATIONS OF Therefore, STEAM AND GAS TURBINES WITH STEAM Ow _ o 7/ 4 ) EXTRACTION AND INJECTION O — t C S3 o + s3 3 — The ratio of fuel—to—air after steam injection can be For the coupled plant, the main connection of steam determined by the heat balance in the combustion and gas turbines is the extraction or injection steam. the ef- chamber: fect of steam extraction and injection on the performance — 2 O b =C J T — of steam and gas turbines, the appropriate amount of ex- (3 +( hp) + m C31 traction and injection steam should take preconsiderations. ( 3 — T 4 ) here, T b —steam temperature at extraction point. Hence, 1. Gas Turbine Performance with Steam Injection 3 —+ — 4 Ca3( C ,, , (3 ) For the conventional steam injected gas turbine, the f= n48+h11—h13 injected steam is generated by the heat recovery boiler. The 2 hence, fST> fGT in any case. T 3 — — b ) Therefore, the specific work and efficiency of the = C a3 ( 2 ) + C S3 T 3 steam injected gas turbine of the coupled plant will increase n b B+hff —hf ^nb0+hf —hf' as the increase of steam—to—air ratio. = + m f0 , f,--fuel—to—air ratio used for the heating of air and 2. Steam Turbine Performance after Steam Extraction seam eseciey. As shown in figure 2, suppose the original steam tur- bine has three extaction points a, b, and c, corresponding Downloaded from http://asmedigitalcollection.asme.org/GT/proceedings-pdf/GT1995/78811/V004T10A005/2406586/v004t10a005-95-gt-170.pdf by guest on 29 September 2021 o = , we have, x extraction steam fractions are aa, a b , and a,. The ex- aw traction point for steam injection of the gas turbine is de- am =17(C a3 +CS3a(3 — termined by the requirement of steam injection of the gas The inequality indicates that the specific work of 'a turbine. The parameters of the selected extraction point are seam iece gas uie iceases as e aio o Tb , Pb' extraction steam fraction steam—to—air increases. is a'b, a'b x.G,, / G. Assume the other factors are ucage. See ig.2. Efficiency The injection steam has an effect on the efficiency of T •6 the gas turbine plant. For the conventional steam injected gas turbine, when x m <x,, the efficiency n increases as N a the x m increases, when x m >x cr, the efficiency will de- crease as xm increases. However, when the injected steam is not generated by a heat recovery boiler, the relationships are not the same.