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    See discussions, stats, and author profiles for this publication at: https://www.researchgate.net/publication/223488829

    Optimum gas turbine cycle for combined cyclepower plant

    ARTICLE in ENERGY CONVERSION AND MANAGEMENT · APRIL 2008Impact Factor: 4.38 · DOI: 10.1016/j.enconman.2007.08.002

    CITATIONS

    59READS

    614

    3 AUTHORS:

    A. L. Polyzakis

    Technological Educational Institute of Wes…

    19 PUBLICATIONS 104 CITATIONS

    SEE PROFILE

    Christopher J. Koroneos

    National Technical Unive rsity of Athens

    138 PUBLICATIONS 1,483 CITATIONS

    SEE PROFILE

    George Xydis

    Piraeus University of Applied Sciences

    43 PUBLICATIONS 318 CITATIONS

    SEE PROFILE

    All in-text references underlined in blue are linked to publications on ResearchGate,letting you access and read them immediately.

    Availab le from: Christopher J. KoroneosRetrieved on: 15 February 2016

    https://www.researchgate.net/profile/George_Xydis?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_4https://www.researchgate.net/profile/George_Xydis?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_4https://www.researchgate.net/institution/Technological_Educational_Institute_of_Western_Macedonia?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_6https://www.researchgate.net/profile/A_Polyzakis?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_5https://www.researchgate.net/institution/National_Technical_University_of_Athens?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_6https://www.researchgate.net/profile/Christopher_Koroneos?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_5https://www.researchgate.net/?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_1https://www.researchgate.net/profile/George_Xydis?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_7https://www.researchgate.net/profile/George_Xydis?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_5https://www.researchgate.net/profile/George_Xydis?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_4https://www.researchgate.net/profile/Christopher_Koroneos?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_7https://www.researchgate.net/institution/National_Technical_University_of_Athens?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_6https://www.researchgate.net/profile/Christopher_Koroneos?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_5https://www.researchgate.net/profile/Christopher_Koroneos?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_4https://www.researchgate.net/profile/A_Polyzakis?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_7https://www.researchgate.net/institution/Technological_Educational_Institute_of_Western_Macedonia?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_6https://www.researchgate.net/profile/A_Polyzakis?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_5https://www.researchgate.net/profile/A_Polyzakis?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_4https://www.researchgate.net/?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_1https://www.researchgate.net/publication/223488829_Optimum_gas_turbine_cycle_for_combined_cycle_power_plant?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_3https://www.researchgate.net/publication/223488829_Optimum_gas_turbine_cycle_for_combined_cycle_power_plant?enrichId=rgreq-9f9c6e55-49a3-4a74-853e-534ee5923bbc&enrichSource=Y292ZXJQYWdlOzIyMzQ4ODgyOTtBUzo5ODc2OTM0MTI1NTY5NUAxNDAwNTU5ODU0NTgw&el=1_x_2

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    This article was published in an Elsevier journal. The attached copyis furnished to the author for non-commercial research and

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    generate electric power at lower costs than that of conven-tional steam plants of the same rating [5].

    Gas turbines in simple cycle (SC) mode have long beenused by utilities for limited peak power generation. In addi-tion, industrial facilities use gas turbine units for on sitepower generation, usually in combination with processheat production, such as hot water and process steam. Inrecent years, the performance of industrial gas turbineshas been improved, due to considerable investments inresearch and development, in terms of fuel to electricity

    conversion efficiency, plant capacity, availability and reli-ability. The greater availability of fuel resources, such asnatural gas (NG), the signicant reduction in capital costsand the introduction of advanced cycles, have also been asuccess factor for increased deployment of gas turbinesfor base load applications [5].

    In the late eighties, natural gas prices fell and gas tur-bine technologies improved. The upsurge in the use of industrial gas turbines is mostly focused on the CCPPusing the simple cycle for the GT. Combined cycle plantsreached thermal efficiencies of more than 40% in the lateeighties, with the gure climbing to 50% for a generalelectric (GE) plant opened in South Korea. Asea BrownBoveri (ABB) announced plans for a 53% efficient com-bined cycle plant. It is thought that within the next dec-ade and even by the turn of the century, it will bepossible to produce a CCPP with thermal efficienciesclose to 60%. The current state of the art is 55% thermalefficiency [6,7].

    Numerous investigations, as well as experience withactual plants, have showed that the split of power outputbetween the gas turbine and the steam turbine of a com-bined cycle power plant should be approximately 2:1,resulting in a gas turbine of 200 MW GT output, and100 MW ST output with a total of 300 MW. The latestdevelopments of the major GT manufacturers are of thatorder of magnitude, e.g., general electric: 9FA series226.5 MW, A sea Brown Boveri: GT26 240 MW [6,7].

    2. Theoretical Brayton cycles and combined cycle

    For years, the gas turbine has mainly been operated in asimple cycle. Fig. 1a shows the temperature–entropy dia-gram of the basic isentropic Brayton cycle. It consists of one stage of compression, a single heat input stage and sim-ple expansion through a turbine. Possible additions to thiscycle are intercooling, reheat or a combination of these.The various options are displayed in Fig. 1b–e. The dashedheat rejection lines indicate that it is an open cycle, mean-

    ing that new working uid (i.e., air) and fuel are continu-ously put through the cycle. Although this is, by far, themost common practice, closed gas turbine cycles wherethe heat is supplied through a heat exchanger (so calledindirectly red cycles) are gaining renewed interest [1,8].

    When considering a combined cycle including a gas tur-bine, the Rankine steam cycle is simply added underneaththe Brayton cycle, as shown in Fig. 2. The Brayton toppingcycle rejects its heat to the Rankine bottoming cycle to raisesteam, instead of directing it to the atmosphere as in the sin-gle cycle conguration. For obvious reasons, this principleis called ‘‘waste heat recovery’’ and the steam raising devicesubstituting for the boiler of a conventional steam plant iscalled the heat recovery steam generator (HRSG).

    The combined cycle plant thermal efficiency is denedby

    g CC ¼ ðwork output ÞCC

    ðheat input Þ GT

    ¼ net GT work þ net ST work

    fuel energy input into GT ð1Þ

    Clearly, the efficiency of the combined gas/steam cycle ishigher than that of the gas turbine by itself. However,where the optimization of one cycle was relatively simple,

    i.e., a matter of raising the mean temperature of heat recep-tion and lowering that of heat rejection, the optimization of the CC is a more complicated matter. To investigate this

    Nomenclature

    CC combined cycle

    CCPP combined cycle power plantsDP design pointg efficiencyEGT exhaust gas temperatureGT gas turbineHRSG heat recovery steam generatorHP high pressureIC/RH intercooled and reheated cycleIC intercooled cycleIC/RH/HX intercooled, reheated and regenerative cycleLP low pressure

    NG natural gas

    OD off designRc overall pressure ratioPT power turbineRH reheated cycleSC simple cyclesfc specic fuel consumptionC P specic heatSP specic powerT stack stack gas temperatureTET turbine entry temperatureX ACT wetness

    552 A.L. Polyzakis et al. / Energy Conversion and Management 49 (2008) 551–563

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    issue further, the rst four potential (SC, IC, RH, IC/RH)gas turbine topping cycles were analysed for their suitabil-ity for combined cycle application ( Fig. 1).

    The cycle incorporating intercooling, reheat and regen-eration (IC/RH/HX) is not likely to be efficient in CCapplication, despite the high GT efficiency [9]. This is dueto the fact that the heat exchanger lowers the temperatureof the exhaust gases too much for the steam cycle to be of sufficiently high thermal efficiency.

    A gas turbine simulation software program called Tur-boMatch has been used to simulate the performance of the different cycles. This program has been developed and

    rened over many years in the Department of Propulsion,Power and Automotive Engineering of Craneld Univer-sity [10]. It facilitates design point (DP) and off design(OD) performance calculations of aero and industrialengines of any layout. By means of ‘‘codewords’’, variouspre-programmed routines, known as ‘bricks’, can be com-bined to build a model of the desired gas turbine. Basically,the characteristics of each brick, representing an actualcomponent of the engine, are determined by several param-

    eters that are relevant to the function of the component.TurboMatch uses these data to simulate the interaction

    of the different components of the modelled engine. It

    Fig. 1. Temperature–entropy diagrams of theoretical Brayton cycles: (a) SC, (b) IC, (c) RH, (d) IC/RH and (e) IC/RH/HX.

    Fig. 2. Combined cycle: combination o i simple Brayton cycle and Rankine cycle.

    A.L. Polyzakis et al. / Energy Conversion and Management 49 (2008) 551–563 553

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    generates output in terms of delivered engine thrust (whenmodelling aero engines) or shaft power, specic fuel con-sumption etc. with details of the individual component per-formances and of the gas path parameters at various

    stations within the machine.The output performance parameters of the gas turbinewere input in a steam cycle calculation process. Gas turbineefficiency, exhaust gas mass ow and temperature and gasturbine power output were combined with appropriatesteam data. A single pressure steam cycle was then simu-lated, the main outcomes being the steam power output,steam cycle efficiency and overall combined cycle efficiency.The single pressure level combined cycles are the simplestform of combined cycle. Even with improvements madefor arriving at more complex systems, they still remain inthe market place. The following values were adopted forthe steam calculations:

    • Evaporator pinch point 30 K.• Minimum stack gas temperature 160 K.• steam turbine constant isentropic efficiency 0.85.• Maximum superheated steam temperature

    650 C = 923 K and minimum exhaust gas temperature(EGT) 550 C = 823 K.

    • Maximum boiler pressure 160 bar.• Minimum condenser pressure 0.03 bar.• The dryness fraction of the steam at the exit of the steam

    turbine is an important parameter from a maintenancepoint of view. When the dryness fraction is too low, gen-

    erally dened as below 0.87 (87% dryness or 13% wet-ness), the last stage turbine blades suffer excessiveerosion, which may lead to reduced efficiency and maybeeven mechanical failure of the turbine.

    • An average constant value of specic heat ( C P ) of airwas adopted, in accordance with the following formula

    C P ¼ 1020 þ 420 e800

    T m ð2Þ

    in which T m is the mean gas temperature through theboiler, given by

    T m ¼ EGT þ T stack

    2 ð3Þ

    It was assumed that fresh, good quality river water wasavailable for cooling purposes. Hence, an open condensing

    cycle was supposed, and a very low condenser pressure wasused.

    For performance of the steam and combined cycle opti-mization, a computer model is used, so that changingparameters could be investigated. Steam performance cal-culations can be calculated from the input of data takenfrom existing engines or via the gas turbine engine moduleof the TurboMatch. The steam plant model is based onconservation of energy through the boiler. Steam mass owcan be calculated from an energy balance across the evap-orator and superheater section. With steam mass ow cal-culated and steam turbine efficiencies known, the power

    output can be calculated [11].3. Simple cycle

    The conguration of the engine is shown in Fig. 3.The DP performance specications of the engine follow

    those shown in Table 1 , and they are similar to those givenby most important manufacturers.

    The results from the design point calculations are shownin Fig. 4. If operating the engine in open cycle, from thisplot of specic fuel consumption (sfc) versus specic power(SP), it would be possible to select a suitable engine for aparticular application.

    Fig. 3. Simple cycle GT layout. ‘‘Brick’’ and ‘‘station vector’’ model.

    Table 1GT’s specications (design point, DP)

    Simple cycle Intercooled cycle Reheated cycle Interc./reh. cycle

    Ambient conditions 15 C = 288 K,1 atm = 101 kPa

    15 C = 288K,1 atm = 101 kPa

    15 C = 288 K,1 atm = 101 kPa

    15 C = 288 K,1 atm = 101 kPa

    Intake efficiency (%) 100 100 100 100Compressor isentr. effic.

    (%)86 86 86 86

    Fuel (NG) (MJ/kgr) 43 43 43 43Combustion effic. (%) 99 99 99 99Burner pressure loss (%) 5 5 5 5Turbine isentropic effic.

    (%)87 87 87 87

    TET (HPT, LPT and PT) 1288 C = 1561 K 1288 C = 1561 K 1288 C = 1561 K 1288 C = 1508 KTurbine cooling air (%) 25 25 15, 10 15, 10

    Exhaust pressure (atm) 1.02 1.02 1.02 1.02Intercooler effic. – 99% – 99%Interc. pres. loss – 0% – 0%

    554 A.L. Polyzakis et al. / Energy Conversion and Management 49 (2008) 551–563

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    Off design performance is determined to assess theengines’ performance over the complete range of operatingconditions that the engine could experience. These includevarying the ambient temperature conditions ( 20, 0, 15,40 C), altitude (500, 1500, 2500 m) and reducing the

    TET to assess the engine’s performance at part load.Figs. 5 and 6 show the variation of power versus TET

    for varying ambient temperature and altitude, respectively.

    It can be seen that the power output decreases as TET isreduced as would be expected. Varying the ambient tem-perature affects the power output. As the ambient temper-ature increases, the air density falls; hence, for a given TET,

    the mass ow through the engine is reduced. As a conse-quence, the engine output power is lower. An increase inaltitude gives rise to the same result as can be seen inFig. 6. It is worth noting that these gures indicate a con-tinued increase in power with reduced ambient tempera-tures and increased TET. In the real situation, this wouldnot be permitted due to stress limitations. Rotors and discswill be mechanically designed to withstand momentaryoverspeeds of up to 110% [11].

    The variation of g GT versus TET for varying ambienttemperature and altitude g GT are shown in Figs. 7 and 8,respectively. It can be seen that the efficiency reduces rap-idly with a reduction in TET. Thermal efficiency equatesto useful work output divided by heat input. Work outputis found to decrease more rapidly than the reduction inheat input, and therefore, thermal efficiency decreases.

    However, when steam and gas cycles are combined toascertain the best combination, a suitable steam cycle mustalso be considered. In Table 2 , it can be seen that the

    66

    67

    68

    69

    7071

    72

    73

    74

    75

    250 255 260 265 270 275 280 285 290 295Specific Power (kW/(kgr/s))

    s f c

    ( g r / M

    J )

    TET=1508 KTET=1561 KTET=1600 KRc=12Rc=16Rc=20

    Fig. 4. Simple cycle design point performance.

    80

    100

    120

    140

    160

    18 0

    200

    220

    240

    260

    280

    300

    1350 1375 1400 1425 1450 1475 1500 1525 1550 1575 1600

    TET (K)

    P o w e r

    ( M W )

    Tamb =-20°

    C

    Tamb =0°

    CTamb =15

    °

    CTamb =40

    °

    C

    Fig. 5. Power versus TET varying T amb (SC).

    1350 1375 1400 1425 1450 1475 1500 1525 1550 1575 1600

    TET (K)

    100

    120

    140

    160

    180

    200

    220

    P o w e r

    ( M W )

    Altitude=500 m

    Altitude=1500 mAltitude=2500m

    Fig. 6. Power versus TET varying altitude (SC).

    20

    25

    30

    35

    40

    1350 1375 1400 1425 1450 1475 1500 1525 1550 1575 1600TET (K)

    E f f i c i e n c y ( %

    )

    Tamb =-20°

    C

    Tamb =0°

    C

    Tamb =15°

    C

    Tamb =40°

    C

    Fig. 7. Efficiency versus TET varying T amb (SC).

    26

    27

    28

    29

    30

    31

    32

    33

    34

    35

    36

    1350 1375 1400 1425 1450 1475 1500 1525 1550 1575 1600TET (K)

    E f f i c i e n c y

    ( % )

    Altitude=2500 m

    Altitude=1500 m

    Altuitude=500 m

    Fig. 8. Efficiency versus TET varying altitude (SC).

    A.L. Polyzakis et al. / Energy Conversion and Management 49 (2008) 551–563 555

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    cerned, it can be said that a multi-shaft machine, in general,is more exible than a single shaft machine, because its gasgenerator is allowed to operate at a different rotationalspeed from that required for the PT. When the machine

    is used for heavy duty base load power generation, thePT speed is xed by the required frequency of the electricoutput from the generator. A gearbox is not desirable,for it would introduce additional cost and losses and nega-tively inuence the performance. An engine with a PTobtains its power variation by varying the gas generatorspeed. This means that torque (i.e., load output) changesare inherently slow and dependent on rotor inertia, surgemargin and temperature limits. On the other hand, singleshaft engines can handle rapid load changes once syn-chronised, as the rotational speed will always remainunchanged, and therefore, there is no rotor inertia to over-come. Furthermore, it has a higher resistance to speedchange in the case of an unexpected change in electric loadbecause of its high rotor inertia. Summarising, a singleshaft machine is more speed stable, and therefore, easierto regulate, while at part load, a two shaft engine gives bet-ter performance [8,13].

    As in the case of the simple cycle, OD performance simu-lation was performed. The simulation refers to the variationof ambient temperature, altitude and TET ( Figs. 11–14).

    Similar to the simple cycle, the optimum design point of the GT alone is very different from the one eventuallyselected for combined cycle duty ( Table 3 ). There is anoptimum solution where neither the GT thermal efficiency

    nor the steam plant power output are the best achievablebut which yields optimum CC thermal efficiency. The rea-son for this is the fact that when the efficiency of a GTdrops, its exhaust gas temperature increases. The addi-tional heat allows more steam to be generated in theHRSG, thereby increasing the steam turbine power output.It must also be noted that the selection of the more suitableengine is taking into account the possible aerodynamicproblems that might occur in the GT compressor whenthe overall RC is divided in an extremely unequal waybetween the two compressors. From Table 3 , it can be seen

    that the optimum pressure ratio ( RC ) for the CC occurs inthe region of 12.6.

    5. Reheated cycle

    A substantial increase in specic work output can beobtained by splitting the expansion and reheating the gas

    50

    75

    100

    125

    150

    175

    200

    225

    250

    275

    1350 1375 1400 1425 1450 1475 1500 1525 1550 1575 1600TET (K)

    P o w e r

    ( M W )

    Tamb =-20°

    CTamb =0

    °

    CTamb =15

    °

    CTamb =40

    °

    C

    Fig. 11. Power versus TET varying T amb (IC).

    70

    90

    110

    130

    150

    170

    190

    210

    1350 1375 1400 1425 1450 1475 1500 1525 1550 1575 1600TET (K)

    P o w e r

    ( M W )

    Altitude=500 mAltitude=1500 mAltitude=2500 m

    Fig. 12. Power versus TET varying altitude (IC).

    20

    25

    30

    35

    40

    1350 1375 1400 1425 1450 1475 1500 1525 1550 1575 1600TET (K)

    E f f i c i e n c y

    ( % )

    Tamb =-20°

    C

    Tamb =0°

    CTamb =15

    °

    C

    Tamb =40°

    C

    Fig. 13. Efficiency versus TET varying T amb (IC).

    26

    27

    28

    29

    30

    31

    32

    33

    34

    35

    36

    E f f i c i e n c y

    ( % )

    Altitude=2500 m

    Altitude=1500 m

    Altitude=500 m

    1350 1375 1400 1425 1450 1475 1500 1525 1550 1575 1600

    TET (K)

    Fig. 14. Efficiency versus TET varying altitude (IC).

    A.L. Polyzakis et al. / Energy Conversion and Management 49 (2008) 551–563 557

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    between the high pressure and low pressure turbines. At thesame time, the thermal efficiency of the GT will be reduced,but on the other hand, the heat ‘‘rejected’’ to the HRSGwill be increased due to the increased exhaust gas temper-ature (EGT). The conguration of the engine is shown inFig. 15. As a rst approach, the RC,total is split.

    The specications of the engine follow those shown inTable 1 . This makes the specications of the engine thesame as those of the state of the art, and it gives the oppor-tunity of a comparison between the results of the design

    project with the manufacturers specications. The resultsfrom design point calculations can be seen in Fig. 16.From the point of view of aerodynamical and mechan-

    ical design of the compressors, it is better to split the over-

    all R C as equal as possible 7 · 7 rather than 35 · 1.4. Thisis because the LPC will experience more severe surgeproblems and the LPC is more sensitive in such sort of problems than the HPC. On the other hand, even withthe split 7 · 7, variable guide vanes should be used forboth compressors (due to RC > 5 in both of them), butthe surge problems will not be so severe for the LPC aspreviously. However, from the design point of view, thehigher is the LPC pressure ratio, the better is the efficiency[1,12,14].

    Having decided on the design point, the next step is toinvestigate the behaviour of the engine, how it would per-form over a wide range of ambient temperatures, altitudeand different loads (TETs) ( Figs. 17–20).

    Table 3Selection of optimum intercooled cycle GT (TET = 1561 K)

    RC,TOTAL RC,LPC · RC,HPC g GT (%) Exh. ow (kgr/s) EGT (K) X ACT (%) P STEAM (MW) CCPP (MW) g CCPP (%)

    8 1.25 · 6.4 29.33 715.2 885 12.0 122.8 322.8 47.3

    1.333 ·

    6 29.4 707.1 884 12.0 121.2 321.2 47.21.6 · 5 29.48 688.3 880 12.0 117.2 317.2 46.81.8 · 4.444 29.42 679.8 878 11.9 115.3 315.3 46.42 · 4 29.31 673.9 876 11.9 113.9 313.9 46.02.2 · 3636 29.14 670.4 875 11.9 113.0 313.0 45.62.5 · 3.2 28.85 667.9 872 11.9 112.1 312.1 45.02.83 · 2.83 28.49 667.7 870 11.9 111.6 311.6 44.4

    10 1.25 · 8 31.53 687.7 849.1 11.8 110.4 310.4 48.91.5 · 6.667 31.75 664.6 845.5 11.7 105.9 305.9 48.61.725 · 5.8 31.76 651.6 842.9 11.7 103.3 303.3 48.22 · 5 31.64 641.4 840.3 11.7 101.2 301.2 47.62.25 · 4.444 31.46 635.7 838.2 11.7 99.8 299.8 47.22.5 · 4 31.23 632.4 836.4 11.7 104.3 304.3 47.52.75 · 3.636 30.97 631.0 834.9 11.8 103.6 303.6 47.03 · 3.333 30.69 630.7 833.5 11.9 103.1 303.1 46.5

    12.6 1.26 · 10 33.59 669.8 813.5 12.8 103.1 303.1 50.91.4 · 9 33.79 654.2 811.4 12.9 100.0 300.0 50.7 1.575 · 8 33.91 639.7 809.0 13.0 97.1 297.1 50.42.1 · 6 33.80 615.3 803.8 13.2 91.8 291.8 49.32.52 · 5 33.47 606.5 800.6 13.4 89.6 289.6 48.53.15 · 4 32.81 602.1 797.0 13.6 88.0 288.0 47.23.55 · 3.55 32.35 605.5 795.1 13.7 87.5 287.5 46.5

    16 1.25 · 12.8 35.40 664.9 778.7 14.5 91.5 291.5 51.61.6 · 10 35.87 627.4 773.7 14.8 84.9 284.9 51.12 · 8 35.89 604.5 769.5 15.0 80.6 280.6 50.42.4 · 6.667 35.67 591.9 766.3 15.1 78.1 278.1 49.63.2 · 5 34.90 581.8 761,5. 15.4 75.5 275.5 48.13.6 · 4.444 34.46 580.7 759.6 15.5 74.8 274.8 47.44 · 4 34.00 581.2 758.0 15.6 74.5 274.5 46.7

    Fig. 15. Reheated cycle GT layout. ‘‘Brick’’ and ‘‘station vector’’ model.

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    The selection of the appropriate engine is based on thecomparison of the performance of different GTs withreheat engine, Based on the GT output simulation data,steam single cycle calculations have been performed. In

    Table 4 , the overall results of the GT cycle, steam cycle(steam ow, steam cycle efficiency, steam wetness, steamcycle power output) and the overall CCPP power and effi-

    ciency are included. It can be seen that the optimum pres-sure ratio ( R C ) for the CC occurs in the region of 49.

    6. Intercooled reheated cycle

    There are several possible engine congurations corre-sponding to the IC/RH cycle. The one investigated hereis shown in Fig. 21.

    The DP performance specications of the engine followthose shown in Table 1 , and they are similar to those givenfor the simple cycle. The results from design point calcula-tions can be referenced in Fig. 22.

    Once the optimum IC/RH gas turbine was selected, theanalysis of the OD performance behaviour of the enginewas conducted. A wide range of operational conditions(ambient temperature, altitude, TET) were investigated(Figs. 23–26).

    Nonetheless, by assuming, for the sake of the compari-son, that the overall pressure ratio was split into equal pro-portions between the two compressors, some trends can be

    disclosed.Firstly, as the overall pressure ratio increases, the gas

    turbine efficiency increases, and simultaneously, the EGT

    TET=1561 K

    62

    64

    66

    68

    70

    72

    74

    240 260 280 300 320 340 360 380 400Specifc Power (kW/(kgr/s))

    s f c

    ( g r / M

    J )

    Rc,total=42Rc,total=49Rc,total=54

    RLPC droppingRHPC rising

    Fig. 16. Reheated cycle design point performance.

    50

    100

    150

    200

    250

    300

    1450 1475 1500 1525 1550 1575 1600TET (K)

    P o w e r

    ( M W )

    Tamb =-20°

    CTamb =0

    °

    CTamb =15

    °

    CTamb =40

    °

    C

    Fig. 17. Power versus TET varying T amb (RH).

    90

    110

    130

    150

    170

    190

    210

    1450 1475 1500 1525 1550 1575 1600TET (K)

    P o w e r

    ( M W )

    Altitude=500 mAltitude=1500 mAltitude=2500 m

    Fig. 18. Power versus TET varying altitude (RH).

    26

    28

    30

    32

    34

    36

    38

    40

    1450 1475 1500 1525 1550 1575 1600TET (K)

    E f f i c i e n c y ( %

    )

    Tamb =-20°

    CTamb =0

    °

    CTamb =15

    °

    CTamb =40

    °

    C

    Fig. 19. Efficiency versus TET varying T amb (RH).

    26

    27

    28

    29

    30

    31

    32

    33

    34

    35

    36

    37

    1450 1475 1500 1525 1550 1575 1600TET (K)

    E f f i c i e n c y

    ( % )

    Altitude=2500 m

    Altitude=1500 m

    Altitude=500 m

    Fig. 20. Efficiency versus TET varying altitude (RH).

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    decreases. The two effects have contradictory inuences inthe CC efficiency and tend to balance each other, produc-ing a maximum at an intermediate value of pressure ratio.

    Secondly, as the overall pressure ratio increase, specicpower increases and so does the CC efficiency. This is validuntil a certain value of pressure ratio is reached, beyondwhich the EGT reduction starts counteracting and the effi-ciency begin to decrease. At the same time, the steampower output continuously decreases as the pressure ratioincreases due to the diminishing of the exhaust gas mass

    ow. On the other hand, if the overall pressure ratio is keptconstant at values lower than 50, the gas SP seems to play arole in the CC efficiency. This increases as the gas specic

    power increases [15]. The reason for this is related to thesimultaneous increasing of the EGT, which means thatmore heat was still available to be transformed into usefulpower in the steam turbine.

    For high values of overall pressure ratio, things wererather different. In this case, a relationship between theLP compressor pressure ratio and CC efficiency was readilyvisible. The lower is the LP pressure ratio, the higher is theCC efficiency. This tendency was valid independently of the

    value of overall pressure ratio. Because a reheating systemwas working at the inlet of the LP turbine, the EGT couldonly be inuenced by the LP compressor pressure ratio.

    Table 4Selection of optimum GT with reheat (TET = 1561 K)

    RC (overall) RC,LPC · RC, HPC g GT (%) Exh. ow(kgr/s)

    EGT (K) St. ow(kgr/s)

    X ACT(%)

    g STEAM

    (%)P STEAM(MW)

    CCPP(MW)

    g CCPP

    (%)

    30 15 ·

    2 35.87 551.9 869.5 80.47 9.9 36.1 99.3 299.3 53.742 11.05 · 3.8 34.86 527.8 915.5 82.17 7.8 36.6 107.2 307.2 53.542 14 · 3 35.70 540.0 885.0 80.77 9.2 36.3 101.3 301.3 53.849 11.66 · 4.2 34.56 534.9 917.6 84.17 7.7 36.7 109.2 309.2 53.4

    12.25 · 4 34.80 536.3 911.1 83.54 8.0 36.6 107.7 307.7 53.522.27 · 2.2 36.68 582.7 823.6 78.22 12.0 35.5 91.9 291.9 53.5

    54 13.5 · 4 34.81 544.3 902.0 83.62 8.4 36.5 106.7 306.7 53.457 14.25 · 4 34.76 550.3 897.6 83.97 8.6 36.4 106.7 306.7 53.364 16 · 4 34.65 563.4 887.6 84.62 9.1 36.3 106.4 306.4 53.164 21.33 · 3 35.84 582.9 841.8 60.97 11.2 35.7 97.0 297.0 53.2

    Fig. 21. Intercooled reheated cycle GT layout. ‘Brick’ and ‘station vector’ model.

    TET=1508 K

    RLPC droppingRHPC rising

    60

    61

    62

    63

    64

    65

    66

    67

    6869

    440 450 460 470 480 490 500 510Specific Power (kW/(kgr/s))

    s f c

    ( g r /

    M J )

    Rc,total=50Rc,total=60Rc,total=70

    Fig. 22. Intercooled reheated cycle design point performance.

    70

    90

    110

    130

    150

    170

    190

    210

    230

    250

    1470 1490 1510 1530TET (K)

    P o w e r

    ( M W )

    Tamb =-20°

    C

    Tamb =0°

    C

    Tamb =15°

    C

    Tamb =40°

    C

    Fig. 23. Power versus TET varying T amb (IC/RH).

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    This means that as the LP pressure ratio decreased, theEGT increased and, consequently, so did the CC efficiency.The simultaneous reduction in GT efficiency could not mit-

    igate the stronger effect of exhaust gas temperature.The above outlined observations conrmed the initial

    assumption that the best gas turbine from the stand point

    of fuel consumption is not necessarily the engine that bestmatches a steam cycle in a CCPP. The nal result of thisanalysis was the selection of an IC/RG GT having a pres-sure ratio of 60 (4.5 · 13.33) and red at 1508 K ( Table 5 ).

    7. Engine selection – multi-criteria analysis

    The nal target of this work is the selection of the enginewith the best performance from the point of view of vari-ous technical and economical considerations. A numberof criteria were chosen to give an impression of the CC per-formance. The criteria that were employed for this studywere, in order of importance: [16,17]

    1. Combined cycle efficiency, indicative of long term prof-itability of the plant.

    2. Cost, entailing the gas turbine layout and complexityand its exhaust ow, which determines the size of thesteam plant.

    3. GT efficiency. A CCPP will usually operate on gas tur-bine alone until the steam plant is completed or duringsteam system downtime.

    4. Boiler pressure, which gives an indication of the steamplant complexity and cost of GT.

    5. TET, indicating the life and reliability/availability of thegas turbine.

    6. Off design performance.

    Many other criteria can be mentioned such as EGT, exit

    mass ow, maintenance, sale policy etc. The nal selectionwas made using a matrix method employing weight factors.Table 6 lists the main performance characteristics for the

    cycles investigated. The next step is to compare this enginewith different cycles, engines specications of which aresimilar.

    The use of multi-objective optimization made the selec-tion of the Brayton cycle most suitable for a combinedcycle. The technique consists in choosing the most salientparameters that inuence the performance of the alterna-tives examined. Each of these characteristics is then com-pared on its own, for every alternative, and a score isassigned to it on a common scale basis. The engine having,at the end, the highest score, including all the criteria, isdeemed to be the most feasible for the successive stagesof the evaluation. The relative importance of each criterionis represented by the adoption of an appropriate weightingfactor ( Table 7 ).

    The method is very sensitive to the weighting factors andto the score assigned to each alternative for each criterion.Therefore, it must be consider as a rst and delicateapproach to the selection. The nal result is very dependenton the experience of the persons doing the analysis. In par-ticular, the following procedure is adopted in this paper.

    Table 7 shows the weight factors that were eventuallyassigned to each of these criteria. Next, the cycles wereranked for each of these criteria. In the case of points 1and 3, the cycle with the best performance was given 100

    110

    130

    150

    170

    190

    210

    1470 1490 1510 1530TET (K)

    P o w e r

    ( M W )

    Altitude= 500 m

    Altitude=1500 m

    Altitude=2500 m

    Fig. 24. Power versus TET varying altitude (IC/RH).

    32

    33

    34

    35

    36

    37

    38

    39

    1470 1490 1510 1530TET (K)

    E f f i c i e n c y

    ( % )

    Tamb =-20°

    CTamb =0

    °

    CTamb =15

    °

    CTamb =40

    °

    C

    Fig. 25. Efficiency versus TET varying T amb (IC/RH).

    34

    35

    36

    37

    38

    39

    40

    1470 1490 1510 1530TET (K)

    E f f i c i e n c y

    ( % )

    Altitude=500 m

    Altitude=1500 m

    Altitude=2500 m

    Fig. 26. Efficiency versus TET varying altitude (IC/RH).

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    points and the others were scaled according to their relativeperformance. The cost was evaluated by giving the cyclewith the simplest layout the highest points, simple cycle

    10 points, IC 8 points, RH 6 points and IC/RH 4 points.Then, these numbers were multiplied by factors expressingthe relative size of the steam plant. This factor was calcu-lated by dividing the smallest mass ow by each exhaust

    mass ow. The OD performance was taken into accountby giving 10, 9, 8 and 7 points to the IC/RH, IC, RHand simple cycle gas turbines, respectively.

    Finally, these rankings were all scaled to give the samesum of all individual rankings for each column, i.e., 385.They were then multiplied by the appropriate weight factorand added for each cycle conguration. The cycle with themost points is the most favourable according to this anal-ysis. It is clear that the reheated gas turbine cycle emergesas the most suitable cycle for the CCPP.

    In the case of the GT with reheat, the problem lies in thepart load. The problem is located mainly with the LPC,which is forced to go towards the surge line. There are

    Table 5Selection of optimum intercooled reheated cycle GT (TET = 1508 K)

    RC,TOTAL RC,LPC · RC,HPC g GT(%)

    SPGT(J/kgr)

    Exh. ow(kgr/s)

    EGT(K)

    St. ow(kgr/s)

    X ACT(%)

    g STEAM

    (%)P STEAM(MW)

    CCPP(MW)

    g CCPP

    (%)

    40 2 ·

    20 29.98 413,200 448.3 1059 1059 13 35.56 116.1 316.1 47.395 · 8 35.92 480,800 505.7 874 874 11.3 35.59 90.7 290.7 50.226.32 · 6.32 35.73 475,100 433.4 842 842 11.3 35.53 71.8 271.8 48.557 · 5.71 35.49 470,600 438.1 829 829 11.1 35.50 70.1 270.1 47.9310 · 4 33.83 444,400 442.2 789 789 11.0 34.92 62.3 262.3 44.37

    50 2 · 25 28.85 400,800 450.3 1077 1077 13.1 35.59 12.3 320.3 46.15 · 10 36.57 492,600 520.2 871 871 11.3 35.58 92.7 292.7 50.526.5 · 7.69 36.68 490,200 421.8 831 831 11.2 35.51 67.9 267.9 49.127.07 · 7.07 36.50 486,600 424.7 820 820 11.2 35.49 66.3 266.3 48.618 · 6.25 36.18 480,800 427.8 804 804 11.0 35.09 63.2 263.2 47.62

    60 3 · 20 34.96 463,000 449.9 978 449.9 12.5 37.71 106.8 306.8 53.635 · 12 36.92 500,000 416.7 871 416.7 11 36.93 77.0 277.0 51.146 · 10 37.22 501,300 415.6 840 415.6 10.9 35.75 68.9 268.9 50.047.74 · 7.74 37.04 495,000 420.6 802 420.6 10.9 35.07 61.8 261.8 48.48

    10 · 6 36.06 478,500 422.7 771 422.7 10.6 33.96 54.9 254.9 45.9670 4 · 17.5 35.40 490,200 425.1 919 425.1 12 36.94 87.6 287.6 50.91

    7 · 10 37.60 506,300 411.4 815 411.4 11.2 35.61 63.6 263.6 49.568.36 · 8.36 37.33 500,000 416.5 789 416.5 10.9 34.92 58.7 258.7 48.2810 · 7 36.79 490,200 424.1 765 424.1 10.8 33.62 53.5 253.5 46.6311 · 6.36 36.27 481,900 431.9 754 431.9 10.8 33.49 52.4 252.4 45.7817.5 · 4 32.76 430,100 483.2 706 483.2 10.5 31.29 46.4 246.4 40.35

    Table 6Comparison of gas turbine cycles for CCPP

    Simple cycle Intercooler Reheat Interc./Reh.

    RC (overall) (–) 16 12.6 49 60Exh. ow (kgr/s) 716.4 654.2 536 418.5g GT (%) 33.46 33.79 34.8 36.89g ST (%) 34.5 35.6 36.6 36.93Boiler pressure (bar) 80 80 80 80Cont. pressure (bar) 0.06 0.04 0.045 0.005X ACT (%) 12.8 12.9 8 11CCPP power (MW) 301.1 300.0 307.7 277g CCPP (%) 50.37 50.7 53.5 51.14

    Table 7Selection of optimum GT cycle for CCPP

    g CC Cost g GT Boiler pr. TET OD perform. Total

    Rank 1 2 3 4 5 6Weight factor 0.296 0.222 0.185 0.185 0.074 0.038 1.0SC 94 115 93 90 94 79 2

    27.88 25.54 17.15 16.74 6.92 3.01 97.24

    IC 95 76 93 113 94 102 328.06 16.77 17.24 20.93 6.92 3.87 93.79

    RC 100 123 96 90 94 90 129.60 27.29 17.83 16.74 6.92 3.44 101.82

    IC/RH 96 71 102 91 104 113 428.30 15.80 18.91 16.75 7.69 4.30 91.75

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    two solutions to that problem. The rst is to put bleedducts at the end of the LPC, extracting the excess amountof air. This solution is simple and it has low initial cost butreduces the thermal efficiency of the GT, because power is

    consumed to compress all the LPC air and some amount of this compressed air simply goes away. The second, which isalso relatively simple and the more appropriate solution, isto install at the inlet of the LPC variable guide varies. Therequirement of decreased non-dimensional mass ow andhigher surge margin is achieved without waste of energy.

    The reheated GT cycle came out to be the most suitablecycle for the CC application.

    9. Conclusions

    Gas turbines will certainly play a major role in futurepower generation and several well justied concepts havebeen developed or are the subject of major feasibility stud-ies. However, the combined cycle is now well establishedand offers superior performance to any of the competingsystems that are likely to be available in the medium termfor large scale power generation applications. This workcontains an optimization analysis of four potential GTcycles, namely single cycle (SC), intercooled cycle (IC),reheated cycle (RH) and intercooled and reheated cycle(IC/RH).

    The design point and off design point performances of the four cycles alone or in combination with the steamcycle have been investigated. The three options, SC, IC

    and RH perform very similarly OD. The thermal efficien-cies and specic power outputs are not the optimum valuesthey would be for GT cycle operation. Furthermore, theIC/RH engine was run differently from the IC one. Whenthe ambient temperature changes, it is prudent to assumethat the intercooler exit temperature changes simulta-neously. Cooling is usually achieved with water or airdrawn from the environment, which will vary in tempera-ture. This aspect was included in the IC gas turbine ODsimulation but not in the other two machines incorporatingintercooling. This explains the remarkably better perfor-mance of the latter two. At elevated ambient temperature,the cooling water temperature would increase simulta-neously. Consequently, the HP compressor inlet tempera-ture would be higher than in the DP situation. Thisadversely affects the gas turbine performance.

    The optimum gas turbine cycle to operate in a combinedcycle power plant came out to be the reheated cycle. This is

    due to the high EGT = 911.1 K and steam ow =83.54 kgr/s, resulting in the steam cycle efficiency of 36.6% and the overall efficiency of 53.5%. It is worth men-tioning that a fraction of wetness of 8.0% is much lower

    than the acceptable limit of 13%, which simply meanslonger life for the installation. That parameter and alsothe increased surge problems of the LPC, made the 14 · 3GT reheated option not so attractive as the one that wasselected. The total power output is 307.7 MW, exceedingthe need of 300 MW and that gives the opportunity to‘‘scale’’ downwards since the size of the GT will decreasecosts.

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