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Thermoeconomic analysis of a cogeneration system of
a university campus
J. Luz-Silveira a,*, A. Beyene b
, E.M. Leal a
, J.A. Santana c
, D. Okada a
a
Department of Energy, College of Engineering, UNESP––S~
a
ao Paulo State University, Campus of Guaratinguet
a
a,
P.O. Box 205, Guaratinguet
a
a 12.516-410, SP, Brazil
b
Department of Mechanical Engineering, SDSU––San Diego State University, College of Engineering,
5500 Campanile Drive, San Diego, CA 92182, USA
c
Department of Mathematics, College of Engineering, UNESP––S~
a
ao Paulo State University, Campus of Guaratinguet
a
a,
P.O. Box 205, Guaratinguet
a
a 12.516-410, SP, Brazil
Received 13 May 2001; received in revised form 20 November 2001; accepted 25 April 2002
Abstract
In this paper, a thermoeconomic analysis method based on the First and the Second Law of Thermo-
dynamics and applied to analyse the replacement of an equipment of a cogeneration system is presented.
The cogeneration system consists of a gas turbine linked to a waste boiler. The electrical demand of the
campus is approximately 9 MW but the cogen system generates approximately one third of the university
requirement as well as 1.764 kg/s of saturated steam (at 0.861 MPa), approximately, from a single fuel
source. The energy-economic study showed that the best system, based on pay-back period and based on
the maximum savings (in 10 years), was the system that used the gas turbine ‘‘M1T-06’’ of Kawasaki Heavy
Industries and the system that used the gas turbine ‘‘CCS7’’ of Hitachi Zosen, respectively. The exergy-
economic study showed that the best system, which has the lowest EMC, was the system that used the gas
turbine ‘‘ASE50’’ of Allied Signal.
Ó 2002 Elsevier Science Ltd. All rights reserved.
Keywords: Gas turbine; Cogeneration; Energy-economic analysis; Exergetic manufacturing cost
1. Introduction
The successive energy crises have stimulated the study of more efficient ways for the use of the
available energy in fuels. As consequence new technical plants have been conceived seeking the
Applied Thermal Engineering 22 (2002) 1471–1483
www.elsevier.com/locate/apthermeng
*
Corresponding author. Fax: 55-12-525-2800.
E-mail address: joseluz@feg.unesp.br (J. Luz-Silveira).
1359-4311/02/$ - see front matter Ó 2002 Elsevier Science Ltd. All rights reserved.
PII: S1359-4311(02)00064-9
Nomenclature
CPF calorific power of the fuel (kJ/m3
)
Cp specific heat at constant pressure (kJ/kg K)
Cv specific heat at constant volume (kJ/kg K)
e specific exergy (kJ/kg)
Ec recovered heat (kW)
Ef thermal power supplied in fuel (kW)
EMC exergetic manufacturing cost (US$/kW h)
Ep generated electrical power output (kW)
Er electricity required by the building (kW)
Ex exergy (kW)
f annuity factor (1/year)
H equivalent utilisation period (h/year)
Hd maximum availability of the heat flow in the system (kW)
Hs useful thermal power in steam form (kW)
hs enthalpy of live steam (kJ/kW)
hw enthalpy of feeding water in the waste recuperation boiler (kJ/kg)
IPL plant capital cost including capital taxes and insurance (US$)
IWB waste recuperation boiler capital cost including capital taxes and insurance (US$)
K polytropic coefficient (Cp=Cv)
k pay-back period (years)
Los energy losses in the gas turbine system (kW)
m mass of exhaust gases (kg/s)
mg fuel consumption (m3
/s)
ms mass of steam (kg/s)
P1 compressor inlet pressure or ambient pressure (N/m2
)
P2 compressor exit pressure (N/m2
)
P3 turbine inlet pressure (N/m2
)
P4 turbine exit pressure (N/m2
)
PEs equivalent price of steam in a conventional boiler (US$/kW h)
R total annual saving (US$/year)
RP compressor pressure ratio
r annual interest rate (%)
Sel annual saving for the electricity production (US$/year)
Ss annual saving for the steam production (US$/year)
T1 compressor inlet temperature or ambient temperature (K)
T2 compressor exit temperature (K)
T3 turbine inlet temperature (K)
T4 turbine exit temperature (K)
Te exhaust gases temperature in the atmosphere (K)
Tel electricity tariff (US$/kW h)
1472 J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483
primary energy conservation. Cogeneration may be defined as the simultaneous production of
electrical or mechanical energy and useful thermal energy from a single energy source, such as oil,
coal, natural or liquefied gas, biomass, or solar. By capturing or applying heat from an effluent
energy source that would otherwise be rejected to the environment, cogeneration system can
operate at efficiencies greater then those achieved when heat and power are produced in separate
or distinct processes.
This paper presents the application of a methodology for the thermoeconomic feasibility study
of the replacement of a gas turbine cogeneration plant that exists on a university campus. This
system in addition to generating electricity allows the recuperation of residual heat that is utilised
as a source of energy for the production of steam in a recuperation boiler.
2. The energy requirements and the cogeneration system
This study analysed the case of San Diego State University (SDSU) in the State of California,
USA. San Diego State University utility plants operate 24 h a day, every day of the year. They
purchase electricity and natural gas from San Diego Gas and Electric, and purchase their water
and sewer services from the City of San Diego. Through campus utility plants managed by
Physical Plant, they generate their own steam, chilled water, and a significant portion of their
electricity with their cogeneration plant.
The cogeneration plant is a 466.84 m2
tilt-up concrete structure. This single story building
houses a Solar Centaur gas turbine engine rated at about 3355.65 kW which drives a 3 MW
generator as well as a waste heat boiler run by exhaust gas routed from the turbine. The
TSel sale tariff of the electricity surplus (US$/kW h)
UGT maintenance cost of the gas turbine
URB maintenance cost of the waste recuperation boiler (US$/kW h)
URS maintenance cost absorption refrigeration system (US$/kW h)
W shaft work output (kW)
Yel cost of electricity production (US$/kW h)
Yf fuel cost (US$/kW h)
Ys cost of steam production (US$/kW h)
Greek Letters
gc compressor efficiency
gcc combustion chamber efficiency
gel efficiency of electricity generation
gg mechanical yield of the electrical generator
gG global efficiency
ghr efficiency of the heat recuperation
gt gas turbine thermal efficiency
gwb waste recuperation boiler efficiency
u maintenance factor
J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483 1473
cogeneration plant generates approximately one third of the campus’ electrical requirements as
well as 1.764 kg/s of saturated steam (at 0.861 MPa) from a single fuel source. Fig. 1 shows a
schematic of the current SDSU cogeneration plant.
3. Energy analysis
The following equations are based on the thermodynamic principals according to the indicated
procedures by Wu [1] and Taki et al. [2]. The equations are valid for any situation described in the
previous items.
T2 Âź T1=gc
ð Þ P2=P1
½ ðK1Þ=K
n
 1
o
þ T1T2 ð1Þ
T3 Âź Ă°T4
½
f  T1Þ þ T2ð1  gtÞ=ð1  gtÞg ð2Þ
Ef ¼ mCpðT3  T2Þ=gcc ¼ mgCPF ð3Þ
W ¼ mCp½ðT3  T4Þ  ðT2  T1Þ ð4Þ
Hd ¼ mCpðT4  T1Þ ð5Þ
Ep ¼ ggW ð6Þ
gt Âź gcc Ă°T3
½  T4  T2 þ T1Þ=ðT3  T2Þ ð7Þ
gel ¼ Ep=Ef ð8Þ
Ec ¼ mCpðT4  TeÞ ð9Þ
Fig. 1. Schematic of the current SDSU cogeneration plant.
1474 J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483
ghr ¼ Ec=Ef ð10Þ
gG ¼ ðEp þ EcÞ=Ef ¼ gel þ ghr ð11Þ
To calculate the recovered heat flux in the form of steam Eq. (12) may be used.
Hs ¼ msðhs  hwÞ ¼ wbEc ð12Þ
Table 1
Gas turbines systems selected [3]
Reference Manufacturer Models Ep (kW) gT (%) m (kg/s) T4 (°C)
1 Deutz MWM-Gastechnik RA 151 4907a
30.57a
19.69a
476.67a
4459b
29.87b
18.11b
490.97b
2 Ishikawajima–Harima
Heavy Industries
IM400
HI-FLECS
6450a
37.91a
18.51a
496.67a
5861b
37.04b
17.03b
511.57b
3 Solar Turbines Taurus 60S 5200a
30.33a
21.36a
480.56a
4725b
29.63b
19.66b
494.98b
4 Deutz MWM-Gastechnik RA 141 4214a
29.92a
17.74a
510.00a
3829b
29.23b
16.32b
525.30b
5 European Gas Turbines Typhoon 4.3 4340a
29.92a
17.74a
510.00a
3944b
29.23b
16.32b
525.30b
6 European Gas Turbines Typhoon 4.7 4694a
30.38a
18.78a
510.56a
4226b
29.69b
17.28b
525.88b
7 Solar Turbines Centaur 50S 4345a
29.23a
19.01a
501.11a
3949b
28.56b
17.85b
516.14b
8 Stewart  Stevenson TG-Typhoon 4907a
30.62a
19.69a
513.89a
4459b
29.92b
18.11b
529.31b
9 Hitachi Zosen CCS7 5943a
38.54a
17.92a
524.44a
5,401b
37.66b
16.48b
540.17b
10 Kawasaki Heavy Industries M1T-03 2680a
20.30a
18.10a
540.00a
2435b
19.83b
16.65b
556.20b
11 Kawaski Heavy Industries M1T-06 2670a
20.98a
18.60a
525.00a
2426b
20.50b
17.11b
540.75b
12 Allison Engine Company 501-KB5 3926a
28.67a
15.60a
549.44a
3568b
28.02b
14.35b
565.92b
13 Dresser–Rand KG2-3E 1830a
16.19a
14.97a
550.00a
1663b
15.82b
13.77b
566.50b
14 Allied Signal ASE50 3815a
30.71a
14.29a
562.22a
3,467b
30.00b
13.15b
579.09b
15 Allison Engine Company 501-KB5S 4103a
29.49a
15.60a
579.44a
3729b
28.82b
14.36b
596.82b
16 Centrax Gas Turbine CX501-KB5 3832a
27.90a
15.69a
571.00a
3482b
27.26b
14.44b
588.13b
17 Hitachi Zosen GT10-5 4096a
28.81a
15.60a
576.67a
3722b
28.15b
14.36b
593.97b
18 Ishikawajima–Harima
Heavy Industries
IM400 4540a
29.77a
16.42a
577.22a
4126b
29.09b
15.11b
594.54b
a
ISO conditions.
b
Local conditions.
J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483 1475
In order to select gas turbine systems commercially available, the following considerations were
made [4]:
(a) The gas turbine systems were selected in the ISO conditions (ambient temperature of 15 °C; sea
level; relative humidity of 60%) and for the performance correction on site were used the local
conditions (average ambient temperature of 25 °C; relative humidity of 80%);
(b) exhaust gases temperature in the atmosphere in steam production at 150 °C (‘‘pinch-point’’
method);
(c) for the calorific power of natural gas the value of 35,356 kJ/N m3
was used;
(d) for specific heat at constant pressure the value of 1.055 kJ/kg K was used;
(e) for the mechanical yield of the electrical generator was used the value of 95%;
(f) for the combustion chamber efficiency, the value of 97% was used;
(g) for the waste recuperation boiler was used the value of 70%.
Considering the necessary values for the mass flux of exhaust gases and turbine exit temper-
ature, the turbine systems selected are shown in Table 1. These equipments are selected in thermal
parity. Table 2 displays the results of energy analysis of the turbine systems selected.
4. Energy-economic analysis
The investment decisions are usually based on capital costs and on the payback period. The
costs of electricity and steam production can be determined from the Eqs. (13)–(16) [4]. These
Table 2
Results for energy analysis of the systems selected
Reference Manufacturer Models Ef (kW) Ec (kW) gel (%) ghr (%) gG (%)
1 Deutz MWM-Gastechnik RA 151 15,715.23 6555.481 28.38 29.46 57.83
2 Ishikawajima-Harima
Heavy Industries
IM400
HI-FLECS
16,655.77 6624.998 35.19 28.09 63.28
3 Solar Turbines Taurus 60S 16,784.89 7142.096 28.15 30.05 58.20
4 Deutz MWM-Gastechnik RA 141 13,788.41 6649.257 27.77 34.05 61.83
5 European Gas Turbines Typhoon 4.3 14,200.69 6649.257 27.77 33.07 60.84
6 European Gas Turbines Typhoon 4.7 15,126.00 7003.682 28.20 32.70 60.90
7 Solar Turbines Centaur 50S 14,554.90 6876.817 27.13 33.37 60.49
8 Stewart  Stevenson TG-Typhoon 15,687.07 7376.283 28.43 33.21 61.63
9 Hitachi Zosen CCS7 15,095.89 7000.620 35.78 32.75 68.52
10 Kawasaki Heavy Industries M1T-03 12,926.03 7380.537 18.84 40.32 59.16
11 Kawaski Heavy Industries M1T-06 12,460.28 7246.198 19.47 41.07 60.54
12 Allison Engine Company 501-KB5 13,404.78 6651.547 26.61 35.04 61.66
13 Dresser-Rand KG2-3E 11,063.14 6427.239 15.03 41.03 56.06
14 Allied Signal ASE50 12,163.24 6376.801 28.50 37.02 65.53
15 Allison Engine Company 501-KB5S 13,620.64 7185.013 27.37 37.25 64.63
16 Centrax Gas Turbine CX501-KB5 13,447.76 7070.278 25.90 37.13 63.02
17 Hitachi Zosen GT10-5 13,917.06 7135.573 26.75 36.21 62.95
18 Ishikawajima–Harima
Heavy Industries
IM400 14,928.05 7471.048 27.64 35.34 62.98
1476 J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483
equations consider all the pertinent aspects for the construction and operation of a cogeneration
plant, since they do not fasten important parameters such as the total plant capital cost including
capital taxes and insurance (IPL) or interest rate (r).
Yel Âź Ă°IPL
½  IHRÞf =ðHEpÞ þ ðYf =EpÞðEf

 Ec  ðLos=2ÞÞ

þ UGT ð13Þ
Ys Âź IRBf
½ =ðHHsÞ þ ðYf =HsÞðEc
½ þ ðLos=2ÞÞ þ URB ð14Þ
f Âź qk
q
Ă°

 1Þ

= qk

 1

ð15Þ
q Âź 1 Ăž r=100
ð Þ ð16Þ
In these equations (Eqs. (13)–(16)), the cost of electricity production (Yel) and steam production
(Ys) is a function of the plant capital cost including capital taxes and insurance (IPL), the operation
cost and maintenance cost. The annuity factor (f) associated to the plant capital cost is a function
of payback period (k) and the annual interest rate (r).
Eqs. (17) and (18) show the savings due to electric power production in case of electrical surplus
and in case of an electrical deficit, respectively. The savings due to steam production can be
determined by using the Eq. (19). The total annual saving is calculated using the Eq. (20) [4].
Sel ¼ ErHðTel  YelÞ þ ðEp  ErÞHðTSel  YelÞ ð17Þ
Sel ¼ EpHðTel  YelÞ ð18Þ
Ss ¼ HsHðPEs  YsÞ ð19Þ
R ¼ Sel þ Ss ð20Þ
Table 3 shows the considerations for the energy-economic analysis applied to the cogeneration
plant. Table 4 displays the cogeneration products costs for the energy-economic analysis.
5. Exergy-economic analysis
The development of design techniques for an energy system with minimized costs is a necessity
in a world with finite natural resources and the increase of the energy demand. The presented
method combines the Second Law of Thermodynamics through the exergy concept, associated to
Table 3
Considerations for energy-economic analysis [4]
Annual interest rate (r) 8%
Fuel cost (Yf ) 0.0200 US$/kW h
Electricity tariff (Tel) 0.1000 US$/kW h
Sale tariff of the electricity surplus (TSel) 0.0800 US$/kW h
Pay-back period (k) 10 years
Equivalent utilization period (H) 7200 h/year
Electricity required (Er) 3000 kW
J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483 1477
an economical approach of the thermal system. For the analysis of the cogeneration system in
question, the following steps were taken:
1. identification of the system functions of cogeneration as a whole and each unit individually;
2. evaluation of the exergy input and output stream value of each unit;
3. construction of the thermoeconomic function diagram;
4. selection of the fixed parameters and its values;
5. formulation of the exergetic increment function associated with the output and input of each
unit;
6. formulation of the exergetic manufacturing cost equation.
According to Moran and Sciubba [5] and Kotas [6], in the evaluation of the exergy input and
output stream value of each unit, the steam exergy is defined by:
ei ¼ ½ðhi  hoÞ  Toðsi  soÞ ð21Þ
The exergy of the air and gas stream are defined by [4]:
ei ¼ CpGðTiÞ: Ti
½  To ln Ti=To
ð Þ þ RGTo ln Pi=Po
ð Þ ð22Þ
where: CpG
is Cpair
or Cpgas , for specific heat of air and gases, respectively.
Table 4
Results for energy-economic analysis (cogeneration products costs)
Manufacturer Models For k Âź 10 years Based on pay
back period
Electricity Steam Savingsa
Yel (US$/kW h) Ys (US$/kW h) R (US$/year) k (year)
Deutz MWM-Gastechnik RA 151 0.0591 0.0496 2,972,185 1.10
Ishikawajima–Harima
Heavy Industries
IM400
HI-FLECS
0.0558 0.0483 3,381,534 1.21
Solar Turbines Taurus 60S 0.0588 0.0491 3,203,936 1.01
Deutz MWM-Gastechnik RA 141 0.0580 0.0464 3,040,208 1.00
European Gas Turbines Typhoon 4.3 0.0583 0.0471 3,027,733 1.02
European Gas Turbines Typhoon 4.7 0.0578 0.0472 3,194,990 1.02
Solar Turbines Centaur 50S 0.0586 0.0470 3,087,812 1.08
Stewart  Stevenson TG-Typhoon 0.0573 0.0467 3,370,287 0.99
Hitachi Zosen CCS7 0.0534 0.0448 3,629,887 1.06
Kawasaki Heavy Industries M1T-03 0.0659 0.0453 2,860,070 0.93
Kawaski Heavy Industries M1T-06 0.0647 0.0448 2,857,643 0.92
Allison Engine Company 501-KB5 0.0587 0.0462 2,988,714 0.99
Dresser-Rand KG2-3E 0.0744 0.0459 2,256,037 0.97
Allied Signal ASE50 0.0567 0.0445 2,993,921 0.97
Allison Engine Company 501-KB5S 0.0568 0.0447 3,280,092 0.94
Centrax Gas Turbine CX501-KB5 0.0583 0.0451 3,148,199 0.95
Hitachi Zosen GT10-5 0.0578 0.0454 3,211,048 0.96
Ishikawajima–Harima
Heavy Industries
IM400 0.0571 0.0456 3,391,485 0.96
a
Maximum savings.
1478 J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483
5.1. Thermoeconomic functional diagram
The functional diagram of the cogeneration system, which allows the intended analysis, is
composed of geometric figures representing the units and a network of lines representing the
unitary function distributions in terms of exergy. These units correspond to the real plant’s
components. The notation Yi;j (jth input of ith unit) and Yik (kth output of ith unit) is used by
Frangopoulos and Evans [7] and Tuna and Silveira [8].
Fig. 2 shows the functional diagram of the system presented in Fig. 1. It is important, to follow
the development of the proposed method of this work, notice that each unit (or component) will
receive an identification number. It is also essential to understand the transposition of Fig. 1
(physical diagram) to Fig. 2 (functional diagram) that considered fluxes refers to the exergetic
increment and not to the absolute value of this thermodynamic property.
The frontier functional line is the one that takes apart the supplies and the products of the
system from the environment and leaves the process outside.
To evaluate the exergetic functions associated to the functional thermoeconomic diagrams and
in order to simplify the calculation procedures, the loss in the pipes was neglected.
Fig. 2. Cogeneration system functional diagram.
J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483 1479
5.2. Exergetic increment function
From the physical diagram (Fig. 1) and from the thermodynamic property values of input and
output of each component, it is possible to obtain the exergetic increment functions associated
with the functional thermoeconomic diagram (Fig. 2). With this procedure, these expressions for
these functions are [8]:
Unit A: Compressor
YA;1 Âź Exair
ð23Þ
YA;2 ¼ Wcomp ð24Þ
YA1 ¼ mairðe2  e1Þ ð25Þ
Unit B: Combustion chamber
YB;1 Âź Exfuel
ð26Þ
YB;2 ¼ YA1 ð27Þ
YB1 ¼ Exgases ¼ mgasese3 ð28Þ
Unit C: Gas turbine
YC;1 ¼ YB1 ð29Þ
YC;3 ¼ YA;2 ð30Þ
YC1 ¼ Ep ð31Þ
YC2 ¼ mgasese4 ð32Þ
Unit D: Waste boiler
YD;1 ¼ YC2 ð33Þ
YD;2 ¼ mwf e9 ð34Þ
YD1 Âź mwf e7
ð  e9Þ ð35Þ
YD2 Âź mgases e5
ð  e4Þ ð36Þ
Unit F: Pump
YF1 ¼ YD;2 ð37Þ
YF;1 Âź mwf e7
ð  e8Þ ð38Þ
YF;2 ¼ Wpump ð39Þ
1480 J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483
5.3. Thermoeconomic cost equations
Fig. 3 shows the costs diagram. The exergetic manufacturing cost (EMC) is defined by the
produced electricity cost plus the consumed steam cost plus the electricity cost bought from the
concessionaire in deficit situation (Eq. (40)) or minus the earnings received from the sell of
the electricity exceeding (Eq. (41)). Eqs. (42) and (43) show the expressions of specific costs Yel and
Ys, respectively [8].
EMC ¼ EpYel þ EcYs þ ðEr  EpÞTel ð40Þ
EMC ¼ EpYel þ EcYs  ðEp  ErÞTSel ð41Þ
Yel Âź
ðIPL  IWBÞf u
HYC1
Ăž Yf
ðYB;1  YD2Þ
YC1
ð42Þ
Ys Âź
IWBf u
HYD2
Ăž Yf
YB1
YD2
ð43Þ
Fig. 3. The cost diagram.
Table 5
Results for exergy-economic optimization.
Reference Manufacturer Models Electricity (Yel)
(US$/kW h)
Steam (Ys)
(US$/kW h)
EMC
(US$/year)
1 Deutz MWM-Gastechnik RA 151 0.1542 0.2103 6,483,294
2 Ishikawajima–Harima
Heavy Industries
IM400
HI-FLECS
0.1358 0.1961 6,324,524
3 Solar Turbines Taurus 60S 0.1554 0.2079 6,852,354
4 Deutz MWM-Gastechnik RA 141 0.1693 0.1971 6,458,717
5 European Gas Turbines Typhoon 4.3 0.1661 0.1997 6,469,866
6 European Gas Turbines Typhoon 4.7 0.1626 0.1997 6,679,015
7 Solar Turbines Centaur 50S 0.1687 0.2000 6,625,946
8 Stewart  Stevenson TG-Typhoon 0.1629 0.1978 6,909,216
9 Hitachi Zosen CCS7 0.1436 0.1820 6,410,176
10 Kawasaki Heavy Industries M1T-03 0.2354 0.1950 7,007,572
11 Kawaski Heavy Industries M1T-06 0.2340 0.1927 6,902,036
12 Allison Engine Company 501-KB5 0.1765 0.1963 6,466,572
13 Dresser-Rand KG2-3E 0.2775 0.1980 6,472,360
14 Allied Signal ASE50 0.1755 0.1880 6,191,836
15 Allison Engine Company 501-KB5S 0.1781 0.1898 6,724,540
16 Centrax Gas Turbine CX501-KB5 0.1842 0.1923 6,695,837
17 Hitachi Zosen GT10-5 0.1775 0.1931 6,724,447
18 Ishikawajima–Harima
Heavy Industries
IM400 0.1710 0.1938 6,936,902
J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483 1481
Table 5 shows the specific costs associated to the cogeneration products and the value of the
exergetic manufacturing cost. In Table 5, the best system, which has the lowest EMC, is the
system that used the gas turbine ‘‘ASE50’’ of Allied Signal followed by ‘‘IM400 HI-FLECS’’ of
Ishikawajima–Harima Heavy Industries. This result is associated with the irreversibility level of
each system and other parameters as the electricity sell price and the plant investment.
6. Conclusions
The feasibility of the replacement of the gas turbine system in a gas turbine cogeneration system
existing on a university campus has been shown. The system design and operational parameters
are important to evaluate cogeneration systems. The energy-economic study shown that the best
system, based on pay-back period, was the system that used the gas turbine ‘‘M1T-06’’ of Ka-
waski Heavy Industries followed by ‘‘M1T-03’’ of Kawasaki Heavy Industries. The best system,
based on the maximum savings (in 10 years), was the system that used the gas turbine ‘‘CCS7’’ of
Hitachi Zosen followed by ‘‘IM400’’ of Ishikawajima–Harima Heavy Industries.
The development of the EMC method, overcoming the initial complexities, is revealed a
powerful tool of optimization in cogeneration context. The advantage of this method is its lowest
computational time, because it is a direct algebraic method, easy to handle and to change its
parameters to others. In this paper, the exergy-economic study shown that the best system, which
has the lowest EMC, was that that used the gas turbine ‘‘ASE50’’ of Allied Signal followed by
‘‘IM400 HI-FLECS’’ of Ishikawajima–Harima Heavy Industries.
Acknowledgement
The authors wish to express their thanks to support of FAPESP (Fundac
ß~
a
ao de Amparo a
Pesquisa do Estado de S~
a
ao Paulo––Brazil, Process number 99/08851-0).
References
[1] C. Wu, Power optimization of an endoreversible Brayton gas heat engine, Energy Conversion Management 31
(1991) 561–565.
[2] Y. Taki, R.F. Babus’Haq, R.L. Elder, S.D. Propert, Design and analysis of a compact gas turbine for CHP system,
Heat Recovery System and CHP 11 (1991) 149–160.
[3] V. Biasi, For project planning, design and construction––gas turbine world, in: The 1997–98 Handbook, Pequot
Publishing, Washington, 1999.
[4] J.L. Silveira, A.C.S. Walter, C.A. Luengo, A case study of a compact cogeneration system for a hospital––techno-
economic analysis, Proceedings of third Asian-Pacific International Symposium on Combustion and Energy
Utilization, vol. 2, 1992, pp. 756–762.
[5] M. Moran, E. Sciubba, Exergy analysis: principles and practice, Journal of Engineering for Gas Turbines and Power
116 (1994) 285–290.
[6] T.J. Kotas, The Exergy Method of Thermal Plant Analysis, Anchor Brendon Ltd., Great Britain, 1985.
1482 J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483
[7] C.A. Frangopoulos, R.B. Evans, Thermoeconomic isolation and the optimization of thermal systems components,
in: A. Bejan, R.L. Reid (Eds.), Second Law Aspects of Thermal Design, American Society of Mechanical Engineers,
New York, 1984.
[8] Heat and power systems, Proceedings of fifth ASME/JSME Thermal Engineering Joint Conference, CD-ROM,
1999, pp. 1–7.
J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483 1483
All in-text references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately.

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A Contribution For Thermoeconomic Modelling A Methodology Proposal

  • 1. Thermoeconomic analysis of a cogeneration system of a university campus J. Luz-Silveira a,*, A. Beyene b , E.M. Leal a , J.A. Santana c , D. Okada a a Department of Energy, College of Engineering, UNESP––S~ a ao Paulo State University, Campus of Guaratinguet a a, P.O. Box 205, Guaratinguet a a 12.516-410, SP, Brazil b Department of Mechanical Engineering, SDSU––San Diego State University, College of Engineering, 5500 Campanile Drive, San Diego, CA 92182, USA c Department of Mathematics, College of Engineering, UNESP––S~ a ao Paulo State University, Campus of Guaratinguet a a, P.O. Box 205, Guaratinguet a a 12.516-410, SP, Brazil Received 13 May 2001; received in revised form 20 November 2001; accepted 25 April 2002 Abstract In this paper, a thermoeconomic analysis method based on the First and the Second Law of Thermo- dynamics and applied to analyse the replacement of an equipment of a cogeneration system is presented. The cogeneration system consists of a gas turbine linked to a waste boiler. The electrical demand of the campus is approximately 9 MW but the cogen system generates approximately one third of the university requirement as well as 1.764 kg/s of saturated steam (at 0.861 MPa), approximately, from a single fuel source. The energy-economic study showed that the best system, based on pay-back period and based on the maximum savings (in 10 years), was the system that used the gas turbine ‘‘M1T-06’’ of Kawasaki Heavy Industries and the system that used the gas turbine ‘‘CCS7’’ of Hitachi Zosen, respectively. The exergy- economic study showed that the best system, which has the lowest EMC, was the system that used the gas turbine ‘‘ASE50’’ of Allied Signal. Ó 2002 Elsevier Science Ltd. All rights reserved. Keywords: Gas turbine; Cogeneration; Energy-economic analysis; Exergetic manufacturing cost 1. Introduction The successive energy crises have stimulated the study of more efficient ways for the use of the available energy in fuels. As consequence new technical plants have been conceived seeking the Applied Thermal Engineering 22 (2002) 1471–1483 www.elsevier.com/locate/apthermeng * Corresponding author. Fax: 55-12-525-2800. E-mail address: joseluz@feg.unesp.br (J. Luz-Silveira). 1359-4311/02/$ - see front matter Ó 2002 Elsevier Science Ltd. All rights reserved. PII: S1359-4311(02)00064-9
  • 2. Nomenclature CPF calorific power of the fuel (kJ/m3 ) Cp specific heat at constant pressure (kJ/kg K) Cv specific heat at constant volume (kJ/kg K) e specific exergy (kJ/kg) Ec recovered heat (kW) Ef thermal power supplied in fuel (kW) EMC exergetic manufacturing cost (US$/kW h) Ep generated electrical power output (kW) Er electricity required by the building (kW) Ex exergy (kW) f annuity factor (1/year) H equivalent utilisation period (h/year) Hd maximum availability of the heat flow in the system (kW) Hs useful thermal power in steam form (kW) hs enthalpy of live steam (kJ/kW) hw enthalpy of feeding water in the waste recuperation boiler (kJ/kg) IPL plant capital cost including capital taxes and insurance (US$) IWB waste recuperation boiler capital cost including capital taxes and insurance (US$) K polytropic coefficient (Cp=Cv) k pay-back period (years) Los energy losses in the gas turbine system (kW) m mass of exhaust gases (kg/s) mg fuel consumption (m3 /s) ms mass of steam (kg/s) P1 compressor inlet pressure or ambient pressure (N/m2 ) P2 compressor exit pressure (N/m2 ) P3 turbine inlet pressure (N/m2 ) P4 turbine exit pressure (N/m2 ) PEs equivalent price of steam in a conventional boiler (US$/kW h) R total annual saving (US$/year) RP compressor pressure ratio r annual interest rate (%) Sel annual saving for the electricity production (US$/year) Ss annual saving for the steam production (US$/year) T1 compressor inlet temperature or ambient temperature (K) T2 compressor exit temperature (K) T3 turbine inlet temperature (K) T4 turbine exit temperature (K) Te exhaust gases temperature in the atmosphere (K) Tel electricity tariff (US$/kW h) 1472 J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483
  • 3. primary energy conservation. Cogeneration may be defined as the simultaneous production of electrical or mechanical energy and useful thermal energy from a single energy source, such as oil, coal, natural or liquefied gas, biomass, or solar. By capturing or applying heat from an effluent energy source that would otherwise be rejected to the environment, cogeneration system can operate at efficiencies greater then those achieved when heat and power are produced in separate or distinct processes. This paper presents the application of a methodology for the thermoeconomic feasibility study of the replacement of a gas turbine cogeneration plant that exists on a university campus. This system in addition to generating electricity allows the recuperation of residual heat that is utilised as a source of energy for the production of steam in a recuperation boiler. 2. The energy requirements and the cogeneration system This study analysed the case of San Diego State University (SDSU) in the State of California, USA. San Diego State University utility plants operate 24 h a day, every day of the year. They purchase electricity and natural gas from San Diego Gas and Electric, and purchase their water and sewer services from the City of San Diego. Through campus utility plants managed by Physical Plant, they generate their own steam, chilled water, and a significant portion of their electricity with their cogeneration plant. The cogeneration plant is a 466.84 m2 tilt-up concrete structure. This single story building houses a Solar Centaur gas turbine engine rated at about 3355.65 kW which drives a 3 MW generator as well as a waste heat boiler run by exhaust gas routed from the turbine. The TSel sale tariff of the electricity surplus (US$/kW h) UGT maintenance cost of the gas turbine URB maintenance cost of the waste recuperation boiler (US$/kW h) URS maintenance cost absorption refrigeration system (US$/kW h) W shaft work output (kW) Yel cost of electricity production (US$/kW h) Yf fuel cost (US$/kW h) Ys cost of steam production (US$/kW h) Greek Letters gc compressor efficiency gcc combustion chamber efficiency gel efficiency of electricity generation gg mechanical yield of the electrical generator gG global efficiency ghr efficiency of the heat recuperation gt gas turbine thermal efficiency gwb waste recuperation boiler efficiency u maintenance factor J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483 1473
  • 4. cogeneration plant generates approximately one third of the campus’ electrical requirements as well as 1.764 kg/s of saturated steam (at 0.861 MPa) from a single fuel source. Fig. 1 shows a schematic of the current SDSU cogeneration plant. 3. Energy analysis The following equations are based on the thermodynamic principals according to the indicated procedures by Wu [1] and Taki et al. [2]. The equations are valid for any situation described in the previous items. T2 Âź T1=gc Ă° Þ P2=P1 ½ Ă°K1Þ=K n 1 o Ăž T1T2 Ă°1Þ T3 Âź Ă°T4 ½ f T1Þ Ăž T2Ă°1 gtÞ=Ă°1 gtÞg Ă°2Þ Ef Âź mCpĂ°T3 T2Þ=gcc Âź mgCPF Ă°3Þ W Âź mCp½ðT3 T4Þ Ă°T2 T1Þ Ă°4Þ Hd Âź mCpĂ°T4 T1Þ Ă°5Þ Ep Âź ggW Ă°6Þ gt Âź gcc Ă°T3 ½ T4 T2 Ăž T1Þ=Ă°T3 T2Þ Ă°7Þ gel Âź Ep=Ef Ă°8Þ Ec Âź mCpĂ°T4 TeÞ Ă°9Þ Fig. 1. Schematic of the current SDSU cogeneration plant. 1474 J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483
  • 5. ghr Âź Ec=Ef Ă°10Þ gG Âź Ă°Ep Ăž EcÞ=Ef Âź gel Ăž ghr Ă°11Þ To calculate the recovered heat flux in the form of steam Eq. (12) may be used. Hs Âź msĂ°hs hwÞ Âź wbEc Ă°12Þ Table 1 Gas turbines systems selected [3] Reference Manufacturer Models Ep (kW) gT (%) m (kg/s) T4 (°C) 1 Deutz MWM-Gastechnik RA 151 4907a 30.57a 19.69a 476.67a 4459b 29.87b 18.11b 490.97b 2 Ishikawajima–Harima Heavy Industries IM400 HI-FLECS 6450a 37.91a 18.51a 496.67a 5861b 37.04b 17.03b 511.57b 3 Solar Turbines Taurus 60S 5200a 30.33a 21.36a 480.56a 4725b 29.63b 19.66b 494.98b 4 Deutz MWM-Gastechnik RA 141 4214a 29.92a 17.74a 510.00a 3829b 29.23b 16.32b 525.30b 5 European Gas Turbines Typhoon 4.3 4340a 29.92a 17.74a 510.00a 3944b 29.23b 16.32b 525.30b 6 European Gas Turbines Typhoon 4.7 4694a 30.38a 18.78a 510.56a 4226b 29.69b 17.28b 525.88b 7 Solar Turbines Centaur 50S 4345a 29.23a 19.01a 501.11a 3949b 28.56b 17.85b 516.14b 8 Stewart Stevenson TG-Typhoon 4907a 30.62a 19.69a 513.89a 4459b 29.92b 18.11b 529.31b 9 Hitachi Zosen CCS7 5943a 38.54a 17.92a 524.44a 5,401b 37.66b 16.48b 540.17b 10 Kawasaki Heavy Industries M1T-03 2680a 20.30a 18.10a 540.00a 2435b 19.83b 16.65b 556.20b 11 Kawaski Heavy Industries M1T-06 2670a 20.98a 18.60a 525.00a 2426b 20.50b 17.11b 540.75b 12 Allison Engine Company 501-KB5 3926a 28.67a 15.60a 549.44a 3568b 28.02b 14.35b 565.92b 13 Dresser–Rand KG2-3E 1830a 16.19a 14.97a 550.00a 1663b 15.82b 13.77b 566.50b 14 Allied Signal ASE50 3815a 30.71a 14.29a 562.22a 3,467b 30.00b 13.15b 579.09b 15 Allison Engine Company 501-KB5S 4103a 29.49a 15.60a 579.44a 3729b 28.82b 14.36b 596.82b 16 Centrax Gas Turbine CX501-KB5 3832a 27.90a 15.69a 571.00a 3482b 27.26b 14.44b 588.13b 17 Hitachi Zosen GT10-5 4096a 28.81a 15.60a 576.67a 3722b 28.15b 14.36b 593.97b 18 Ishikawajima–Harima Heavy Industries IM400 4540a 29.77a 16.42a 577.22a 4126b 29.09b 15.11b 594.54b a ISO conditions. b Local conditions. J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483 1475
  • 6. In order to select gas turbine systems commercially available, the following considerations were made [4]: (a) The gas turbine systems were selected in the ISO conditions (ambient temperature of 15 °C; sea level; relative humidity of 60%) and for the performance correction on site were used the local conditions (average ambient temperature of 25 °C; relative humidity of 80%); (b) exhaust gases temperature in the atmosphere in steam production at 150 °C (‘‘pinch-point’’ method); (c) for the calorific power of natural gas the value of 35,356 kJ/N m3 was used; (d) for specific heat at constant pressure the value of 1.055 kJ/kg K was used; (e) for the mechanical yield of the electrical generator was used the value of 95%; (f) for the combustion chamber efficiency, the value of 97% was used; (g) for the waste recuperation boiler was used the value of 70%. Considering the necessary values for the mass flux of exhaust gases and turbine exit temper- ature, the turbine systems selected are shown in Table 1. These equipments are selected in thermal parity. Table 2 displays the results of energy analysis of the turbine systems selected. 4. Energy-economic analysis The investment decisions are usually based on capital costs and on the payback period. The costs of electricity and steam production can be determined from the Eqs. (13)–(16) [4]. These Table 2 Results for energy analysis of the systems selected Reference Manufacturer Models Ef (kW) Ec (kW) gel (%) ghr (%) gG (%) 1 Deutz MWM-Gastechnik RA 151 15,715.23 6555.481 28.38 29.46 57.83 2 Ishikawajima-Harima Heavy Industries IM400 HI-FLECS 16,655.77 6624.998 35.19 28.09 63.28 3 Solar Turbines Taurus 60S 16,784.89 7142.096 28.15 30.05 58.20 4 Deutz MWM-Gastechnik RA 141 13,788.41 6649.257 27.77 34.05 61.83 5 European Gas Turbines Typhoon 4.3 14,200.69 6649.257 27.77 33.07 60.84 6 European Gas Turbines Typhoon 4.7 15,126.00 7003.682 28.20 32.70 60.90 7 Solar Turbines Centaur 50S 14,554.90 6876.817 27.13 33.37 60.49 8 Stewart Stevenson TG-Typhoon 15,687.07 7376.283 28.43 33.21 61.63 9 Hitachi Zosen CCS7 15,095.89 7000.620 35.78 32.75 68.52 10 Kawasaki Heavy Industries M1T-03 12,926.03 7380.537 18.84 40.32 59.16 11 Kawaski Heavy Industries M1T-06 12,460.28 7246.198 19.47 41.07 60.54 12 Allison Engine Company 501-KB5 13,404.78 6651.547 26.61 35.04 61.66 13 Dresser-Rand KG2-3E 11,063.14 6427.239 15.03 41.03 56.06 14 Allied Signal ASE50 12,163.24 6376.801 28.50 37.02 65.53 15 Allison Engine Company 501-KB5S 13,620.64 7185.013 27.37 37.25 64.63 16 Centrax Gas Turbine CX501-KB5 13,447.76 7070.278 25.90 37.13 63.02 17 Hitachi Zosen GT10-5 13,917.06 7135.573 26.75 36.21 62.95 18 Ishikawajima–Harima Heavy Industries IM400 14,928.05 7471.048 27.64 35.34 62.98 1476 J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483
  • 7. equations consider all the pertinent aspects for the construction and operation of a cogeneration plant, since they do not fasten important parameters such as the total plant capital cost including capital taxes and insurance (IPL) or interest rate (r). Yel Âź Ă°IPL ½ IHRÞf =Ă°HEpÞ Ăž Ă°Yf =EpÞðEf Ec Ă°Los=2ÞÞ Ăž UGT Ă°13Þ Ys Âź IRBf ½ =Ă°HHsÞ Ăž Ă°Yf =HsÞðEc ½ Ăž Ă°Los=2ÞÞ Ăž URB Ă°14Þ f Âź qk q Ă° 1Þ = qk 1 Ă°15Þ q Âź 1 Ăž r=100 Ă° Þ Ă°16Þ In these equations (Eqs. (13)–(16)), the cost of electricity production (Yel) and steam production (Ys) is a function of the plant capital cost including capital taxes and insurance (IPL), the operation cost and maintenance cost. The annuity factor (f) associated to the plant capital cost is a function of payback period (k) and the annual interest rate (r). Eqs. (17) and (18) show the savings due to electric power production in case of electrical surplus and in case of an electrical deficit, respectively. The savings due to steam production can be determined by using the Eq. (19). The total annual saving is calculated using the Eq. (20) [4]. Sel Âź ErHĂ°Tel YelÞ Ăž Ă°Ep ErÞHĂ°TSel YelÞ Ă°17Þ Sel Âź EpHĂ°Tel YelÞ Ă°18Þ Ss Âź HsHĂ°PEs YsÞ Ă°19Þ R Âź Sel Ăž Ss Ă°20Þ Table 3 shows the considerations for the energy-economic analysis applied to the cogeneration plant. Table 4 displays the cogeneration products costs for the energy-economic analysis. 5. Exergy-economic analysis The development of design techniques for an energy system with minimized costs is a necessity in a world with finite natural resources and the increase of the energy demand. The presented method combines the Second Law of Thermodynamics through the exergy concept, associated to Table 3 Considerations for energy-economic analysis [4] Annual interest rate (r) 8% Fuel cost (Yf ) 0.0200 US$/kW h Electricity tariff (Tel) 0.1000 US$/kW h Sale tariff of the electricity surplus (TSel) 0.0800 US$/kW h Pay-back period (k) 10 years Equivalent utilization period (H) 7200 h/year Electricity required (Er) 3000 kW J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483 1477
  • 8. an economical approach of the thermal system. For the analysis of the cogeneration system in question, the following steps were taken: 1. identification of the system functions of cogeneration as a whole and each unit individually; 2. evaluation of the exergy input and output stream value of each unit; 3. construction of the thermoeconomic function diagram; 4. selection of the fixed parameters and its values; 5. formulation of the exergetic increment function associated with the output and input of each unit; 6. formulation of the exergetic manufacturing cost equation. According to Moran and Sciubba [5] and Kotas [6], in the evaluation of the exergy input and output stream value of each unit, the steam exergy is defined by: ei Âź ½ðhi hoÞ ToĂ°si soÞ Ă°21Þ The exergy of the air and gas stream are defined by [4]: ei Âź CpGĂ°TiÞ: Ti ½ To ln Ti=To Ă° Þ Ăž RGTo ln Pi=Po Ă° Þ Ă°22Þ where: CpG is Cpair or Cpgas , for specific heat of air and gases, respectively. Table 4 Results for energy-economic analysis (cogeneration products costs) Manufacturer Models For k Âź 10 years Based on pay back period Electricity Steam Savingsa Yel (US$/kW h) Ys (US$/kW h) R (US$/year) k (year) Deutz MWM-Gastechnik RA 151 0.0591 0.0496 2,972,185 1.10 Ishikawajima–Harima Heavy Industries IM400 HI-FLECS 0.0558 0.0483 3,381,534 1.21 Solar Turbines Taurus 60S 0.0588 0.0491 3,203,936 1.01 Deutz MWM-Gastechnik RA 141 0.0580 0.0464 3,040,208 1.00 European Gas Turbines Typhoon 4.3 0.0583 0.0471 3,027,733 1.02 European Gas Turbines Typhoon 4.7 0.0578 0.0472 3,194,990 1.02 Solar Turbines Centaur 50S 0.0586 0.0470 3,087,812 1.08 Stewart Stevenson TG-Typhoon 0.0573 0.0467 3,370,287 0.99 Hitachi Zosen CCS7 0.0534 0.0448 3,629,887 1.06 Kawasaki Heavy Industries M1T-03 0.0659 0.0453 2,860,070 0.93 Kawaski Heavy Industries M1T-06 0.0647 0.0448 2,857,643 0.92 Allison Engine Company 501-KB5 0.0587 0.0462 2,988,714 0.99 Dresser-Rand KG2-3E 0.0744 0.0459 2,256,037 0.97 Allied Signal ASE50 0.0567 0.0445 2,993,921 0.97 Allison Engine Company 501-KB5S 0.0568 0.0447 3,280,092 0.94 Centrax Gas Turbine CX501-KB5 0.0583 0.0451 3,148,199 0.95 Hitachi Zosen GT10-5 0.0578 0.0454 3,211,048 0.96 Ishikawajima–Harima Heavy Industries IM400 0.0571 0.0456 3,391,485 0.96 a Maximum savings. 1478 J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483
  • 9. 5.1. Thermoeconomic functional diagram The functional diagram of the cogeneration system, which allows the intended analysis, is composed of geometric figures representing the units and a network of lines representing the unitary function distributions in terms of exergy. These units correspond to the real plant’s components. The notation Yi;j (jth input of ith unit) and Yik (kth output of ith unit) is used by Frangopoulos and Evans [7] and Tuna and Silveira [8]. Fig. 2 shows the functional diagram of the system presented in Fig. 1. It is important, to follow the development of the proposed method of this work, notice that each unit (or component) will receive an identification number. It is also essential to understand the transposition of Fig. 1 (physical diagram) to Fig. 2 (functional diagram) that considered fluxes refers to the exergetic increment and not to the absolute value of this thermodynamic property. The frontier functional line is the one that takes apart the supplies and the products of the system from the environment and leaves the process outside. To evaluate the exergetic functions associated to the functional thermoeconomic diagrams and in order to simplify the calculation procedures, the loss in the pipes was neglected. Fig. 2. Cogeneration system functional diagram. J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483 1479
  • 10. 5.2. Exergetic increment function From the physical diagram (Fig. 1) and from the thermodynamic property values of input and output of each component, it is possible to obtain the exergetic increment functions associated with the functional thermoeconomic diagram (Fig. 2). With this procedure, these expressions for these functions are [8]: Unit A: Compressor YA;1 Âź Exair Ă°23Þ YA;2 Âź Wcomp Ă°24Þ YA1 Âź mairĂ°e2 e1Þ Ă°25Þ Unit B: Combustion chamber YB;1 Âź Exfuel Ă°26Þ YB;2 Âź YA1 Ă°27Þ YB1 Âź Exgases Âź mgasese3 Ă°28Þ Unit C: Gas turbine YC;1 Âź YB1 Ă°29Þ YC;3 Âź YA;2 Ă°30Þ YC1 Âź Ep Ă°31Þ YC2 Âź mgasese4 Ă°32Þ Unit D: Waste boiler YD;1 Âź YC2 Ă°33Þ YD;2 Âź mwf e9 Ă°34Þ YD1 Âź mwf e7 Ă° e9Þ Ă°35Þ YD2 Âź mgases e5 Ă° e4Þ Ă°36Þ Unit F: Pump YF1 Âź YD;2 Ă°37Þ YF;1 Âź mwf e7 Ă° e8Þ Ă°38Þ YF;2 Âź Wpump Ă°39Þ 1480 J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483
  • 11. 5.3. Thermoeconomic cost equations Fig. 3 shows the costs diagram. The exergetic manufacturing cost (EMC) is defined by the produced electricity cost plus the consumed steam cost plus the electricity cost bought from the concessionaire in deficit situation (Eq. (40)) or minus the earnings received from the sell of the electricity exceeding (Eq. (41)). Eqs. (42) and (43) show the expressions of specific costs Yel and Ys, respectively [8]. EMC Âź EpYel Ăž EcYs Ăž Ă°Er EpÞTel Ă°40Þ EMC Âź EpYel Ăž EcYs Ă°Ep ErÞTSel Ă°41Þ Yel Âź Ă°IPL IWBÞf u HYC1 Ăž Yf Ă°YB;1 YD2Þ YC1 Ă°42Þ Ys Âź IWBf u HYD2 Ăž Yf YB1 YD2 Ă°43Þ Fig. 3. The cost diagram. Table 5 Results for exergy-economic optimization. Reference Manufacturer Models Electricity (Yel) (US$/kW h) Steam (Ys) (US$/kW h) EMC (US$/year) 1 Deutz MWM-Gastechnik RA 151 0.1542 0.2103 6,483,294 2 Ishikawajima–Harima Heavy Industries IM400 HI-FLECS 0.1358 0.1961 6,324,524 3 Solar Turbines Taurus 60S 0.1554 0.2079 6,852,354 4 Deutz MWM-Gastechnik RA 141 0.1693 0.1971 6,458,717 5 European Gas Turbines Typhoon 4.3 0.1661 0.1997 6,469,866 6 European Gas Turbines Typhoon 4.7 0.1626 0.1997 6,679,015 7 Solar Turbines Centaur 50S 0.1687 0.2000 6,625,946 8 Stewart Stevenson TG-Typhoon 0.1629 0.1978 6,909,216 9 Hitachi Zosen CCS7 0.1436 0.1820 6,410,176 10 Kawasaki Heavy Industries M1T-03 0.2354 0.1950 7,007,572 11 Kawaski Heavy Industries M1T-06 0.2340 0.1927 6,902,036 12 Allison Engine Company 501-KB5 0.1765 0.1963 6,466,572 13 Dresser-Rand KG2-3E 0.2775 0.1980 6,472,360 14 Allied Signal ASE50 0.1755 0.1880 6,191,836 15 Allison Engine Company 501-KB5S 0.1781 0.1898 6,724,540 16 Centrax Gas Turbine CX501-KB5 0.1842 0.1923 6,695,837 17 Hitachi Zosen GT10-5 0.1775 0.1931 6,724,447 18 Ishikawajima–Harima Heavy Industries IM400 0.1710 0.1938 6,936,902 J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483 1481
  • 12. Table 5 shows the specific costs associated to the cogeneration products and the value of the exergetic manufacturing cost. In Table 5, the best system, which has the lowest EMC, is the system that used the gas turbine ‘‘ASE50’’ of Allied Signal followed by ‘‘IM400 HI-FLECS’’ of Ishikawajima–Harima Heavy Industries. This result is associated with the irreversibility level of each system and other parameters as the electricity sell price and the plant investment. 6. Conclusions The feasibility of the replacement of the gas turbine system in a gas turbine cogeneration system existing on a university campus has been shown. The system design and operational parameters are important to evaluate cogeneration systems. The energy-economic study shown that the best system, based on pay-back period, was the system that used the gas turbine ‘‘M1T-06’’ of Ka- waski Heavy Industries followed by ‘‘M1T-03’’ of Kawasaki Heavy Industries. The best system, based on the maximum savings (in 10 years), was the system that used the gas turbine ‘‘CCS7’’ of Hitachi Zosen followed by ‘‘IM400’’ of Ishikawajima–Harima Heavy Industries. The development of the EMC method, overcoming the initial complexities, is revealed a powerful tool of optimization in cogeneration context. The advantage of this method is its lowest computational time, because it is a direct algebraic method, easy to handle and to change its parameters to others. In this paper, the exergy-economic study shown that the best system, which has the lowest EMC, was that that used the gas turbine ‘‘ASE50’’ of Allied Signal followed by ‘‘IM400 HI-FLECS’’ of Ishikawajima–Harima Heavy Industries. Acknowledgement The authors wish to express their thanks to support of FAPESP (Fundac ß~ a ao de Amparo a Pesquisa do Estado de S~ a ao Paulo––Brazil, Process number 99/08851-0). References [1] C. Wu, Power optimization of an endoreversible Brayton gas heat engine, Energy Conversion Management 31 (1991) 561–565. [2] Y. Taki, R.F. Babus’Haq, R.L. Elder, S.D. Propert, Design and analysis of a compact gas turbine for CHP system, Heat Recovery System and CHP 11 (1991) 149–160. [3] V. Biasi, For project planning, design and construction––gas turbine world, in: The 1997–98 Handbook, Pequot Publishing, Washington, 1999. [4] J.L. Silveira, A.C.S. Walter, C.A. Luengo, A case study of a compact cogeneration system for a hospital––techno- economic analysis, Proceedings of third Asian-Pacific International Symposium on Combustion and Energy Utilization, vol. 2, 1992, pp. 756–762. [5] M. Moran, E. Sciubba, Exergy analysis: principles and practice, Journal of Engineering for Gas Turbines and Power 116 (1994) 285–290. [6] T.J. Kotas, The Exergy Method of Thermal Plant Analysis, Anchor Brendon Ltd., Great Britain, 1985. 1482 J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483
  • 13. [7] C.A. Frangopoulos, R.B. Evans, Thermoeconomic isolation and the optimization of thermal systems components, in: A. Bejan, R.L. Reid (Eds.), Second Law Aspects of Thermal Design, American Society of Mechanical Engineers, New York, 1984. [8] Heat and power systems, Proceedings of fifth ASME/JSME Thermal Engineering Joint Conference, CD-ROM, 1999, pp. 1–7. J. Luz-Silveira et al. / Applied Thermal Engineering 22 (2002) 1471–1483 1483 All in-text references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately.