Combined-Cycle Plant Simulation Toolbox for Power Plant Simulator.
A. Salehi, M.Eng.Sc.1, A.R. Seifi, Ph.D. 2*, and A.A. Safavi, Ph.D.3
Department of Electrical Engineering, School of Engineering
Shiraz University, Shiraz, Iran.
1
E-mail: a_hamid_Salehi@hotmail.com
2*
E-mail: seifi@shirazu.ac.ir
3
E-mail: safavi@shirazu.ac.ir
ABSTRACT
With the availability of powerful and high
performance processors, advanced numerical
methods, and flexible and capable software, there
is a great opportunity to develop high
performance simulators for analysis of and
training on complex systems. Power plants are
one group of complex systems with serious
impacts on the economy and operations of
industries. This paper addresses the development
of a set of system component simulation modules
combined with a control structure in a common
software framework for a typical combined-cycle
power plant. The simulation toolbox was designed
for educational purposes using SIMULINK based
on Object Oriented Programming (OOP) and the
C programming language. The simulation toolbox
will be utilized to assess the long-time behavior of
control systems and the overall plant performance
following system disturbances. The developed
simulation tool is able to use all MATLAB
toolboxes for research and education studies.
(Keywords: gas power plant, combined-cycle power
plant, modeling and simulation, MATLAB ,
SIMULINK )
INTRODUCTION
The generalized trend in power generation all
over the world is towards increasing the use of
combined-cycle power plants. The need for
modeling and simulation of these types of plants
and their controllers is crucial to the
understanding of their dynamic characteristics
and impacts on power systems. It becomes
important to assess the behavior of control
systems and the overall plant performance
following system disturbances.
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There are several different combined-cycle
configurations and control variation available [16]. This paper discusses the development of a
physical simulation toolbox for a typical
combined-cycle power plant with standard
configuration. The heart of a plant simulation is its
modeling block, which for a power plant is
comprised of highly nonlinear and complex
algebraic, and differential equations [6-10].
Various approaches such as modular technique
and Object Oriented Programming (OOP) [11-13]
could be utilized for this purpose.
The power plant will be modeled in the
SIMULINK environment based on OOP and the
C-programming language, to create a new
toolbox for constructing plant simulation. An
important feature of this environment is building
the Dynamic Link Library (DLL) of m-files and cfiles of the block diagrams of this toolbox using a
Visual C++ program linked with the MATLAB.
The developed simulation tool is able to use all
MATLAB toolboxes for research studies.
One of the major objectives in combined-cycle
power plants is to maintain a good overall system
dynamic performance and keep the efficiency
high. This requires the inclusion of a control
strategy for different subsystems in the combinedcycle power model. The developed simulation
toolbox could be utilized for long-term stability
analysis of the typical power systems.
The structure of the paper is as follows. After the
above general introduction, design of a tool to
construct the combined cycle plant simulation
toolbox will be discussed and the simulation
toolbox will be described. Different tests were
undertaken to evaluate the performance of the
typical plant simulation in a long-term stability
analysis in the presence of disturbances. The
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authors offer their conclusions in the papers final
section.
programming, which are fast enough in MATLAB
environment when they are converted to DLLfiles.
DESIGN OF TOOL TO CONSTRUCT THE
COMBINED CYCLE PLANT SIMULATION
TOOLBOX
Using these files, all of the components of the
power plant will be constructed as block sets,
which have SIMULINK properties and are added
to a library. Figure 1 shows this for the furnace
block. Connecting these components together
can simulate a complete power plant. To
generate an environment for a simulator which
acts in real time, a block set called real time
clock is added to reduce the calculation time to
actual time of the system. So a simulator based
on object-oriented programming, C-programming,
and SIMULINK toolbox of MATLAB is
constructed which contains several programming
languages and software. All of the components
of the power plants have their special differential
equations and state variables. Since the numbers
of state variable of the power plant are so large,
SIMULINK cannot calculate the initial conditions
of the system. So, the initial conditions of the
plant have been calculated by the method in [14].
To design a simulator, the programming language
and the required software should first be selected.
Modeling and programming can be run using any
of the major programming languages. This
method requires advanced techniques in
programming or the simulator will not be
economic or flexible. An alternate idea is to use
simulator software to simulate and analyze the
necessary calculations; this would be a better
method for training and other applications.
One of the best software packages for this
application is MATLAB and its special simulator
toolbox called SIMULINK. This software can be
developed as a simple OOP program. However,
there are no block sets for power plant
components in the default libraries. Therefore, it
is possible to prepare the C-codes of system
equations and add a new library in SIMULINK.
The equations of each part of the plant (such as
furnace, turbine, etc.) are functions defined by C-
According to the equations of the system and
measurable data in a power plant, initial
conditions of each block can be computed.
Figure 1: The Matching of Constructed Block with Default MATLAB Library for Furnace.
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MODELING REQUIREMENTS
Steam Power Plant
The governing equation of combined-cycle
power plant behaviors are highly nonlinear
and complex and need to be accurately
determined of acceptable responses are to
be achieved. The components of the
combined-cycle power plant are [6]:
A typical steam power plant contains six main
parts:
Gas Turbine
A typical gas turbine is divided into five
interconnected subsystems:
1-Boiler
2-Turbine
3-Condenser
4-Feed water system
5-Generator
6-Miscellaneous components
These parts will be described briefly, in the
following text:
Boiler
The boiler contains the following components:
Furnace
Drum and Riser
Superheater
Reheater
1-Fuel system
2-Compressor
3-Combustion chamber
4-Turbine
5-Generator
The governing equations of gas turbine behaviors
are highly nonlinear and complex and need to be
accurately determined if acceptable responses
are to be achieved. All of the subsystems have
been modeled by both algebraic and differential
equations [6]. Figure 2 depicts the gas turbine
internal structure.
The order of the dynamic mechanistic equations
of the open loop boiler, without PID controllers
and actuators, is 14 with 22 outputs and 14 input
variable including 42 algebraic equations as is
shown in Figure 3.
Figure 2: Gas Turbine Internal Structure.
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Figure 3: Boiler Internal Structure.
As mentioned, the number of governing equation
for each element is quite high and complex. For
instance, the governing equations of "furnace" are
shown in Appendix A. there are ten inputs and
twelve outputs.
Turbine
The components of turbine of the typical plant
are:
High Pressure (HP)
Intermediate Pressure (IP)
Low Pressure (LP)
The order of the dynamic equations of the open
loop turbine is 10 with 11 outputs and 11 inputs
and 32 algebraic equations [16].
Condenser
The condenser is constructed from the integration
of the following components:
Feedwater System
The feedwater system is constructed of five
components:
Deaerator
Pump
Economiser
Two Valve
The model includes 5 differential equations and
19 algebraic equations with 13 outputs and 10
inputs (without PID controllers and actuators)
[16].
Generator
The generator model includes the simple
equation (swing equation), plus a stochastic noise
generator to represented the real power electrical
load fluctuations.
Miscellaneous Components
Shell material
Steam
Tube Material
Liquid
The model includes 6 differential equations with
20 algebraic equations. It consists of 8 outputs
and 4 inputs (without PID controllers and
actuators) [16].
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Apart from the components described above, a
power plant includes other elements. Among
them, the most important from control strategy
viewpoints are valves (liquid and gas), actuators
and elements with simple dynamics, which are
represented via simple algebraic equations.
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Figure 4: Gas Turbine Controller.
Figure 5: Overall Structure of the Gas Turbine.
CONTROLLER MODELING
Steam Power Plant Control Configuration
In order to properly assess the performance of a
supervisory plant controller, it is important that the
lower level component controllers be adequately
represented in the power plant simulation. PID
controllers were used in each control loop. In the
following, the low-level control loops for each
component are described.
Steam power plant control configuration will be
described briefly, in the following text:
Boiler Control Configuration
The assignment of input and output variables for
the boiler control is as follows [16]:
Gas Turbine Control Configuration
In a gas turbine, the main control loop adjusts the
fuel flow to ensure the correct output power and
frequency and also adjusts the air flow that
control the exhaust gas temperature [1, 3, 6, 14,
15]. The block diagram of the control system is
presented in Figure 4.
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Superheated steam pressure
regulated by adjusting the fuel flow
Drum water level is regulated
adjusting the feedwater flow
Superheated steam temperature
regulated by attemporation flow
Furnace air pressure is regulated
the air flow to the furnace
Reheated steam temperature
regulated by title angle
is
by
is
by
is
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Volume 9. Number 1. May-June 2008 (Spring)
Steam Turbine Control Configuration
The inputs to the steam turbine controller, which
are outputs from the steam turbine, the generator
and the admission valves, are [16]:
Delivered mechanical power
Electrical frequency (rotation speed of the
generator)
Steam pressure at the inlet to the turbine
Performances of the gas turbine simulator and
the overall combined-cycle power plant simulator
are evaluated via simulation.
To evaluate the developed gas turbine
simulator performance, two datasets related
to the following tests are presented.
Test 1: a +10% ramp in demanded
power output of duration 200 seconds.
Test 2: a +10% ramp in demanded
power output of duration 200 seconds
and a +10% ramp in demanded exhaust
temperature of duration 200 seconds.
The first and second are controlled by throttle
valve position (CV and IV) and the last is
controlled by bypass valve position (BV).
Condenser Control Configuration
The condenser controller consists of only one
loop regulating the temperature of the condensate
by adjusting the cooling water flow [16].
Feedwater System Control Configuration
Two primary control objectives exist for the
feedwater system; to maintain the vessel
pressure and liquid level in the deaerator at
desired values. Steam pressure is regulated by
adjusting the flow of extraction steam supplied to
the deaerator. Similarly liquid level is regulated
via manipulation of inlet makeup flow [16].
These tests were performed in the normal
conditions. Increasing electrical power causes a
decrease in mechanical speed. As shown in
Figure 8 and 9, the control system compensates
it and returns the speed to its normal value. In
addition, the temperature converges to its
desired value. The satisfactory performance of
the controllers is obvious from Figure 8 and 9.
The following tests were done to evaluate the
performance of the combined-cycle power plant
control system.
The overall structure of the gas turbine and steam
power plant are depicted in Figure 5 and Figure 6
respectively.
COMBINED-CYCLE POWER PLANT
SIMULATION
The distinguishing feature of combined-cycle
power (CC) plant is the joint production of
electricity from a gas turbine and steam turbine,
where the high heat content of the gas turbine
exhaust flow is utilized to generate additional
electricity by passing it through a waste heat
boiler that raises steam for admission to the
steam turbine. Figure 7 depicts the overall
structure of the typical combined-cycle power
plant. The base load operating characteristics of
the selected combined-cycle power plant is
presented in the Table 1.
The simulation toolbox for this typical combinedcycle power plant is developed in two steps; first
gas turbine and steam power plants are simulated
separately and then these two simulators are
combined. Simulation of the steam power plant
was fully addressed by the authors in [16, 17].
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Test 1: decrease the electrical power of
the steam power plant from 11 to 10 MW
and decrease the furnace air pressure
by 10% of duration 200 seconds.
When the electrical power decreases in a real
power plant, the fuel rate and the output steam
rate from control valves are expected to
decrease. Variations of the superheated steam
pressure, air furnace pressure, and level of the
drum water, superheated steam temperature,
steam turbine power output, steam turbine
speed, and condensate water temperature, level
of deaerator water, gas turbine power output and
gas turbine speed are depicted in Figure 10. It is
obvious from that a 10% decrease in the
generated electrical power is approximately
equivalent to a 10% decrease in fuel rate, which
seems to be reasonable.
Test 2: failing of the cooling water
control valve of the superheater steam.
Failing of a control valve, is one of the usual
disturbances occurring in power plants. The
developed simulation toolbox is able to simulate
such disturbances under normal conditions. For
example, the failing of the cooling water control
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valve of the superheater steam for previous
disturbance was investigated.
Figure 6: Overall Structure of the Steam Power Plant.
Figure 7: Overall Structure of the Typical Combined-Cycle Power Plant.
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Exhaust Gas
Temperature[k]
Air Flow to
Compressor[kg/sec
1080
1060
1040
1020
1000
200
400
600
55
50
45
40
200
400
600
3.8
x 10
1.005
Turbine
Speed[PU]
3.7
Gas Turbine
Power
3.6
0.995
3.5
3.4
0.99
0.985
3.3
0.98
200
400
Fuel Flow to
Combustor[kg/sec]
600
200
400
600
2.2
2.1
2
1.9
1.8
0
200
400
600
Figure 8: Closed-loop response of gas turbine for a +10% ramp in demanded power
output of duration 200 seconds.
Exhaust Gas
Temperature[k]
Air Flow to
Compressor[kg/s
1150
1100
1050
1000
48
46
44
42
0
200
400
600
200
400
600
3.8
x 10
1.005
Turbine
Speed[PU]
Mechanical
3.7
3.6
0.995
3.5
3.4
0.99
0.985
3.3
0.98
0
200
400
600
200
400
600
Fuel Flow to
Combustor[kg/se
2.3
2.2
2.1
2
1.9
1.8
200
400
600
Figure 9: Closed-loop response of gas turbine for: a +10% ramp in demanded
power output of duration 200 seconds and a +10% ramp in demanded exhaust
temperature of duration 200 seconds.
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x 10
4.4
4.2
4
1.2
1.1
1
0.9
200
400
600
4.15
200
400
600
200
400
600
200
400
600
200
400
600
200
400
600
730
725
4.145
Superheated Steam
Temperature [K]
Superheated Steam
Pressure [pa]
4.6
Level of Drum Water
[m]
x 10
1.3
Air Furnace Pressure
[pa]
4.8
720
4.14
715
4.135
710
200
400
600
x 10
Steam Turbine Speed
[P.U]
Steam Turbine Power
Output [W]
1.15
1.02
1.1
1.05
1
0.95
200
400
0.98
600
309
1.915
Level of Deaerator
Water[m]
1.92
Condensate Water
Temperature [K]
309.1
308.9
1.91
308.8
1.905
308.7
308.6
1.9
1.895
0
200
400
600
x 10
1.005
3.7
Gas Turbine Speed
[PU]
Gas Turbine Power
Output [W]
3.8
3.6
0.995
3.5
3.4
3.3
0.99
0.985
200
400
600
0.98
Figure 10: Closed-loop response of typical combined-cycle power plant for: decrease the electrical power
of the steam power plant from 11 to 10 MW of duration 200 seconds and decrease the furnace air
pressure by 10% of duration 200 seconds.
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Volume 9. Number 1. May-June 2008 (Spring)
x 10
Level of Drum Water
[m]
Superheated Steam
Pressure [pa]
4.6
1.2
4.4
1.1
4.2
4
x 10
1.3
Air Furnace Pressure
[pa]
4.8
200
400
0.9
600
4.15
200
400
600
750
740
Superheated Steam
Temperature [K]
4.145
730
4.14
4.135
720
200
400
710
600
200
400
600
200
400
600
200
400
600
200
400
600
x 10
Steam Turbine Speed
[P.U]
Steam Turbine Power
Output [W]
1.15
1.02
1.1
1.05
1
0.95
200
400
0.98
600
309
1.915
Level of Deaerator
Water[m]
1.92
Condensate Water
Temperature [K]
309.1
308.9
1.91
308.8
1.905
308.7
308.6
200
400
1.9
1.895
600
x 10
1.005
Gas Turbine Speed [PU]
Gas Turbine Power
Output [W]
3.8
3.7
3.6
3.5
3.4
3.3
200
400
600
1
0.995
0.99
0.985
0.98
Figure 11: Closed-Loop Response of a Typical Combined-Cycle Power Plant for Failing of the Cooling
Water Control Valve of the Super-heater Steam.
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Volume 9. Number 1. May-June 2008 (Spring)
Table 1: Typical Operating Characteristics of the
Selected Typical Combined-Cycle Power Plant at
Base Load.
CONCLUSIONS
POWER
Gas Turbine
Steam Power Plant
34
11
MW
MW
Total Net Power
45
MW
34
47
1019
10:1
MW
kg/s
K
Gas Turbine
Output power
Exhaust gas flow
Exhaust gas temperature
Compression ratio
Steam Power Plant
Boiler
Superheated steam pressure
45
Superheated steam temperature 717
Superheated steam flow
12
13
Reheated steam pressure
Reheated steam temperature
727
Furnace fuel flow
14
bar
K
kg/s
bar
K
kg/s
Steam Turbine
Total output power
Extraction steam flow
HP section outlet pressure
HP section outlet temperature
HP section output power
IP section outlet pressure
IP section outlet temperature
IP section output power
LP section outlet pressure
LP section outlet temperature
LP section output power
11
1.4
14
602
3.4
5
610
2.7
371
376
4.9
MW
Kg/s
bar
K
MW
bar
K
MW
bar
K
MW
Condenser
Operating pressure
Condensate flow
Condensate temperature
60
10.5
309
640
12
409
Feedwater System
Deaerator operating pressure
Economiser outlet water flow
Economiser
outlet
water
temperature
The Pacific Journal of Science and Technology
The simulation toolbox of a combined-cycle
power plant was developed within MATLAB and
SIMULINK . This approach was employed so that
the resulting power plant toolbox was fast, in
terms of computational speed, robust, in terms of
convergence problem, efficient and flexible, in
terms of modeling capabilities and yet can use
various capabilities of MATLAB and SIMULINK.
PID controllers were designed for different control
loops of the power plant, using the NCD Block set
of MATLAB, to improve the overall dynamic
performance of the system. The developed
simulation toolbox was successfully used to
analyze and simulation of the combined-cycle
power plant and its controllers at the presence of
different disturbances.
REFERENCES
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Working Group on Prime Mover and Energy
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2.
Bagnasco, A., B. Delfino, G.B Denegri and S.
Massucco. 1998. Management and Dynamic
Performances of Combined Cycle Power Plants
During Parallel and Islanding Operation. IEEE
Trans. On Energy Conversion. 13(2):194-201.
mbar
kg/s
K
3.
Zhang, Q. and P.L. So. 2000. Dynamic Modeling
of a Combined Cycle Plant for Power System
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Systems. 1538-1543.
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K
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Lu, S. and B. W. Hogg. 1996. Power Plant
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Lu, S. 1999. Dynamic Modelling & Simulation of
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Ordys, A., R. Katebi, M. Johnson, and M. Grimble.
1994. Modelling & Simulation Of Power
Generation Plants. Springer-Verlag.
7.
Knowles, J.B. 1990. Simulation & Control of
Electrical Power Stations. Research Studies Press
LTD.
Figure 11 shows the variations of the
superheated steam pressure, air furnace
pressure, level of the drum water, superheated
steam temperature, steam turbine power output,
steam turbine speed, condensate water
temperature, level of deaerator water, gas turbine
power output and gas turbine speed. Although the
temperature of the superheater steam has
increased, this increase has been compensated
http://www.akamaiuniversity.us/PJST.htm
to some extent due to the action of the controller
of the reheater steam temperature.
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Volume 9. Number 1. May-June 2008 (Spring)
8.
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Yang, P. and B. W. Hogg. 1992. Continuous-Time
Generalised Predictive Control Of A Boiler Model.
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Power Systems. Munich, Germany. 225-228.
Welfonder, E. 1992. Constrained Control
Concepts In Power Plant & Power Systems For
Avoiding Emergency Conditions. IFAC
Symposium On Control Of Power Plant & Power
Systems. Munich, Germany. 1-14.
10. [Maffezzoni, C. 1992. Issues in Modelling &
Simulation of Power Plants. IFAC-Symposium On
Control Of Power Plant & Power Systems. Munich,
Germany. 19-27.
11. Eborn, J. and B. Nilsson. 1996. Simulation of a
Power Plant Using an Object-Oriented Model
Database. IFAC 13th Triennial World Congress.
San Francisco, CA.121-126.
12. Breckling, B. and C. Eschenbach. 1998. Object
Oriented Simulation of Plant-Environment
Interaction. ASU Newsletter. 24(2):1-8.
13. Lu, S., E. Swidenbank, and B. W. Hogg. 1995.
An Object-Oriented Power Plant Adaptive Control
System Design Tool. IEEE Transactions On
Energy Conversion. 10(3):600-605.
14. Rowen, W.I. 1988. Speedtronic Mark IV Control
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(AGTR880).
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16. Seifi, A.R. 2001. A Research Oriented Fossil Fuel
Steam Power Plant Simulator. Ph.D. Thesis,
Dept. of Electrical Engineering, Tarbiat Modarres
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Electric Power Systems Research. 62:161-171.
WG : Gas flow to furnace (kg/s)
hG : Inlet gas enthalpy (J/kg)
h A : Inlet air enthalpy (J/kg)
: Tilt angle coefficient (rad)
Tst : Temperature of superheater metal tubes (K)
Trh : Temperature of reheater metal tubes (K)
Tet : Temperature of economizer metal tubes (K)
Parameters
C F : Fuel calorific (J/kg)
C pg : Specific heat of
exhaust heat at constant
pressure (J/kgK)
C gs : Combustion gas specific heat capacity (J/kgK)
k : Attenuation coefficient
k es : An experimental coefficient (J/kgK)
k f : Friction coefficient (m.s)
k gs : An experimental coefficient (J/kgK)
k rs : An experimental coefficient (J/kgK)
VF : Combustion chamber volume (m3)
RS : Stoichiometric air/fuel volume ratio
href : Reference exhaust gases enthalpy
condition
(J/kg)
Tref :
Reference exhaust gases temperature condition
(K)
: Stefan-Boltzman constant
REG : Ideal gas constant for exhaust gases
States
X F1 : ( EG hEG ) (J/m3)
EG : Density of exhaust gas from the boiler (kg/m3)
Outputs
Qir : Heat transfer to the riser
Q gs : Total heat transfer to the superheater (J/s)
APPENDIX A
This appendix represents furnace differential and
algebraic equations with the equations representing
steady state values.
Inputs
WF : Fuel flow to furnace (kg/s)
W A : Air flow to furnace (kg/s)
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Qrs : Heat transfer to the reheater (J/s)
Qes : Heat transfer to the economizer (J/s)
PG : Furnace air pressure (pa)
Qis : Heat transfer by radiation to the superheated (J/s)
W EG : Mass flow of exhaust gas from the boiler (kg/s)
hEG : Enthalpy of exhaust gas from the boiler (kg/s)
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Volume 9. Number 1. May-June 2008 (Spring)
T g : Gas temperature at the superheater (K)
T gr : Gas temperature at the reheater (K)
T ge : Gas temperature at the economizer (K)
Tgl : Boiler exhaust gas temperature (K)
Algebraic Equation
hEG =
Tg =
X F1
EG
hEG href
+ Tref
C pg
PG = REG EG Tg
WEG = k f PG
Qir = kV F T g4
W EG
EG
Qis = (1 )kV F Tg4
Q gs = Qis +
Tgr = Tg +
W EG
EG
0 .6
k gsW EG
(T g
Tst )
1
(Qis Q gs )
C gsW EG
0 .6
Qrs = k rsW EG
(T gr Trh )
T ge = T gr
1
Qrs
C gsW EG
0 .6
Q es = k es W EG
(T ge Tet )
T gl = T ge
1
Qes
C gsW EG
(W + WG W F R s )
y = 100 A
WF Rs
Differential Equation
d
1
y
X F1 =
(C FWF + hAW A + hGWG Qir Qis WEG Rs (1 +
)hEG )
dt
VF
100
d
1
EG =
(WF + W A + WG WEG )
dt
VF
interests are in the fields of combined cycle power
plant, neural networks. and fuzzy systems.
Ali Reza Seifi, was born in Shiraz, Iran, on
August 9, 1968. He received his B.S. degree in
Electrical Engineering from Shiraz University,
Shiraz, Iran, in 1991, his M.S. degree in Electrical
Engineering from The University of Tabriz, Tabriz,
Iran, in 1993 and his Ph.D. degree in Electrical
Engineering from Tarbiat Modarres University
(T.M.U), Tehran, Iran, in 2001. He is currently an
Assistant Professor in the Department of
Electrical Engineering, School of Engineering,
Shiraz University. His research areas are power
plant simulation, power systems, electrical
machine simulation, power electronics, and fuzzy
optimization.
Ali Akbar Safavi, received his B.S. degree in
Electrical Engineering from Shahid Chamran
University, Iran, in 1987, his M.S. degree in
Control Engineering from the University of NSW,
Australia, in 1992, and his Ph.D. in Process
Systems Engineering was completed at Sydney
University in 1995. In 1996, he was a
Postdoctoral Fellow at Sydney University. He is
currently an Associate Professor in the
Department of Electrical Engineering, School of
Engineering, Shiraz University. His research
interests are model predictive control, wavelets,
neural networks, system identification, networked
based control, and information technology.
SUGGESTED CITATION
Salehi, A., A.R. Seifi, and A.A. Safavi. 2008.
Combined-Cycle Plant Simulation Toolbox for
Power Plant Simulator. Pacific Journal of
Science and Technology. 9(1):97-109.
Pacific Journal of Science and Technology
ABOUT THE AUTHORS
Abdolhamid Salehi, was born in Shiraz, Iran, in,
1972. He received his B.S., and M.S., degrees in
Electrical Engineering from Shiraz University,
Shiraz, Iran, in 1999 and 2003, respectively. He
has been employed with Gas Company since
2000.
Presently
he
serves
in
the
telecommunications department. His research
The Pacific Journal of Science and Technology
http://www.akamaiuniversity.us/PJST.htm
109
Volume 9. Number 1. May-June 2008 (Spring)