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Mohanraj B S et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 4), October 2014, pp.62-68
www.ijera.com 62|P a g e
Micro-Turbine Generation Control System Optimization Using
Evolutionary algorithm
Mohanraj B S*, Arunnambi*, Selvabharathi*,
*Asst. Professor, Dept. of EEE, SRM University, India. *Asst. Professor, Dept. of EEE, SRM University,
India. *Asst. Professor, Dept. of EEE, SRM University, , India.
Abstract—
Distribution systems management is becoming an increasingly complicated issue due to the introduction of new
technologies, new energy trading strategies, and new deregulated environment. In the new deregulated energy
market and considering the incentives coming from the technical and economical fields, it is reasonable to
consider Distributed Generation (DG) as a viable option to solve the lacking electric power supply problem.
This paper presents a mathematical distribution system planning model considering three planning options to
system expansion and to meet the load growth requirements with a reasonable price as well as the system power
quality problems. DG is introduced as an attractive planning option in competition with voltage regulator
devices and Interruptible load.
This paper presents a dynamic modelling and simulation of a high speed single shaft micro-turbine
generation (MTG) system for grid connected operation and shows genetic algorithm (GA) role in improvement
of control system operation. The model is developed with the consideration of the main parts including:
compressor-turbine, permanent magnet (PM) generator, three phase bridge rectifier and inverter. The simulation
results show the capability of Genetic Algorithm for controlling MTG system. The model is developed in Mat
lab / Simulink.
Index Terms--Distributed Generation, Genetic Algorithm, Inverter, Micro-Turbine.
I. INTRODUCTION
Distributed Generation (DG) is expected to play
a major role in the future of power generation
systems. DG can help to reduce transmission losses,
improve power quality to end users, and smooth
peaks in demand patterns [1]. Although different
works have been undertaken on modelling of micro
turbine, it is essential to develop more models with
higher precision. In [2]-[6] a dynamic model for
combustion gas turbine has been discussed. In these
references, the model was used to represent the gas
turbine dynamics, including speed, temperature,
acceleration and fuel controls. However, these works
deal with heavy-duty gas turbine. A non-linear model
of the micro-turbine implemented in NETOMAC
software and a linear modelling of grid connected
MTG system are reported in [7] and [8], respectively.
The dynamic behaviour of the grid connected split
shaft micro-turbine is done in [9]. A dynamic
modelling of micro-turbine developed a generic
model of the grid connected micro-turbine converter
is reported in [10]. In [11] the evaluation of the
electromagnetic transients of a grid connected MTG
system that includes an AC-DC-AC converter is
discussed.
The load following performance and modeling of
split shaft micro turbine is developed in [12]. This
paper presents a dynamic modeling of MTG system
used genetic algorithm to determine the value of
controller blocks coefficients in order to achieve the
best control performance.
II.MICROTURBINE:
Micro turbines are small combustion turbines
with outputs of 25 kW to 500 kW. They evolved
from automotive and truck turbochargers, auxiliary
power units (APUs) for airplanes, and small jet
engines. Micro turbines are a relatively new
distributed generation technology being used for
stationary energy generation applications. They are a
type of combustion turbine that produces both heat
and electricity on a relatively small scale
A micro gas turbine engine consists of a radial
inflow turbine, a centrifugal compressor and
combustor. The micro turbine is one of the critical
components in a micro gas turbine engine, since it is
used for outputting power as well as for rotating the
compressor. Micro turbines are becoming widespread
for distributed power and combined heat and power
applications. They are one of the most promising
technologies for powering hybrid electric vehicles.
They range from hand held units producing less than
a kilowatt, to commercial sized systems that produce
tens or hundreds of kilowatts. Part of their success is
due to advances in electronics, which allows
RESEARCH ARTICLE OPEN ACCESS
Mohanraj B S et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 4), October 2014, pp.62-68
www.ijera.com 63|P a g e
unattended operation and interfacing with the
commercial power grid. Electronic power switching
technology eliminates the need for the generator to be
synchronized with the power grid. This allows the
generator to be integrated with the turbine shaft, and
to double as the starter motor. They accept most
commercial fuels, such as gasoline, natural gas,
propane,
diesel, and kerosene as well as renewable fuels such
as E85, biodiesel and biogas.
a)MICROTURBINEGENERATIONSYSTEM
MODELING
There are essentially two types of micro turbine
designs.One is a high-speed single-shaft design with
the compressor and turbine mounted on the same
shaft as the permanent magnet synchronous
generator. The generator generates a very high
frequency three phase signal ranging from 1500 to
4000Hz. The high frequency voltage is first rectified
and then inverted to a normal 50 or 60 Hz voltage.
Another is a splitshaft design that uses a power
turbine rotating at 3600 rpm and a conventional
generator (usually induction generator) connected via
a gearbox. The power inverters are not needed in this
design.Along with the turbine there will be control
systems including speed and acceleration control,
fuel flow control,and temperature control. A micro
turbine can generate power in the range of 25 KW to
500 KW. Fig. 1 shows the basic components of
microturbine generation system [13].
b)MICROTURBINE MODEL
Its control systems which is implemented in
Matlab / Simulink is shown in figure 2 [5, 6]. The
model consists of speed governor, acceleration
control blocks, fuel system control, and temperature
control and turbine dynamics. The speed control
operates on the speed error formed between a
reference speed (1 p.u.) and the MTG system rotor
speed. Speed control is usually modeled by using
lead-lag transfer function or by a PID controller.
Acceleration control is used primarily during turbine
start up to limit the rate of the rotor acceleration prior
to reaching the operating speed. The output of the
governor goes to a low value select to produce a
value for Vce, the fuel demand signal. The value of
Vce is scaled by the gain value of 0.77. The time
delay preceding the fuel flow controls represents
delays in the governor control using digital logic in
place of analog devices. The fuel flow, burned in the
combustor results in turbine torque and in exhaust
gas temperature measured by a thermocouple. The
output from the thermocouple is compared with a
reference value. The temperature control output will
pass through the low value selector
III.SIMULINK MODEL OF THE
MICROTURBINE:
Fig.1 Simulink model of the microturbine:
IV) PERMANENT MAGNET
SYNCHRONOUS MACHINE(PMSM)
The model adopted for the generator is a 2-pole
Permanent magnet Synchronous Machine (PMSM)
with a non salient rotor. The machine output power is
30 kW and its terminal line to line voltage is 480V.
The electrical and mechanical parts of the machine
are each represented by a second order state space
model. The model assumes that the flux established
by the permanent magnets in the stator is sinusoidal,
which implies that electromotive forces are
sinusoidal. The following equations expressed
in the rotor reference frame (dq frame) used
to implement PMSM [7, 8].
V. LCL FILTER
The primary function of the AC filter is to filter
out the high frequency components caused by the
Mohanraj B S et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 4), October 2014, pp.62-68
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inverter switching operation. However, the filter also
affects the low order harmonic performance of the
system. The passive LCL filter design depends on the
attenuation needed in order to reduce the high
frequency component of the line current. The
LCLfilter aims to reduce the high order harmonics at
grid side (load side), but a poor design of the filter
can cause a lower attenuation compared to that
expected or even an increase of the distortion due to
oscillation effects. In fact the current harmonics
generated by the rectifier or inverter can cause
saturation of the inductors or filter resonance. So, the
inductors should be correctly designed considering
the current ripple and the filter should be damped to
avoid resonance. The transfer function of the LCL
filter designed by the output voltage to the input
current .
Fig .2 LCL Filter
The design of LCL filter is shown in figure 3.
The three-phase active LCL filter,capacitive load
injected the reactive power into the system as well as
do harmonics attenuation. The values for LCL filter
configuration with inverter side inductance (L1) and
line side (L2) are 6.5mH and 1mH and capacitive
load value considered is 3.5kVar.
VI) INVERTER
The inverter is used to convert DC voltage to ac
in an appropriate frequency, as mentioned before.
When running in parallel with the power grid, the
grid itself fixes the frequency. Fixed power control is
used to control the transmission. On a stand – alone
system, the frequency will be defined by the load. a
voltage control could be applied to the inverter, and
the inverter real and reactive power will be defined
automatically [14]. So depending on the status of the
power plant, there are two different control strategies
for the inverter:
PQ control strategy, when MTG system is in grid
connected operation and V-f control strategy, for
operating in stand-alone mode;
Fig .4 Inverter control scheme in grid connected mode
In this paper the grid connected system is
considered and the genetic algorithm is used to
improve the control loop operation. The inverter
controls the active and reactive power injected to the
grid, which have to follow the set-points Pref and
Qref . These set-points can be chosen by customer or
by a remote control [13]. The initial value of Pref is
9kW, Qref is 3Kvar, then Pref steps up to 18kWand
Qref steps up to 5.5Kvar in 0.5 s. The inverter is
current controlled, and two PI controllers are used to
regulate the grid current components, i.e. id and iq.
Fig. 2 shows the Simulink model of first PI controller
and the inverter control system model is shown in
Fig. 3. In section V, the values of the coefficients
related to each of these two PI controllers are
determined, i.e. kp1 and ki1 for first PI controller and
kp2 and ki2 for second one.
Fig.3 PI Controller Scheme
VII) GENETIC ALGORITHM
Genetic algorithms are probabilistic search
approaches which are founded on the ideas of
Mohanraj B S et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 4), October 2014, pp.62-68
www.ijera.com 65|P a g e
evolutionary processes. The GA procedure is based
on the Darwinian principle of survival of the fittest.
An initial population is created containing a
predefined number
of individuals or solutions, each represented by a
genetic string incorporating the variable information.
Each individual has an associated fitness measure,
typically representing an objective value. The
concept that fittest individuals in a population will
produce fitter offspring is then implemented in order
to reproduce the next population. Selected individuals
are chosen for reproduction or crossover at each
generation, with an appropriate mutation factor to
randomly modify the genes of an individual, in order
to develop the new population. The result is another
set of individuals based on the original subjects
leading to subsequent populations with better
individual fitness. Therefore, the algorithm identifies
the individuals with the optimizing fitness values,
and those with lower fitness will naturally get
discarded from the population[15].
Genetic Algorithms are a class of problems
of producing best solutions while solving complex
optimisation problems. They are capable of the
search space. According to the Holland, this class of
evolutionary algorithms is different from the other
classes in three features.
 Representation
 Selection
 Cross over
Flow Chart For Genetic Algorithm
In this work we use genetic algorithm to
determine the values of PI controllers coefficients
until the active and reactive power injected to the grid
follow Pref and Qref in the best manner. The fitness
function is the difference between the active power
injected and Pref.The best fitness amount was
calculated 6.5179, although the amount is not
constant and the nature of genetic algorithm causes it
changes in another running. The results obtained by
GA to minimize the fitness function are shown in
Table .
Mohanraj B S et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 4), October 2014, pp.62-68
www.ijera.com 66|P a g e
.
Output Using GA
Proposed PI Controllers Parameters
VIII) SIMULATION RESULTS AND
DISCUSSION
To clarify the control strategy in grid connected
operation, a test system is used, as shown in
appendix. The test system has a nominal speed of
66000 rpm / min and a rated capacity of 55kW. A
load of 50 kW with the frequency of 50 Hz is applied
on the MTG system
Fig.4 shows the active power and the reactive
power outputs when GA is used. Fig.4 shows the
active power and the reactive power outputs when
GA is not used.where , the active power output
reaches Pref after0.0171 s when Pref steps up to
18kW , but it takes more than 0.05s. The voltage
across the stator terminals of generator is shown in
Fig. The variation of the current in phase a according
to the variation of set-points (Pref and Qref)
Fig.4 Waveforms
parameters Value/Type
Population size 20
Type of
selection
Stochastic uniform
Type of cross
over
Scattered(Probability=0.8)
Type of
mutation
Use constraint dependent
default
paramete
rs
Kp1 Ki1 Kp2 Ki2
values 0.959
2
0.878
2
0.865
9
0.895
5
Mohanraj B S et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 4), October 2014, pp.62-68
www.ijera.com 67|P a g e
Fig.5 Three phase voltage
Fig.6 current of phase a
Fig .7 stator voltage
Fig. 8 Real and Reactive power with GA
Fig.9 inverter output
Fig.10 Active and Reactive power
XI .CONCLUSION
A modelling of a single-shaft micro-turbine
generation system suitable for connected DG
application is developed in this paper. GA application
in modelling of the control system of the micro-
Mohanraj B S et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 10( Part - 4), October 2014, pp.62-68
www.ijera.com 68|P a g e
turbine is also given. GA is applied in order to
improve the control system performance by
determining the values of the PI controller’s
coefficients. The results show that the developed
model provides a useful tool suitable to study the
various performances of micro-turbines in grid
connected operation. They also show that the use of
GA can improve the control system operation.
Micro turbines are relatively new in the market
and are attracting wide attention due to their varied
applications. Development of a sophisticated
engineering product like micro turbine is a
continuous process. A lot of work is yet to be done
on the design aspects before the micro turbine can be
readied for market consumption. The design
procedure has to take into various other parameters to
make it suitable for practical applications. Also,
manufacturing of such complex shapes of minute size
is another ongoing research work. Further research
into the design and manufacture process would result
in production of even better micro turbines.
REFERENCES
[1] Ghasemi,N., Abedi,M., Rastegar,H, and
Gharepetian,G., ―Hybrid distributed
generation units PEM fuel cell and
microturbine,‖ Industrial
Technology,2008.ICIT 2008, IEEE
International Conference on, pp.1-6, 21-24
Aprill 2008.
[2] W. I. Rowen, ―Simplified mathematical
representations of heavy duty gas turbines,‖
Journal of Engineering for Power, Trans.
ASME, vol. 105, no. 4,pp. 865-869, October
1983.
[3] L.N. Hannet and Afzal Khan, ―Combustion
turbine dynamic model validation from tests,‖
IEEE Trans. on Power Systems, vol.8, no.1,
pp. 152-158, February 1993.
[4] Working Group on Prime Mover and Energy
Supply Models for System Dynamic
Performance Studies, ―dynamic models for
combined cycle plants in power system
studies,‖ IEEE Trans. Power System, vol. 9,
no.3, pp. 1698-1708, August 1994.
[5] L.N. Hannett, G. Jee, and B. Fardanesh, ―A
governor/turbine model for a twin-shaft
combustion turbine,‖ IEEE Trans. on Power
System, vol.10, no. 1, pp. 133-140, February
1995.
[6] L. M. Hajagos and G. R. Berube, ―utility
experience with gas turbine testing and
modeling,‖ in Proceedings, IEEE PES Winter
Meeting, vol. 2, pp. 671-677 January
/February 2001, Columbus, OH.
[7] H. Nikkhajoei and M.R. Iravani, ―Modeling
and analysis of a microturbine generation
system,‖ IEEE Power Engineering Society
Summer Meeting, vol .1, pp. 167 -169, 2002.
[8] R. Lasseter, ―Dynamic models for micro-
turbines and fuel cells,‖ in Proc. IEEE PES
Summer Meeting, vol. 2, Vancouver,
Canada,2001, pp.761-766
[9] A. Al-Hinai, K. Schoder, and A. Feliachi,
―Control of grid-connected split shaft
microturbine distributed generator,‖ System
Theory,Proceedings of the 35th Southeastern
Symposium, pp. 84 –88, 2003.
[10] Lasseter Robert, ―Dynamic models for micro-
turbines and fuel cells,‖ Proceedings ,IEEE
PES Summer Meeting, vol. 2, pp. 761-766,
July 2001, Vancouver, Canada.
[11] H. Nikkhajoei and R. Iravani,
―Electromagnetic transients of a microturbine
based distributed generation system,‖ in
Proc. International Conference on Power
Systems Transients (IPST'05), Montreal,
Canada,2001.
[12] Y. Zhu and K. Tomsovic, ―Development of
models for analyzing the load-following
performance of microturbines and fuel cells,‖
Journal of Electric Power Systems Research,
vol. 62, pp. 1-11, 2002.
[13] Zhou Yunhai and Stenzel ,J, ―Simulation of a
microturbine generation system for grid
connected and islanding operation,‖ Power
and Energy Engineering Conferences ,2009.
APPEEC 2009. Asia-Pacific ,27 – 31 march
2009, pp. 1 – 5.
[14] Tao Yu and Jia-Peng tong, ―Auto disturbance
rejection control of microturbine system,‖
Power and Energy Society Meeting-
Conversion and Delivery of Electrical Energy
in the 21st Century, 2008 IEEE, pp. 1 – 6,
July.2008.
[15] Kahouli,A., Guesmi,T., Hadj Abdallah and
Ouali,A., ―A genetic algorithm PSS and AVR
controller for electrical power system
stability,” System, Signal and Devices, 2009.
SSD'09. 6th International Multi-Conference
on, pp. 1-6,23- 26 March 2009.
BIOGRAPHIES
Mohanraj.B.S received his B.E from Anna University and
M.E from SRM University. Currently working in SRM
University .He has experience in electric Power System
operation, control, SCADA, and EMS.
Arunnambi.P received his B.E from Anna University and
M.E from SRM University. Currently working in SRM
University .He has experience in electric Power System
operation, control,power Quality.
Selvabharathi .D received his B.E from Anna University
and M.E from SRM University. Currently working in SRM
University .He has experience in electric Power Electronics
,Power Quality.

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Micro-Turbine Generation Control System Optimization Using Evolutionary algorithm

  • 1. Mohanraj B S et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 4), October 2014, pp.62-68 www.ijera.com 62|P a g e Micro-Turbine Generation Control System Optimization Using Evolutionary algorithm Mohanraj B S*, Arunnambi*, Selvabharathi*, *Asst. Professor, Dept. of EEE, SRM University, India. *Asst. Professor, Dept. of EEE, SRM University, India. *Asst. Professor, Dept. of EEE, SRM University, , India. Abstract— Distribution systems management is becoming an increasingly complicated issue due to the introduction of new technologies, new energy trading strategies, and new deregulated environment. In the new deregulated energy market and considering the incentives coming from the technical and economical fields, it is reasonable to consider Distributed Generation (DG) as a viable option to solve the lacking electric power supply problem. This paper presents a mathematical distribution system planning model considering three planning options to system expansion and to meet the load growth requirements with a reasonable price as well as the system power quality problems. DG is introduced as an attractive planning option in competition with voltage regulator devices and Interruptible load. This paper presents a dynamic modelling and simulation of a high speed single shaft micro-turbine generation (MTG) system for grid connected operation and shows genetic algorithm (GA) role in improvement of control system operation. The model is developed with the consideration of the main parts including: compressor-turbine, permanent magnet (PM) generator, three phase bridge rectifier and inverter. The simulation results show the capability of Genetic Algorithm for controlling MTG system. The model is developed in Mat lab / Simulink. Index Terms--Distributed Generation, Genetic Algorithm, Inverter, Micro-Turbine. I. INTRODUCTION Distributed Generation (DG) is expected to play a major role in the future of power generation systems. DG can help to reduce transmission losses, improve power quality to end users, and smooth peaks in demand patterns [1]. Although different works have been undertaken on modelling of micro turbine, it is essential to develop more models with higher precision. In [2]-[6] a dynamic model for combustion gas turbine has been discussed. In these references, the model was used to represent the gas turbine dynamics, including speed, temperature, acceleration and fuel controls. However, these works deal with heavy-duty gas turbine. A non-linear model of the micro-turbine implemented in NETOMAC software and a linear modelling of grid connected MTG system are reported in [7] and [8], respectively. The dynamic behaviour of the grid connected split shaft micro-turbine is done in [9]. A dynamic modelling of micro-turbine developed a generic model of the grid connected micro-turbine converter is reported in [10]. In [11] the evaluation of the electromagnetic transients of a grid connected MTG system that includes an AC-DC-AC converter is discussed. The load following performance and modeling of split shaft micro turbine is developed in [12]. This paper presents a dynamic modeling of MTG system used genetic algorithm to determine the value of controller blocks coefficients in order to achieve the best control performance. II.MICROTURBINE: Micro turbines are small combustion turbines with outputs of 25 kW to 500 kW. They evolved from automotive and truck turbochargers, auxiliary power units (APUs) for airplanes, and small jet engines. Micro turbines are a relatively new distributed generation technology being used for stationary energy generation applications. They are a type of combustion turbine that produces both heat and electricity on a relatively small scale A micro gas turbine engine consists of a radial inflow turbine, a centrifugal compressor and combustor. The micro turbine is one of the critical components in a micro gas turbine engine, since it is used for outputting power as well as for rotating the compressor. Micro turbines are becoming widespread for distributed power and combined heat and power applications. They are one of the most promising technologies for powering hybrid electric vehicles. They range from hand held units producing less than a kilowatt, to commercial sized systems that produce tens or hundreds of kilowatts. Part of their success is due to advances in electronics, which allows RESEARCH ARTICLE OPEN ACCESS
  • 2. Mohanraj B S et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 4), October 2014, pp.62-68 www.ijera.com 63|P a g e unattended operation and interfacing with the commercial power grid. Electronic power switching technology eliminates the need for the generator to be synchronized with the power grid. This allows the generator to be integrated with the turbine shaft, and to double as the starter motor. They accept most commercial fuels, such as gasoline, natural gas, propane, diesel, and kerosene as well as renewable fuels such as E85, biodiesel and biogas. a)MICROTURBINEGENERATIONSYSTEM MODELING There are essentially two types of micro turbine designs.One is a high-speed single-shaft design with the compressor and turbine mounted on the same shaft as the permanent magnet synchronous generator. The generator generates a very high frequency three phase signal ranging from 1500 to 4000Hz. The high frequency voltage is first rectified and then inverted to a normal 50 or 60 Hz voltage. Another is a splitshaft design that uses a power turbine rotating at 3600 rpm and a conventional generator (usually induction generator) connected via a gearbox. The power inverters are not needed in this design.Along with the turbine there will be control systems including speed and acceleration control, fuel flow control,and temperature control. A micro turbine can generate power in the range of 25 KW to 500 KW. Fig. 1 shows the basic components of microturbine generation system [13]. b)MICROTURBINE MODEL Its control systems which is implemented in Matlab / Simulink is shown in figure 2 [5, 6]. The model consists of speed governor, acceleration control blocks, fuel system control, and temperature control and turbine dynamics. The speed control operates on the speed error formed between a reference speed (1 p.u.) and the MTG system rotor speed. Speed control is usually modeled by using lead-lag transfer function or by a PID controller. Acceleration control is used primarily during turbine start up to limit the rate of the rotor acceleration prior to reaching the operating speed. The output of the governor goes to a low value select to produce a value for Vce, the fuel demand signal. The value of Vce is scaled by the gain value of 0.77. The time delay preceding the fuel flow controls represents delays in the governor control using digital logic in place of analog devices. The fuel flow, burned in the combustor results in turbine torque and in exhaust gas temperature measured by a thermocouple. The output from the thermocouple is compared with a reference value. The temperature control output will pass through the low value selector III.SIMULINK MODEL OF THE MICROTURBINE: Fig.1 Simulink model of the microturbine: IV) PERMANENT MAGNET SYNCHRONOUS MACHINE(PMSM) The model adopted for the generator is a 2-pole Permanent magnet Synchronous Machine (PMSM) with a non salient rotor. The machine output power is 30 kW and its terminal line to line voltage is 480V. The electrical and mechanical parts of the machine are each represented by a second order state space model. The model assumes that the flux established by the permanent magnets in the stator is sinusoidal, which implies that electromotive forces are sinusoidal. The following equations expressed in the rotor reference frame (dq frame) used to implement PMSM [7, 8]. V. LCL FILTER The primary function of the AC filter is to filter out the high frequency components caused by the
  • 3. Mohanraj B S et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 4), October 2014, pp.62-68 www.ijera.com 64|P a g e inverter switching operation. However, the filter also affects the low order harmonic performance of the system. The passive LCL filter design depends on the attenuation needed in order to reduce the high frequency component of the line current. The LCLfilter aims to reduce the high order harmonics at grid side (load side), but a poor design of the filter can cause a lower attenuation compared to that expected or even an increase of the distortion due to oscillation effects. In fact the current harmonics generated by the rectifier or inverter can cause saturation of the inductors or filter resonance. So, the inductors should be correctly designed considering the current ripple and the filter should be damped to avoid resonance. The transfer function of the LCL filter designed by the output voltage to the input current . Fig .2 LCL Filter The design of LCL filter is shown in figure 3. The three-phase active LCL filter,capacitive load injected the reactive power into the system as well as do harmonics attenuation. The values for LCL filter configuration with inverter side inductance (L1) and line side (L2) are 6.5mH and 1mH and capacitive load value considered is 3.5kVar. VI) INVERTER The inverter is used to convert DC voltage to ac in an appropriate frequency, as mentioned before. When running in parallel with the power grid, the grid itself fixes the frequency. Fixed power control is used to control the transmission. On a stand – alone system, the frequency will be defined by the load. a voltage control could be applied to the inverter, and the inverter real and reactive power will be defined automatically [14]. So depending on the status of the power plant, there are two different control strategies for the inverter: PQ control strategy, when MTG system is in grid connected operation and V-f control strategy, for operating in stand-alone mode; Fig .4 Inverter control scheme in grid connected mode In this paper the grid connected system is considered and the genetic algorithm is used to improve the control loop operation. The inverter controls the active and reactive power injected to the grid, which have to follow the set-points Pref and Qref . These set-points can be chosen by customer or by a remote control [13]. The initial value of Pref is 9kW, Qref is 3Kvar, then Pref steps up to 18kWand Qref steps up to 5.5Kvar in 0.5 s. The inverter is current controlled, and two PI controllers are used to regulate the grid current components, i.e. id and iq. Fig. 2 shows the Simulink model of first PI controller and the inverter control system model is shown in Fig. 3. In section V, the values of the coefficients related to each of these two PI controllers are determined, i.e. kp1 and ki1 for first PI controller and kp2 and ki2 for second one. Fig.3 PI Controller Scheme VII) GENETIC ALGORITHM Genetic algorithms are probabilistic search approaches which are founded on the ideas of
  • 4. Mohanraj B S et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 4), October 2014, pp.62-68 www.ijera.com 65|P a g e evolutionary processes. The GA procedure is based on the Darwinian principle of survival of the fittest. An initial population is created containing a predefined number of individuals or solutions, each represented by a genetic string incorporating the variable information. Each individual has an associated fitness measure, typically representing an objective value. The concept that fittest individuals in a population will produce fitter offspring is then implemented in order to reproduce the next population. Selected individuals are chosen for reproduction or crossover at each generation, with an appropriate mutation factor to randomly modify the genes of an individual, in order to develop the new population. The result is another set of individuals based on the original subjects leading to subsequent populations with better individual fitness. Therefore, the algorithm identifies the individuals with the optimizing fitness values, and those with lower fitness will naturally get discarded from the population[15]. Genetic Algorithms are a class of problems of producing best solutions while solving complex optimisation problems. They are capable of the search space. According to the Holland, this class of evolutionary algorithms is different from the other classes in three features.  Representation  Selection  Cross over Flow Chart For Genetic Algorithm In this work we use genetic algorithm to determine the values of PI controllers coefficients until the active and reactive power injected to the grid follow Pref and Qref in the best manner. The fitness function is the difference between the active power injected and Pref.The best fitness amount was calculated 6.5179, although the amount is not constant and the nature of genetic algorithm causes it changes in another running. The results obtained by GA to minimize the fitness function are shown in Table .
  • 5. Mohanraj B S et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 4), October 2014, pp.62-68 www.ijera.com 66|P a g e . Output Using GA Proposed PI Controllers Parameters VIII) SIMULATION RESULTS AND DISCUSSION To clarify the control strategy in grid connected operation, a test system is used, as shown in appendix. The test system has a nominal speed of 66000 rpm / min and a rated capacity of 55kW. A load of 50 kW with the frequency of 50 Hz is applied on the MTG system Fig.4 shows the active power and the reactive power outputs when GA is used. Fig.4 shows the active power and the reactive power outputs when GA is not used.where , the active power output reaches Pref after0.0171 s when Pref steps up to 18kW , but it takes more than 0.05s. The voltage across the stator terminals of generator is shown in Fig. The variation of the current in phase a according to the variation of set-points (Pref and Qref) Fig.4 Waveforms parameters Value/Type Population size 20 Type of selection Stochastic uniform Type of cross over Scattered(Probability=0.8) Type of mutation Use constraint dependent default paramete rs Kp1 Ki1 Kp2 Ki2 values 0.959 2 0.878 2 0.865 9 0.895 5
  • 6. Mohanraj B S et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 4), October 2014, pp.62-68 www.ijera.com 67|P a g e Fig.5 Three phase voltage Fig.6 current of phase a Fig .7 stator voltage Fig. 8 Real and Reactive power with GA Fig.9 inverter output Fig.10 Active and Reactive power XI .CONCLUSION A modelling of a single-shaft micro-turbine generation system suitable for connected DG application is developed in this paper. GA application in modelling of the control system of the micro-
  • 7. Mohanraj B S et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 10( Part - 4), October 2014, pp.62-68 www.ijera.com 68|P a g e turbine is also given. GA is applied in order to improve the control system performance by determining the values of the PI controller’s coefficients. The results show that the developed model provides a useful tool suitable to study the various performances of micro-turbines in grid connected operation. They also show that the use of GA can improve the control system operation. Micro turbines are relatively new in the market and are attracting wide attention due to their varied applications. Development of a sophisticated engineering product like micro turbine is a continuous process. A lot of work is yet to be done on the design aspects before the micro turbine can be readied for market consumption. The design procedure has to take into various other parameters to make it suitable for practical applications. Also, manufacturing of such complex shapes of minute size is another ongoing research work. Further research into the design and manufacture process would result in production of even better micro turbines. REFERENCES [1] Ghasemi,N., Abedi,M., Rastegar,H, and Gharepetian,G., ―Hybrid distributed generation units PEM fuel cell and microturbine,‖ Industrial Technology,2008.ICIT 2008, IEEE International Conference on, pp.1-6, 21-24 Aprill 2008. [2] W. I. Rowen, ―Simplified mathematical representations of heavy duty gas turbines,‖ Journal of Engineering for Power, Trans. ASME, vol. 105, no. 4,pp. 865-869, October 1983. [3] L.N. Hannet and Afzal Khan, ―Combustion turbine dynamic model validation from tests,‖ IEEE Trans. on Power Systems, vol.8, no.1, pp. 152-158, February 1993. [4] Working Group on Prime Mover and Energy Supply Models for System Dynamic Performance Studies, ―dynamic models for combined cycle plants in power system studies,‖ IEEE Trans. Power System, vol. 9, no.3, pp. 1698-1708, August 1994. [5] L.N. Hannett, G. Jee, and B. Fardanesh, ―A governor/turbine model for a twin-shaft combustion turbine,‖ IEEE Trans. on Power System, vol.10, no. 1, pp. 133-140, February 1995. [6] L. M. Hajagos and G. R. Berube, ―utility experience with gas turbine testing and modeling,‖ in Proceedings, IEEE PES Winter Meeting, vol. 2, pp. 671-677 January /February 2001, Columbus, OH. [7] H. Nikkhajoei and M.R. Iravani, ―Modeling and analysis of a microturbine generation system,‖ IEEE Power Engineering Society Summer Meeting, vol .1, pp. 167 -169, 2002. [8] R. Lasseter, ―Dynamic models for micro- turbines and fuel cells,‖ in Proc. IEEE PES Summer Meeting, vol. 2, Vancouver, Canada,2001, pp.761-766 [9] A. Al-Hinai, K. Schoder, and A. Feliachi, ―Control of grid-connected split shaft microturbine distributed generator,‖ System Theory,Proceedings of the 35th Southeastern Symposium, pp. 84 –88, 2003. [10] Lasseter Robert, ―Dynamic models for micro- turbines and fuel cells,‖ Proceedings ,IEEE PES Summer Meeting, vol. 2, pp. 761-766, July 2001, Vancouver, Canada. [11] H. Nikkhajoei and R. Iravani, ―Electromagnetic transients of a microturbine based distributed generation system,‖ in Proc. International Conference on Power Systems Transients (IPST'05), Montreal, Canada,2001. [12] Y. Zhu and K. Tomsovic, ―Development of models for analyzing the load-following performance of microturbines and fuel cells,‖ Journal of Electric Power Systems Research, vol. 62, pp. 1-11, 2002. [13] Zhou Yunhai and Stenzel ,J, ―Simulation of a microturbine generation system for grid connected and islanding operation,‖ Power and Energy Engineering Conferences ,2009. APPEEC 2009. Asia-Pacific ,27 – 31 march 2009, pp. 1 – 5. [14] Tao Yu and Jia-Peng tong, ―Auto disturbance rejection control of microturbine system,‖ Power and Energy Society Meeting- Conversion and Delivery of Electrical Energy in the 21st Century, 2008 IEEE, pp. 1 – 6, July.2008. [15] Kahouli,A., Guesmi,T., Hadj Abdallah and Ouali,A., ―A genetic algorithm PSS and AVR controller for electrical power system stability,” System, Signal and Devices, 2009. SSD'09. 6th International Multi-Conference on, pp. 1-6,23- 26 March 2009. BIOGRAPHIES Mohanraj.B.S received his B.E from Anna University and M.E from SRM University. Currently working in SRM University .He has experience in electric Power System operation, control, SCADA, and EMS. Arunnambi.P received his B.E from Anna University and M.E from SRM University. Currently working in SRM University .He has experience in electric Power System operation, control,power Quality. Selvabharathi .D received his B.E from Anna University and M.E from SRM University. Currently working in SRM University .He has experience in electric Power Electronics ,Power Quality.