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International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume 4 Issue 2, February 2020 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470
@ IJTSRD | Unique Paper ID – IJTSRD29823 | Volume – 4 | Issue – 2 | January-February 2020 Page 28
Load Frequency Control of Three Area
Power System using Fuzzy Logic Controller
K. Sumanth Kumar, S. Thirumalaiah
EEE Department, KV Subba Reddy Institute of Technology, Dupadu, Andhra Pradesh, India
ABSTRACT
This paper proposes a method to determine the magnitude and location of
load disturbances in multi-area power systems via monitoring tie-line power
flows, implementing demand response regionally. In this work, proposes an
intelligent coordination between secondary control and demand response
through a supervisory fuzzy-PI-based coordinator. The simulations were
performed in the environment of MATLAB/SIMULINK.
KEYWORDS: Multi-Area Power System, Load Frequency Control, fuzzy-PI-based
coordinator
How to cite this paper: K. Sumanth
Kumar | S. Thirumalaiah "LoadFrequency
Control of ThreeArea Power Systemusing
Fuzzy Logic Controller" Published in
International Journal
of Trend in Scientific
Research and
Development(ijtsrd),
ISSN: 2456-6470,
Volume-4 | Issue-2,
February 2020,
pp.28-32, URL:
www.ijtsrd.com/papers/ijtsrd29823.pdf
Copyright © 2019 by author(s) and
International Journal ofTrendinScientific
Research and Development Journal. This
is an Open Access article distributed
under the terms of
the Creative
CommonsAttribution
License (CC BY 4.0)
(http://creativecommons.org/licenses/by
/4.0)
I. INRODUCTION
Understanding of the frequency dynamics of power systems
is essential for several issues including frequency control
design and estimation of the system inertia through
measurements. Consider a power system with several
conventional synchronous generators. If this power system
is subjected to a disturbance such as a sudden outage of a
generator, then dynamical changes in the system start
instantaneously. These dynamics are mainly caused by the
instantaneous power imbalance between the instantaneous
generation and consumption of electric power.
Consequently, the remaining synchronous generators are
subjected to acceleration and decelerationeffects.Dueto the
strong connection between the mechanical and electrical
frequency, the changes in the rotor speed results in changes
in the electrical frequency. Eventually, the power balance
and the frequency are restored in the system has sufficient
capacity to compensate the lost generation. This control
action is called primary Automatic Load Frequency Control
(ALFC). In this direction, the load-frequency control (LFC)is
one of important control problems in concerning the
integration of wind power turbine in a multi-area power
system [2, 8, 18, 20, 21].The increasing need for electrical
energy in the twenty-first century, as well as limited fossil
fuel reserves, very high transportation and fuel cost and the
increasing concerns with environmental issues for the
reduction of carbon dioxide (CO2) and other greenhouse
gasses, causes fast development in the area of renewable
energy sources (RESs). One of the adaptive and nonlinear
intelligent control techniques that can be effectively
applicable in the frequency control design is reinforcement
learning (RL). Some efforts are addressed in [3, 4, 5, 7, 16,
17]. RL based controllers learn and are adjusted to keep the
area control error small enough in each sampling time of a
LFC cycle. Since, these controllers are based on learning
methods; they are independent of environment conditions
and can learn a wide range of operating conditions. The RL
based frequency control design is a model-free design and
can easily scalable for large scale systems and suitable for
frequency variation caused by wind turbine fluctuation.
Using conventional linear control methodologiesfortheLFC
design in a modern power system is not more efficient,
because they are only suitable for a specific operating point
in a traditional structure. If the dynamic/structureofsystem
varies; they may not perform as expected. Most of
conventional control strategies provide model based
controllers that are highly dependent to the specific models,
and are not useable for large-scale power systems
concerning the integration of RES units with nonlinearities,
undefined parameters and uncertain models. If the
dimensions of the power system increase,thenthesecontrol
design may become more different as the number of the
state variables also increases,significantly.Therefore,design
of intelligent controllers that are more adaptive and flexible
than conventional controllers is become an appealing
approach. When WTGs are introduced to the power system,
as they generate a part of power system loads, much portion
of conventional nominal power can be available for using in
supplementary control. However,asthevariable windfarms
power output may or may not be available during peak
demand and abnormal periods, due to unpredictable nature
IJTSRD29823
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD29823 | Volume – 4 | Issue – 2 | January-February 2020 Page 29
of wind; it might be that these resources cannot contribute
to the overall system frequency regulationand reliability.On
the other hand, the additional power variation from WTGs
results in frequency deviation. It seems that for a large wind
power penetration, this deviation will be so larger and as a
result, the conventional LFC reserve may be insufficient to
maintain frequency within the bounds for service quality. It
was found that wind power, does not impose major extra
variations on the system until a substantial penetration is
reached [11]. Large geographical spreading of wind power
will reduce variability, increasespredictability,anddecrease
the occasions with near zero or peak output [22]. It is
investigated in [11] that the power fluctuation from
geographically dispersed wind farms will be uncorrelated
with each other, hence smoothing the sum power and not
imposing any significant requirement for additional
frequency regulation reserve,andrequired extra balancingis
small.
The fluctuation of the aggregated wind power output in a
short term (e.g., tens of seconds) for a largernumberof wind
turbines are much smoothed. It is investigated that the wind
turbines aggregation has positive effects on the regulation
requirement. Relative regulation requirement decreases
whenever larger aggregations are considered [22].
II. POWER GENERATING SYSTEM
The relationship between ΔPm and Δf is shown in Fig.1,
where M is the inertia constant of the generator.
Fig.1: Block diagram of the generator
If the mechanical powerremainsunchanged,themotorloads
will compensate the load change at a rotor speed that is
different from a scheduled value, which is shown in Fig.2.
Where, D is the load damping constant.
The reduced form of Fig.2 is shown in Fig.3, which is the
generator model that we plan to use for the LFC design. The
Laplace-transform representation of the block diagram is
shown in Fig.3.
Fig.2: Block diagram of the generator with load
damping effect
Fig.3: Reduced block diagram of the generator with
the load damping effect
Governors are the units that are used in power systems to
sense the frequency bias caused by the load change and
cancel it by varying the inputs of the turbines.Theschematic
diagram of a speed governing unit is shown in Fig.4,whereR
is the speed regulation characteristic and Tg is the time
constant of the governor [1].
Fig.4: Schematic diagram of a speed governing unit
The reduced form of Fig.4 is shown in Fig.5. The Laplace
transform representation of the block diagram in Fig.5 is
given by
Fig.5: Reduced block diagram of the speed governing
unit
In an interconnected power system, different areas are
connected with each other via tie-lines. When the
frequencies in two areas are different, a power exchange
occurs through the tie-line that connectedthetwoareas.The
tie-line connections can be modeled as shown in Fig.6.
Fig.6: Block diagram of the tie-lines
With the power generating unitsandthetie-lineconnections
of interconnected areas introduced and a complete form of
one-area power generating unit can be constructed as Fig.7.
Fig.7: Schematic of one-area power generating unit
The communication delays can be mainly considered on the
control input and the control output of the LFC system: The
delays on the measured frequency and power tie-line flow
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD29823 | Volume – 4 | Issue – 2 | January-February 2020 Page 30
from RTUs to the control center, which can be reflected into
the ACE and the produced control command signal from
control center to individual generation units. A simplified
time-delayed LFC system is shown in Fig. 8.
Fig.8: A general control area with time delays
III. MULTI-AREA POWER SYSTEM
Fig. 9 is a control block diagram for the ith area of a multi
area power system. Although a power system is nonlinear
and dynamic, the linearized model is permissible in the load
frequency control problem because only small changes in
load are expected during its normal operation [21].
Fig.9: Block diagram of the ith area of a multi-area
power system
IV. FUZZY-PI-CONTROLLER
Most robust and optimal load–frequency control methods
published in the last two decades suggest complex state-
feedback or high-order dynamic controllers[1–8],which are
impractical for industry practices.
In practice, LFC systems use simple proportional–integral
(PI) controllers. However, sincethePIcontrollerparameters
are usually tuned based on experiences, classical or trial-
and-error approaches, they are incapable of obtaining good
dynamical performance for a wide range of operating
conditions and various load changes scenarios in a multi-
area power system. Recently, some control methods have
been applied to the design of decentralized robust PI orlow-
order controllers to solve the LFC problem [9–12].
Fuzzy logic is used to cope with this phenomenon, i.e.,
protecting the system against excessive
overshoots/undershoots and consequently reducing CO2
emission and to adjust the responsive generators according
to the amount of regulation provided by the RDR. Therefore,
fuzzy logic is used not only for handling control actions, but
also for making coordination between generation side and
demand side. Minimizing the frequency deviations due to
fast changes in output power of wind turbines, and limiting
the tie-line power interchanges in an acceptable range are
the other goals of this effort. Furthermore, the fuzzy logic is
able to compensate the inability of the classic control theory
for covering complex power systems with uncertainties and
inaccuracies. Recent work oftheauthorsin[2]demonstrates
that fuzzy logic can be used as a suitable intelligent method
for online tuning of PI controller parameters. In this case,
fuzzy logic is used as a supervisor for fine tuning of
conventional PI controllers. In the present work, the PI
controller is remained, and the fuzzy logic is used for on-line
tuning of its parameters. Therefore, this control
configuration provides a smoothperformanceinstartupand
transient circumstances and it could be more acceptable for
real-time LFC application.
V. SIMULATION RESULTS
The three-area interconnected power system is analyzed to
illustrate the effectiveness of the proposed control scheme.
In order to validate the proposed topology, simulation is
carried out using the Matlab/Simulink. Fig.8 and Fig.9 is
simulated to evaluate the performance of Fuzzy-PI for three
area power system. As can be seen, there is a significant
resemblance betweentheestimatedandactual loadchanges.
Fig. 10 (b) and Fig. 10 (c) show that the proposed RDR can
effectively reducetheamountofthefrequencyexcursion and
variations, and also demonstrate that the tie-line power
changes are maintained within a narrow band.
0 50 100 150 200 250 300
0
20
40
Time (s)
DeltaPLoad(MW)
Estimated load change
Actual load change
(a)
0 50 100 150 200 250 300
-0.2
-0.1
0
0.1
Time (s)
Delta_f(Hz)
Conventional PI
Conventional PI& RDR
(b)
0 50 100 150 200 250 300
-0.1
0
0.1
0.2
Time (s)
Delta_Ptie_1(pu)
Conventional PI
Conventional PI& RDR
0 50 100 150 200 250 300
-0.1
0
0.1
0.2
Time (s)
Delta_Ptie_2(pu)
Conventional PI
Conventional PI& RDR
0 50 100 150 200 250 300
-0.1
0
0.1
0.2
Time (s)
Delta_Ptie_3(pu)
Conventional PI
Conventional PI& RDR
(c)
Fig.11 comparison of conventional PI controller
versus the RDR contribution
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD29823 | Volume – 4 | Issue – 2 | January-February 2020 Page 31
A random step loads are applied to all three areas according
to Fig. 12(a). System frequency response and tie-line power
changes, in the case of comparing the performance of
conventional controllers versusparticipationoftheRDR and
supervisory fuzzy-PI-based coordinator are given in Fig.
12(b) and Fig. 12(c), respectively. Theobtainedresultsshow
that the designed method can ensure a good performance in
a multi-area power system in the existence of random step
load changes and wind power fluctuations.
0 50 100 150 200 250 300
-20
0
20
40
60
Time (s)
Delta_PLoad(MW)
Area1
Area2
Area3
(a)
0 50 100 150 200 250 300
-0.2
-0.1
0
0.1
0.2
Time (s)
Delta_f(Hz)
Conventional PI
Conventional PI& RDR
Conventional PI& RDR & Supervisory coordinator
(b)
0 50 100 150 200 250 300
-0.1
0
0.1
Time (s)
Delta_Ptie_1(pu)
Conventional PI
Conventional PI& RDR
Conventional PI& RDR & Supervisory coordinator
0 50 100 150 200 250 300
-0.2
-0.1
0
0.1
0.2
Time (s)
Delta_Ptie_2(pu)
Conventional PI
Conventional PI& RDR
Conventional PI& RDR & Supervisory coordinator
0 50 100 150 200 250 300
-0.2
-0.1
0
0.1
0.2
Time (s)
Delta_Ptie_3(pu)
Conventional PI
Conventional PI& RDR
Conventional PI& RDR & Supervisory coordinator
(c)
Fig.12: System response following a sequence of step
load changes in all areas
VI. CONCLUSIONS
A fuzzy-PI-based supervisory controller is introduced as a
coordinator between the demand response and secondary
frequency control to adjust the responsive generators
according to the amount of regulation provided by the RDR.
This coordinator will covernotonlythesystemuncertainties
but also time delay side effects of the RDR scheme.
REFERENCES
[1] B H. Bevrani, Robust Power SystemFrequencyControl.
New York, NY, USA: Springer, 2009.
[2] N. Chuang, “Robust H∞	 load-frequency control in
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[3] S. Snmez and S. Ayasun, “Stability region in the
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[4] C.-K. Zhang, L. Jiang, Q. Wu, Y. He, and M. Wu, “Delay-
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[5] A. Khodabakhshian and M. Edrisi, “A new robust PID
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[6] W. Tan, “Unified tuning of PID load frequency
controller for power systems via IMC,” IEEE	 Trans.,	
Power	Syst., vol. 25, no. 1, pp. 341–350, Feb. 2010.
[7] R. Vijaya Santhi, K. Sudha, and S. Prameela Devi,
“Robust load frequency control of multi-area
interconnected system including SMES units using
type-2 fuzzy controller,” in Proc.	2013	IEEE	Int.	Conf.	
Fuzzy	Syst.,	2013, pp. 1–7.
[8] C. Boonchuay, “Improving regulation service basedon
adaptive load frequency control in LMP energy
market,” IEEE	Trans.	Power	Syst., vol.29,no.2,pp.988–
989, Mar. 2014.
[9] S. Nag and N. Philip, “Application of neural networksto
automatic load frequency control,” in Proc.	Int.	Conf.	
Control,	Instrum.,	Energy	Commun., 2014, pp. 345–350.
[10] C. Boonchuay, “Improving regulation service based on
adaptive load frequency control in LMP energy
market,” IEEE	Trans.	Power	Syst., vol.29,no.2,pp.988–
989, Mar. 2014.
[11] L. Dong and Y. Zhang, “On design of a robust load
frequency controller for interconnected power
systems,” in Proc.	Amer.	Control	Conf.,	2010, 2010, pp.
1731–1736.
[12] H. Bevrani, Y. Mitani, and K. Tsuji, “Robust
decentralized load-frequencycontrol usinganiterative
linear matrix inequalities algorithm,” IEE	Proc.-Gener.,	
Transm.	Distrib., vol. 151, no. 3, pp. 347–354, 2004.
[13] A. Bensenouci and A. A. Ghany, “Mixed H∞/H2 with
pole-placement design of robust LMI-based output
feedback controllers for multi-area load frequency
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Tool, 2007, pp. 1561–1566.
[14] M. Rahmani and N. Sadati, “Hierarchical optimal robust
load-frequency control for power systems,” IET	Gener.,	
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International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD29823 | Volume – 4 | Issue – 2 | January-February 2020 Page 32
Trans., Power Syst., vol. 26, no. 1, pp. 233–240, Feb.
2011.
[16] S. Wen, X. Yu, Z. Zeng, and J. Wang, “Event-triggering
load frequency control for multi-area power systems
with communication delays,” IEEE Trans. Ind. Electron.,
vol. 63, no. 2, pp. 1308–1317, 2016.
[17] K. Vrdoljak, I. Petrovic, and N. Peric, “Discrete-time
sliding mode control of load frequency in power
systems with input delay,” in Proc. 12th Int. Power
Electron. Motion Control Conf., 2006, pp. 567–572.
[18] M. Liu, L. Yang, D. Gan, D. Wang, F. Gao, and Y. Chen,
“The stability of AGC systems with commensurate
delays,” Eur. Trans. Elect. Power, vol. 17, no. 6, pp. 615–
627, 2007.
[19] L. Yongjuan, M. Yang, Y. Yang, and W. Limin, “The study
of sliding mode load frequency control for single area
time delay power system,” in Proc. 2015 27th Chin.
Control Decis. Conf., 2015, pp. 602–607.
[20] X. Xie, Y. Xin, J. Xiao, J. Wu, and Y. Han, “WAMS
applications in Chinese power systems,” IEEE Power
Energy Mag., vol. 4, no. 1, pp. 54–63, Jan./Feb. 2006.
[21] H. Bevrani and T. Hiyama, “Robust decentralized PI
based LFC design for time delay power systems,”
Energy Convers. Manage. vol. 49, no. 2, pp. 193–204,
2008.
K. Sumanth Kumar has received B. Tech
in the year of 2015 from RGMCET,
Nandyal. He is pursuing M. Tech from the
Dr. K. V. Subba Reddy Institute of
Technology, Kurnool.Hisareasofinterest
include Power System, PowerElectronics
and Electrical Machines.
S. Thirumalaiah is an Asst. Professor at
KV Subba Reddy Institute of Technology,
Kurnool. He has 12 years of experiencein
power system and power electronics
field. He has published several
international and national conferences
and journals. He has attended several
international and notional workshops.

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Load Frequency Control of Three Area Power System using Fuzzy Logic Controller

  • 1. International Journal of Trend in Scientific Research and Development (IJTSRD) Volume 4 Issue 2, February 2020 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470 @ IJTSRD | Unique Paper ID – IJTSRD29823 | Volume – 4 | Issue – 2 | January-February 2020 Page 28 Load Frequency Control of Three Area Power System using Fuzzy Logic Controller K. Sumanth Kumar, S. Thirumalaiah EEE Department, KV Subba Reddy Institute of Technology, Dupadu, Andhra Pradesh, India ABSTRACT This paper proposes a method to determine the magnitude and location of load disturbances in multi-area power systems via monitoring tie-line power flows, implementing demand response regionally. In this work, proposes an intelligent coordination between secondary control and demand response through a supervisory fuzzy-PI-based coordinator. The simulations were performed in the environment of MATLAB/SIMULINK. KEYWORDS: Multi-Area Power System, Load Frequency Control, fuzzy-PI-based coordinator How to cite this paper: K. Sumanth Kumar | S. Thirumalaiah "LoadFrequency Control of ThreeArea Power Systemusing Fuzzy Logic Controller" Published in International Journal of Trend in Scientific Research and Development(ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-2, February 2020, pp.28-32, URL: www.ijtsrd.com/papers/ijtsrd29823.pdf Copyright © 2019 by author(s) and International Journal ofTrendinScientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative CommonsAttribution License (CC BY 4.0) (http://creativecommons.org/licenses/by /4.0) I. INRODUCTION Understanding of the frequency dynamics of power systems is essential for several issues including frequency control design and estimation of the system inertia through measurements. Consider a power system with several conventional synchronous generators. If this power system is subjected to a disturbance such as a sudden outage of a generator, then dynamical changes in the system start instantaneously. These dynamics are mainly caused by the instantaneous power imbalance between the instantaneous generation and consumption of electric power. Consequently, the remaining synchronous generators are subjected to acceleration and decelerationeffects.Dueto the strong connection between the mechanical and electrical frequency, the changes in the rotor speed results in changes in the electrical frequency. Eventually, the power balance and the frequency are restored in the system has sufficient capacity to compensate the lost generation. This control action is called primary Automatic Load Frequency Control (ALFC). In this direction, the load-frequency control (LFC)is one of important control problems in concerning the integration of wind power turbine in a multi-area power system [2, 8, 18, 20, 21].The increasing need for electrical energy in the twenty-first century, as well as limited fossil fuel reserves, very high transportation and fuel cost and the increasing concerns with environmental issues for the reduction of carbon dioxide (CO2) and other greenhouse gasses, causes fast development in the area of renewable energy sources (RESs). One of the adaptive and nonlinear intelligent control techniques that can be effectively applicable in the frequency control design is reinforcement learning (RL). Some efforts are addressed in [3, 4, 5, 7, 16, 17]. RL based controllers learn and are adjusted to keep the area control error small enough in each sampling time of a LFC cycle. Since, these controllers are based on learning methods; they are independent of environment conditions and can learn a wide range of operating conditions. The RL based frequency control design is a model-free design and can easily scalable for large scale systems and suitable for frequency variation caused by wind turbine fluctuation. Using conventional linear control methodologiesfortheLFC design in a modern power system is not more efficient, because they are only suitable for a specific operating point in a traditional structure. If the dynamic/structureofsystem varies; they may not perform as expected. Most of conventional control strategies provide model based controllers that are highly dependent to the specific models, and are not useable for large-scale power systems concerning the integration of RES units with nonlinearities, undefined parameters and uncertain models. If the dimensions of the power system increase,thenthesecontrol design may become more different as the number of the state variables also increases,significantly.Therefore,design of intelligent controllers that are more adaptive and flexible than conventional controllers is become an appealing approach. When WTGs are introduced to the power system, as they generate a part of power system loads, much portion of conventional nominal power can be available for using in supplementary control. However,asthevariable windfarms power output may or may not be available during peak demand and abnormal periods, due to unpredictable nature IJTSRD29823
  • 2. International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD29823 | Volume – 4 | Issue – 2 | January-February 2020 Page 29 of wind; it might be that these resources cannot contribute to the overall system frequency regulationand reliability.On the other hand, the additional power variation from WTGs results in frequency deviation. It seems that for a large wind power penetration, this deviation will be so larger and as a result, the conventional LFC reserve may be insufficient to maintain frequency within the bounds for service quality. It was found that wind power, does not impose major extra variations on the system until a substantial penetration is reached [11]. Large geographical spreading of wind power will reduce variability, increasespredictability,anddecrease the occasions with near zero or peak output [22]. It is investigated in [11] that the power fluctuation from geographically dispersed wind farms will be uncorrelated with each other, hence smoothing the sum power and not imposing any significant requirement for additional frequency regulation reserve,andrequired extra balancingis small. The fluctuation of the aggregated wind power output in a short term (e.g., tens of seconds) for a largernumberof wind turbines are much smoothed. It is investigated that the wind turbines aggregation has positive effects on the regulation requirement. Relative regulation requirement decreases whenever larger aggregations are considered [22]. II. POWER GENERATING SYSTEM The relationship between ΔPm and Δf is shown in Fig.1, where M is the inertia constant of the generator. Fig.1: Block diagram of the generator If the mechanical powerremainsunchanged,themotorloads will compensate the load change at a rotor speed that is different from a scheduled value, which is shown in Fig.2. Where, D is the load damping constant. The reduced form of Fig.2 is shown in Fig.3, which is the generator model that we plan to use for the LFC design. The Laplace-transform representation of the block diagram is shown in Fig.3. Fig.2: Block diagram of the generator with load damping effect Fig.3: Reduced block diagram of the generator with the load damping effect Governors are the units that are used in power systems to sense the frequency bias caused by the load change and cancel it by varying the inputs of the turbines.Theschematic diagram of a speed governing unit is shown in Fig.4,whereR is the speed regulation characteristic and Tg is the time constant of the governor [1]. Fig.4: Schematic diagram of a speed governing unit The reduced form of Fig.4 is shown in Fig.5. The Laplace transform representation of the block diagram in Fig.5 is given by Fig.5: Reduced block diagram of the speed governing unit In an interconnected power system, different areas are connected with each other via tie-lines. When the frequencies in two areas are different, a power exchange occurs through the tie-line that connectedthetwoareas.The tie-line connections can be modeled as shown in Fig.6. Fig.6: Block diagram of the tie-lines With the power generating unitsandthetie-lineconnections of interconnected areas introduced and a complete form of one-area power generating unit can be constructed as Fig.7. Fig.7: Schematic of one-area power generating unit The communication delays can be mainly considered on the control input and the control output of the LFC system: The delays on the measured frequency and power tie-line flow
  • 3. International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD29823 | Volume – 4 | Issue – 2 | January-February 2020 Page 30 from RTUs to the control center, which can be reflected into the ACE and the produced control command signal from control center to individual generation units. A simplified time-delayed LFC system is shown in Fig. 8. Fig.8: A general control area with time delays III. MULTI-AREA POWER SYSTEM Fig. 9 is a control block diagram for the ith area of a multi area power system. Although a power system is nonlinear and dynamic, the linearized model is permissible in the load frequency control problem because only small changes in load are expected during its normal operation [21]. Fig.9: Block diagram of the ith area of a multi-area power system IV. FUZZY-PI-CONTROLLER Most robust and optimal load–frequency control methods published in the last two decades suggest complex state- feedback or high-order dynamic controllers[1–8],which are impractical for industry practices. In practice, LFC systems use simple proportional–integral (PI) controllers. However, sincethePIcontrollerparameters are usually tuned based on experiences, classical or trial- and-error approaches, they are incapable of obtaining good dynamical performance for a wide range of operating conditions and various load changes scenarios in a multi- area power system. Recently, some control methods have been applied to the design of decentralized robust PI orlow- order controllers to solve the LFC problem [9–12]. Fuzzy logic is used to cope with this phenomenon, i.e., protecting the system against excessive overshoots/undershoots and consequently reducing CO2 emission and to adjust the responsive generators according to the amount of regulation provided by the RDR. Therefore, fuzzy logic is used not only for handling control actions, but also for making coordination between generation side and demand side. Minimizing the frequency deviations due to fast changes in output power of wind turbines, and limiting the tie-line power interchanges in an acceptable range are the other goals of this effort. Furthermore, the fuzzy logic is able to compensate the inability of the classic control theory for covering complex power systems with uncertainties and inaccuracies. Recent work oftheauthorsin[2]demonstrates that fuzzy logic can be used as a suitable intelligent method for online tuning of PI controller parameters. In this case, fuzzy logic is used as a supervisor for fine tuning of conventional PI controllers. In the present work, the PI controller is remained, and the fuzzy logic is used for on-line tuning of its parameters. Therefore, this control configuration provides a smoothperformanceinstartupand transient circumstances and it could be more acceptable for real-time LFC application. V. SIMULATION RESULTS The three-area interconnected power system is analyzed to illustrate the effectiveness of the proposed control scheme. In order to validate the proposed topology, simulation is carried out using the Matlab/Simulink. Fig.8 and Fig.9 is simulated to evaluate the performance of Fuzzy-PI for three area power system. As can be seen, there is a significant resemblance betweentheestimatedandactual loadchanges. Fig. 10 (b) and Fig. 10 (c) show that the proposed RDR can effectively reducetheamountofthefrequencyexcursion and variations, and also demonstrate that the tie-line power changes are maintained within a narrow band. 0 50 100 150 200 250 300 0 20 40 Time (s) DeltaPLoad(MW) Estimated load change Actual load change (a) 0 50 100 150 200 250 300 -0.2 -0.1 0 0.1 Time (s) Delta_f(Hz) Conventional PI Conventional PI& RDR (b) 0 50 100 150 200 250 300 -0.1 0 0.1 0.2 Time (s) Delta_Ptie_1(pu) Conventional PI Conventional PI& RDR 0 50 100 150 200 250 300 -0.1 0 0.1 0.2 Time (s) Delta_Ptie_2(pu) Conventional PI Conventional PI& RDR 0 50 100 150 200 250 300 -0.1 0 0.1 0.2 Time (s) Delta_Ptie_3(pu) Conventional PI Conventional PI& RDR (c) Fig.11 comparison of conventional PI controller versus the RDR contribution
  • 4. International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD29823 | Volume – 4 | Issue – 2 | January-February 2020 Page 31 A random step loads are applied to all three areas according to Fig. 12(a). System frequency response and tie-line power changes, in the case of comparing the performance of conventional controllers versusparticipationoftheRDR and supervisory fuzzy-PI-based coordinator are given in Fig. 12(b) and Fig. 12(c), respectively. Theobtainedresultsshow that the designed method can ensure a good performance in a multi-area power system in the existence of random step load changes and wind power fluctuations. 0 50 100 150 200 250 300 -20 0 20 40 60 Time (s) Delta_PLoad(MW) Area1 Area2 Area3 (a) 0 50 100 150 200 250 300 -0.2 -0.1 0 0.1 0.2 Time (s) Delta_f(Hz) Conventional PI Conventional PI& RDR Conventional PI& RDR & Supervisory coordinator (b) 0 50 100 150 200 250 300 -0.1 0 0.1 Time (s) Delta_Ptie_1(pu) Conventional PI Conventional PI& RDR Conventional PI& RDR & Supervisory coordinator 0 50 100 150 200 250 300 -0.2 -0.1 0 0.1 0.2 Time (s) Delta_Ptie_2(pu) Conventional PI Conventional PI& RDR Conventional PI& RDR & Supervisory coordinator 0 50 100 150 200 250 300 -0.2 -0.1 0 0.1 0.2 Time (s) Delta_Ptie_3(pu) Conventional PI Conventional PI& RDR Conventional PI& RDR & Supervisory coordinator (c) Fig.12: System response following a sequence of step load changes in all areas VI. CONCLUSIONS A fuzzy-PI-based supervisory controller is introduced as a coordinator between the demand response and secondary frequency control to adjust the responsive generators according to the amount of regulation provided by the RDR. This coordinator will covernotonlythesystemuncertainties but also time delay side effects of the RDR scheme. REFERENCES [1] B H. Bevrani, Robust Power SystemFrequencyControl. New York, NY, USA: Springer, 2009. [2] N. Chuang, “Robust H∞ load-frequency control in interconnected power systems,” IET Control Theory Appl., vol. 10, no. 1, pp. 67–75, 2016. [3] S. Snmez and S. Ayasun, “Stability region in the parameter space of PI controller for a single-area load frequency control system with time delay,”IEEE Trans. Power Syst., vol. 31, no. 1, pp. 829–830, Jan. 2016. [4] C.-K. Zhang, L. Jiang, Q. Wu, Y. He, and M. Wu, “Delay- dependent robustloadfrequencycontrol fortimedelay power systems,” IEEE Trans. Power Syst., vol. 28, no. 3, pp. 2192–2201, Aug. 2013. [5] A. Khodabakhshian and M. Edrisi, “A new robust PID load frequency controller,” Control Eng. Pract., vol. 16, no. 9, pp. 1069–1080, 2008. [6] W. Tan, “Unified tuning of PID load frequency controller for power systems via IMC,” IEEE Trans., Power Syst., vol. 25, no. 1, pp. 341–350, Feb. 2010. [7] R. Vijaya Santhi, K. Sudha, and S. Prameela Devi, “Robust load frequency control of multi-area interconnected system including SMES units using type-2 fuzzy controller,” in Proc. 2013 IEEE Int. Conf. Fuzzy Syst., 2013, pp. 1–7. [8] C. Boonchuay, “Improving regulation service basedon adaptive load frequency control in LMP energy market,” IEEE Trans. Power Syst., vol.29,no.2,pp.988– 989, Mar. 2014. [9] S. Nag and N. Philip, “Application of neural networksto automatic load frequency control,” in Proc. Int. Conf. Control, Instrum., Energy Commun., 2014, pp. 345–350. [10] C. Boonchuay, “Improving regulation service based on adaptive load frequency control in LMP energy market,” IEEE Trans. Power Syst., vol.29,no.2,pp.988– 989, Mar. 2014. [11] L. Dong and Y. Zhang, “On design of a robust load frequency controller for interconnected power systems,” in Proc. Amer. Control Conf., 2010, 2010, pp. 1731–1736. [12] H. Bevrani, Y. Mitani, and K. Tsuji, “Robust decentralized load-frequencycontrol usinganiterative linear matrix inequalities algorithm,” IEE Proc.-Gener., Transm. Distrib., vol. 151, no. 3, pp. 347–354, 2004. [13] A. Bensenouci and A. A. Ghany, “Mixed H∞/H2 with pole-placement design of robust LMI-based output feedback controllers for multi-area load frequency control,” in Proc. EUROCON 2007—Int. Conf. Comput. Tool, 2007, pp. 1561–1566. [14] M. Rahmani and N. Sadati, “Hierarchical optimal robust load-frequency control for power systems,” IET Gener., Transm. Distrib., vol. 6, no. 4, pp. 303–312, Apr. 2012. [15] W. Yao, L. Jiang, Q. Wu, J. Wen, and S. Cheng, “Delay- dependent stability analysis of the power system with a wide-area damping controller embedded,” IEEE
  • 5. International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD29823 | Volume – 4 | Issue – 2 | January-February 2020 Page 32 Trans., Power Syst., vol. 26, no. 1, pp. 233–240, Feb. 2011. [16] S. Wen, X. Yu, Z. Zeng, and J. Wang, “Event-triggering load frequency control for multi-area power systems with communication delays,” IEEE Trans. Ind. Electron., vol. 63, no. 2, pp. 1308–1317, 2016. [17] K. Vrdoljak, I. Petrovic, and N. Peric, “Discrete-time sliding mode control of load frequency in power systems with input delay,” in Proc. 12th Int. Power Electron. Motion Control Conf., 2006, pp. 567–572. [18] M. Liu, L. Yang, D. Gan, D. Wang, F. Gao, and Y. Chen, “The stability of AGC systems with commensurate delays,” Eur. Trans. Elect. Power, vol. 17, no. 6, pp. 615– 627, 2007. [19] L. Yongjuan, M. Yang, Y. Yang, and W. Limin, “The study of sliding mode load frequency control for single area time delay power system,” in Proc. 2015 27th Chin. Control Decis. Conf., 2015, pp. 602–607. [20] X. Xie, Y. Xin, J. Xiao, J. Wu, and Y. Han, “WAMS applications in Chinese power systems,” IEEE Power Energy Mag., vol. 4, no. 1, pp. 54–63, Jan./Feb. 2006. [21] H. Bevrani and T. Hiyama, “Robust decentralized PI based LFC design for time delay power systems,” Energy Convers. Manage. vol. 49, no. 2, pp. 193–204, 2008. K. Sumanth Kumar has received B. Tech in the year of 2015 from RGMCET, Nandyal. He is pursuing M. Tech from the Dr. K. V. Subba Reddy Institute of Technology, Kurnool.Hisareasofinterest include Power System, PowerElectronics and Electrical Machines. S. Thirumalaiah is an Asst. Professor at KV Subba Reddy Institute of Technology, Kurnool. He has 12 years of experiencein power system and power electronics field. He has published several international and national conferences and journals. He has attended several international and notional workshops.