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61 International Journal for Modern Trends in Science and Technology
Volume: 2 | Issue: 05 | May 2016 | ISSN: 2455-3778IJMTST
Adaptive Neuro Fuzzy Controller Based Power
System Stabilizer for Damping of Power Oscillation
Control in Two Area Four Machine Power System
Shubi Sharda 1
| Mr. Geoffrey Eappen 2
1 M.Tech Scholar, Department of ECE, MATS University Raipur, Chhattisgarh, India
2Assistant Professor, Department of ECE, MATS University Raipur, Chhattisgarh, India
Maximum power transfer and optimal power flow is desired which is affected by the inter area oscillation
of low frequency .To avoid low frequency inter area power oscillations power system stabilizer is added to
the automatic voltage regulators on the generators. Stabilizer provides the means to damp these low
frequency power oscillations .Different types of stabilizers are available to damp power oscillations still a
power system stabilizers can be developed to effectively damp low frequency power oscillations. Without
increasing the system complexity these oscillations can be reduced with the help of developing power system
stabilizer to damp the low frequency inter area power oscillations.
Adaptive Neuro Fuzzy Interface system (ANFIS) is designed to achieve fast and effective power oscillation
damping in two area four machine power system. This work is implemented with MATLAB simulink 2012(b).
Also comparative analysis of low frequency power oscillation damping of ANFIS controller based stabilizer
and conventional PID power system stabilizer is presented in this paper. Comparison of results show that
low frequency inter area power oscillation damping of ANFIS controller based stabilizer is much higher than
PID power system stabilizer. Also damping time provided by ANFIS controller based power system stabilizer
is 75% less in comparison to PID power system stabilizer .
KEYWORDS: Keyword 1, Keyword 2, Keyword 3, Keyword 4, Keyword 5PID Controller, Power System
Stabilizer, Adaptive Neuro Fuzzy Interface System Controller
Copyright © 2015 International Journal for Modern Trends in Science and Technology
All rights reserved.
I. INTRODUCTION
System events when coupled with a poorly
damped electric power system causes Inter area
power oscillations. Large systems with group of
generating lines which are connected by weak tie
lines consists of oscillations . Group of generators
on one side of tie lines oscillating against groups of
generators on the other side consists of low
frequency modes ranging from 0.1Hz to
0.8Hz.Sub-optimal power flow and ineffective
operation of grid are caused by undesirable low
frequency oscillations. Therefore it is important to
stabilize these low frequency oscillations.
The dynamic stability of power systems can be
increased by the help of power system stabilizer
which damps out the low frequency oscillations.
Due to non-linearity of power systems, exact
mathematical model of system is difficult to obtain.
Optimum damping to the system oscillations under
wide variety in system conditions and parameters
can be provided by fuzzy logic based PSS ,adaptive
self tuning artificial neural network. More effective
optimization technique should be utilized to take
full advantage in simplifying the problems and its
implementations [1-5].
This paper presents the effective and fast
damping of inter area power oscillation and
improved dynamic stability of interconnected
power systems by designing of an ANFIS controller
for damping low frequency power oscillations in
two area four machine system. disturbances has
received much attention.
A. Four Machines Two Area Test System
In MATLAB 2012(b) test system is available
consisting of two (fully) symmetrical areas which
are linked together by two tie line 230KV lines of
ABSTRACT
62 International Journal for Modern Trends in Science and Technology
Adaptive Neuro Fuzzy Controller Based Power System Stabilizer for Damping of Power Oscillation
Control in Two Area Four Machine Power System
220Km length shown in figure 1. This test system
was designed to study the low frequency
electrochemical oscillations in large power
systems.
Each area of test system consists of two identical
round rotor generators rated 20KV/900MVA. The
parameters of synchronous machines are same
except for the inertia in area 1 is H=6.5s and inertia
for area 2 is H=6.175s. Thermal plants having an
identical speed regulator which has gain of 100
Fig. 1 Two Area Four-Machine power system for Stability
Analysis
Simulation model used for study of the PID-PSS
and proposed ANFIS controller based power system
stabilizer (Hybrid-PSS) for Inter area power
oscillation stability is shown in fig.2.
Also Fig.3. is internal structure of area-1 and
fig.4. Shows the internal configuration of regulator
and turbine which consists of PID power system
stabilizer and ANFIS power system stabilizer.
Fig. 2 simulation model implemented with PID-PSS and
proposed ANFIS-PSS for Inter area power oscillation
stability Analysis.
Fig.3 Area -1 (internal configuration)(subsystem)
Fig.4 Internal configuration of turbine and regulator with
PID-PSSand proposed Hybrid-PSS.
II. PROPOSED SYSTEM
A. Proposed ANFIS Controller for Inter area Power
Oscillator Damping
During the development of proposed ANFIS
controller two input variables have been employed
to provide robust performance against power
oscillations. Variables, error (e) which is the rotor
speed deviation (in pu) has been used as first input
variable, while on the same time the rate of change
of error signal (𝑒) has been taken as the second
input variable for the designing of proposed
controller.
Following steps have been employed for
developing proposed ANFIS controller:
Step-1. Obtain the input and outputs of
conventional PID controller.
63 International Journal for Modern Trends in Science and Technology
Volume: 2 | Issue: 05 | May 2016 | ISSN: 2455-3778IJMTST
To model required ANFIS controller we need to
first analyze the deficiency of PI controller during
generation of control signal terminal voltage Vf in
response to the variation in rotor speed deviation.
To analyze the controlled terminal voltage Vf values
generated by PID controller, Fig. 5 shows the input
plot of PID and fig .6. shows the out put plot of PID
and for three phase to ground fault .
Fig. 5. PID Controller Input.
Fig. 6. PID Controller Output.
From the output response of PID controller
shown in fig. 6, it is clearly observable that, there
are a huge amount of fluctuations in controlled
terminal voltage values generated by PID controller
in response to the variation in rotor speed
deviation.
Step-2.Make corrections on output of
conventional PID controller, which will provide
desired improved power quality (i.e. higher
damping in power oscillation).
Step-3. Train the ANFIS for obtained same
inputs as used for PID controller and corrected
output data.
After designing of the proposed ANFIS controller
using aforesaid steps; the membership functions
designed for the two inputs error (e) and change
rate of error (𝑒)are shown in Fig.7 and Fig.8,
Fig. 7. Membership functions of first input error (e)
Fig. 8. Membership functions of second input change in
error (edot)
III. SIMULATION RESULTS
The performance of the PID-PSS and proposed
ANFIS-PSS was evaluated by applying three phase
fault at middle of one tie line at 1 sec which causes
large disturbance and is cleared after 0.083 sec by
opening the breakers. The PID power system
stabilizer parameters is shown in table 1. Each
generator parameters are based on data in Table 2.
Table 1: Parameter of PID controller
Parameter Kp Ki Kd
G1 30 10 0.001
G2 10.50 0.67 0.45
G3 10.50 0.67 0.45
G4 10.50 0.67 0.45
To investigate the Inter area power oscillation
damping performance of PID-PSS and proposed
ANFIS-PSS with two-area four-machine test
system, the three phases to ground fault was
considered .A three-phase fault of 0.083 sec
0 5 10 15
-1.5
-1
-0.5
0
0.5
1
1.5
2
x 10
-3
Time in sec
RotorSpeedDeviation
Plot of PID Controller Input
0 5 10 15
-15
-10
-5
0
5
x 10
-3 Plot of Output of PID Controller
Time in Sec
TerminalVoltage
-2 -1 0 1 2 3 4
x 10
-3
0
0.2
0.4
0.6
0.8
1
error(e)
Degreeofmembership
in1mf1 in1mf2in1mf3in1mf4 in1mf5in1mf6
-0.01 -0.005 0 0.005 0.01 0.015 0.02 0.025
0
0.2
0.4
0.6
0.8
1
edot
Degreeofmembership
in2mf1in2mf2 in2mf3 in2mf4 in2mf5 in2mf6
64 International Journal for Modern Trends in Science and Technology
Adaptive Neuro Fuzzy Controller Based Power System Stabilizer for Damping of Power Oscillation
Control in Two Area Four Machine Power System
duration is simulated at line-1. Fig. 9 shows the
plot of active power transfer response of system
under without PSS condition. Fig. 10 presents the
result of the examined active power transfer
response under PID-PSS. While fig. 11 shows the
response of active power transfer response with
proposed ANFIS controller based power system
stabilizer.
Table 2: Parameters of the generator
Parameter Generator
Xd 1.8
Xd’ 0.3
Xd’’ 0.25
Xq 1.7
Xq’ 0.55
Xq’’ 0.25
Xt 0.2
Tdo 8
Tdo’ 0.03
Tq 0.4
Tq’ 0.05
Fig. 9. Active Power which is transferred under three Phase
fault condition without PSS.
Fig. 10.PID power system stabilizer power transferred under
3 phase fault condition
Fig. 11.ANFIS power system stabilizer Active Power
transferred underthree Phase fault condition
From the above plots, the power oscillation
damping performance obtained for three phase
fault condition without PSS, with PID-PSS and
proposed ANFIS based PSS, it is clearly observable
that the proposed PSS is highly efficient in
providing higher damping in the power oscillation
as compared to the others. Furthermore the
proposed controller requires only 5 sec to settle
down the power transfer, which is very less as
compared to the conventional PID controllers.
IV. CONCLUSION
This work forwarded a vigorous way to achieve
fast and efficient damping of inter area power
oscillations. With the development of the proposed
ANFIS controller based PSS, an improved dynamic
stability of interconnected power systems has been
achieved by higher damping of active power
oscillation in two area four machine power system.
The basic aim was to use advantage of the adaptive
neuro fuzzy inference based structure.
After the successful implementation of the
proposed ANFIS controller based power system
stabilizer (ANFIS-PSS), a complete testing process
have been also presented by generating three
phase to ground fault on the mid of the
transmission line. The obtained results shows that
the inter area power oscillation damping capability
of proposed ANFIS controller based power system
stabilizer (ANFIS-PSS) is much higher than the
conventional PID-PSS.
In addition to this the results also indicates that,
the proposed controller based power system
stabilizer takes only 5 sec to completely damp the
Inter area power oscillations, whereas PID-PSS
takes even more than 15 sec to control the power
oscillations.
REFERENCES
[1] PrabhaKundur, Power System Stability and Control,
McGraw-Hill, Inc, 1994.
[2] Junbo Zhang; Chung, C.Y.; Shuqing Zhang; Yingduo
Han, "Practical Wide Area Damping Controller
Design Based on Ambient Signal Analysis," Power
Systems, IEEE Transactions on , vol.28, no.2,
pp.1687,1696, May 2013.
[3] Hussein, T.; Shamekh, A., "Direct Adaptive Fuzzy
Power System Stabilizer for a Multi-machine
System," Computer Modeling and Simulation
(UKSim), 2013 UKSim 15th International
Conference on , vol., no., pp.33,38, 10-12 April
2013.
[4] Qudaih, Y.S.; Mitani, Yasunori; Mohamed, T.H.,
"Wide-Area Power System Oscillation Damping
Using Robust Control Technique," Power and Energy
0 5 10 15
150
200
250
300
350
400
450
500
550
600
Active Power From Bus B1 to B2
Time in sec
ActivePowerinMW
0 5 10 15
200
250
300
350
400
450
500
Active Power From Bus B1 to B2
ActivePowerinMW
Time in sec
0 5 10 15
200
250
300
350
400
413
450
500
Time in sec
ActivePowerinMW
Active Power From Bus B1 to B2
65 International Journal for Modern Trends in Science and Technology
Volume: 2 | Issue: 05 | May 2016 | ISSN: 2455-3778IJMTST
Engineering Conference (APPEEC), 2012
Asia-Pacific , vol., no., pp.1,4, 27-29 March 2012.
[5] Babaei, E.; Golestaneh, F.; Shafiei, M.; Galvani, S.,
"Design an optimized power system stabilizer using
NSGA-II based on fuzzy logic principle," Electrical
and Computer Engineering (CCECE), 2011 24th
Canadian Conference on, vol., no., pp.000683,
000686, 8-11 May 2011.
[6] Alsafih, H. A.; Dunn, R. W., "Performance of
Wide-Area based Fuzzy Logic Power System
Stabilizer," Universities' Power Engineering
Conference (UPEC), Proceedings of 2011 46th
International, vol., no., pp.1, 6, 5-8 Sept. 2011.
[7] Daryabeigi, E.; Moazzami, M.; Khodabakhshian, A.;
Mazidi, M.H., "A new power system stabilizer design
by using Smart Bacteria Foraging
Algorithm," Electrical and Computer Engineering
(CCECE), 2011 24th Canadian Conference on, vol.,
no., pp.000713, 000716, 8-11 May 2011.
[8] Babaei, E.; Galvani, S.; AhmadiJirdehi, M., "Design
of robust power system stabilizer based on
PSO," Industrial Electronics & Applications, 2009.
ISIEA 2009. IEEE Symposium on, vol.1, no., pp.325,
330, 4-6 Oct. 2009.
[9] Hadidi, R.; Jeyasurya, B., "Reinforcement learning
approach for controlling power system
stabilizers," Electrical and Computer Engineering,
Canadian Journal of, vol.34, no.3, pp.99, 103,
summer 2009.
[10]Huaren Wu; Qi Wang; Xiaohui Li, "PMU-Based Wide
Area Damping Control of Power Systems," Power
System Technology and IEEE Power India
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Oct. 2008.
[11]Athanasius, G.X.; Pota, H.R.; Subramanyam, P.V.B.;
Ugrinovskii, V., "Robust power system stabilizer
design using minimax control approach: Validation
using Real-time Digital Simulation," Decision and
Control, 2007 46th IEEE Conference on, vol., no.,
pp.2427, 2432, 12-14 Dec. 2007.
[12]Hunjan, M.; Venayagamoorthy, G.K., "Adaptive
Power System Stabilizers Using Artificial Immune
System," Artificial Life, 2007. ALIFE '07. IEEE
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2007.
[13]Dobrescu, M.; Kamwa, I., "A new fuzzy logic power
system stabilizer performances," Power Systems
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[14]V. Vittal, “Consequence and Impact of Electric Utility
Industry Restructuring onTransient Stability and
Small-Signal Stability Analysis”, Proceedings of the
IEEE,Vol. 88, No. 2, Feb. 2000.

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Adaptive Neuro Fuzzy Controller Based Power System Stabilizer for Damping of Power Oscillation Control in Two Area Four Machine Power System

  • 1. 61 International Journal for Modern Trends in Science and Technology Volume: 2 | Issue: 05 | May 2016 | ISSN: 2455-3778IJMTST Adaptive Neuro Fuzzy Controller Based Power System Stabilizer for Damping of Power Oscillation Control in Two Area Four Machine Power System Shubi Sharda 1 | Mr. Geoffrey Eappen 2 1 M.Tech Scholar, Department of ECE, MATS University Raipur, Chhattisgarh, India 2Assistant Professor, Department of ECE, MATS University Raipur, Chhattisgarh, India Maximum power transfer and optimal power flow is desired which is affected by the inter area oscillation of low frequency .To avoid low frequency inter area power oscillations power system stabilizer is added to the automatic voltage regulators on the generators. Stabilizer provides the means to damp these low frequency power oscillations .Different types of stabilizers are available to damp power oscillations still a power system stabilizers can be developed to effectively damp low frequency power oscillations. Without increasing the system complexity these oscillations can be reduced with the help of developing power system stabilizer to damp the low frequency inter area power oscillations. Adaptive Neuro Fuzzy Interface system (ANFIS) is designed to achieve fast and effective power oscillation damping in two area four machine power system. This work is implemented with MATLAB simulink 2012(b). Also comparative analysis of low frequency power oscillation damping of ANFIS controller based stabilizer and conventional PID power system stabilizer is presented in this paper. Comparison of results show that low frequency inter area power oscillation damping of ANFIS controller based stabilizer is much higher than PID power system stabilizer. Also damping time provided by ANFIS controller based power system stabilizer is 75% less in comparison to PID power system stabilizer . KEYWORDS: Keyword 1, Keyword 2, Keyword 3, Keyword 4, Keyword 5PID Controller, Power System Stabilizer, Adaptive Neuro Fuzzy Interface System Controller Copyright © 2015 International Journal for Modern Trends in Science and Technology All rights reserved. I. INTRODUCTION System events when coupled with a poorly damped electric power system causes Inter area power oscillations. Large systems with group of generating lines which are connected by weak tie lines consists of oscillations . Group of generators on one side of tie lines oscillating against groups of generators on the other side consists of low frequency modes ranging from 0.1Hz to 0.8Hz.Sub-optimal power flow and ineffective operation of grid are caused by undesirable low frequency oscillations. Therefore it is important to stabilize these low frequency oscillations. The dynamic stability of power systems can be increased by the help of power system stabilizer which damps out the low frequency oscillations. Due to non-linearity of power systems, exact mathematical model of system is difficult to obtain. Optimum damping to the system oscillations under wide variety in system conditions and parameters can be provided by fuzzy logic based PSS ,adaptive self tuning artificial neural network. More effective optimization technique should be utilized to take full advantage in simplifying the problems and its implementations [1-5]. This paper presents the effective and fast damping of inter area power oscillation and improved dynamic stability of interconnected power systems by designing of an ANFIS controller for damping low frequency power oscillations in two area four machine system. disturbances has received much attention. A. Four Machines Two Area Test System In MATLAB 2012(b) test system is available consisting of two (fully) symmetrical areas which are linked together by two tie line 230KV lines of ABSTRACT
  • 2. 62 International Journal for Modern Trends in Science and Technology Adaptive Neuro Fuzzy Controller Based Power System Stabilizer for Damping of Power Oscillation Control in Two Area Four Machine Power System 220Km length shown in figure 1. This test system was designed to study the low frequency electrochemical oscillations in large power systems. Each area of test system consists of two identical round rotor generators rated 20KV/900MVA. The parameters of synchronous machines are same except for the inertia in area 1 is H=6.5s and inertia for area 2 is H=6.175s. Thermal plants having an identical speed regulator which has gain of 100 Fig. 1 Two Area Four-Machine power system for Stability Analysis Simulation model used for study of the PID-PSS and proposed ANFIS controller based power system stabilizer (Hybrid-PSS) for Inter area power oscillation stability is shown in fig.2. Also Fig.3. is internal structure of area-1 and fig.4. Shows the internal configuration of regulator and turbine which consists of PID power system stabilizer and ANFIS power system stabilizer. Fig. 2 simulation model implemented with PID-PSS and proposed ANFIS-PSS for Inter area power oscillation stability Analysis. Fig.3 Area -1 (internal configuration)(subsystem) Fig.4 Internal configuration of turbine and regulator with PID-PSSand proposed Hybrid-PSS. II. PROPOSED SYSTEM A. Proposed ANFIS Controller for Inter area Power Oscillator Damping During the development of proposed ANFIS controller two input variables have been employed to provide robust performance against power oscillations. Variables, error (e) which is the rotor speed deviation (in pu) has been used as first input variable, while on the same time the rate of change of error signal (𝑒) has been taken as the second input variable for the designing of proposed controller. Following steps have been employed for developing proposed ANFIS controller: Step-1. Obtain the input and outputs of conventional PID controller.
  • 3. 63 International Journal for Modern Trends in Science and Technology Volume: 2 | Issue: 05 | May 2016 | ISSN: 2455-3778IJMTST To model required ANFIS controller we need to first analyze the deficiency of PI controller during generation of control signal terminal voltage Vf in response to the variation in rotor speed deviation. To analyze the controlled terminal voltage Vf values generated by PID controller, Fig. 5 shows the input plot of PID and fig .6. shows the out put plot of PID and for three phase to ground fault . Fig. 5. PID Controller Input. Fig. 6. PID Controller Output. From the output response of PID controller shown in fig. 6, it is clearly observable that, there are a huge amount of fluctuations in controlled terminal voltage values generated by PID controller in response to the variation in rotor speed deviation. Step-2.Make corrections on output of conventional PID controller, which will provide desired improved power quality (i.e. higher damping in power oscillation). Step-3. Train the ANFIS for obtained same inputs as used for PID controller and corrected output data. After designing of the proposed ANFIS controller using aforesaid steps; the membership functions designed for the two inputs error (e) and change rate of error (𝑒)are shown in Fig.7 and Fig.8, Fig. 7. Membership functions of first input error (e) Fig. 8. Membership functions of second input change in error (edot) III. SIMULATION RESULTS The performance of the PID-PSS and proposed ANFIS-PSS was evaluated by applying three phase fault at middle of one tie line at 1 sec which causes large disturbance and is cleared after 0.083 sec by opening the breakers. The PID power system stabilizer parameters is shown in table 1. Each generator parameters are based on data in Table 2. Table 1: Parameter of PID controller Parameter Kp Ki Kd G1 30 10 0.001 G2 10.50 0.67 0.45 G3 10.50 0.67 0.45 G4 10.50 0.67 0.45 To investigate the Inter area power oscillation damping performance of PID-PSS and proposed ANFIS-PSS with two-area four-machine test system, the three phases to ground fault was considered .A three-phase fault of 0.083 sec 0 5 10 15 -1.5 -1 -0.5 0 0.5 1 1.5 2 x 10 -3 Time in sec RotorSpeedDeviation Plot of PID Controller Input 0 5 10 15 -15 -10 -5 0 5 x 10 -3 Plot of Output of PID Controller Time in Sec TerminalVoltage -2 -1 0 1 2 3 4 x 10 -3 0 0.2 0.4 0.6 0.8 1 error(e) Degreeofmembership in1mf1 in1mf2in1mf3in1mf4 in1mf5in1mf6 -0.01 -0.005 0 0.005 0.01 0.015 0.02 0.025 0 0.2 0.4 0.6 0.8 1 edot Degreeofmembership in2mf1in2mf2 in2mf3 in2mf4 in2mf5 in2mf6
  • 4. 64 International Journal for Modern Trends in Science and Technology Adaptive Neuro Fuzzy Controller Based Power System Stabilizer for Damping of Power Oscillation Control in Two Area Four Machine Power System duration is simulated at line-1. Fig. 9 shows the plot of active power transfer response of system under without PSS condition. Fig. 10 presents the result of the examined active power transfer response under PID-PSS. While fig. 11 shows the response of active power transfer response with proposed ANFIS controller based power system stabilizer. Table 2: Parameters of the generator Parameter Generator Xd 1.8 Xd’ 0.3 Xd’’ 0.25 Xq 1.7 Xq’ 0.55 Xq’’ 0.25 Xt 0.2 Tdo 8 Tdo’ 0.03 Tq 0.4 Tq’ 0.05 Fig. 9. Active Power which is transferred under three Phase fault condition without PSS. Fig. 10.PID power system stabilizer power transferred under 3 phase fault condition Fig. 11.ANFIS power system stabilizer Active Power transferred underthree Phase fault condition From the above plots, the power oscillation damping performance obtained for three phase fault condition without PSS, with PID-PSS and proposed ANFIS based PSS, it is clearly observable that the proposed PSS is highly efficient in providing higher damping in the power oscillation as compared to the others. Furthermore the proposed controller requires only 5 sec to settle down the power transfer, which is very less as compared to the conventional PID controllers. IV. CONCLUSION This work forwarded a vigorous way to achieve fast and efficient damping of inter area power oscillations. With the development of the proposed ANFIS controller based PSS, an improved dynamic stability of interconnected power systems has been achieved by higher damping of active power oscillation in two area four machine power system. The basic aim was to use advantage of the adaptive neuro fuzzy inference based structure. After the successful implementation of the proposed ANFIS controller based power system stabilizer (ANFIS-PSS), a complete testing process have been also presented by generating three phase to ground fault on the mid of the transmission line. The obtained results shows that the inter area power oscillation damping capability of proposed ANFIS controller based power system stabilizer (ANFIS-PSS) is much higher than the conventional PID-PSS. In addition to this the results also indicates that, the proposed controller based power system stabilizer takes only 5 sec to completely damp the Inter area power oscillations, whereas PID-PSS takes even more than 15 sec to control the power oscillations. REFERENCES [1] PrabhaKundur, Power System Stability and Control, McGraw-Hill, Inc, 1994. [2] Junbo Zhang; Chung, C.Y.; Shuqing Zhang; Yingduo Han, "Practical Wide Area Damping Controller Design Based on Ambient Signal Analysis," Power Systems, IEEE Transactions on , vol.28, no.2, pp.1687,1696, May 2013. [3] Hussein, T.; Shamekh, A., "Direct Adaptive Fuzzy Power System Stabilizer for a Multi-machine System," Computer Modeling and Simulation (UKSim), 2013 UKSim 15th International Conference on , vol., no., pp.33,38, 10-12 April 2013. [4] Qudaih, Y.S.; Mitani, Yasunori; Mohamed, T.H., "Wide-Area Power System Oscillation Damping Using Robust Control Technique," Power and Energy 0 5 10 15 150 200 250 300 350 400 450 500 550 600 Active Power From Bus B1 to B2 Time in sec ActivePowerinMW 0 5 10 15 200 250 300 350 400 450 500 Active Power From Bus B1 to B2 ActivePowerinMW Time in sec 0 5 10 15 200 250 300 350 400 413 450 500 Time in sec ActivePowerinMW Active Power From Bus B1 to B2
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