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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 11 | Nov 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 46
Comparative Study of Load Frequency Control using PID and Fuzzy- PID
Controller in Power System
Kavita Choudhary1, Dr. Sumer Singh2
1Student IEEE member and Assistant Professor, EE Dept., Bhartiya Instituteof EngineeringandTechnologyCollege,
Sikar, India
2Associate Professor, EE Dept., Bhartiya Institute of Engineering and Technology College, Sikar, India
------------------------------------------------------------------------***-------------------------------------------------------------------------
Abstract - In this paper, load frequency control is one of the efficient ways to solve various problems in power system.
The different configuration of models and control techniques are applied for load frequency control have been addressed
which are applicablefor generation system. An interconnected system for two areas is designed and simulated by using
fuzzy logic controller for improved performance parameter. Like:-setting time, overshoot value, and undershoot value and
maximum range over the conventional PID controller. The control methodology assures that the steady state error of
frequency and exchange of tie-line power of area maintain within prescribed limit. The working of the two area system
incorporating these controllers are simulated using MATLAB/Simulinkpackages.
Key Words: Fuzzy logic control, conventional PID controller, fuzzy PID controller, load frequency control, membership
function, inter-connected two-area system. Tie-line power deviation.
1.INTRODUCTION
Load frequency control is addressed as one of the most important services in electric power system design and it has been
used for several decades to meet two main objectives, viz., maintaining the system frequency and the tie line power
deviations within specified values.LFC is generallyconsidered as secondary level control and also a dominant operation in
the area of automatic generation control (AGC).
Power system operation considered so far was under conditions of steady load. However, both active and reactive power
demands are never steady and they continually change with the rising and falling trend.(maximum permissible change in
power frequency is ±0.5HZ).The flows of active power and reactive power in transmission network are fairly
independentof each other and are influenced by different control action. Hence, active power control is closely
related to frequency control and reactive power control is closely is related to voltage control in power system.
As constancy of frequency and voltage are important factor in determining the quality of power supply, the
control of active power and reactive power is vital to the satisfactory performance of power systems.
ACTIVE POWER AND FREQUENCY CONTROL
For satisfactory operation of a power system, the frequency should remain nearly constant. Relatively close control of
frequency ensures constancy of speed of induction and synchronous motors. The frequency of a system is dependent on
active power balance. As frequency is a common factor throughout the system, a change in active power demand at one
point is reflected throughout the system by a change in frequency. Because there are many generators supplying power
into the system, some means must be provided to allocate change in demand to the generators. In an interconnected
system with two or more independently controlled areas, in addition to control of frequency, the generation within each
area has to be controlled so as to maintain scheduled power interchange. The control of generation and frequency is
commonly referred to as load frequency control (LFC).combination of active power and frequency control (p-f) is generally
known as load frequency control.
In power system network consider of maintain frequency constant and regulation of tie-line power exchanger error. The
frequency depends on speed.
2. system description and models a.system models
1) thermal unit
A steam turbine converter the energy is stored in the form of high temperature and pressure steam into rotating energy,
the energy is again converter into electrical form of energy using the generator. Steam turbine may be of either reheat and
non reheat type. the block diagram of thermal unit with reheat system in the steam turbine. the block diagram consists of
turbine, rotating mass and load speed governor, appropriate for load frequency control.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 11 | Nov 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 47
Transfer function :-a) Non-Reheat turbine
b)Reheat Steam turbine
2) Hydro unit
A hydro turbine converter potential energy converter potential energy of the water into kinetic energy than this energy
converter into rotating energy, than it converter into electrical energy by generators. the governors of hydro units require
large transient droop compensation for stable speed control performance, therefore hydro turbine are modeled in such a
way that theyhave relativelylarge transient droop withlongresetting times.
Transfer function:-
Transient droop compensation:-
The control objectives to be fulfilled are as follows:-
Each control area as much as possible ought to provide its own load demand and transfer the power through tie line must
be done only in the case of the demand of that area being lower than the generation of the units in the specified area.
All control areas shouldrespondtothe change in load frequency control.
controller structure and objective
To control the frequency,PID controller and fuzzy PID controller and ANFIS controllers are provided in each area. The
fuzzy PID controller is show in fig.2.[24] The error inputs to the controllers are the respective area control error (ACE)
given by:
In the design of modern heuristic optimization technique based controller, the objective function if first defined based on
the desired specifications and constraints. Typical output specification in the time domain are peak overshooting, rise time
settling time, and steady state error. The commonly used integral based error criteria are as follows: Integral of squared
Error(ITSE) and integral of time multiply by Absolute Error (ITAE).ITAE integrates the absolute error multiplied by the
time over time. ITAE technique weights errors which exist after a long time much more heavily than those at the start of
the response. The time multiplication term penalizes the error more at the later stages than at the beginning and hence
effective reduces the settling time.ITAE tuning produces systems which settle much more quickly than ISE and IAE tuning
methods. Since the absolute error is included in the ITAE criterion, the maximum percentage of overshoot is also
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 11 | Nov 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 48
minimized.ITSE based controller provides larger controller output for a sudden change in set point which is not
advantageous from controller design point of view. It has been reported in literature that ITAE gives a better performance
compared to other integral based performance criteria [32],Therefore, ITAE is used as objective function in this paper to
optimize the scaling factors and proportional , integral and derivative gains of fuzzy PID controller.Expression for the ITAE
objective function is depicted in equation (3).
(i) Conventional PID controller
Proportional integral derivative controllers play a major role in industrial process control.because more than 90 percent of
process in different electrical industries are controlled by PID controllers these days.the PID controller are used for
minimizing the frequency deviations in the multi area power system.
(ii) Fuzzy PID based controller
Fig.2 Block diagram for Fuzzy logic controller Membership function for ACE
Membership function for ACE
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 11 | Nov 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 49
Membership function for dACE
Table 1. Fuzzy Logic Controller Rules For Fuzzy PID based Controller
ACE/ ACE NL NS ZZ PS PL
NL S S M M L
NS S M M L VL
ZZ M M L VL VL
PS M L VL VL VVL
PL L VL VL VVL VVL
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 11 | Nov 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 50
3.Result and Simulation Model
Fig:3- simulation model diagram for two area reheat power system
Result discussion
Fig4:- Deviation in frequency in area1
Comparative table
parameters System with PID
controller
System with Fuzzy-PID
controller
Undershoot(Hz) 0.082 0.027
Settling Time(sec) 15 10
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 11 | Nov 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 51
Fig.5: Frequency Deviation of area2
Comparative table
parameters System with PID
controller
System with Fuzzy-
PID controller
Undershoot(Hz) 0.082 0.027
Settling Time(sec) 15 10
4. Conclusion
Investigation of two area system has been done with PID and Fuzzy-PID logic controllers. Considering the disturbance as
1% the result for different cases are compared and it shows that fuzzy-PID controller gives improved dynamic response
than PID controller. With the aid of fuzzy-PID controller the transients in the frequency response reduced to a great extent.
5. REFERENCES
1) System and Control by stanislaw h. zak.
2) F.L. Lewisand V.L.Syrmos, Optimal control, Prentice Hall, Englewood Cliffs, New Jersey, 1995.
3) J.Kumar, Kah-Hoe Ng and G. Sheble, “AGC Simulator for price-based Operation Part 1: A model, “IEEE Trans. On
Power Systems, vol. 12, no. 2, May. 1997.
4) C. Edwards and S. Spurgeon, Sliding Mode Control: Theory and Applications. Taylor and Francis, 1998.
5) Q. Ha, “A fuzy sliding mode controller for power system load-frequency control,” in Second International
Conferenceon Knowledge-Based In- telligent Electronic Systems, 1998, pp. 149–154.
6) M. Yang and H. Lu, “Sliding mode load-frequencycontroller design for dynamic stability enhancement of large-scale
interconnected power systems,” in Proceedings of the IEEE International Symposium on Industrial Electronics,
Bled, Slovenia, 1999, pp. 1316–1321.
7) Optimization Toolbox User’s Guide, TheMathworks, INC., 2000.
8) V.Donde, A pai and I.A. Hiskens, “Simulation and Optimization in a LFC System after Deregulation, “IEEE Trans. On
Power Systems, vol. 16, no.3, pp. 481-489, Aug. 2001A. Karnik, “Performance of TCP congestion control with rate
feedback: TCP/ABR and rate adaptive TCP/IP,” M. Eng. thesis, Indian Institute of Science, Bangalore, India, Jan.
1999.
9) F. Okafor, “Variable structure unit vector control of electric power generation,” African Journal of Science and
Technology- Science and Engineering Series, vol. 1, no. 4, pp. 78–86, 2001.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 11 | Nov 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 52
10) D.Rerkpreedapong and A. Feliachi, “Decentralized Load Frequency Control for Load Following Services, “IEEE
Power Engineering Society Winter Meeting, vol. 2, no.1, pp 1252- 1257, Jan. 2002.
11)G. Monsees, “Discrete-time sliding mode control,” Ph.D. dissertation, Delft University of Technology,
Netherlands, 2002.
12) A.Khaki Sedigh, Modern Control Systems, University of Tehran Press, 2003.
13)F. Liu, Y.H.Song, J.Ma, S.Mei and Q Lu, “Optimal Load Frequency Control in restructured power Systems,”
Distribution, vol. 150, no. 1, pp. 87-95, Jan. 2003
14) B. Stojkovi´, “An original approach for load-frequency control – thec winning solution in the second UCTE
synchronous zone,” Electric Power Systems Research, vol. 69, no. 1, pp. 59–68, April 2004.
15) M. Alrifai, “Decentralized controllers for power system load frequency control,” ICGST International Journal on
AutomaticControl and System Engineering, vol. 5, no. 2,pp.1– 16, 2005
16) A. Demiroren and H.L. Zeynelgil, “GA application to optimization of AGC in tree-area power system after
deregulation,” Electrical Power and Energy Systems, vol.29, no.3, pp.230-240, March. 2007.

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IRJET- Comparative Study of Load Frequency Control using PID and Fuzzy- PID Controller in Power System

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 11 | Nov 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 46 Comparative Study of Load Frequency Control using PID and Fuzzy- PID Controller in Power System Kavita Choudhary1, Dr. Sumer Singh2 1Student IEEE member and Assistant Professor, EE Dept., Bhartiya Instituteof EngineeringandTechnologyCollege, Sikar, India 2Associate Professor, EE Dept., Bhartiya Institute of Engineering and Technology College, Sikar, India ------------------------------------------------------------------------***------------------------------------------------------------------------- Abstract - In this paper, load frequency control is one of the efficient ways to solve various problems in power system. The different configuration of models and control techniques are applied for load frequency control have been addressed which are applicablefor generation system. An interconnected system for two areas is designed and simulated by using fuzzy logic controller for improved performance parameter. Like:-setting time, overshoot value, and undershoot value and maximum range over the conventional PID controller. The control methodology assures that the steady state error of frequency and exchange of tie-line power of area maintain within prescribed limit. The working of the two area system incorporating these controllers are simulated using MATLAB/Simulinkpackages. Key Words: Fuzzy logic control, conventional PID controller, fuzzy PID controller, load frequency control, membership function, inter-connected two-area system. Tie-line power deviation. 1.INTRODUCTION Load frequency control is addressed as one of the most important services in electric power system design and it has been used for several decades to meet two main objectives, viz., maintaining the system frequency and the tie line power deviations within specified values.LFC is generallyconsidered as secondary level control and also a dominant operation in the area of automatic generation control (AGC). Power system operation considered so far was under conditions of steady load. However, both active and reactive power demands are never steady and they continually change with the rising and falling trend.(maximum permissible change in power frequency is ±0.5HZ).The flows of active power and reactive power in transmission network are fairly independentof each other and are influenced by different control action. Hence, active power control is closely related to frequency control and reactive power control is closely is related to voltage control in power system. As constancy of frequency and voltage are important factor in determining the quality of power supply, the control of active power and reactive power is vital to the satisfactory performance of power systems. ACTIVE POWER AND FREQUENCY CONTROL For satisfactory operation of a power system, the frequency should remain nearly constant. Relatively close control of frequency ensures constancy of speed of induction and synchronous motors. The frequency of a system is dependent on active power balance. As frequency is a common factor throughout the system, a change in active power demand at one point is reflected throughout the system by a change in frequency. Because there are many generators supplying power into the system, some means must be provided to allocate change in demand to the generators. In an interconnected system with two or more independently controlled areas, in addition to control of frequency, the generation within each area has to be controlled so as to maintain scheduled power interchange. The control of generation and frequency is commonly referred to as load frequency control (LFC).combination of active power and frequency control (p-f) is generally known as load frequency control. In power system network consider of maintain frequency constant and regulation of tie-line power exchanger error. The frequency depends on speed. 2. system description and models a.system models 1) thermal unit A steam turbine converter the energy is stored in the form of high temperature and pressure steam into rotating energy, the energy is again converter into electrical form of energy using the generator. Steam turbine may be of either reheat and non reheat type. the block diagram of thermal unit with reheat system in the steam turbine. the block diagram consists of turbine, rotating mass and load speed governor, appropriate for load frequency control.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 11 | Nov 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 47 Transfer function :-a) Non-Reheat turbine b)Reheat Steam turbine 2) Hydro unit A hydro turbine converter potential energy converter potential energy of the water into kinetic energy than this energy converter into rotating energy, than it converter into electrical energy by generators. the governors of hydro units require large transient droop compensation for stable speed control performance, therefore hydro turbine are modeled in such a way that theyhave relativelylarge transient droop withlongresetting times. Transfer function:- Transient droop compensation:- The control objectives to be fulfilled are as follows:- Each control area as much as possible ought to provide its own load demand and transfer the power through tie line must be done only in the case of the demand of that area being lower than the generation of the units in the specified area. All control areas shouldrespondtothe change in load frequency control. controller structure and objective To control the frequency,PID controller and fuzzy PID controller and ANFIS controllers are provided in each area. The fuzzy PID controller is show in fig.2.[24] The error inputs to the controllers are the respective area control error (ACE) given by: In the design of modern heuristic optimization technique based controller, the objective function if first defined based on the desired specifications and constraints. Typical output specification in the time domain are peak overshooting, rise time settling time, and steady state error. The commonly used integral based error criteria are as follows: Integral of squared Error(ITSE) and integral of time multiply by Absolute Error (ITAE).ITAE integrates the absolute error multiplied by the time over time. ITAE technique weights errors which exist after a long time much more heavily than those at the start of the response. The time multiplication term penalizes the error more at the later stages than at the beginning and hence effective reduces the settling time.ITAE tuning produces systems which settle much more quickly than ISE and IAE tuning methods. Since the absolute error is included in the ITAE criterion, the maximum percentage of overshoot is also
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 11 | Nov 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 48 minimized.ITSE based controller provides larger controller output for a sudden change in set point which is not advantageous from controller design point of view. It has been reported in literature that ITAE gives a better performance compared to other integral based performance criteria [32],Therefore, ITAE is used as objective function in this paper to optimize the scaling factors and proportional , integral and derivative gains of fuzzy PID controller.Expression for the ITAE objective function is depicted in equation (3). (i) Conventional PID controller Proportional integral derivative controllers play a major role in industrial process control.because more than 90 percent of process in different electrical industries are controlled by PID controllers these days.the PID controller are used for minimizing the frequency deviations in the multi area power system. (ii) Fuzzy PID based controller Fig.2 Block diagram for Fuzzy logic controller Membership function for ACE Membership function for ACE
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 11 | Nov 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 49 Membership function for dACE Table 1. Fuzzy Logic Controller Rules For Fuzzy PID based Controller ACE/ ACE NL NS ZZ PS PL NL S S M M L NS S M M L VL ZZ M M L VL VL PS M L VL VL VVL PL L VL VL VVL VVL
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 11 | Nov 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 50 3.Result and Simulation Model Fig:3- simulation model diagram for two area reheat power system Result discussion Fig4:- Deviation in frequency in area1 Comparative table parameters System with PID controller System with Fuzzy-PID controller Undershoot(Hz) 0.082 0.027 Settling Time(sec) 15 10
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 11 | Nov 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 51 Fig.5: Frequency Deviation of area2 Comparative table parameters System with PID controller System with Fuzzy- PID controller Undershoot(Hz) 0.082 0.027 Settling Time(sec) 15 10 4. Conclusion Investigation of two area system has been done with PID and Fuzzy-PID logic controllers. Considering the disturbance as 1% the result for different cases are compared and it shows that fuzzy-PID controller gives improved dynamic response than PID controller. With the aid of fuzzy-PID controller the transients in the frequency response reduced to a great extent. 5. REFERENCES 1) System and Control by stanislaw h. zak. 2) F.L. Lewisand V.L.Syrmos, Optimal control, Prentice Hall, Englewood Cliffs, New Jersey, 1995. 3) J.Kumar, Kah-Hoe Ng and G. Sheble, “AGC Simulator for price-based Operation Part 1: A model, “IEEE Trans. On Power Systems, vol. 12, no. 2, May. 1997. 4) C. Edwards and S. Spurgeon, Sliding Mode Control: Theory and Applications. Taylor and Francis, 1998. 5) Q. Ha, “A fuzy sliding mode controller for power system load-frequency control,” in Second International Conferenceon Knowledge-Based In- telligent Electronic Systems, 1998, pp. 149–154. 6) M. Yang and H. Lu, “Sliding mode load-frequencycontroller design for dynamic stability enhancement of large-scale interconnected power systems,” in Proceedings of the IEEE International Symposium on Industrial Electronics, Bled, Slovenia, 1999, pp. 1316–1321. 7) Optimization Toolbox User’s Guide, TheMathworks, INC., 2000. 8) V.Donde, A pai and I.A. Hiskens, “Simulation and Optimization in a LFC System after Deregulation, “IEEE Trans. On Power Systems, vol. 16, no.3, pp. 481-489, Aug. 2001A. Karnik, “Performance of TCP congestion control with rate feedback: TCP/ABR and rate adaptive TCP/IP,” M. Eng. thesis, Indian Institute of Science, Bangalore, India, Jan. 1999. 9) F. Okafor, “Variable structure unit vector control of electric power generation,” African Journal of Science and Technology- Science and Engineering Series, vol. 1, no. 4, pp. 78–86, 2001.
  • 7. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 11 | Nov 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 52 10) D.Rerkpreedapong and A. Feliachi, “Decentralized Load Frequency Control for Load Following Services, “IEEE Power Engineering Society Winter Meeting, vol. 2, no.1, pp 1252- 1257, Jan. 2002. 11)G. Monsees, “Discrete-time sliding mode control,” Ph.D. dissertation, Delft University of Technology, Netherlands, 2002. 12) A.Khaki Sedigh, Modern Control Systems, University of Tehran Press, 2003. 13)F. Liu, Y.H.Song, J.Ma, S.Mei and Q Lu, “Optimal Load Frequency Control in restructured power Systems,” Distribution, vol. 150, no. 1, pp. 87-95, Jan. 2003 14) B. Stojkovi´, “An original approach for load-frequency control – thec winning solution in the second UCTE synchronous zone,” Electric Power Systems Research, vol. 69, no. 1, pp. 59–68, April 2004. 15) M. Alrifai, “Decentralized controllers for power system load frequency control,” ICGST International Journal on AutomaticControl and System Engineering, vol. 5, no. 2,pp.1– 16, 2005 16) A. Demiroren and H.L. Zeynelgil, “GA application to optimization of AGC in tree-area power system after deregulation,” Electrical Power and Energy Systems, vol.29, no.3, pp.230-240, March. 2007.