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Innovative Systems Design and Engineering                                                     www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)


                  Implementation of Fuzzy Logic in TCR-FC
                                                    Vipin Jain
               Research Scholar, Department of Electrical Engg., Delhi Technological University
                                           Bawana Road, Delhi, India
                               Tel: 9761988929   E-mail: vipinjain71@rediffmail.com


                                              Prof. Narendra Kumar
                     Department of Electrical Engineering, Delhi Technological University
                                           Bawana Road, Delhi, India
                                           E-mail: dnk_1963@yahoo.com



Abstract
TCR-FC (Thyristor Controlled Rectifier with Fixed Capacitor) is a well known combination to improve
voltage stability. Supplementary signals such as variation in reactive power, variation in frequency is used
to enhance the dynamic response of the system. In this paper Fuzzy logic controller is used in place of
conventional controllers. Deviation in Reactive power is used as a supplementary signal. Results with
conventional controller & with Fuzzy Logic controller is shown in this paper. Results have been taken with
the help of MATLAB simulation & programming.

Keywords: FACTS, Reactive power deviation, Fuzzy logic Controller.


1. Introduction
Control by changing the network parameters is an effective method of improving transient stability.
Flexible ac transmission system (FACTS) controllers due to their rapid response are suitable for transient
stability control since they can bring about quick changes in the network parameters. Transient stability
control involves changing the control variables such that the system state enters the stability region after a
large disturbance. TCR-FC (Thyristor Controlled Rectifier with Fixed Capacitor) is a well known
combination to improve voltage stability. Supplementary signals are used to improve dynamics of power
system, i.e to reduce power oscillations etc. These supplementary signals may be deviation in Reactive
power, deviation in frequency, deviation in bus angle voltage.etc. Damping of power system oscillations
plays an important role not only in increasing the power transmission capability but also for stabilization of
power system conditions after critical faults. In this paper deviation in reactive power is used as
Supplementary signal.
2. Study System
The study system, shown in fig. 1 consists of one synchronous generator, two transformers T1 & T2, one
series capacitor and a TCR-FC in the middle of line. Modeling of above system is given in [1].

Block diagram of TCR-FC is shown in fig 2. This block diagram includes firing control system and
represented as a first order model having gain K and time constants T 1 and T2.


                                                                                 Fig.2

                       Fig.1
Innovative Systems Design and Engineering                                                        www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)



The controller send firing control signals to the thyristor switching unit to modify the equivalent
susceptance of the TCR. In fig.2 Vmeas is bus voltage at TCR –FC bus. Vsuppl is change in voltage due to
reactive power deviation at TCR –FC bus.

3. Inclusion of Fuzzy Controller
Mamdani type Fuzzy theory is used in this paper. The number of membership functions for each variable
determines the quality of control which can be achieved using fuzzy logic controllers. In the present paper,
five membership functions are defined for the input and output variables. We have one input and one
output. Therefore five rules were developed. The initial step in designing the Fuzzy controller is the
determination of the state variables which represent the performance of the system. The input signals to the
Fuzzy controller are to be chosen from these variables. The input values are normalized and converted into
fuzzy variables. The expected value for each variable is found by defuzzifying the fuzzy regions. The
Reactive power Deviation at the TCR is chosen as input to the Fuzzy controller and the output is the
stabilizing signal. This signal is fed as one of the inputs to system.




                                  Fig.3 (Membership function of ∆ Q & ∆ B)

The proposed controller uses following linguistic variables such as: Positive Big (PB),Positive Small (PS),
Zero (Z), Negative Small (NS), Negative Medium (NM) and Negative Big (NB)
4.Fault Simulation
In synchronous machine initial power is 2 pu. Suddenly it increased to 2.5 pu.
5.Results
(a) Without any supplementary controller - Voltage stability - fig 4, Rotor stability - fig 5.
(b) With Conventional controller-Voltage stability -fig 6, Rotor stability - fig 7.
(c) With Fuzzy logic Controller Voltage stability fig- 8, Rotor stability - fig 9.

References
[1] N.Kumar, S.T.Nagarjan, “A SVS control strategy for damping Torsional Oscillation due to SSR in a
series compensated system” Institution of Engineers (india), Vol. 91. March 2011

[2] Anderson,P.M,Agarwal,B.L.,Van         Ness,J.E”Subsynchronous Resonance in Power System’, IEEE
Press.

[3] P.Kundur, Power System Stability and       Control,    Mc Graw Hill, 1994.

[4] Y. Wang, R.R. Mohler “Variable structure facts controller for power system transient stability”
Transactions on Power Systems, Vol. 7, No. 1, February 1992

[5] W.Sae-Kok,A.Yokoyama,S.C.Verma “ Excitation Control System Design of Rotary Type Frequency
Converter for Performance Improvement of Power System Dynamics” IEEE Trans. on energy conversion,
vol. 21, no. 1, March 2006

[6] M. Noroozian, L. Angquist, M. Ghandhari, G. Anderson“ Improving power system dynamics by
series-connected facts devices” IEEE Transactions on Power Delivery, Vol. 12, No. 4, October 1997.

[7] N.Karpagam, D.Devaraj “Application of GA for SVC –FACTS Controller for Power System Transient
Stability Improvement” International Journal of Electrical Power and Energy Systems Engineering 2:2
Innovative Systems Design and Engineering                                                 www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)

2009
[8] Harbans Nakra, R. L.ewh Vaughan, Charles Gagnon-“ Real-Time Simulator for Power System
Dynamics Studies” IEEE Transactions on Power Systems, Vol. 10, No. 2, May 1995

[9] D. J. Trudnowski, M. K. Donnelly, J. F. Hauer –“Estimating Damping Effectiveness of BPA's Thyristor
Controlled Series Capacitor by Applying Time and Frequency Domain Methods to Measured Response”
IEEE Transactions on Power Systems, Vol. 11. No. 2, May 1996

[10] M. L. Crow , J. G. Chen“The multirate simulation of facts devices in power system dynamics”
IEEE Transactions on Power Systems, Vol. 11, No. 1, February 1996

[11] Varma, R. K.; Auddy, S.; Semsedini, Y, “Mitigation of Subsynchronous Resonance in a
Series-Compensated Wind Farm Using FACTS Controllers” IEEE Transaction on Power Delivery
Page(s): 1645-1654 Vol.3,2008

[12] S.K. Gupta, Narendra Kumar, “Controlled Series Compensation in Coordination with Double Order
SVS Auxiliary Controller and Induction Machine for repressing the Torsional Oscillations in Power
system”. Electric Power System Research 62, 93-103.




                             TCR bus voltage Without any supplementary controller
                 0.98



                 0.97



                 0.96



                 0.95
       Voltage




                 0.94



                 0.93



                 0.92



                 0.91



                  0.9
                        0   10            20              30           40            50             60
                                                  time in seconds


                                               Figure 4
Innovative Systems Design and Engineering                                                          www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)

                                      Generator rotor angle Without any supplementary Controller

                            50




                            45
              Rotor angle




                            40




                            35




                            30
                                  0     5             10               15         20          25             30
                                                                time in seconds


                                                           Figure 5




                                        TCR bus voltage With Conventional First order controller
                     0.98


                     0.97


                     0.96


                     0.95
        Voltage




                     0.94


                     0.93


                     0.92


                     0.91


                            0.9
                                  0     10            20               30         40          50             60
                                                                time in seconds


                                                           Figure 6
Innovative Systems Design and Engineering                                                       www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)

                                  Generator rotor angle With conventional First orderController

                        50




                        45
          Rotor angle




                        40




                        35




                        30
                              0     5            10              15          20            25             30
                                                         time in seconds

                                                      Figure 7



                                          TCR bus voltage With Fuzzy logic Controller
                   0.98


                   0.97


                   0.96


                   0.95
        Voltage




                   0.94


                   0.93


                   0.92


                   0.91


                        0.9
                              0     5            10               15         20            25             30
                                                           time in seconds




                                                      Figure 8
Innovative Systems Design and Engineering                                                   www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)

                                   Generator rotor angle With Fuzzy logic Controller

                      50




                      45
        Rotor angle



                      40




                      35




                      30
                           0   5            10              15          20             25             30
                                                    time in seconds

                                                 Figure 9

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Isde 7

  • 1. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Implementation of Fuzzy Logic in TCR-FC Vipin Jain Research Scholar, Department of Electrical Engg., Delhi Technological University Bawana Road, Delhi, India Tel: 9761988929 E-mail: vipinjain71@rediffmail.com Prof. Narendra Kumar Department of Electrical Engineering, Delhi Technological University Bawana Road, Delhi, India E-mail: dnk_1963@yahoo.com Abstract TCR-FC (Thyristor Controlled Rectifier with Fixed Capacitor) is a well known combination to improve voltage stability. Supplementary signals such as variation in reactive power, variation in frequency is used to enhance the dynamic response of the system. In this paper Fuzzy logic controller is used in place of conventional controllers. Deviation in Reactive power is used as a supplementary signal. Results with conventional controller & with Fuzzy Logic controller is shown in this paper. Results have been taken with the help of MATLAB simulation & programming. Keywords: FACTS, Reactive power deviation, Fuzzy logic Controller. 1. Introduction Control by changing the network parameters is an effective method of improving transient stability. Flexible ac transmission system (FACTS) controllers due to their rapid response are suitable for transient stability control since they can bring about quick changes in the network parameters. Transient stability control involves changing the control variables such that the system state enters the stability region after a large disturbance. TCR-FC (Thyristor Controlled Rectifier with Fixed Capacitor) is a well known combination to improve voltage stability. Supplementary signals are used to improve dynamics of power system, i.e to reduce power oscillations etc. These supplementary signals may be deviation in Reactive power, deviation in frequency, deviation in bus angle voltage.etc. Damping of power system oscillations plays an important role not only in increasing the power transmission capability but also for stabilization of power system conditions after critical faults. In this paper deviation in reactive power is used as Supplementary signal. 2. Study System The study system, shown in fig. 1 consists of one synchronous generator, two transformers T1 & T2, one series capacitor and a TCR-FC in the middle of line. Modeling of above system is given in [1]. Block diagram of TCR-FC is shown in fig 2. This block diagram includes firing control system and represented as a first order model having gain K and time constants T 1 and T2. Fig.2 Fig.1
  • 2. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) The controller send firing control signals to the thyristor switching unit to modify the equivalent susceptance of the TCR. In fig.2 Vmeas is bus voltage at TCR –FC bus. Vsuppl is change in voltage due to reactive power deviation at TCR –FC bus. 3. Inclusion of Fuzzy Controller Mamdani type Fuzzy theory is used in this paper. The number of membership functions for each variable determines the quality of control which can be achieved using fuzzy logic controllers. In the present paper, five membership functions are defined for the input and output variables. We have one input and one output. Therefore five rules were developed. The initial step in designing the Fuzzy controller is the determination of the state variables which represent the performance of the system. The input signals to the Fuzzy controller are to be chosen from these variables. The input values are normalized and converted into fuzzy variables. The expected value for each variable is found by defuzzifying the fuzzy regions. The Reactive power Deviation at the TCR is chosen as input to the Fuzzy controller and the output is the stabilizing signal. This signal is fed as one of the inputs to system. Fig.3 (Membership function of ∆ Q & ∆ B) The proposed controller uses following linguistic variables such as: Positive Big (PB),Positive Small (PS), Zero (Z), Negative Small (NS), Negative Medium (NM) and Negative Big (NB) 4.Fault Simulation In synchronous machine initial power is 2 pu. Suddenly it increased to 2.5 pu. 5.Results (a) Without any supplementary controller - Voltage stability - fig 4, Rotor stability - fig 5. (b) With Conventional controller-Voltage stability -fig 6, Rotor stability - fig 7. (c) With Fuzzy logic Controller Voltage stability fig- 8, Rotor stability - fig 9. References [1] N.Kumar, S.T.Nagarjan, “A SVS control strategy for damping Torsional Oscillation due to SSR in a series compensated system” Institution of Engineers (india), Vol. 91. March 2011 [2] Anderson,P.M,Agarwal,B.L.,Van Ness,J.E”Subsynchronous Resonance in Power System’, IEEE Press. [3] P.Kundur, Power System Stability and Control, Mc Graw Hill, 1994. [4] Y. Wang, R.R. Mohler “Variable structure facts controller for power system transient stability” Transactions on Power Systems, Vol. 7, No. 1, February 1992 [5] W.Sae-Kok,A.Yokoyama,S.C.Verma “ Excitation Control System Design of Rotary Type Frequency Converter for Performance Improvement of Power System Dynamics” IEEE Trans. on energy conversion, vol. 21, no. 1, March 2006 [6] M. Noroozian, L. Angquist, M. Ghandhari, G. Anderson“ Improving power system dynamics by series-connected facts devices” IEEE Transactions on Power Delivery, Vol. 12, No. 4, October 1997. [7] N.Karpagam, D.Devaraj “Application of GA for SVC –FACTS Controller for Power System Transient Stability Improvement” International Journal of Electrical Power and Energy Systems Engineering 2:2
  • 3. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) 2009 [8] Harbans Nakra, R. L.ewh Vaughan, Charles Gagnon-“ Real-Time Simulator for Power System Dynamics Studies” IEEE Transactions on Power Systems, Vol. 10, No. 2, May 1995 [9] D. J. Trudnowski, M. K. Donnelly, J. F. Hauer –“Estimating Damping Effectiveness of BPA's Thyristor Controlled Series Capacitor by Applying Time and Frequency Domain Methods to Measured Response” IEEE Transactions on Power Systems, Vol. 11. No. 2, May 1996 [10] M. L. Crow , J. G. Chen“The multirate simulation of facts devices in power system dynamics” IEEE Transactions on Power Systems, Vol. 11, No. 1, February 1996 [11] Varma, R. K.; Auddy, S.; Semsedini, Y, “Mitigation of Subsynchronous Resonance in a Series-Compensated Wind Farm Using FACTS Controllers” IEEE Transaction on Power Delivery Page(s): 1645-1654 Vol.3,2008 [12] S.K. Gupta, Narendra Kumar, “Controlled Series Compensation in Coordination with Double Order SVS Auxiliary Controller and Induction Machine for repressing the Torsional Oscillations in Power system”. Electric Power System Research 62, 93-103. TCR bus voltage Without any supplementary controller 0.98 0.97 0.96 0.95 Voltage 0.94 0.93 0.92 0.91 0.9 0 10 20 30 40 50 60 time in seconds Figure 4
  • 4. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Generator rotor angle Without any supplementary Controller 50 45 Rotor angle 40 35 30 0 5 10 15 20 25 30 time in seconds Figure 5 TCR bus voltage With Conventional First order controller 0.98 0.97 0.96 0.95 Voltage 0.94 0.93 0.92 0.91 0.9 0 10 20 30 40 50 60 time in seconds Figure 6
  • 5. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Generator rotor angle With conventional First orderController 50 45 Rotor angle 40 35 30 0 5 10 15 20 25 30 time in seconds Figure 7 TCR bus voltage With Fuzzy logic Controller 0.98 0.97 0.96 0.95 Voltage 0.94 0.93 0.92 0.91 0.9 0 5 10 15 20 25 30 time in seconds Figure 8
  • 6. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Generator rotor angle With Fuzzy logic Controller 50 45 Rotor angle 40 35 30 0 5 10 15 20 25 30 time in seconds Figure 9