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International Journal of Modern Engineering Research (IJMER)
                www.ijmer.com          Vol.3, Issue.1, Jan-Feb. 2013 pp-212-217      ISSN: 2249-6645


     Implementing Re-Active Power Compensation Technique in Long
       Transmission System (750 Km) By Using Shunt Facts Control
                   Device with Mat Lab Simlink Tool
                               Dabberu.Venkateswara Rao, 1 Bodi.Srikanth2
                       1, 2(Department of Electrical & Electronics Engineering, KL University, India

ABSTRACT: This paper attempts to implementation and             controller is designed to achieve the firing angles for SVC
simulation of the Fuzzy logic control of firing angle for SVC   such that it maintains a flat voltage profile. All the results
in order to achieve better, smooth and adaptive control of      thus obtained, were verified and were utilized in framing of
reactive power by using facts technology, Flexible AC           fuzzy rule base in order to achieve better reactive power
transmission system (FACTS) is a technology, The FACTS          compensation for the long Transmission line. Based on
technology is a promising technology to achieve complete        observed results for load voltage variations for different
deregulation of Power System i.e. Generation,                   values of load resistance, inductance and capacitance a
Transmission and Distribution as complete individual            fuzzy controller is designed which controls the firing angle
units,which is based on power electronic devices, used to       of SVC in order to automatically maintain the receiving end
enhance the existing transmission capabilities in order to      voltage constant.
make the transmission system flexible and independent
operation. The loading capability of transmission system               II. OPERATING PRINCIPLES And
can also be enhanced nearer to the thermal limits without               implementing Of Static var compensator
affecting the stability. Complete close-loop smooth control              An elementary single phase thyristor controlled
of reactive power can be achieved using shunt connected         reactor [1] (TCR) shown in Fig.1 consists of a fixed
FACTS devices. Static VAR Compensator (SVC) is one of           (usually air core) reactor of inductance L and a two anti
the shunt connected FACTS device, which can be utilized         parallel SCRs. The device brought into conduction by
for the purpose of reactive power compensation. Intelligent     simultaneous application of gate pulses to SCRs of the
FACTS devices make them adaptable and hence it is               same polarity. In addition, it will automatically block
emerging in the present state of art..Implementing re-active    immediately after the ac current crosses zero, unless the
power compensation technique is carried out for long            gate signal is reapplied. The current in the reactor can be
Transmission line and the compensation is placed at the         controlled from maximum (SCR closed) to zero (SCR
receiving end (load end).                                       open) by the method of firing delay angle control. That is,
                                                                the SCR conduction delayed with respect to the peak of the
Keyword: FACTS, Tcr, and Tsr, Fuzzy Logic                       applied voltage in each half-cycle, and thus the duration of
                                                                the current conduction interval is controlled.
                 I. INTRODUCTION                                         This method of current control is illustrated
          He reactive power generation and absorption in        separately for the positive and negative current cycles in
power T system is essential since the reactive power is very    Fig.2 where the applied voltage V and the reactor current
precious in keeping the voltage of power system stable. The     iL(α) at zero delay angle (switch fully closed) and at an
main elements for generation and absorption of reactive         arbitrary α delay angle are shown. When α =0, the SCR
power are transmission line, transformers and alternators.      closes at the crest of the applied voltage and evidently the
The transmission line distributed parameters throughout the     resulting current in the reactor will be the same as that
line, on light loads or at no loads become predominant and      obtained in steady state with a permanently closed switch.
consequently the line supplies charging VAR (generates
reactive power). In order to maintain the terminal voltage at             III. Indentations and Equations
the load bus adequate, reactive reserves are needed. FACTS         When the gating of the SCR is delayed by an angle α (0 ≤
devices like SVC can supply or absorb the reactive power at     α ≤ /2) with respect to the crest of the voltage, the current
receiving end bus or at load end bus in transmission system,    in the reactor can be expressed [1] as follows
which helps in achieving better economy in power transfer.
          In this paper long Transmission line is simulated       V(t)=Vcosωt.                                            (1)
using 4π line segments by keeping the sending end voltage
constant. The receiving end voltage fluctuations were             iL=(1/L)α∫ωtV(t)dt = (V/ωL)(sin ωt –sin α)              (2)
observed for different loads. In order to maintain the
receiving end voltage constant, shunt inductor and capacitor       Since the SCR, by definition, opens as the current
is added for different loading conditions. SVC is simulated     reaches zero, is valid for the interval α ≤ ωt ≤ –α. For
by means of fixed capacitor and thyristor controlled reactor    subsequent negative half-cycle intervals, the sign of the
(FC-TCR) which is placed at the receiving end. The firing       terms in equation (1) becomes opposite.
angle control circuit is designed and the firing angles are        In the above equation (1) the term (V/ωL) sin α = 0 is
varied for various loading Conditions to make the receiving     offset which is shifted down for positive and up for
end voltage equal to sending end voltage. Fuzzy logic           negative current half-cycles obtained at α = 0, as illustrated
                                                                in Fig.2. Since the SCRs automatically turns off at the
                                                         www.ijmer.com                                             212 | Page
International Journal of Modern Engineering Research (IJMER)
                 www.ijmer.com          Vol.3, Issue.1, Jan-Feb. 2013 pp-212-217      ISSN: 2249-6645

instant of current zero crossing of SCR this process actually             Where V is the amplitude of the applied voltage, L
controls the conduction intervals (or angle) of the SCR.        is the inductance of the thyristor-controlled reactor and ω is
That is, the delay angle α defines the prevailing conduction    the angular frequency of the applied voltage. The variation
angle σ (σ = -2α). Thus, as the delay angle α increases, the   of the amplitude ILF (α), normalized to the maximum
corresponding increasing offset results in the reduction of     current ILFmax, (ILFmax= V/ωL), is shown plotted against
the conduction angle σ of the SCR, and the consequent           delay angle α shown in Fig.4.
reduction of the reactor current. At the maximum delay of α
=  /2, the offset also reaches its maximum of V/ωL, at
which both the conduction angle and the reactor current
becomes zero. The two parameters, delay angle α and
conduction angle σ are equivalent and therefore TCR can be
characterized by either of them; their use is simply a matter
of preference. For this reason, expression related to the
TCR can be found in the literature both in terms of α and σ
[1].




                                                                Fig.4. Amplitude variation of the fundamental TCR current
                                                                                 with the delay angle (α)

                                                                         It is clear from Fig.4 the TCR can control the
                                                                fundamental current continuously from zero (SCR open) to
                                                                a maximum (SCR closed) as if it was a variable reactive
         Fig. 1. Basic Thyristor Controlled Reactor             admittance. Thus, an effective reactance admittance, BL(α),
                                                                for the TCR can be defined. This admittance, as a function
                                                                of angle α is obtained as:

                                                                  BL(α)=1/ωL(1–(2/)α–(1/)sin(2α))                    (4)

                                                                          Evidently, the admittance BL(α) varies with α in
                                                                the same manner as the fundamental current ILF(α).The
                                                                meaning of equation (4) is that at each delay angle α an
                                                                effective admittance BL(α) can be defined which determines
                                                                the magnitude of the fundamental current, ILF(α), in the
                                                                TCR at a given applied voltage V. In practice, the maximal
                  Fig.2. firing delay angle                     magnitude of the applied voltage and that of the
                                                                corresponding current limited by the ratings of the power
                                                                components (reactor and SCRs) used. Thus, a practical
                                                                TCR can be operated anywhere in a defined V-I area, the
                                                                boundaries of which are determined by its maximum
                                                                attainable admittance, voltage and current ratings as
                                                                illustrated in the Fig.5a. The TCR limits are established by
                                                                design from actual operating requirements. If the TCR
                Fig. 3. Operating waveforms                     switching is restricted to a fixed delay angle, usually α = 0,
                                                                then it becomes a thyristor switched reactor (TSR). The
          It is evident that the magnitude of the current in    TSR provide a fixed inductive admittance and thus, when
the reactor varied continuously by delay angle control from     connected to the ac system, the reactive current in it will be
maximum (α=0) to zero (α=/2) shown in Fig.3, where the         proportion to the applied voltage as the V - I plot in the
reactor current iL(α) together with its fundamental             Fig.5b.
component iLF(α) are shown at various delay angles α [1].
However the adjustment of the current in reactor can take
place only once in each-half cycle, in the zero to /2
interval [1]. This restriction result in a delay of the
attainable current control. The worst-case delay, when
changing the current from maximum to zero (or vice versa),
is a half-cycle of the applied ac voltage. The amplitude ILF
(α) of the fundamental reactor current i LF(α) can be
expressed as a function of angle α [1].                           Fig.5. Operating V-I area of (a) For TCR and (b) For
                                                                                           TSR
ILF (α) = V/ωL (1 – (2/) α – (1/) sin (2α))   (3)               VLmax = voltage limit, ILmax = current limit
                                                         www.ijmer.com                                             213 | Page
International Journal of Modern Engineering Research (IJMER)
                 www.ijmer.com          Vol.3, Issue.1, Jan-Feb. 2013 pp-212-217      ISSN: 2249-6645

  BLmax = max admittance of TCR,
  BL = admittance of reactor

          A basic VAR generator arrangement using a fixed
capacitor with a thyristor-controlled reactor (FC-TCR)
shown in Fig.6 [1].The current in the reactor is varied by
the previously discussed method of firing delay angle
control. A filter network that has the necessary capacitive          Fig.8. V-I characteristics of the FC-TCR type VAR
impedance at the fundamental frequency to generate the                      Generator
reactive power required usually substitutes the fixed
capacitor in practice, fully or partially, but it provides low      In Fig.8 the voltage defines the V-I operating area of the
impedance at selected frequencies to shunt the dominant          FC-TCR VAR generator and current rating of the major
harmonics produced by the TCR.                                   power components. In the dynamic V-I Characteristics of
          The fixed capacitor thyristor-controlled reactor       SVC along with the Load lines showed in the Fig.9 the load
type VAR generator may be considered essentially to              characteristics assumed straight lines for Dynamic studies
consist of a variable reactor (controlled by a delay angle α)    as easily seen that the voltage improved with compensation
and a fixed capacitor. With an overall VAR demand versus         when compared without compensation.
VAR output characteristic as shown in Fig.7 in constant
capacitive VAR generator (Qc) of the fixed capacitor is
opposed by the variable VAR absorption (QL) of the
thyristor controlled reactor, to yield the total VAR output
(Q) required. At the maximum capacitive VAR output, the
thyristor-controlled reactor is off (α= 900). To decrease the
capacitive output, decreasing delay angle α. At zero VAR
output increases the current in the reactor, the capacitive
and inductive current becomes equal and thus the capacitive
and inductive VARs cancel out. With a further decrease of        Fig.9. Dynamic V-I Characteristics of SVC with Load lines
angle α, the inductive current becomes larger than the
capacitive current, resulting in a net inductive VAR output.     VCmax   = voltage limit of capacitor
At zero delay angle, the thyristor-controlled reactor            BC      = admittance of capacitor
conducts current over the full 180o interval, resulting in       VLmax   = voltage limit of TCR
maximum inductive VAR output that is equal to the                ICmax   = capacitive current limit
difference between the VARs generated by the capacitor           ILmax   = inductive current limit
and those absorbed by the fully conducting reactor.              BLmax   = max inductive admittance

                                                                               IV. FIGURES and Tables

                                                                 IV.I SVC WITH OUT FUZZY
                                                                 This bellow implementation block diagram gives clear
                                                                 explanation of svc without fuzzy logic, this experiment
                                                                 result is use to refer reactive power compensation
                                                                 technique, after that same test is conducted with fuzzy and
                                                                 take the readings of table III respectively.




         Fig.6. basic FC-TCR type static generator




   Fig.7. VAR demand versus VAR output characteristic
                                                                    Fig.10. svc for 750 kv transmission line without fuzzy

                                                          www.ijmer.com                                            214 | Page
International Journal of Modern Engineering Research (IJMER)
                  www.ijmer.com          Vol.3, Issue.1, Jan-Feb. 2013 pp-212-217      ISSN: 2249-6645

IV.2 FUZZY LOGIC CONTROLLER                                      distributed parameters were used in this study. The line
         Fuzzy logic is a new control approach with great        inductance 0.1mH /km, capacitance 0.01μf/km and the line
potential for real time applications [2] [3]. Fig.10 shows       resistance 0.001Ω were used. Each π section is of 187km,
the structure of the fuzzy logic controller (FIS-Fuzzy           187km, 188km and 188 km. Supply voltage is 230V - 50
inference system) in MATLAB Fuzzy logic toolbox.                 Hz having source internal resistance of 1 Ω connected to
[5][6].Load voltage and load current taken as input to fuzzy     node A. Static load is connected at receiving end B .The
system. For a closed loop control, error input can be            load resistance was varied to obtain the voltage variations at
selected as current, voltage or impedance, according to          the receiving end. A shunt branch consisting of inductor
control type. To get the linearity triangular membership         and capacitor is added to compensate the reactive power of
function is taken with 50% overlap. The output of fuzzy          transmission line. With the change of load and due to
controller taken as the control signal and the pulse             Ferranti effect, the variations in voltages are observed at
generator provides synchronous firing pulses to thyristors       receiving end B of transmission line. The practical values of
as shown in fig.12. The Fuzzy Logic is a rule based              shunt elements are varied for different loading conditions to
controller, where a set of rules represents a control decision   get both sending and receiving end voltages equal. As
mechanism to correct the effect of certain causes coming         shown in Table II.
from power system. In fuzzy logic, the five linguistic
variables expressed by fuzzy sets defined on their                          Table II compensated practical values
respective universes of discourse. Table-I shows the                              Of inductor and capacitor
suggested membership function rules of FC-TCR
controller. The rule of this table can be chosen based on                 S.N      Load     Compen       Compens
practical experience and simulation results observed from                 O        Resis    sating       ating
the behavior of the system around its stable equilibrium                           tance    Inductan     Capacitan
points.                                                                            Ω        ce           ce
                                                                                                         (μf)
                                                                          1.       500      0.8 H        1
                                                                          2.       400      0.9H         1
                                                                          3.       300      0.19H        2
                                                                          4.       200      0.18 H       5
                                                                          5        150      0.19H        5
                                                                          6        100      0.22H        8
                                                                          7        50       0.14         8.5
                                                                          8        40       0.14         9.0
                                                                          9        30       0.14         10
                                                                          10       20       0.14         12

                                                                  A. FIRING CIRCUIT DESIGN




         Fig.11. Structure of fuzzy logic controller

Table I. Membership function rules
                         Load voltage
                    NL     NM      P     PM       PB
             NL     PB     PB      NM    NM       NL
   Load
                                                                             Fig 12 firing pulse generating circuit
             NM     PB     PB      NM    P        NL
   current   P      P      PM      NM    NM       P
             PM     NM     P       NM    NM       PM             Table III TEST RESULT
             PB     NL     NM      NM    NL       NL                Load voltage before and after compensation The
                                                                 transmission line without any compensation was not
IV. 3 LONG TRANSMISSION LINE                                     satisfying the essential condition of maintaining the voltage
  An available simple two-bus artificial transmission (750       within the reasonable limits. The effect of increasing load
km) line model of 4π line segments with 750 km,                  was to reduce the voltage level at the load end. At light

                                                          www.ijmer.com                                               215 | Page
International Journal of Modern Engineering Research (IJMER)
                www.ijmer.com          Vol.3, Issue.1, Jan-Feb. 2013 pp-212-217      ISSN: 2249-6645

loads, the load voltage is greater than the sending end                400
voltage as the reactive power generated is greater than
                                                                       300
absorbed. At higher loads the load voltage drops, as the
reactive power absorbed is greater than generated, as shown            200


in Table III. Fig.13 and Fig.14 indicates unequal voltage              100

profiles. Fig.16 clearly shows the firing angle and inductor                   0

current control.
                                                                       -100


                                                                       -200


                                                                       -300


                                                                       -400
                                                                                   0                5000             10000                15000



                                                                               Fig.14. Uncompensated voltage for light load

                                                                       5

                                                                       4

                                                                       3

                                                                       2

                                                                       1

                                                                       0

                                                                      -1

                                                                      -2

                                                                      -3

                                                                      -4

                                                                      -5
                                                                           0                        5000               10000                      15000



                                                                       Fig.15. Inductor Current for firing angle 165 deg

                                                                      250




                                                                      200




                                                                      150




                                                                      100




                                                                       50




                                                                           0
                                                                               0       0.5     1     1.5   2   2.5     3       3.5   4      4.5
                                                                                                                                            4
                                                                                                                                         x 10

                                                                       Fig.16. Compensated VR =VS (RMS voltage) for
                                                                                R=200Ω
                                                                    400


                                                                    300


                                                                    200


Simulation Results                                                  100


                                                                      0


                                                                    -100


                                                                    -200


                                                                    -300
                                                                           0                        5000              10000                     15000



                                                                                   Fig17.    Compensated VR=VS (instantaneous
                                                                                             voltage) For R=200 Ω

                                                                                                   V. CONCLUSION
                                                                 This paper presents an “online Fuzzy control scheme for
      Fig.13. Uncompensated voltage for heavy load            SVC” and it can be concluded that the use of fuzzy
                                                              controlled SVC (FC-TCR) compensating device with the
                                                              firing angle control is continuous, effective and it is a
                                                        www.ijmer.com                                          216 | Page
International Journal of Modern Engineering Research (IJMER)
                 www.ijmer.com          Vol.3, Issue.1, Jan-Feb. 2013 pp-212-217      ISSN: 2249-6645

simplest way of controlling the reactive power of                 Chapters in Books:
transmission line. It is observed that SVC device was able        [3]   Timothy J Ross, Fuzzy Logic with Engineering
to compensate both over and under voltages. Compensating                Applications (McGraw-Hill, Inc, New York, 1997).
voltages are shown in Fig.17 and Fig.18. The use of fuzzy         Theses:
logic has facilitated the closed loop control of system, by       [4]   Bart Kosko, Neural Networks and Fuzzy Systems A
designing a set of rules, which decides the firing angle                Dynamical Systems Approach to Machine Intelligence
                                                                        Prentice-Hall of India New Delhi, June 1994.
given to SVC to attain the required voltage. With
                                                                  Proceedings Papers:
MATLAB simulations and actual testing it is observed that         [5]   Chuen Chien Lee “Fuzzy Logic in Control Systems: Fuzzy
SVC (FC-TCR) provides an effective reactive power                       Logic Controller”. Part I and Part II. IEEE R. IEEE
control irrespective of load variations.                                transactions on system, man, and cybernetics, vol.20
                                                                        March/April11990 Electrical Engineering Dept Pontifica
                 ACKNOWLEDGEMENTS                                       Universidad Catolica De CHILE
use of fuzzy controlled SVC (FC-TCR) compensating
device with the firing angle control is continuous, effective       AUTHORS BIOGRAPHY
and it is a simplest way of controlling the reactive power of
transmission line.

                       REFERENCES
Journal Papers:
[1]   S.M.Sadeghzadeh M. Ehsan Improvement of Transient
      Stability Limit in Power System Transmission Lines Using
      Fuzzy Control of FACTS Devices ,IEEE Transactions on
      Power System Vol.13 No.3 ,August 1998Books:
[2]   Understanding FACTS Concepts and Technology Of
      flexible AC Transmission Systems by (Narain. G. Hingorani
      IEEE Press USA 1980).




                                                           www.ijmer.com                                           217 | Page

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Bk31212217

  • 1. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.3, Issue.1, Jan-Feb. 2013 pp-212-217 ISSN: 2249-6645 Implementing Re-Active Power Compensation Technique in Long Transmission System (750 Km) By Using Shunt Facts Control Device with Mat Lab Simlink Tool Dabberu.Venkateswara Rao, 1 Bodi.Srikanth2 1, 2(Department of Electrical & Electronics Engineering, KL University, India ABSTRACT: This paper attempts to implementation and controller is designed to achieve the firing angles for SVC simulation of the Fuzzy logic control of firing angle for SVC such that it maintains a flat voltage profile. All the results in order to achieve better, smooth and adaptive control of thus obtained, were verified and were utilized in framing of reactive power by using facts technology, Flexible AC fuzzy rule base in order to achieve better reactive power transmission system (FACTS) is a technology, The FACTS compensation for the long Transmission line. Based on technology is a promising technology to achieve complete observed results for load voltage variations for different deregulation of Power System i.e. Generation, values of load resistance, inductance and capacitance a Transmission and Distribution as complete individual fuzzy controller is designed which controls the firing angle units,which is based on power electronic devices, used to of SVC in order to automatically maintain the receiving end enhance the existing transmission capabilities in order to voltage constant. make the transmission system flexible and independent operation. The loading capability of transmission system II. OPERATING PRINCIPLES And can also be enhanced nearer to the thermal limits without implementing Of Static var compensator affecting the stability. Complete close-loop smooth control An elementary single phase thyristor controlled of reactive power can be achieved using shunt connected reactor [1] (TCR) shown in Fig.1 consists of a fixed FACTS devices. Static VAR Compensator (SVC) is one of (usually air core) reactor of inductance L and a two anti the shunt connected FACTS device, which can be utilized parallel SCRs. The device brought into conduction by for the purpose of reactive power compensation. Intelligent simultaneous application of gate pulses to SCRs of the FACTS devices make them adaptable and hence it is same polarity. In addition, it will automatically block emerging in the present state of art..Implementing re-active immediately after the ac current crosses zero, unless the power compensation technique is carried out for long gate signal is reapplied. The current in the reactor can be Transmission line and the compensation is placed at the controlled from maximum (SCR closed) to zero (SCR receiving end (load end). open) by the method of firing delay angle control. That is, the SCR conduction delayed with respect to the peak of the Keyword: FACTS, Tcr, and Tsr, Fuzzy Logic applied voltage in each half-cycle, and thus the duration of the current conduction interval is controlled. I. INTRODUCTION This method of current control is illustrated He reactive power generation and absorption in separately for the positive and negative current cycles in power T system is essential since the reactive power is very Fig.2 where the applied voltage V and the reactor current precious in keeping the voltage of power system stable. The iL(α) at zero delay angle (switch fully closed) and at an main elements for generation and absorption of reactive arbitrary α delay angle are shown. When α =0, the SCR power are transmission line, transformers and alternators. closes at the crest of the applied voltage and evidently the The transmission line distributed parameters throughout the resulting current in the reactor will be the same as that line, on light loads or at no loads become predominant and obtained in steady state with a permanently closed switch. consequently the line supplies charging VAR (generates reactive power). In order to maintain the terminal voltage at III. Indentations and Equations the load bus adequate, reactive reserves are needed. FACTS When the gating of the SCR is delayed by an angle α (0 ≤ devices like SVC can supply or absorb the reactive power at α ≤ /2) with respect to the crest of the voltage, the current receiving end bus or at load end bus in transmission system, in the reactor can be expressed [1] as follows which helps in achieving better economy in power transfer. In this paper long Transmission line is simulated V(t)=Vcosωt. (1) using 4π line segments by keeping the sending end voltage constant. The receiving end voltage fluctuations were iL=(1/L)α∫ωtV(t)dt = (V/ωL)(sin ωt –sin α) (2) observed for different loads. In order to maintain the receiving end voltage constant, shunt inductor and capacitor Since the SCR, by definition, opens as the current is added for different loading conditions. SVC is simulated reaches zero, is valid for the interval α ≤ ωt ≤ –α. For by means of fixed capacitor and thyristor controlled reactor subsequent negative half-cycle intervals, the sign of the (FC-TCR) which is placed at the receiving end. The firing terms in equation (1) becomes opposite. angle control circuit is designed and the firing angles are In the above equation (1) the term (V/ωL) sin α = 0 is varied for various loading Conditions to make the receiving offset which is shifted down for positive and up for end voltage equal to sending end voltage. Fuzzy logic negative current half-cycles obtained at α = 0, as illustrated in Fig.2. Since the SCRs automatically turns off at the www.ijmer.com 212 | Page
  • 2. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.3, Issue.1, Jan-Feb. 2013 pp-212-217 ISSN: 2249-6645 instant of current zero crossing of SCR this process actually Where V is the amplitude of the applied voltage, L controls the conduction intervals (or angle) of the SCR. is the inductance of the thyristor-controlled reactor and ω is That is, the delay angle α defines the prevailing conduction the angular frequency of the applied voltage. The variation angle σ (σ = -2α). Thus, as the delay angle α increases, the of the amplitude ILF (α), normalized to the maximum corresponding increasing offset results in the reduction of current ILFmax, (ILFmax= V/ωL), is shown plotted against the conduction angle σ of the SCR, and the consequent delay angle α shown in Fig.4. reduction of the reactor current. At the maximum delay of α =  /2, the offset also reaches its maximum of V/ωL, at which both the conduction angle and the reactor current becomes zero. The two parameters, delay angle α and conduction angle σ are equivalent and therefore TCR can be characterized by either of them; their use is simply a matter of preference. For this reason, expression related to the TCR can be found in the literature both in terms of α and σ [1]. Fig.4. Amplitude variation of the fundamental TCR current with the delay angle (α) It is clear from Fig.4 the TCR can control the fundamental current continuously from zero (SCR open) to a maximum (SCR closed) as if it was a variable reactive Fig. 1. Basic Thyristor Controlled Reactor admittance. Thus, an effective reactance admittance, BL(α), for the TCR can be defined. This admittance, as a function of angle α is obtained as: BL(α)=1/ωL(1–(2/)α–(1/)sin(2α)) (4) Evidently, the admittance BL(α) varies with α in the same manner as the fundamental current ILF(α).The meaning of equation (4) is that at each delay angle α an effective admittance BL(α) can be defined which determines the magnitude of the fundamental current, ILF(α), in the TCR at a given applied voltage V. In practice, the maximal Fig.2. firing delay angle magnitude of the applied voltage and that of the corresponding current limited by the ratings of the power components (reactor and SCRs) used. Thus, a practical TCR can be operated anywhere in a defined V-I area, the boundaries of which are determined by its maximum attainable admittance, voltage and current ratings as illustrated in the Fig.5a. The TCR limits are established by design from actual operating requirements. If the TCR Fig. 3. Operating waveforms switching is restricted to a fixed delay angle, usually α = 0, then it becomes a thyristor switched reactor (TSR). The It is evident that the magnitude of the current in TSR provide a fixed inductive admittance and thus, when the reactor varied continuously by delay angle control from connected to the ac system, the reactive current in it will be maximum (α=0) to zero (α=/2) shown in Fig.3, where the proportion to the applied voltage as the V - I plot in the reactor current iL(α) together with its fundamental Fig.5b. component iLF(α) are shown at various delay angles α [1]. However the adjustment of the current in reactor can take place only once in each-half cycle, in the zero to /2 interval [1]. This restriction result in a delay of the attainable current control. The worst-case delay, when changing the current from maximum to zero (or vice versa), is a half-cycle of the applied ac voltage. The amplitude ILF (α) of the fundamental reactor current i LF(α) can be expressed as a function of angle α [1]. Fig.5. Operating V-I area of (a) For TCR and (b) For TSR ILF (α) = V/ωL (1 – (2/) α – (1/) sin (2α)) (3) VLmax = voltage limit, ILmax = current limit www.ijmer.com 213 | Page
  • 3. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.3, Issue.1, Jan-Feb. 2013 pp-212-217 ISSN: 2249-6645 BLmax = max admittance of TCR, BL = admittance of reactor A basic VAR generator arrangement using a fixed capacitor with a thyristor-controlled reactor (FC-TCR) shown in Fig.6 [1].The current in the reactor is varied by the previously discussed method of firing delay angle control. A filter network that has the necessary capacitive Fig.8. V-I characteristics of the FC-TCR type VAR impedance at the fundamental frequency to generate the Generator reactive power required usually substitutes the fixed capacitor in practice, fully or partially, but it provides low In Fig.8 the voltage defines the V-I operating area of the impedance at selected frequencies to shunt the dominant FC-TCR VAR generator and current rating of the major harmonics produced by the TCR. power components. In the dynamic V-I Characteristics of The fixed capacitor thyristor-controlled reactor SVC along with the Load lines showed in the Fig.9 the load type VAR generator may be considered essentially to characteristics assumed straight lines for Dynamic studies consist of a variable reactor (controlled by a delay angle α) as easily seen that the voltage improved with compensation and a fixed capacitor. With an overall VAR demand versus when compared without compensation. VAR output characteristic as shown in Fig.7 in constant capacitive VAR generator (Qc) of the fixed capacitor is opposed by the variable VAR absorption (QL) of the thyristor controlled reactor, to yield the total VAR output (Q) required. At the maximum capacitive VAR output, the thyristor-controlled reactor is off (α= 900). To decrease the capacitive output, decreasing delay angle α. At zero VAR output increases the current in the reactor, the capacitive and inductive current becomes equal and thus the capacitive and inductive VARs cancel out. With a further decrease of Fig.9. Dynamic V-I Characteristics of SVC with Load lines angle α, the inductive current becomes larger than the capacitive current, resulting in a net inductive VAR output. VCmax = voltage limit of capacitor At zero delay angle, the thyristor-controlled reactor BC = admittance of capacitor conducts current over the full 180o interval, resulting in VLmax = voltage limit of TCR maximum inductive VAR output that is equal to the ICmax = capacitive current limit difference between the VARs generated by the capacitor ILmax = inductive current limit and those absorbed by the fully conducting reactor. BLmax = max inductive admittance IV. FIGURES and Tables IV.I SVC WITH OUT FUZZY This bellow implementation block diagram gives clear explanation of svc without fuzzy logic, this experiment result is use to refer reactive power compensation technique, after that same test is conducted with fuzzy and take the readings of table III respectively. Fig.6. basic FC-TCR type static generator Fig.7. VAR demand versus VAR output characteristic Fig.10. svc for 750 kv transmission line without fuzzy www.ijmer.com 214 | Page
  • 4. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.3, Issue.1, Jan-Feb. 2013 pp-212-217 ISSN: 2249-6645 IV.2 FUZZY LOGIC CONTROLLER distributed parameters were used in this study. The line Fuzzy logic is a new control approach with great inductance 0.1mH /km, capacitance 0.01μf/km and the line potential for real time applications [2] [3]. Fig.10 shows resistance 0.001Ω were used. Each π section is of 187km, the structure of the fuzzy logic controller (FIS-Fuzzy 187km, 188km and 188 km. Supply voltage is 230V - 50 inference system) in MATLAB Fuzzy logic toolbox. Hz having source internal resistance of 1 Ω connected to [5][6].Load voltage and load current taken as input to fuzzy node A. Static load is connected at receiving end B .The system. For a closed loop control, error input can be load resistance was varied to obtain the voltage variations at selected as current, voltage or impedance, according to the receiving end. A shunt branch consisting of inductor control type. To get the linearity triangular membership and capacitor is added to compensate the reactive power of function is taken with 50% overlap. The output of fuzzy transmission line. With the change of load and due to controller taken as the control signal and the pulse Ferranti effect, the variations in voltages are observed at generator provides synchronous firing pulses to thyristors receiving end B of transmission line. The practical values of as shown in fig.12. The Fuzzy Logic is a rule based shunt elements are varied for different loading conditions to controller, where a set of rules represents a control decision get both sending and receiving end voltages equal. As mechanism to correct the effect of certain causes coming shown in Table II. from power system. In fuzzy logic, the five linguistic variables expressed by fuzzy sets defined on their Table II compensated practical values respective universes of discourse. Table-I shows the Of inductor and capacitor suggested membership function rules of FC-TCR controller. The rule of this table can be chosen based on S.N Load Compen Compens practical experience and simulation results observed from O Resis sating ating the behavior of the system around its stable equilibrium tance Inductan Capacitan points. Ω ce ce (μf) 1. 500 0.8 H 1 2. 400 0.9H 1 3. 300 0.19H 2 4. 200 0.18 H 5 5 150 0.19H 5 6 100 0.22H 8 7 50 0.14 8.5 8 40 0.14 9.0 9 30 0.14 10 10 20 0.14 12 A. FIRING CIRCUIT DESIGN Fig.11. Structure of fuzzy logic controller Table I. Membership function rules Load voltage NL NM P PM PB NL PB PB NM NM NL Load Fig 12 firing pulse generating circuit NM PB PB NM P NL current P P PM NM NM P PM NM P NM NM PM Table III TEST RESULT PB NL NM NM NL NL Load voltage before and after compensation The transmission line without any compensation was not IV. 3 LONG TRANSMISSION LINE satisfying the essential condition of maintaining the voltage An available simple two-bus artificial transmission (750 within the reasonable limits. The effect of increasing load km) line model of 4π line segments with 750 km, was to reduce the voltage level at the load end. At light www.ijmer.com 215 | Page
  • 5. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.3, Issue.1, Jan-Feb. 2013 pp-212-217 ISSN: 2249-6645 loads, the load voltage is greater than the sending end 400 voltage as the reactive power generated is greater than 300 absorbed. At higher loads the load voltage drops, as the reactive power absorbed is greater than generated, as shown 200 in Table III. Fig.13 and Fig.14 indicates unequal voltage 100 profiles. Fig.16 clearly shows the firing angle and inductor 0 current control. -100 -200 -300 -400 0 5000 10000 15000 Fig.14. Uncompensated voltage for light load 5 4 3 2 1 0 -1 -2 -3 -4 -5 0 5000 10000 15000 Fig.15. Inductor Current for firing angle 165 deg 250 200 150 100 50 0 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 4 x 10 Fig.16. Compensated VR =VS (RMS voltage) for R=200Ω 400 300 200 Simulation Results 100 0 -100 -200 -300 0 5000 10000 15000 Fig17. Compensated VR=VS (instantaneous voltage) For R=200 Ω V. CONCLUSION This paper presents an “online Fuzzy control scheme for Fig.13. Uncompensated voltage for heavy load SVC” and it can be concluded that the use of fuzzy controlled SVC (FC-TCR) compensating device with the firing angle control is continuous, effective and it is a www.ijmer.com 216 | Page
  • 6. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.3, Issue.1, Jan-Feb. 2013 pp-212-217 ISSN: 2249-6645 simplest way of controlling the reactive power of Chapters in Books: transmission line. It is observed that SVC device was able [3] Timothy J Ross, Fuzzy Logic with Engineering to compensate both over and under voltages. Compensating Applications (McGraw-Hill, Inc, New York, 1997). voltages are shown in Fig.17 and Fig.18. The use of fuzzy Theses: logic has facilitated the closed loop control of system, by [4] Bart Kosko, Neural Networks and Fuzzy Systems A designing a set of rules, which decides the firing angle Dynamical Systems Approach to Machine Intelligence Prentice-Hall of India New Delhi, June 1994. given to SVC to attain the required voltage. With Proceedings Papers: MATLAB simulations and actual testing it is observed that [5] Chuen Chien Lee “Fuzzy Logic in Control Systems: Fuzzy SVC (FC-TCR) provides an effective reactive power Logic Controller”. Part I and Part II. IEEE R. IEEE control irrespective of load variations. transactions on system, man, and cybernetics, vol.20 March/April11990 Electrical Engineering Dept Pontifica ACKNOWLEDGEMENTS Universidad Catolica De CHILE use of fuzzy controlled SVC (FC-TCR) compensating device with the firing angle control is continuous, effective AUTHORS BIOGRAPHY and it is a simplest way of controlling the reactive power of transmission line. REFERENCES Journal Papers: [1] S.M.Sadeghzadeh M. Ehsan Improvement of Transient Stability Limit in Power System Transmission Lines Using Fuzzy Control of FACTS Devices ,IEEE Transactions on Power System Vol.13 No.3 ,August 1998Books: [2] Understanding FACTS Concepts and Technology Of flexible AC Transmission Systems by (Narain. G. Hingorani IEEE Press USA 1980). www.ijmer.com 217 | Page