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Volume 1, Issue 9, November- 2012

Abstract—This paper presents the model of a static VAR compensator (SVC) which is controlled externally by a newly designed Power System Controller(PSC) for the improvements of power system stability and damping effect of an on line power system.The proposed PSC consists of two controllers(PID & POD).PID parameters has been optimized by Triple Integral Differential(TID) close loop tuning method. Both single phase and three phase (L-L) faults have been considered in the research. In this paper, A power system network is considered which is simulated in the phasor simulation method & the network is simulated in three steps; without SVC, With SVC but no externally controlled, SVC withPower System Controller. Simulation result shows that without SVC, the system parameters becomes unstable during faults. When SVC is imposed in the network, then system parameters becomes stable. Again, when SVC is controlled externally by PSCcontrollers,

then system parameters(V,P,Q,dω,Vt) becomes stable in faster

way then without controller. It has been observed that the SVC ratings are only 20 MVA with controllers and 200 MVA without controllers. So, SVC with PSCcontrollers are more effective to enhance the voltage stability and increases power transmission capacity of a power system .The power system oscillations is also reduced with controllers in compared to that of without controllers. So with PSC controllers the system performance is greatly enhanced.

Keywords—SVC, Voltage Regulator,Power System Controller, TID Tuning, Power Oscillation Damping,MATLAB Simulink..

I. INTRODUCTION

Power system stability improvements is very important for large scale system. The AC power transmission system has diverse limits, classified as static limits and dynamic limits[1- 2]

.Traditionally, fixed or mechanically switched shunt and series capacitors, reactors and synchronous generators were being used to enhance same types of stability augmentation[3]. For many reasons desired performance was being unable to achieve effectively. A static VAR compensator (SVC) is an electrical device for providing fast-acting reactive power compensation on high voltage transmission networks and it can contribute to improve the

Habibur Rahman:Department of EEE,Rajshahi University of Engineering & Technology,(RUET) Rajshahi-6204, Bangladesh, Mobile No: +8801758096759

IliusHasanPathan:Lecturer, Department of EEE, Bangladesh

University of Business & Technology (BUBT),Dhaka, Bangladesh Mobile No:+8801914105407.

Harun-Or-Rashid: Department of EEE,Rajshahi University of Engineering & Technology, (RUET) Rajshahi-6204, Bangladesh, Mobile No: +8801717193348

voltage profiles in the transient state and therefore, it can improve the qualities and performances of the electric services[3]. An SVC can be controlled externally by using properly designed different types of controllers which can improve voltage stability of a large scale power system. In previous study Authors has designed aPID controller which has tuned by Triple Integral Differential(TID) tuning method[4]. However, in this study, With a view to get better performance,Anew power systemcontroller(PSC) has been designed& proposed for SVC to injects Vqrefexternally for the improvement of power system stability. The dynamic nature of the SVC lies in the use of thyristor devices (e.g. GTO, IGCT)[3]. Therefore, thyristor based SVC with PID controllers has been used to improve the performance of 2-machine power system.

II. CONTROL CONCEPT OF SVC

An SVC is a controlled shunt susceptance(B) which inject reactive power (Qnet) into thereby increasing the bus voltage back to its net desired voltage level. If bus voltage increases, the SVC will inject less (or TCR will absorb more) reactive power, and the result will be to achieve the desired bus voltage[Fig.1].Here, +Qcap is a fixed capacitance value, therefore the magnitude of reactive power injected into the system, Qnet, is controlled by the magnitude of –Qind reactive power absorbed by the TCR. The basis of the thyristor-controlled reactor(TCR) which conduct on alternate half-cycles of the supply frequency. If the thyristors are gated into conduction precisely at the peaks of the supply voltage, full conduction results in the reactor, and the current is the same as though the thyristor controller were short circuited. SVC based control system is shown in Fig.1[3].

Bus Bar

C.B P.T

Vsvc

Isvc

Reactor Thyristor

Vulve

SVC Controller AVR

Inductive reactive power absorbtion

(-Qind)

Transformer

TCR

Pulse generator

Capacitive reactive power injection

(+Qcap)

Qnet=Qcap - Qind

Fixced Capacitor

Fig.1 SVC based control system

III. SVCV-I CHARACTERISTICS

The SVC can be operated in two different modes:

a). In voltage regulation mode (the voltage is regulated within limits as explained below).

Power System Stability Improvement By Using

SVC With Power System Controller

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Volume 1, Issue 9, November- 2012

b). In VAR control mode (the SVC susceptance is kept constant).

From V-I curve of SVC, From Fig.2[3],

V=Vref+Xs.I,: In regulation range(-Bcmax<B<Bcmax) V=I/Bcmax, ,: SVC is fully Capacitive(B=Bcmax) V=1/Blmax, : SVC is fully inductive(B=Blmax)

Vref

dv Blmax

Bcmax

Isvc-base

Isvc

SVC operating point

Inductive(-)

Capacitive(+) 0

Xslope=dv/Isvc-base v

Fig.2 Steady state(V-I) characteristic of a SVC

IV. POWER SYSTEM MODEL

This example described in this section illustrates modelling of a simple transmission system containing 2- hydraulic power plants[Fig.3]. SVC has been used to improve transient stability and power system oscillations damping. The phasor simulation method can be used. A single line diagram represents a simple 500 kV transmission system is shown in Fig.3[5].

M1 13.8/500KV

D/Yg

950MW 1000MVA

350km 350km

SVC B1

B2

B3

500/13.8kv Yg/D

5000mw

M2

5000MVA

4046MW

Power System Controller

fault

Fig.3 Single line diagram of 2-machine power system

A 1000 MW hydraulic generation plant (M1) is connected to a load centre through a long 500 kV, total 700km transmission line. A 5000 MW of resistive load is modelled as the load centre. The remote 1000 MVA plant and a local generation of 5000 MVA (plant M2) feed the load. A load flow has been performed on this systemwith plant M1 generating 950 MW so that plant M2 produces4046 MW. The line carries 944 MW which isclose to its surge impedance loading (SIL = 977 MW).To maintain system stability after faults, the transmissionline is shunt compensated at its centre by a 200MVAR Static VAR Compensator (SVC).

The SVC doesnot have any controller unit. Machine & SVC parameters has been taken from reference[5].The complete simulink model of SVC with power system controller is shown in Fig.4. To maintain system stability after faults, the transmissionline is shunt compensated at its centre by a 200MVAR Static VAR Compensator (SVC) with power system controller. Thetwo machines are equipped with a hydraulic turbine and governor (HTG) [Fig.6],excitation system, and power system stabilizer (PSS). Another machine is swing generator.PSS is used in the model to add damping to the rotor oscillations of the synchronous machine by controlling its excitation current[2]. Any disturbances that occur in power systems due to fault, can result in inducing electromechanical oscillations of the electrical generators. Such oscillating swings must be effectively damped to maintain the system stability and reduce the risk of stepping out of synchronism.

V. SIMULATION RESULTS

The load flow solution of the above system is calculated and the simulation results are shown below. Two types of faults: A. single line to ground fault &B. Three phase fault have been considered.

A. single line to ground fault

Consider a 1-phase fault occurred at 0.1s & circuit breaker is opened at 0.2s (4-cycle fault),Without SVC, the system voltage, power & machines oscillates goes on unstable[Fig.(5,8,10)]. But if SVC(without controller) is applied then voltage becomes stable within 3s [Fig.7],power becomes within 3s[Fig.9] & machines oscillation becomes stable within 4.5s [Fig.11]. All results has been summarized in table-I.

Fig.5 Bus voltages in p.u for 1-phase fault(without SVC)

0 0.5 1 1.5 2

0 0.5 1 1.5 2

time,t

B

u

s

V

o

lt

a

g

e

s

Va Vb Vc

powergui Phasors

dw del (dw)

V-I Measurement A

B

C a

b

c

V P Q Measurements

Turbine & Regulators M 2

m

Pref Pm

Vf

Turbine & Regulators M 1

m

Pref Pm

Vf

TV

SVC1 Vre

f

m

A B C

SVC

SVC

Pref2

1

Pref1 1

Power System Controller dw1

dw2

Vabc

Iabc Vqref *

del(dw)

dw.

Machine Signals

Vt 1

M2 5000 MVA Pm

Vf _ m

A

B

C M1 1000 MVA

Pm

Vf _ m

A

B

C

Load 5000 MW

A B C

L2 350 km L1 350 km

Iabc dw1

Vabc dw2 Fault Breaker

AA BB CC

Bus Volt

Bus Power ,Q Bus Power ,P B3

A

B

C a

b

c B2

A

B

C a

b

c B1

A

B

C a

b

c

5000 MVA 13 .8 kV/500 kV

A

B

C a

b

c 1000 MVA

13 .8 kV/500 kV A

B

C a

b

c

<Vm (pu)> <B (pu)>

Vt 1 Vt 2 (pu)

Vpos. seq. B1 B2 B3 B4

Q B1 B2 B3 B4 (Mvar ) P B1 B2 B3 B4 (MW )

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Volume 1, Issue 9, November- 2012

Fig.7 Bus Voltages in p.u for 1-phase fault (with SVC)

Fig.8 Bus power,P in MW during fault (Without SVC)

Fig.9 Bus Power(P)in MW for 1-Ø faults(with SVC)

Fig.10 Speed deviation for 1- phase fault(without SVC)

Fig.11 Speed oscillations for 1- phase fault(with SVC)

B. Three phase fault

During 3-phase faults, If no SVC is applied then system voltage & machines speed deviations becomes unstable But when SVC(without controller) is applied then the system voltage becomes stable within 5s [Fig.12] & machines speed deviation becomes stable within 5s [Fig.13].

Fig.12 Bus Voltage(Va) in p.u for L-L phase fault

Fig.13 Machines speed deviation for L-L fault

VI. DESIGNE OF POWER SYSTEM CONTROLLER(PSC) The proposed Power system controller consists of two parts, A. Proportional Integral Derivative(PID) controller which is tuned by Triple Integral Differential(TID) method[4], B. Power Oscillation Damping(POD) controller. PID controller takes input as machines angular speed deviation & get an

0 0.5 1 1.5 2 2.5 3 3.5

0.5 0.6 0.7 0.8 0.9 1 1.1

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s Va

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o

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,P

Power

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p

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time,t

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pe

ed

D

ev

ia

tio

n

dw

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0 0.01 0.02

time,t

S

p

e

e

d

D

e

v

ia

ti

o

n dw

Fig.6 PSS, HTG and excitation system block diagram for machine 1.

Vf 2 Pm

1 wref

1

Vref 1 1 Re

Im

Multi -Band PSS

dw Vs tab

Machines Measurement

Demux m

vs _qd

d_theta

wm

dw

Peo

HTG

wref Pref we Pe0 dw

Pm

gate

dw 1

pm 1

w1

Vt 1 d_theta 1

EXCITATION

vref

vd

vq

vs tab Vf

Demux

|u|

Pref 2

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Volume 1, Issue 9, November- 2012

error signal & POD controller takes input as line voltage & line current & after damp out the oscillation it also gives as error signal. Finally, the proposed power system controller takes input as all parameters of power system network i.e. Vabc,Iabc,dω& it gives an error signal(Vqref) which injects SVC for improvement of power system stability.

A. Designed of PID Controller

PID controller is tuned by the proposed Triple Integral Differential(TID) tuning methods.The PID controller has three term control signal,

...(1)

In Laplace Form,

……….…..(2)

Fig.14 PID controller is in proportional action

Fig.15 Determination of sustained oscillation (Pcr)

For selecting the proper controller parameters, TID Tuning Method is described below.

In this method, the parameter is selected as Ti=∞,Td=0. Using the proportional controller action[Fig.14]only increase Kp from 0 to a critical value Kcr. At which the output first exhibits sustained oscillations[Fig.15]. Thus the critical gain Kcr& the corresponding period Pcr are experimentally determined.It is suggested that the values of the parameters Kp Ti Td should set according to the following formula same as Zieglar-Nicles methods[4].

Kp=0.6Kcr , Ti=0.5Pcr , Td=0.125Pcr

Notice that the PID controller tuned by proposed TID tuning methods rules as follows, From Eq.2,

………...………….(3)

...(4)

…………....(5)

It’s found that, Pcr=0.2s &Kcr=200[Fig.5]. So,

……...(6) ...(7) ……….…...(8) ..…..(9) ………….(10) ………...(11)

-+

2 3 S * 0.2 4 2 . 0 S 3     

SU(s)

E(s)

Fig.16 PID controller Tuning parameters

Fig.17 Internal Structure of PID controller with dω input

B. Designed of POD Controller

The Power Oscillation Damping Controller takes input as Vabc ,Iabc& it convert it as power. If no faults has occurred then switch remains open. But when fault occurred then switch becomes closed & after filtering or dampout oscillation, it also gives an error signal & finally two error signal has been added & this is Vqref.

Fig.18 Internal Structure of POD controller

C. Power System Controller(PSC)

The proposed Power System Controller consists of both two controllers(PID & POD)[Fig.19] which injects Vqref in SVC[Fig.20]& further improve the power system stability.

Fig.19 Internal Structure of Power System Controller(PSC)

Fig.20 SVC with Power System Controller (PSC)

dw. 2

del (dw)

1 Transfer Fcn 2

0.2s

0.2s +43

Transfer Fcn 1 0.2s

0.2s +43

Saturation Reciprocal 1 u Integretor 1 s Gain 3 dw2 2 dw1 1 Vqref * 1 highpass Saturation 1 Mean Value (linear ) In Mean Lowpass LeadLag 1 0.1 2/3 -1 Gain 1 100 Active Power Measurement Vabc Iabc PQ Iabc 2 Vabc 1 dw. 3 del (dw) 2 Vqref * 1 highpass Transfer Fcn 2

0.2s

0.2s +43 Transfer Fcn 1

0.2s

0.2s +43

Saturation 1 Saturation Reciprocal 1 u Mean Value (linear ) In Mean Lowpass LeadLag 1 0.1 Integretor 1 s 2/3 -1 Gain 1 100 Gain 3 Active Power Measurement Vabc Iabc PQ Iabc 4 Vabc 3 dw2 2 dw1 1 dw del (dw)

Power System Controller

dw1 dw2 Vabc Iabc Vqref * del(dw) dw. Iabc dw1 Vabc dw2

B & V 1 Vre

f

m

A B C

SVC

<Vm (pu)> <B (pu)> 3 3

)

(

)

(

)

(

dt

t

e

d

T

K

dt

t

e

T

K

e(t)

K

t

u

p d

i p

p



         3 d 3 i p T T 1 1 K E(s) U(s) S S





3 d 3 i p

T

T

1

1

K

)

(

S

S

s

G

C          3 cr 3 cr

cr 0.125

P 0.5 1 1 K 6 . 0 )

( P S

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Volume 1, Issue 9, November- 2012

VII. SIMULATION RESULTS

The network remains same [Fig.4],just simple SVC is replaced by power system controlled SVC[Fig.20)]. During fault ,machines speed deviation(dω)& Line voltage(Vabc) , Line current(Iabc) are always monitored by power system controller & taking input of those oscillation, after processing as shown in Fig.19, it reduces damping of power system oscillation& helps SVC to improve stability. Two types of faults has been considered: A. Single line to ground fault and B. Three phase L-L fault.

A. Single line to ground fault

During 1-phase faults, if PSC is used as SVC controller then, the system voltage becomes stable within 0.65s with 0% damping [Fig.21] &Power (P,Q) becomes stable within 0.6s [Fig.22,23] &Machines terminal voltage(Vt) becomes stable within 0.45s [Fig.24]& dω becomes stable at 0.99s[Fig.25].

Fig.21 Bus voltage in p.u for 1-Ø fault (with PSC)

Fig.22 Bus power,P in MW for 1-Ø fault (with PSC)

Fig.23Bus Power,Q for 1-Ø fault in MW(with PSC)

Fig.24 Machines terminal voltage for 1-Ø fault(with PSC)

Fig.25 Machines speed deviation for 1-Ø fault(with PID)

B. Three phase fault

During 3-phase faults, If PSC is used as SVC controller then, the system voltage becomes stable within 1.3s [Fig.26] & Both power (P,Q) becomes stable within 0.5s& 0.7s [Fig.27,28].Machines terminal voltage(Vt) becomes stable within 0.3s [Fig.29]&dω becomes stable at 0.99s[Fig.30].

Fig.26 Bus voltages in p.u for L-L fault (with PSC)

Fig.27 Bus power, P in MW for L-L fault (with PSC)

Fig.28 Bus power, Q in MVAR for L-L fault (with PSC)

Fig.29 Machinesterminal Voltage for L-L fault(with PSC)

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time,t

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u

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V

o

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Va Vb Vc

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500 1000 1500 2000 2500

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B

u

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r,

P

Pa(MW) Pb(MW)

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-1000 0 1000 2000 3000 4000 5000

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P

o

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Q

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e

rm

in

a

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2x 10

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p

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Machines Speed Deviations,dw

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Volume 1, Issue 9, November- 2012

Fig.30 Machines speed deviation for L-L fault(with PID)

VIII. RESULTS &DISCUSSIONS

The performance of the proposed Power System Controller with SVC has been summarized in the table-I. In table-I, α (infinite time) means the system is unstable, SVC rating in MVA. The network is simulated in three steps; without SVC,

With SVC, SVC with proposed Power System

Controller(PSC).

Table-I

Performance ofproposed Power SystemController(PSC)

1-Øfault (Stability time)

L-L fault (Stability time) Contr

oller

SVC

Rating

Volt P,Q dω& Vt

volt P,Q dω & Vt No

SVC 200

MVA

α α α α α α

SVC 200 3s 3s 4.5s 5s 5s 5s

SVC+ PSC

20

MVA 0.9s 0.6s

0.99s

&

0.45s

1.3s 0.5s

& 0.7s

0.8s & 0.3s

IX. CONCLUSION

This paper presents the power system stability improvement i.e. voltage level, machine oscillation damping, real & reactive power in a power system model of SVC without or with proposed Power System Controller for different types of faulted conditions. PSC is also a very efficient controller then others for SVC to enhance the power system stability. From above results, this proposed Triple Integral Differential(TID) close loop tuning method for selecting PID controller parameters& POD ,In combine,Power System Controller may be highly suitable as a SVC controller because of shorter stability time, simple designed, low cost & highly efficient controller. Rather that, If PSC controller is used then only small rating of SVC becomes enough for stabilization of robust power system within very shortest possible time for both steady state & dynamic conditions. These proposed Power System Controller can be applied for any interconnected multi-machine power system network for stability improvement.

These controller can be applied to another FACTS devices namely SSSC, STATCOM, UPFC whose controllers may be controlled externally by designing different types of controllers which also may be tuned by using different algorithm i.e. Fazzy logic,ANN, Genetic algorithm, FSO etc. for both transient and steady state stability improvement of a power system.

ACKNOWLEDGMENT

Author’s would like to thanks specially to Dr. Md. Rafiqul Islam Sheikh, Professor & Head, Dept. of EEE, RUET for providing his innovative ideas, encouragement & observation for completing this research.

REFERENCES

[1] AmitGarg ,”Modeling and Simulation of Static VAR Compensator for Improvement of Voltage Stability in Power System”ISSN:2249-071X,Vol.2,Issue-2

[2] Ali M. Yousef “Transient stability Enhancement of multi machine using Global deviation PSS” Journal of Engineering sciences, Faculty of Engineering, Assiut University, Vol. 32-No.2 April 2004 pp. 665-677

[3] A.E.Hammad “Analysis of power system stability enhancement by static var compensator”, IEEE PWRS, vol 1, no. 4, pp. 222-227. [4] Habibur, Dr. Fayzur, Harun,”Power SystemStability Improvement

By Using SVC With TID Tuned PID Controller”,IJARCET, ISSN-2278-1323 (online), India,Vol:1,Issue:8, October-2012,Pp. 93-98.

[5] " MATLAB Math Library User's Guide", by the Math Works. Inc.

AUTHOR’S BIOGRAPHIES

Md.Habibur Rahmanhas completed his bachelor of Science in Electrical & Electronic Engineering in Rajshahi University of Engineering & Technology (RUET),Rajshahi-6204,Bangladesh. The author’s has total number of eight publications in differentInternational Journal& one text book on power system stability (ISBN:978-3-659-24701-9) which has published in LAP lambert, Germeny. Habibis interested to research in the field of stabilization of power system, FACTS devices, Genetic Algorithm, Fuzzy Logic.

Md. IliusHasanPathanreceived the B.Sc. in Electrical & Electronic Engineering in Rajshahi University of Engineering & Technology(RUET), Rajshahi-6204,Bangladesh in 2011.Currently, He is a Lecturer of Electrical Engineering department at Bangladesh University of Business & Technology(BUBT),Dhaka, Bangladesh. His teaching and research areas include power system and Industry, FACTS devices, power electronics, process control, PLC application,Power systems planning, operation & optimization & Smart Grid.

Md. Harun-Or-Rashid has completed his bachelor of Science in Electrical & Electronic Engineering in Rajshahi University of Engineering & Technology (RUET), Rajshahi-6204 ,Bangladesh. The author’s has total number of eight publications in different International Journal & one text book on power system stability (ISBN: 978-3-659-24701-9) which has published in LAP lambert, Germeny. Harunis interested to research in the field of stabilization of power system, FACTS devices, Genetic Algorithm, Fuzzy Logic.

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References

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