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2010 Inteational Conference on Power System Technology Transmission-Line Theory based Study on Voltage Distribution along the Line and the Disposition Scheme of Series Capacitors of UHV Transmission Lines with Series Capacitors Xiaohui Qin Member, IEEE, Hong Shen, Qinyong Zhou, Qiang Guo, Bin Zheng, Zutao Xiang, Liangeng Ban Abstract-- In this paper, the transmission-line theory based fast algorithm for voltage distribution along the UHV transmission line with series capacitors is proposed. Firstly, the two-port transmission parameter matrix of UHV transmission lines is transformed to the two-port node admittance matrix, therefore, the lumped parameters of strict equivalent model for UHV transmission line is obtained. Secondly, the parameters are filled into the commercial power flow soſtware to calculate the power flow of the target grid which includes the UHV transmission lines with series capacitors. Thirdly, the power flow calculation results are regarded as the terminal conditions of the UHV lines with series capacitor, and the transmission parameter matrix is used to calculate the voltage distribution along the line rapidly. In the algorithm, the voltage distribution along the line is obtained accurately; moreover, the reactive power supply capacities of both sides of the UHV lines with series capacitors can be taken into account, which implies that the engineering applicability of the proposed algorithm is very strong. At last, the relative disposition scheme of UHV series capacitors and UHV line shunt reactors as well as the centralized/distribution layout scheme of UHV series capacitors are investigated, and some useful conclusions are drawn. According to the proposed algorithm and the conclusions, the guidance suggestion is given for the UHV series capacitors schemes of 'Wandian Dongsong' UHV transmission project and 'Ximeng Waisong' UHV transmission project. Ind Terms-- UHV Transmission Lines, UHV Series Capacitors Transmission-Line Theory, Voltage Distribution, Disposition Scheme. I. INTRODUCTION Installing series capacitors (SCs) on EHV (220�765kV) and UHV lines could enhance the transmission capacity and affect such issues as the steady-state voltage distribution characteristics [1]-[3], [19]-[20]. Generally, the voltage at each site should not be higher or too lower than the maximum system operation voltage. Therefore, it is necessary to take various influencing factors into consideration to study the operation voltage characteristics of the series compensation lines [11]-[12]. Currently, both domestic and overseas researchers have studied on the steady-state operation voltage distribution characteristics of EHV SC lines, and concluded that the installation sites of the SC and shunt reactors (SRs) as well as the series compensation degree and the active power capacity can affect the voltage distribution characteristics[4]- [5], [9], [16]. However, past research did not consider the reactive power configurations in actual projects and did not This work was supported in part by the State Grid Corporation of China. X. H. Qin and other authors are all with Power System Department, China Electric Power Research Institute, Beijing, 100192, China (e-mail: q inxh@epri.sgce.eom.en). 978-1-4244-5940-7/1 0/$26.00©2010 IEEE conduct special research on the UHV series compensation power transmission system either. The UHV power transmission technology has great application foreground in China [6] , [13] . The transmission capacity of UHV transmission lines can be improved dramatically by applying the UHV SCs. And obtaining the voltage distribution along the transmission line is very important to decide the scheme of UHV SCs. The cuent relative algorithms are electromagnetic calculation and the approximate multi-section line power flow calculation. But the former can not take account of the reactive power supply capacities of both sides of UHV transmission lines, and the latter is a hard and approximate method, and its power flow convergence characteristic is poor due to increment of zero- injection nodes numbers. Therefore, a novel fast algorithm based on transmission theory is proposed in the paper to obtain the voltage distribution along the UHV line with SCs. The relative study tools include PSD-BPA and TLAB [7] - [8] , [14] . II. TRANSMISSION-LINE THEORY According to the sine wave steady solution of the unifo transmission line, the voltage and current of the point which is I distant om the teinal end of the line is as follows: . . U 1u = U 2ch() + i?zcsh() / = f2ch() + _ 2 sh() Z c Where, Z _ o c - Yo r=JzoYo a + j (1) (2) (3) The constant Zc is called the characteristic impedance, y is called the propagation constant, Zo is the series impedance per unit lengtphase, Yo is the shunt admittance per unit lengtphase. The constant y and Zc are complex quantities. The real part of the propagation constant y is called the attenuation constant a, and the imaginary part is called the phase constant p. The transmission line can be regarded as a two-port network shown in Fig.l. i 2 u, j 0, Fig.1 The two-port network of transmission line

description

Capacitancia en lineas aereas de transmision

Transcript of 29.-_05666658

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2010 International Conference on Power System Technology

Transmission-Line Theory based Study on Voltage Distribution along the Line and the Disposition Scheme of Series Capacitors of UHV Transmission Lines with Series Capacitors

Xiaohui Qin Member, IEEE, Hong Shen, Qinyong Zhou, Qiang Guo, Bin Zheng, Zutao Xiang, Liangeng Ban

Abstract-- In this paper, the transmission-line theory based fast

algorithm for voltage distribution along the UHV transmission

line with series capacitors is proposed. Firstly, the two-port

transmission parameter matrix of UHV transmission lines is

transformed to the two-port node admittance matrix, therefore,

the lumped parameters of strict equivalent 7t model for UHV

transmission line is obtained. Secondly, the parameters are filled

into the commercial power flow software to calculate the power

flow of the target grid which includes the UHV transmission lines

with series capacitors. Thirdly, the power flow calculation results

are regarded as the terminal conditions of the UHV lines with

series capacitor, and the transmission parameter matrix is used to

calculate the voltage distribution along the line rapidly. In the

algorithm, the voltage distribution along the line is obtained

accurately; moreover, the reactive power supply capacities of

both sides of the UHV lines with series capacitors can be taken

into account, which implies that the engineering applicability of

the proposed algorithm is very strong. At last, the relative

disposition scheme of UHV series capacitors and UHV line shunt

reactors as well as the centralized/distribution layout scheme of

UHV series capacitors are investigated, and some useful

conclusions are drawn. According to the proposed algorithm and

the conclusions, the guidance suggestion is given for the UHV

series capacitors schemes of 'Wand ian Dongsong' UHV

transmission project and 'Ximeng Waisong' UHV transmission

project.

Index Terms-- UHV Transmission Lines, UHV Series

Capacitors Transmission-Line Theory, Voltage Distribution,

Disposition Scheme.

I. INTRODUCTION

Installing series capacitors (SCs) on EHV (220� 765kV)

and UHV lines could enhance the transmission capacity and

affect such issues as the steady-state voltage distribution

characteristics [1 ]-[3], [19]-[20]. Generally, the voltage at each

site should not be higher or too lower than the maximum

system operation voltage. Therefore, it is necessary to take

various influencing factors into consideration to study the

operation voltage characteristics of the series compensation

lines [11]-[12]. Currently, both domestic and overseas

researchers have studied on the steady-state operation voltage

distribution characteristics of EHV SC lines, and concluded

that the installation sites of the SC and shunt reactors (SRs) as

well as the series compensation degree and the active power

capacity can affect the voltage distribution characteristics[4]­

[5], [9], [16]. However, past research did not consider the

reactive power configurations in actual projects and did not

This work was supported in part by the State Grid Corporation of China. X. H. Qin and other authors are all with Power System Department, China

Electric Power Research Institute, Beijing, 100192, China (e-mail: q [email protected]).

978-1-4244-5940-7/1 0/$26.00©2010 IEEE

conduct special research on the UHV series compensation

power transmission system either.

The UHV power transmission technology has great

application foreground in China [6], [13]. The transmission

capacity of UHV transmission lines can be improved

dramatically by applying the UHV SCs. And obtaining the

voltage distribution along the transmission line is very

important to decide the scheme of UHV SCs. The current

relative algorithms are electromagnetic calculation and the

approximate multi-section line power flow calculation. But the

former can not take account of the reactive power supply

capacities of both sides of UHV transmission lines, and the

latter is a hard and approximate method, and its power flow

convergence characteristic is poor due to increment of zero­

injection nodes numbers. Therefore, a novel fast algorithm

based on transmission theory is proposed in the paper to obtain

the voltage distribution along the UHV line with SCs. The

relative study tools include PSD-BPA and MA TLAB [7]-[8], [14].

II. TRANSMISSION-LINE THEORY

According to the sine wave steady solution of the uniform

transmission line, the voltage and current of the point which is

I distant from the terminal end of the line is as follows:

. . U 1u = U 2ch(rt) + i?zcsh(rt)

/ = f2ch(rt) + _2 sh(rt) Zc

Where,

Z _�o c- Yo

r=JzoYo ==a+ jf3

(1)

(2)

(3)

The constant Zc is called the characteristic impedance, y is

called the propagation constant, Zo is the series impedance per

unit length/phase, Yo is the shunt admittance per unit

length/phase.

The constant y and Zc are complex quantities. The real part

of the propagation constant y is called the attenuation constant

a, and the imaginary part is called the phase constant p. The transmission line can be regarded as a two-port network

shown in Fig.l.

i 2

u, j 0,

Fig.1 The two-port network of transmission line

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Formula (1) is rewritten as matrix form

[U1] =[ �h(rf) jZCSh(rf)][ U2]

j j-sh(rf) ch(rf) _ j 1 Zc 2

The transmission parameter matrix is [ ch(rf) jZcSh(rf)] T = j_l sh(rf) ch(rf)

Zc where,

A = ch(rf) B = jZcsh(rf)

C = j_I sh(rf) Zc

D = ch(rf)

(4)

(5)

(6)

According to the two-port network theory, the two-port

network in Fig.l can be transformed into the n type two-port

network shown in Fig.2.

Z,q 0

! Y"

c::=:::J

! Y"

0

Fig.2 The n type equivalent model of transmission line

In Fig.2, the equivalent parameters are

Zeq = B

y'q =(A-l) / B=(D-I) / B (7)

The above equivalent model and equivalent parameters are

absolute strict under element frequency, which can be used in

the power flow calculation and transient stability calculation

directly. In formula (4), (A-I)/B indicates the admittance of the

right branch to ground and (D-I)/ B indicates the admittance of

the left branch to ground in Fig.2.

III. THE PROPOSED ALGORITHM AND ITS PROCEDURE

Based on the transmission line theory described in part I, a

novel algorithm for voltage distribution along the line of the

UHV transmission lines with SCs is proposed.

Double circuit transmission Single circuit Double circuit transmission

line on same tower, transmission line, line on same tow!.'!,

I champaign region

I mOWltainous region

I mountainous region

. .. 1'." 1'." Circuit Capacitor I h I 1:1 I 13 Breaker : : :

Bus Shunt

Reactor

Fig.3 The schematic ofUHV transmission lines with SCs

Fig.3 shows a UHV transmission line with series capacitor.

In the figure, the series capacitor is disposed at the beginning

end of UHV transmission line, and the line shunt reactor of the

beginning end is closer than capacitor from substation buses.

The UHV transmission line consists of three sections whose

lengths are I], 12, 13 respectively. The tower-line conditions of

the three sections are double circuit transmission line on same

tower (champaign region), single circuit transmission line

(mountainous region) and double circuit transmission line on

same tower (mountainous region) respectively, therefore, the

parameters per unit length/phase (zo yo) and the propagation

constants y of the three sections are different.

Double circuit transmission Single circuit Double circuit transmission

line on same tower, transmission line, lillC on same tower,

I champaign region

I mountainous region

I mountainous region

Circuit Capacitor .. i1 I' II 12 .. .. 13 -ICircuit Breaker : Zeq I : Zeq2 : Zeq3 :8 reake

Bus Yeql Yeql Yeq2 Yeq

Fig.4 The equivalent circuit ofUHV transmission lines with SCs

According formula (5-7), the equivalent parameters (Zeql ,

Yeq], Zeq2, Yeq2, Zeq3, Yeq3) for three sections are calculated, and

the equivalent circuit is given in FigA.

y,. y,.

.Circuit :Breake

Fig.S The final simplified equivalent circuit of the whole UHV transmission lines with SCs

For the sake of convenience, the final simplified equivalent

circuit for the whole transmission line including three sections

is given in Fig.5. Actually, the n type equivalent circuit for the

whole transmission line is just the cascade connection of the n type equivalent circuits of three sections; therefore, the

transmission parameter matrix T for the whole HUV

transmission line is the product of the transmission parameter

matrices(T" T2, T3) for the three sections.

(8)

(9)

(10)

- [ ch(Y313) jZc3Sh(Y3/3)] T3 - j _l- sh(Y313) ch(Y3/3)

ZC3 (11)

Then, the procedure of the proposed algorithm is illustrated

below:

1) The transmission parameter matrix T for the whole HUV

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transmission line is calculated in terms of Eqs.(8)-( 11).

2) After T is obtained, the equivalent parameters (Zeq, Yeq) in

figA can be calculated according to formula (7).

3) The equivalent parameters (Zeq, Yeq) of the IT type

equivalent circuit for the whole transmission line are filled into

the commercial power flow software(such as PSD-BPA,

PSASP) to calculate the power flow of the grid which includes

the UHV transmission lines with SCs.

4) The voltage and the current of the terminal end of UHV

line with series capacitor are picked up in the power flow

calculation results, and are regarded as the terminal conditions.

It should be pointed out that the load of the terminal end of

UHV line is the sum of power flow through terminal end

circuit breaker and reactive power flow through terminal end

shunt reactor, and the terminal current can be calculated by

terminal load and terminal voltage easily.

5) According to the terminal conditions and Eqs. (4)-(5), the

transmission parameter matrices (T, T], T2, T3) are used to

calculate the voltage distribution along the line rapidly. T can

be used to verify the beginning end voltage, T], T2, T3 can be

used to obtain the voltage distribution along the line and the

boundary voltage of the three sections.

The advantage of the proposed algorithm is described below:

The voltage distribution along the line is obtained accurately

and conveniently; moreover, the reactive power supply

capacities of both sides of the UHV lines with SCs can be

taken into account, which implies that the engineering

applicability of the proposed algorithm is very strong.

IV. THE DISPOSITION SCHEME OF SERIES CAPACITORS

In this section, two problems are discussed and investigated.

One is the relative disposition scheme of UHV SCs and UHV

line SRs [101; the other is the centralized/distributed layout

scheme ofUHV SCs.

For the first problem, the relative disposition scheme of

UHV SCs and UHV line SRs is shown in Fig.6.

Circuit Capacitor Breaker

Bus Shunt Reactor

acitor

I

B""''' I

Bus

(a) (b)

Shunt Reactor

Fig.6 The relative disposition scheme ofUHV SCs and UHV line SRs

In Fig.6, the scheme (a) is called the 'shunt reactor at SC

bus side scheme' and the scheme (b) is called the 'shunt

reactor at SC line side scheme'.

It is well known, the inductive reactive power flow through

capacitors results in the voltage increase along the capacitors,

which is illustrated in Fig.7. The voltage across the terminals of capacitors is xci, where, Xc is the capacitor impedance

and i is the inductive current through capacitors (151.

Capacitor

;-1�2-L Xc·1

Fig.7 The scheme of inductive reactive power flow through capacitors resulting in the voltage increase along the capacitors

Thereby, the 'shunt reactor at SC line side scheme' is

incident to make the voltage of the point after capacitor U2 more higher, because the inductive reactive power needed by

the line shunt reactor have to flow through the capacitor in the

scheme. That is to say, the 'shunt reactor at SC line side

scheme' is not an appropriate way to suppress the steady

overvoltage of the transmission line with capacitors, but the

'shunt reactor at SC bus side scheme' is the right way.

It is also easy to find out that the distributed layout scheme

of SCs is better than the centralized layout scheme to suppress

the steady overvoltage, because the former means the smaller

capacitor impedance Xc.

According to the different disposition schemes of SCs, the

circuits of SCs and SRs shown in Fig.6 (a) and Fig.6 (b) can

be cascade connected to the left/right side of the IT type

equivalent model of the transmission line to form the new

equivalent network shown in Fig.8.

Zeqa Zeqb

Yeqal Yeqar

(a) (b)

Fig.8 The equivalent network for different disposition schemes of SCs

The transmission parameter matrix T for transmission line is

set as:

T= [� �] (12)

Then, the transmission parameter matrices Ta, Tb for the new

equivalent networks can be expressed as:

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T = [

1 a YR

[ A+XeC B+XeD] - YKA+C+YRXKC �IB+D+YRXeD

Ta = [I

+�:

Xe �e

I; �]

= [A +Y/lXeA +XeC B+�IXeB+XeD]

YRA +C YRB+ D

(13)

(14)

where, YR is the admittance of line shunt reactor, Xc is the

impedance of series capacitor.

In terms of Eq. (7) and Eq. (13), the new n type equivalent

parameters for scheme (a) are:

Zeqa = B+XeD

Y = YRB+D+YRXeD-1 eqal B+XeD

Y = A+XeC-1 eqar B + XeD

(15)

(16)

(17)

In terms of Eqs. (7) and (13), the new n type equivalent

parameters for scheme (b) are:

Zeqb = B+XeD+ YRXeB

Y = �IB+D-l eqbl B+XeD+YRXeB

Y = A+YRXeA+XeC-l eqbr B + X D + Y X B e R e

(18)

(19)

(20)

It can be seen from Eqs.(15)-(20) that Zeqb is less than Zeqa, Yeqbl+ Yeqbr is greater than Yeqal+ Yeqar. which means that the

reactive power demand of scheme (b) is smaller. Thereby the

terminal voltage of the equivalent network (b) is likely higher,

which makes the voltage of the point after capacitor in scheme

(b) higher.

Therefore, it can be concluded that the 'shunt reactor at SC

bus side' scheme and the centralized layout scheme of UHV

SCs are incident to suppress the fundamental frequency steady

overvoltage, compared with the 'shunt reactor at SC line side'

scheme and the distributed layout scheme of UHV SCs.

V. CASE STUDY

A. Wandian Dongsong HUV Transmission Project

The bulk power is delivered form Anhui province to

Shanghai and Zhejiang province via the Wand ian Dongsong

UHV transmission project shown in Fig.9. According to the

corresponding research (17).[18), the transmission active power

of 1000kV Huainan-Wannan double circuit line with SCs is

10000MW in 2012 planned grid. Under the operation mode, 8

sets and 16 sets of 21 OMvar low-voltage capacitors are put

into operation at Huainan 1000kV substation and Zhebei

1000kV substation respectively. PSD-BPA simulation tool is

applied to make further study from the perspective of power

system power flow and transient stability.

<aJ

(bJ

336km

<cJ

Fig.9 The scheme of Wand ian Dongsong UHV transmission line with SC

Three layout schemes for SCs and SRs which are illustrated

in Fig.9 are considered in the study: a. 40% SCs are installed

at Huainan side centrally, while SRs are installed at bus side; b.

40% SCs are installed at Huainan side cantrally, while SRs are

installed at line side; c. 20% SCs are installed at each side of

the line dispersedly, while SRs are installed at bus side. Table

I and Table II list the steady-state operation voltage of

Huainan-Wannan line under normal operation mode,

according to power flow calculation after the n type

equivalent parameters of transmission line with SCs are

obtained with the proposed method. TABLE. I

THE STEADY-STATE OPERATION VOLTAGE OF WAN DIAN DONGSONG UHV TRANSMISSION LINE WITH SC FOR LA YOUT SCHEME A) AND B)

Huainan Zhebei Layout

bus SC line Wannan bus

bus scheme side voltage voltage

voltage a \033.7 1054.3 978.0 b \037.1 1080.0 997.7

Where the unit of voltage is kV

TABLE. II

voltage 1014.4 1027.8

Huxi bus voltage

1033.4 1053.9

THE STEADY-STATE OPERATION VOLTAGE OF W AN DIAN DONGSONG UHV TRANSMISSION LINE WITH SC FOR LAYOUT SCHEME C1

Huainan Huainan Wannan Wannan Zhebei Huxi Layout bus

SC line SC line bus bus bus

scheme voltage side side voltage voltage voltage

voltage voltage c 1030.2 1039.7 983.9 990.3 1019.5 \035.4

Where the unit of voltage is kV

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For the above three schemes, when N-I contingency

happens to Huainan-Wannan line, the power system cannot

supply sufficient reactive power compensation due to heavy

power flow and enormous reactive power loss, so it is very

difficult to obtain the convergent power flow calculation result

after line N-I contingency. Adopting transient stability

calculation, the voltages at both bus sides and the load

condition of end of Huainan-Wannan line after N-I

contingency are obtained. Then, the voltage distribution along

the line for three schemes is obtained by the proposed

algorithm and is shown in Fig.10-12. The results reveal that

for scheme I and 2, the voltage of SC line side exceeds the

maximum system operation voltage [21]-[22] (lIOOkV) after N-I

contingency. Thereinto, the maximum voltage along the line is

l105kV for scheme a (shown in Fig. 10), and that is 1130kV

for scheme b (shown in Fig. II). While for scheme c, the

maximum voltage of along the line is 1054kV after line N-I

contingency, which is less than llOOkV (shown in Fig. 12).

Fig.IO The voltage distribution along the Huainan-Wannan line after line N-I contingency for scheme a

� t�"'j· .. ........ +. ; ...................... ,� ........... ...... , .......... " ; .......... .

Fig.11 The voltage distribution along the Huainan-Wannan line after line N-I contingency for scheme b

., .

_.r.-w_ .....

Fig.12 The voltage distribution along the Huainan-Wannan line after line N-I contingency for scheme c

It is evident that in heavy load mode, when SCs are

installed at one side centrally, the voltage of SC line side after

line N-I contingency will exceed 1100kV, whatever the SRs

are installed at SC bus side or at SC line side. Contrariwise, if

SCs are installed at both line sides dispersedly and SRs are

installed at SC bus side, the voltage of SC line side after line

N-I contingency will not exceed llOOkV. Therefore, it is

recommended that the SCs should be arranged in Huainan­

Wannan line dispersedly, and the SRs should beinstalled at SC

bus side. This is also identical with the EMTPE simulation

result.

B. Ximeng Waisong HUV Transmission Project

The bulk power is delivered form Inner Mongolia to

Beijing, Tianjin, Shandong province and East China via the

Ximeng Waisong UHV transmission project shown in Fig.12.

According to the corresponding research, the transmission

active power of 1000kV Ximeng-Beijingdong double circuit

line with SCs is 9000MW in 2012 planned grid. Under the

operation mode, 3 sets and 8 sets of 210Mvar low-voltage

capacitors are put into operation at Ximeng 1000kV substation

and Beijingdong 1000kV substation respectively. PSD-BPA

simulation tool is applied to make further study from the

perspective of power system power flow and transient stability.

The Ximeng-Beijingdong transmission line consists of 7

sections whose parameters per unit length/phase are not

identical.

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(0)

(b) Fig.8 The scheme ofXimeng Waisong UHV transmission line with SC

Two layout schemes for SCs and SRs which are illustrated

in Fig.8 are considered in the study: a. 40% SCs are installed

at Ximeng side centrally, while SRs are installed at bus side; b.

40% SCs are installed at the location which is 68km distant

from Ximeng substation cantrally, while SRs are installed at

bus side. Table III and Table IV list the steady-state operation

voltage of Ximeng-Beijingdong line under normal operation

mode and N-I contingency mode, according to power flow

calculation after the IT type equivalent parameters of

transmission line with SCs are obtained with the proposed

method. TABLE. III

THE STEADY-STATE OPERATION VOLTAGE OF XIMENG WAISONG UHV TRANSMISSION LINE WITH SC FOR LA YOUT SCHEME A)

Layout Operation Ximeng SC line Beijingdong Jinan bus side bus scheme mode

voltage voltage bus voltage

voltage a normal \071.0 1067.8 1034.3 1060.3 a N-I 1002.0 1126.2 954.7 1032.7

Where the unit of voltage is k V

TABLE. IV THE STEADY-STATE OPERATION VOLTAGE OF XIMENG WAISONG UHV

TRANSMISSION LINE WITH SC FOR LAYOUT SCHEME B}

Ximeng SC SC Jinan

Layout mode bus left right Beijingdong bus scheme voltage side side bus voltage

voltage voltage voltage

b normal 1064.0 1068.4 1066.8 1037.7 1061.5 b N- \ 1003.6 974.7 1060.2 963.2 1035.7

Where the unit of voltage is kV

The voltage distribution along the line for the two schemes

is obtained using the proposed algorithm and is shown in Fig.13-14. The results reveal that for scheme a, the voltage of

SC line side exceeds the maximum system operation voltage

(llOOkV) after N-I contingency, which is shown in Fig. 13.

While for scheme b, the maximum voltage of along the line is

1060.2 kV after line N-l contingency, which is less than

llOOkV (shown in Fig. 14).

--_.--.-........

Fig. 13 The voltage distribution along the Huainan-Wannan line after line N-I contingency for scheme 3

"-

Fig.14 The voltage distribution along the Huainan-Wannan line after line N- \ contingency for scheme 3

It is evident that in heavy load mode, for scheme a, the

voltage of SC line side after line N-I contingency will exceed

1100kV. Contrariwise, for scheme b, the voltage of SC right

side after line N-I contingency will not exceed 1100kV.

Therefore, it is recommended that the SCs should be installed

at the location which is 68km distant from Ximeng side, and

the SRs should be installed at bus side. This is also identical

with the EMTPE simulation result.

VI. CONCLUSION

In this paper, the transmission-line theory based fast

algorithm for voltage distribution along the line of the UHV

transmission lines with SCs is proposed. In the algorithm, the

voltage distribution along the line is obtained accurately;

moreover, the reactive power supply capacities of both sides of

the UHV lines with SCs can be taken into account, which

implies that the engineering applicability of the proposed

algorithm is very strong. At last, the relative disposition

scheme of UHV SCs and UHV line SRs as well as the

centralized/distribution layout scheme of UHV SCs are

investigated, and some useful conclusions are drawn. The

Page 7: 29.-_05666658

simulation of 'Wandian Dongsong' HUV transmission project

demonstrates the effectiveness of the proposed algorithm.

VII. REFERENCES

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the First Home-Made 220kV TCSC Equipment for Transmission line from Cheng County to Bikou in Gansu Province", Power System Technology, 2007, vol.3l, no.l, pp.51-55, Jan. 2007.

[2) Lin Jiming, Peng Baoshu, Guo Qiang, Gong Tiansen, Yin Yonghua. "Tian-Ping TCSC in China Southern Grid", International Electric Power for Chin, 2004, vol 8, no.5, pp. 48-51, Oct. 2004.

[3) Li Ye, Jing Wei, "Operation analysis on Extra-high Voltage Transmission Lines Series Capacitors", Power Capacitor, 2006, vol.4. pp.8-12.

[4) Lei Xianzhang, D.Povh, "Series Compensation For a Long Distance AC Transmission System", Power System Technology, voI.22, no. I I, pp.34-38, 41, Nov. 1998,

[5) Zhong Sheng, "Problems Caused By Adding Series Compensation Devices to The Transmission System and Their Solution", Power System Technology, voI.28, no.6, pp.26-30, Mar. 2004,

[6) Shu Yinbiao, "Research and Application for 1000kV AC UHV Power Transmission Technology", Power System Technology, voI.29, no.19, pp.I-6, Oct. 2005.

[7) Lin Jiming, Chen Zhenzhen, "Research and Development on Electric Electronic and FACTS Devices Digital Simulation Software Package", Electric Power, vol.37, no.l, pp.29-33, Jan.2004.

[8) Cao Xianglin, "Application of EMTP in the Research of UHV AC Power Transmission, High Voltage Engineering", vol.32, no.7, pp.32-36, July.2006.

[9) Chen Gesong, Lin Jiming, Guo Jianbo, Yu Youwen, Tu Shaoliang, Wang Shaode, Li Jun. "Overvoltage Protection for 500kV Series Compensation Station", Power System Technology, voI.25, no.2, pp.21-24, Feb.200I.

[10) Li Taijun, "Proper Choice for Layout Place of Series Compensation Device", Electric Power, voI.42, no.IO, pp.42-47, Oct.2009.

Books: [II) G P.M. Anderson, R.G. Farmer, "Series Compensation of Power

Systems", PBLSH Inc, USA, 1996. [I2) Power System Controllable Series Capacitor Compensation, Zhou

Xiaoxin, Guo Jianbo, Lin Jiming, Wu Shouyuan,Beijing, China, 2009, pp.221-230.

[13) Liu Zhenya, Ultra High Voltage Grid, Beijing, China, 2005. [14) Dommel H W., "EMTP Theory Book", Canada, 1986. [15) He Yangzan, Wen Zengyin, Power System Analysis, Wuhan, China,

pp.27, 2005.

Technical Reports: [16) Zheng Bin, Han Bin, "Study on Basic Design, Main Equipment

Specification, Overvoltage Protection Control and Electromagnetic Issues of Dehong-Boshang-Mojiang 500kV Series Compensation Project", China Electric Power Research Institute, Beijing, China, Apr.2009

[17) Lin Jiming, Ban Liangeng, Wang Xiaotong, Han Bin, "Overvoltage Insulation Cooperation Research on 1000kV UHV AC Double Circuit Transmission Lines", China Electric Power Research Institute, Beijing, China, Aug.2008

[18) Zheng Bin, Ban Liangeng, Xiang Zutao, Qin Xiaohui, "Electromagnetic Analysis on Huainan-Wannan UHV Double Circuit Series Capacitor Compensation Lines", China Electric Power Research Institute, Beijing, China, Mar.2010

Papers from Conference Proceedings (Published.): [19) Q.Bui-van, F.Gallon, "Long-Distance AC Power Transmission and

Shunt Series Compensation Overview and Experiences. ClGRE 2006, Paris.

[20) Roberto Campos, Per Lindberg, "Operational Experience of 800 kV Series Capacitors", Inaugural IEEE PES 2005 Conference and Exposition in Africa, Durban, South Africa, 11-15th, July.2005.

[21) Lin Jiming, Ban Liangeng, Wang Xiaogang, "Discussion About Electromagnetic Issues of China UHV System", UHV AC International Symposium. Beijing, China, 2005.

Standards: [22) Standard Guide Technique File of China, GB/Z 24842-2009,

"OvervoItage and Insulation Coordination of 1000kV UHV AC Transmission Project", Nov.2009

VIII. BIOGRAPHIES

Qin Xiaohui was born in Shanxi, China, in 1979. He received the Ph.D degree in power system and its automation from North China Electricity Power University, Beijing, China, in 2008. Currently, he is with Power Grid Planning Division, Power System Department, China Electric Power Research Institute. The key research area includes power system plan and operation, power system transient stability, W AMS and its application.

Shen Hong was born in Heilongjiang, China, in 197 I. He received the Ph.D degree in power system and its automation from China Electric Power Research Institute (CEPRI) in 2003. Currently ,he is director of Power Grid Planning Division in CEPRI, his research interests include power system analysis, power system planning, renewables integration etc.

Zhou Qinyong was born in Jiangsu Province, China, in 1977. He received the M.E. degree in power system and its automation from China Electric Power Resaerch Institute, Beijing, China, in 2003, Currently ,he is vice director of Power Grid Planning Division in CEPRI,The key research area includes power system plan and new technology application.

Guo Qiang was born in Shaanxi Province, China, in 1972. He received the Ph.D degree in power system and its automation from Xi'an Jiaotong Universuty in 1998. Currently, he is vice director of Power System Department in CEPR!. His research interests include power system analysis, power system planning and new technology application.

Zheng Bin was born in Hebei, China, in 1982. He received the M.E. degree in high voltage and insulation technology from North China Electricity Power University, Beijing, China, in 2006. Currently, he is with China Electric Power Research Institute as an engineer. The key research area is electromagnetic transient simulation for power system.

Xiang Zutao was born in China in 1976. He received bachelor and doctor degree from Tsinghua University in 1999 and 2005. He joined China Electric Power Research Institute as a member of the power system department in 2005 and worked in the field of electro-magnetic transients and overvoltage protection of power system

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Ban Liangeng was born in China in 1960. He received master degree from China Electric Power Research Institute in 1997. He is now professor in China Electric Power Research Institute and his area of interests is electro-magnetic transient analysis in power system.