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International Refereed Journal of Engineering and Science (IRJES)
ISSN (Online) 2319-183X, (Print) 2319-1821
Volume 2, Issue 12 (December 2013), PP. 01-07

Compensation Strategies of Railway Power Conditioner
for Railway Traction Power Supply System
B.Srinivasa Rao1, Dr Narasmham. R.L2
1

(P.G Scholar, Electrical Power System, Teegala Krishna Reddy Engineering College, Hyderabad, INDIA)
2
(Professor & Dean, Research Planning &Development, Teegala Krishna Reddy Engineering College,
Hyderabad, INDIA)

Abstract:- By rapid development of high-speed locomotive load have some characteristics such as power
factor, low harmonic and high negative sequence component became major problem They are many methods
used to solve the above characteristics by connecting unbalanced load to high voltage terminals and FACTS
(Flexible AC Transmission System) devices .But they can’t adjust dynamically and its cost increases. The
Railway Power Conditioner (RPC) is efficient in negative sequence Compensation under unbalanced load
conditions and increasing the power factor. My works shows new railway negative unbalanced load system
based on multiple RPC compensation with using Proportional Integral Derivative (PID) to reduce the high
compensator capacity This work will be simulated in MATLAB Simulink and result are compared with the
values given in reference paper (with PI controller) in terms of Complex Power, High Negative sequence
component Including Harmonics and Power Factor.
Keywords:- Compensation, Negative Sequence Component, Harmonics.

I.

INTRODUCTION

As developing of high-speed railways in China and Japan, power quality has become a major problem
for power supply to locomotive loads [1]. For low speed locomotive load there is no problem of power factor
they runs at low speed, high-speed locomotive load has some problems, Such as big instantaneous power
supply, inducing the power factor, low harmonic components and high negative sequence component. To reduce
this problem a large amount of negative current is injected into traction lines [2], which causes serious problem
impact on power system, the dc series motor causes vibration and additional loss, they may causes the effect on
the transformers [3].These adverse impacts threaten the safety of high-speed railway traction supply system and
power system. Therefore, it’s necessary to take measures to suppress negative current. The above chararactrics
causes major problem for railway power supply to the locomotive loads to reduce all these problem, we are
improving the power factor [3],[4],[5],[9].in order to solve the issue of power quality. The negative current is
injected into the railways traction lines are as follows below:
(1) Connect unbalanced load to different supply terminals [3].
(2)Adopt phase sequence rotation to make unbalanced load distributed to each sequence reasonably [5].
(3) Connect unbalanced load to higher voltage level supply terminals.
(4)Use balanced transformers such as Scott transformer and impedance balance transformer [4].
The above all these methods are to matinee the power supply effects on railway traction line to
reducing unbalance conduction, but they are lack of flexibility and can't adjust dynamically. As technology
increases they are implemented many changes to improve the power factor such that.
A facts devices is used in present years, such as Static VAR Compensator (SVC), Active Power Filter
(APF) and Static Compensator (STATCOM) have become focus on power quality compensation of electrified
railway [5][6][7].For all the facts devices need high-voltage transformers which increase cost. Among all the
devices the APF is effective in suppressing harmonic currents in railway traction line to inject the negative
sequence compensation [8]. To decrease the cost by replacing the FACTS devices by three station RPC
compensator to improve the power factor.

II.

THREE STATION RPC AND ANALYSIS OF COMPENSATION.

In the Reference Paper [14] the author is explained how to make the 5-6 locomotive loads from
unbalance conduction to balanced conduction, with the help of PI controller. To improve power factor of
electrical locomotive must be closer to 1, In this paper.To improve the power factor a new device of with three
stations RPC with Proportional Integral Derivative (PID) controller technique is used to operate the breaker at
unbalanced conduction to make balanced conduction at 0.2sec,0.3sec,0.5sec.Reference [10] and [11] put

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Compensation Strategies of Railway Power Conditioner for Railway Traction Power Supply System
forward a proposal of Railway Power Conditioner (RPC), RPC can make comprehensive compensation of
negative sequence Components, harmonics and reactive power.

Fig1: A Simulation Diagram of Three Station RPC Compensation
In this above simulation diagram fig.1 the supplied power from generation station 220kV voltage is
stepped down into two single-phase power supply voltage in to range of 27.5kV by V/V transformer (Marked
in Above Fig 1 With Pink Color) connected one line to conductor another line to tracks of railway traction.
The three RPC1.RPC2, RPC3 is made of IGBT with diode connected back-to-back voltage source converters
(VSC) at both sides of dc capacitor to provide dc-link voltage stable. From two converters one can transfer
active power from one side arm and another one supply reactive power from second arm to reduce the harmonic
currents. From one RPC1 right feeder section in Fig.1 is denoted as a-phase power arm is connected from Phase
a conductor, similarly the left side is b-phase power arm is connected from Phase b connected Assume that the
fundamental current vector of a-phase power arm is IaL and the fundamental current vector of b-phase power
arm is IbL are shown as follows:
IaL=IaL* e-j3

(1)

.

I

IbL=IbL* e-j30

(2)

.

IB  I

A

.
I bL
K

.
I AL
K

 I





I AL  j 30
e
K

I bL  j 30
e
K

(3)
(4)

When unbalanced conduction RPC compensation, a-phase power arm has load current IaL and the b-

phase power arm has load current IbL so that the phase current I AL I BL To compensate the locomotive loads
from unbalanced conduction to balanced conduction. We arranged the breaker to compensate the effected line
with RPC.
1

To shift 2 ( I aL

 IbL ) from both phases-b. When the lines are compensated IaL, IbL to IAL, IBL and they

have equal amplitude 2 ( I aL  I bL ) and an angle difference of  3 .The unbalance level is 50% now. To make
the locomotive loads from unbalanced conduction to balanced conduction a negative current is injected from dc
capacitor from the both sides of transformer, A-phase current is Iacq,and simulary b-phase current is Ibcq
1

I acq  1 (I aL  I bL ) tan 30
2

(6)

I bcq  1 (I aL  I bL ) tan 30 .
2

(7)

In the below fig2 is the control block diagram of the three station RPC, here output 1 &2 are connected
to add when the traction is at unbalanced conduction the error value is of two o/p is added to the add that error
value is make product to the either sin terms or cosine terms it depend up on the error with the help of the
condoler

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Compensation Strategies of Railway Power Conditioner for Railway Traction Power Supply System

Out1

si n
Product

Add

Out2

Add2
wm

Subsystem2
It

Im
From

Id

From2
Iti nv

In1

From1

Product1
Iq

Add3

Add4

From3

Add6

Id

Im
Add5

PID

0

In1

From4

cos

Iq

Add7

Constant

Imi nv

Add1

Discrete
PID C ontroller

Rel ay

From5
Im
Id

From6

Out1 1

In1

Imi nv
From7

Iq

Add8
0

PID
Add9

Constant1

Discrete
PID C ontroller1

Fig2: Simulation diagram of three station control by PID controller
Since phase sequence rotation is widely adopted in traction power supply system, 3 stations
collaboration compensation is mainly discussed in this paper. The capacity in phase AB, BC and CD is x,y,z ,
which has a relationship of x>y>z. The network of AB, BC and CD can be divided into two parts, one network
is used to balanced the railway power supply Z, the other network is used to unbalanced the railway power
supply at conduction x-z, y-z, 0. Here X=x-y, Y=y-z, Z=0, the original network is simplified as 0, YX. Set X/2 as

Y  0. Y  Is varying from 0 to 2. The extreme
 =0. The optimize compensation strategy is shown below. The model of 3 station RPC structure is
Y

the reference value, the P.U. value of the simplified network is 2,

case is
shown in fig 1.To make balanced conduction active and reactive power injecting under unbalanced conduction.
Are shown in triangle diagram of phase-AC, phase-BC, and phase-AB. In below diagram . The arrow mark
diagram shows the active power (real part) and reactive power (imaginary part) to balance the railway power
supply. The network is based on the Steinmetz theory.

(a)Active power deliver

(b)Three phase power after active power
compensation based on Steinmetz theory

III.

(c) Reactive power

STEINMETZ THEORY

According to the Steinmetz theory, In Reference Paper [14] a and b values are take as 1/3 and we make
the breaker to operate at 0.5sec. In this paper the breaker is operated at 0.2sec, 0.3sec, 0.5sec.The fully
compensation should satisfy the relationship of b  c 

23a
3

. The capacity of three RPC is a 2  b2 , a 2  b 2 , c

separately. The installed capacity will be the maximum of the three RPC capacities above. So we can obtain the
1

minimum installed capacity when. a 2  b2 =c.The results can be conducted that a= 1 , b= 3 4 and the minimum
4
capacity is Smin  a  b2 =c, S 
min
2

1

4

 13

=c. This is a fully compensation but the station where RPC2
4

installed is capacitive. To avoid this condition, RPC1 supply inductive reactive power with the value of b, and
RPC2 supply capacitive reactive power with the value of b, too. So the capacitive condition is avoided and the
system keeps balance at the same time.

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Compensation Strategies of Railway Power Conditioner for Railway Traction Power Supply System

Fig3. Working condition of three stations injecting active power and reactive power.
The two strategies. Smin 

 13

.Which is 2/3 of the capacity of single RPC compensation.
4
Set three station collaboration compensation for example. Fig 1. Shows the schematic diagram of three station
collaboration compensation. Three typical conditions are taken in to consideration.
1

4

The simulation parameters are the same as single station compensation. Simulation results are shown in
Figure 8(a) shows the waveform when they are at unbalanced and balanced conduction or before and after
compensation when the unbalanced conduction occur

Y  0 : 2)0  Y 

2
2
: 3)  Y  1
3
3

When the maximum locomotive load appears at the Phase-AC at the condition of Y=0. The situation
before compensation is almost the same as single station compensation, except for that the load is twice as much
as single station locomotive load. With the use of compensator, the unbalance level was changed from3.53 to
3.29 .Fig.8 (b) is the waveform when 0<Y<23 , appears at Phase AB. Compensator was put into operation at
0.5s.
The unbalance level was reduced from 0.34 to 0.47. The waveform when 23<Y<1is shown in Fig 8
(c). The unbalance level was reduced from 4.19 to 3.81. It can be seen from the simulation that there is a serious
unbalanced condition before the compensation. The collaboration compensation network is effective in reducing
the negative current (the unbalance level is reduced below 0.4. The error may come from the loss of power
electronic components and isolation transformers. The unbalance level before and after the compensation is
listed in

IV.

COMPARING THE SIMULATION RESULTS OF PI AND PID CONTROLLER

(i)Reference Paper Shown In PI Controller(Y=0)

(ii)Results with PID Controller(Y=0)

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Compensation Strategies of Railway Power Conditioner for Railway Traction Power Supply System

(iii) THD Value For Reference Paper

(iv) THD Value For PID Controller
8(a) Current of tractive transformer high voltage side(Y=0)
From above simulation waveform (i) are the reference paper [14] results, these results are at ,when the breaker
is operated at 0.5 sec and THD values are absorbed in waveform (iii).All these THD values(iv) and simulation
wave (ii)form are compared with PID controller to make the traction line from unbalanced conduction to
balanced conduction. So, by PID controller the breaker will operate faster at less time at Y=0 conduction.

(i)Reference Paper Shown In PI Controller (0<Y<23)

(ii)Results with PID Controller (0<Y<23)

(iii) THD Value For Reference paper
(iv) THD Value For PID Controller
8(b) Current of tractive transformer high voltage side (0<Y<23)
From above simulation waveform (i) are the reference paper [14] results, these results are at ,when the
breaker is operated at 0.5 sec and THD values are absorbed in waveform (iii).All these THD values(iv) and
simulation wave (ii)form are compared with PID controller to make the traction line from unbalanced
conduction to balanced conduction. So, by PID controller the breaker will operate faster at less time at 0<Y<2/3
conduction.

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Compensation Strategies of Railway Power Conditioner for Railway Traction Power Supply System

(iii)Reference Paper Shown In PI Controller (0<Y=1)

(iv) Results with PID Controller (0<Y<23)

(iii) THD Value For Reference paper
(iv) THD Value For PID Controller
8(c) Current of tractive transformer high voltage side( 23<Y<1)
From above simulation waveform (i) are the reference paper [14] results, these results are at ,when the
breaker is operated at 0.5 sec and THD values are absorbed in waveform (iii).All these THD values(iv) and
simulation wave (ii)form are compared with PID controller to make the traction line from unbalanced
conduction to balanced conduction. So, by PID controller the breaker will operate faster at less time at 2/3<Y=1
conduction
In the below table the three cycles of the THD values are compared with the reference paper with PI
controller. In cycles 1 it has three signals, in signal 1 the PID controller is compensated the THD value from
3.53% to 3.29% similar the signal 2 and signal 3 are compensated the THD value from 0.34% to 0.47% and
4.19% to 3.81% to make the unbalanced conduction to balanced conduction when the breaker is operated at
0.5sec.
In cycles 2 it has three signals, in signal 1 the PID controller is compensated the THD value from
1.74%to 1.65% similar the signal 2 and signal 3 are compensated the THD value from 0.20% to 0.24% and
2.10% to 1.91% to make the unbalanced conduction to balanced conduction when the breaker is operated at
0.5sec.
TOTAL HORMONIC
DISTORSTION(0.5Sec)
1SNO
CONTROLLER
PI
PID
Total
1
2
3

CYCLE 1

signal 1
signal 2
signal 3

3.53%
0.34%
4.19%

3.29%
0.47%
3.81%

-0.24%
0.13%
-0.38%

1
2
3

CYCLE 2

signal 1
signal 2
signal 3

1.74%
0.20%
2.10%

1.65%
0.24%
1.91%

-0.09%
0.04%
-0.19%

1
2

CYCLE 3

signal 1
signal 2

1.16%
0.12%

1.09%
0.17%

-0.07%
0.05%

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Compensation Strategies of Railway Power Conditioner for Railway Traction Power Supply System
3

signal 3

1.40%

1.27%

-0.13%

TABLE1:-Compression of THD Values With PI and PID Controller
In cycles 3 it has three signals, in signal 1 the PID controller is compensated the THD value from
1.16% to 1.09% similar the signal 2 and signal 3 are compensated the THD value from 0.12% to 0.17% and
1.40% to 1.27% to make the unbalanced conduction to balanced conduction when the breaker is operated at
0.5sec.

V.

CONCLUSION

This work simulated in Matlab Simulink and results are compared with the reference Paper [PI
Controller] and PID Controller and the Total Harmonic Distraction (THD) with three different cycles values
are observed in the given table to make unbalanced conduction to balanced conduction ,when the breaker is
operated is at 0.5sec to reduce the Complex Power, High Negative Sequence Component including Harmonics
and Power Factor with PID controller .

REFERENCE
[1].

[2].
[3].
[4].
[5].

[6].
[7].
[8].
[9].
[10].
[11].
[12].

[13].

[14].

X. Huang, L. Zhang, M He, X.You, and Q. Zheng, "Power electronics used in Chinese electrical
locomotives", in Proc. IEEE 6th Int. Conf. Power Electron. Motion Control, pp.1196-1200,May,
2009
S. L. Chen, R. J. Li, and P. H. Hsi, “Traction system unbalance problem-analysis methodologies,”
IEEE Trans. Power Del, vol. 19, no. 4,pp. 1877–1883, Oct. 2004.
B.Wang, X. Z. Dong, Z. Q. Bo, and A. Klimek, “Negativesequencepilot protection with applications in
open-phasetransmission lines,” IEEE Trans. Power Del., vol. 25, no. 3, pp.1306–1313, Jul. 2010.
Z.W. Zhang, B.Wu, J. S. Kang, and L. F. Luo, “A multi-purpose balanced transformer for railway
traction applications,” IEEE Trans. Power Del.,vol. 24, no. 2, pp. 711–718, Apr. 2009.
P.-C. Tan, P. C. Loh, and D. G. Holmes, “A robust multilevel hybrid compensation system for 25-kV
electrified railway applications,” IEEE Trans. Power Electron., vol. 19, no. 4, pp. 735 1043–1052, Jul.
2004.
H. L. Ginn and G. Chen, “Flexible active compensator control for variable compensation objectives,”
IEEE Trans. Power Electron., vol. 23, no. 6, pp. 2931–2941, Nov. 2008.
M. Jianzong,W.Mingli, and Y. Shaobing, “The application of SVC for the power quality control of
electric railways,” in Proc. Int. Conf. Sustainable Power Gener. Supply, pp. 1–4,2009.
A. Luo, Z. K. Shuai, W. J. Zhu, and Z. J. Shen, “Combined system for harmonic suppression and
reactive power compensation,” IEEE Trans.Ind. Electron., vol. 56, no. 2, pp. 418–518, Feb. 2009.
Zhuo Sun, Xinjian Jiang, Dongqi Zhu, et al. “A novel active power quality compensator topology for
electrified railway,” IEEE Trans. On Power Electron., vol.19, pp. 1036-1042, July,2004.
Uzuka T,Ikedo S,Ueda K.A static voltage fluctuation compensator for AC electric
railway[C].PowerelectronicsSpecialists Conference , Aachen ,German, pp. 1869–1873,2004.
Morimoto H, Ando M, Mochinaga Y, et al. "Development of railway static power conditioner used at
substation for Shinkansen,"[C]. Power Conversion Conference, Osaka, Japan ,pp. 1108–1111, 2002.
Luo An,Fujun Ma,Chuanping Wu,Shi Qi Ding,"A dualloop control strategy of railway static
power regulator under V/V electric tranction system,"IEEE Trans. Power Electron.,vol. 26, pp. 20792090, 2011.
Lu Fang, An Luo, Xiaoyong Xu, Houhui Fang,"A novel power quality compensator for negativesequence and harmonic currents in high-speed electric railway, "Power and Energy Engineering
Conference (APPEEC),pp. 1-5,
A Novel Collaboration Compensation Strategy of Railway Power Conditioner for a High-Speed
Railway Traction Power Supply System Chenmeng Zhang(Student), Baichao Chen, Chao Cai,
Mengkui Yue, Cuihua Tian, Bo Chen, Jiaxin Yuan*(*Corresponding Author) Wuhan
UniversityWuhan, Hubei, China Jiabin JiaUniversity of LeedsLeeds, UK

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International Refereed Journal of Engineering and Science (IRJES)

  • 1. International Refereed Journal of Engineering and Science (IRJES) ISSN (Online) 2319-183X, (Print) 2319-1821 Volume 2, Issue 12 (December 2013), PP. 01-07 Compensation Strategies of Railway Power Conditioner for Railway Traction Power Supply System B.Srinivasa Rao1, Dr Narasmham. R.L2 1 (P.G Scholar, Electrical Power System, Teegala Krishna Reddy Engineering College, Hyderabad, INDIA) 2 (Professor & Dean, Research Planning &Development, Teegala Krishna Reddy Engineering College, Hyderabad, INDIA) Abstract:- By rapid development of high-speed locomotive load have some characteristics such as power factor, low harmonic and high negative sequence component became major problem They are many methods used to solve the above characteristics by connecting unbalanced load to high voltage terminals and FACTS (Flexible AC Transmission System) devices .But they can’t adjust dynamically and its cost increases. The Railway Power Conditioner (RPC) is efficient in negative sequence Compensation under unbalanced load conditions and increasing the power factor. My works shows new railway negative unbalanced load system based on multiple RPC compensation with using Proportional Integral Derivative (PID) to reduce the high compensator capacity This work will be simulated in MATLAB Simulink and result are compared with the values given in reference paper (with PI controller) in terms of Complex Power, High Negative sequence component Including Harmonics and Power Factor. Keywords:- Compensation, Negative Sequence Component, Harmonics. I. INTRODUCTION As developing of high-speed railways in China and Japan, power quality has become a major problem for power supply to locomotive loads [1]. For low speed locomotive load there is no problem of power factor they runs at low speed, high-speed locomotive load has some problems, Such as big instantaneous power supply, inducing the power factor, low harmonic components and high negative sequence component. To reduce this problem a large amount of negative current is injected into traction lines [2], which causes serious problem impact on power system, the dc series motor causes vibration and additional loss, they may causes the effect on the transformers [3].These adverse impacts threaten the safety of high-speed railway traction supply system and power system. Therefore, it’s necessary to take measures to suppress negative current. The above chararactrics causes major problem for railway power supply to the locomotive loads to reduce all these problem, we are improving the power factor [3],[4],[5],[9].in order to solve the issue of power quality. The negative current is injected into the railways traction lines are as follows below: (1) Connect unbalanced load to different supply terminals [3]. (2)Adopt phase sequence rotation to make unbalanced load distributed to each sequence reasonably [5]. (3) Connect unbalanced load to higher voltage level supply terminals. (4)Use balanced transformers such as Scott transformer and impedance balance transformer [4]. The above all these methods are to matinee the power supply effects on railway traction line to reducing unbalance conduction, but they are lack of flexibility and can't adjust dynamically. As technology increases they are implemented many changes to improve the power factor such that. A facts devices is used in present years, such as Static VAR Compensator (SVC), Active Power Filter (APF) and Static Compensator (STATCOM) have become focus on power quality compensation of electrified railway [5][6][7].For all the facts devices need high-voltage transformers which increase cost. Among all the devices the APF is effective in suppressing harmonic currents in railway traction line to inject the negative sequence compensation [8]. To decrease the cost by replacing the FACTS devices by three station RPC compensator to improve the power factor. II. THREE STATION RPC AND ANALYSIS OF COMPENSATION. In the Reference Paper [14] the author is explained how to make the 5-6 locomotive loads from unbalance conduction to balanced conduction, with the help of PI controller. To improve power factor of electrical locomotive must be closer to 1, In this paper.To improve the power factor a new device of with three stations RPC with Proportional Integral Derivative (PID) controller technique is used to operate the breaker at unbalanced conduction to make balanced conduction at 0.2sec,0.3sec,0.5sec.Reference [10] and [11] put www.irjes.com 1 | Page
  • 2. Compensation Strategies of Railway Power Conditioner for Railway Traction Power Supply System forward a proposal of Railway Power Conditioner (RPC), RPC can make comprehensive compensation of negative sequence Components, harmonics and reactive power. Fig1: A Simulation Diagram of Three Station RPC Compensation In this above simulation diagram fig.1 the supplied power from generation station 220kV voltage is stepped down into two single-phase power supply voltage in to range of 27.5kV by V/V transformer (Marked in Above Fig 1 With Pink Color) connected one line to conductor another line to tracks of railway traction. The three RPC1.RPC2, RPC3 is made of IGBT with diode connected back-to-back voltage source converters (VSC) at both sides of dc capacitor to provide dc-link voltage stable. From two converters one can transfer active power from one side arm and another one supply reactive power from second arm to reduce the harmonic currents. From one RPC1 right feeder section in Fig.1 is denoted as a-phase power arm is connected from Phase a conductor, similarly the left side is b-phase power arm is connected from Phase b connected Assume that the fundamental current vector of a-phase power arm is IaL and the fundamental current vector of b-phase power arm is IbL are shown as follows: IaL=IaL* e-j3 (1) . I IbL=IbL* e-j30 (2) . IB  I A . I bL K . I AL K  I   I AL  j 30 e K I bL  j 30 e K (3) (4) When unbalanced conduction RPC compensation, a-phase power arm has load current IaL and the b- phase power arm has load current IbL so that the phase current I AL I BL To compensate the locomotive loads from unbalanced conduction to balanced conduction. We arranged the breaker to compensate the effected line with RPC. 1 To shift 2 ( I aL  IbL ) from both phases-b. When the lines are compensated IaL, IbL to IAL, IBL and they have equal amplitude 2 ( I aL  I bL ) and an angle difference of  3 .The unbalance level is 50% now. To make the locomotive loads from unbalanced conduction to balanced conduction a negative current is injected from dc capacitor from the both sides of transformer, A-phase current is Iacq,and simulary b-phase current is Ibcq 1 I acq  1 (I aL  I bL ) tan 30 2 (6) I bcq  1 (I aL  I bL ) tan 30 . 2 (7) In the below fig2 is the control block diagram of the three station RPC, here output 1 &2 are connected to add when the traction is at unbalanced conduction the error value is of two o/p is added to the add that error value is make product to the either sin terms or cosine terms it depend up on the error with the help of the condoler www.irjes.com 2 | Page
  • 3. Compensation Strategies of Railway Power Conditioner for Railway Traction Power Supply System Out1 si n Product Add Out2 Add2 wm Subsystem2 It Im From Id From2 Iti nv In1 From1 Product1 Iq Add3 Add4 From3 Add6 Id Im Add5 PID 0 In1 From4 cos Iq Add7 Constant Imi nv Add1 Discrete PID C ontroller Rel ay From5 Im Id From6 Out1 1 In1 Imi nv From7 Iq Add8 0 PID Add9 Constant1 Discrete PID C ontroller1 Fig2: Simulation diagram of three station control by PID controller Since phase sequence rotation is widely adopted in traction power supply system, 3 stations collaboration compensation is mainly discussed in this paper. The capacity in phase AB, BC and CD is x,y,z , which has a relationship of x>y>z. The network of AB, BC and CD can be divided into two parts, one network is used to balanced the railway power supply Z, the other network is used to unbalanced the railway power supply at conduction x-z, y-z, 0. Here X=x-y, Y=y-z, Z=0, the original network is simplified as 0, YX. Set X/2 as Y  0. Y  Is varying from 0 to 2. The extreme  =0. The optimize compensation strategy is shown below. The model of 3 station RPC structure is Y the reference value, the P.U. value of the simplified network is 2, case is shown in fig 1.To make balanced conduction active and reactive power injecting under unbalanced conduction. Are shown in triangle diagram of phase-AC, phase-BC, and phase-AB. In below diagram . The arrow mark diagram shows the active power (real part) and reactive power (imaginary part) to balance the railway power supply. The network is based on the Steinmetz theory. (a)Active power deliver (b)Three phase power after active power compensation based on Steinmetz theory III. (c) Reactive power STEINMETZ THEORY According to the Steinmetz theory, In Reference Paper [14] a and b values are take as 1/3 and we make the breaker to operate at 0.5sec. In this paper the breaker is operated at 0.2sec, 0.3sec, 0.5sec.The fully compensation should satisfy the relationship of b  c  23a 3 . The capacity of three RPC is a 2  b2 , a 2  b 2 , c separately. The installed capacity will be the maximum of the three RPC capacities above. So we can obtain the 1 minimum installed capacity when. a 2  b2 =c.The results can be conducted that a= 1 , b= 3 4 and the minimum 4 capacity is Smin  a  b2 =c, S  min 2 1 4  13 =c. This is a fully compensation but the station where RPC2 4 installed is capacitive. To avoid this condition, RPC1 supply inductive reactive power with the value of b, and RPC2 supply capacitive reactive power with the value of b, too. So the capacitive condition is avoided and the system keeps balance at the same time. www.irjes.com 3 | Page
  • 4. Compensation Strategies of Railway Power Conditioner for Railway Traction Power Supply System Fig3. Working condition of three stations injecting active power and reactive power. The two strategies. Smin   13 .Which is 2/3 of the capacity of single RPC compensation. 4 Set three station collaboration compensation for example. Fig 1. Shows the schematic diagram of three station collaboration compensation. Three typical conditions are taken in to consideration. 1 4 The simulation parameters are the same as single station compensation. Simulation results are shown in Figure 8(a) shows the waveform when they are at unbalanced and balanced conduction or before and after compensation when the unbalanced conduction occur Y  0 : 2)0  Y  2 2 : 3)  Y  1 3 3 When the maximum locomotive load appears at the Phase-AC at the condition of Y=0. The situation before compensation is almost the same as single station compensation, except for that the load is twice as much as single station locomotive load. With the use of compensator, the unbalance level was changed from3.53 to 3.29 .Fig.8 (b) is the waveform when 0<Y<23 , appears at Phase AB. Compensator was put into operation at 0.5s. The unbalance level was reduced from 0.34 to 0.47. The waveform when 23<Y<1is shown in Fig 8 (c). The unbalance level was reduced from 4.19 to 3.81. It can be seen from the simulation that there is a serious unbalanced condition before the compensation. The collaboration compensation network is effective in reducing the negative current (the unbalance level is reduced below 0.4. The error may come from the loss of power electronic components and isolation transformers. The unbalance level before and after the compensation is listed in IV. COMPARING THE SIMULATION RESULTS OF PI AND PID CONTROLLER (i)Reference Paper Shown In PI Controller(Y=0) (ii)Results with PID Controller(Y=0) www.irjes.com 4 | Page
  • 5. Compensation Strategies of Railway Power Conditioner for Railway Traction Power Supply System (iii) THD Value For Reference Paper (iv) THD Value For PID Controller 8(a) Current of tractive transformer high voltage side(Y=0) From above simulation waveform (i) are the reference paper [14] results, these results are at ,when the breaker is operated at 0.5 sec and THD values are absorbed in waveform (iii).All these THD values(iv) and simulation wave (ii)form are compared with PID controller to make the traction line from unbalanced conduction to balanced conduction. So, by PID controller the breaker will operate faster at less time at Y=0 conduction. (i)Reference Paper Shown In PI Controller (0<Y<23) (ii)Results with PID Controller (0<Y<23) (iii) THD Value For Reference paper (iv) THD Value For PID Controller 8(b) Current of tractive transformer high voltage side (0<Y<23) From above simulation waveform (i) are the reference paper [14] results, these results are at ,when the breaker is operated at 0.5 sec and THD values are absorbed in waveform (iii).All these THD values(iv) and simulation wave (ii)form are compared with PID controller to make the traction line from unbalanced conduction to balanced conduction. So, by PID controller the breaker will operate faster at less time at 0<Y<2/3 conduction. www.irjes.com 5 | Page
  • 6. Compensation Strategies of Railway Power Conditioner for Railway Traction Power Supply System (iii)Reference Paper Shown In PI Controller (0<Y=1) (iv) Results with PID Controller (0<Y<23) (iii) THD Value For Reference paper (iv) THD Value For PID Controller 8(c) Current of tractive transformer high voltage side( 23<Y<1) From above simulation waveform (i) are the reference paper [14] results, these results are at ,when the breaker is operated at 0.5 sec and THD values are absorbed in waveform (iii).All these THD values(iv) and simulation wave (ii)form are compared with PID controller to make the traction line from unbalanced conduction to balanced conduction. So, by PID controller the breaker will operate faster at less time at 2/3<Y=1 conduction In the below table the three cycles of the THD values are compared with the reference paper with PI controller. In cycles 1 it has three signals, in signal 1 the PID controller is compensated the THD value from 3.53% to 3.29% similar the signal 2 and signal 3 are compensated the THD value from 0.34% to 0.47% and 4.19% to 3.81% to make the unbalanced conduction to balanced conduction when the breaker is operated at 0.5sec. In cycles 2 it has three signals, in signal 1 the PID controller is compensated the THD value from 1.74%to 1.65% similar the signal 2 and signal 3 are compensated the THD value from 0.20% to 0.24% and 2.10% to 1.91% to make the unbalanced conduction to balanced conduction when the breaker is operated at 0.5sec. TOTAL HORMONIC DISTORSTION(0.5Sec) 1SNO CONTROLLER PI PID Total 1 2 3 CYCLE 1 signal 1 signal 2 signal 3 3.53% 0.34% 4.19% 3.29% 0.47% 3.81% -0.24% 0.13% -0.38% 1 2 3 CYCLE 2 signal 1 signal 2 signal 3 1.74% 0.20% 2.10% 1.65% 0.24% 1.91% -0.09% 0.04% -0.19% 1 2 CYCLE 3 signal 1 signal 2 1.16% 0.12% 1.09% 0.17% -0.07% 0.05% www.irjes.com 6 | Page
  • 7. Compensation Strategies of Railway Power Conditioner for Railway Traction Power Supply System 3 signal 3 1.40% 1.27% -0.13% TABLE1:-Compression of THD Values With PI and PID Controller In cycles 3 it has three signals, in signal 1 the PID controller is compensated the THD value from 1.16% to 1.09% similar the signal 2 and signal 3 are compensated the THD value from 0.12% to 0.17% and 1.40% to 1.27% to make the unbalanced conduction to balanced conduction when the breaker is operated at 0.5sec. V. CONCLUSION This work simulated in Matlab Simulink and results are compared with the reference Paper [PI Controller] and PID Controller and the Total Harmonic Distraction (THD) with three different cycles values are observed in the given table to make unbalanced conduction to balanced conduction ,when the breaker is operated is at 0.5sec to reduce the Complex Power, High Negative Sequence Component including Harmonics and Power Factor with PID controller . REFERENCE [1]. [2]. [3]. [4]. [5]. [6]. [7]. [8]. [9]. [10]. [11]. [12]. [13]. [14]. X. Huang, L. Zhang, M He, X.You, and Q. Zheng, "Power electronics used in Chinese electrical locomotives", in Proc. IEEE 6th Int. Conf. Power Electron. Motion Control, pp.1196-1200,May, 2009 S. L. Chen, R. J. Li, and P. H. Hsi, “Traction system unbalance problem-analysis methodologies,” IEEE Trans. Power Del, vol. 19, no. 4,pp. 1877–1883, Oct. 2004. B.Wang, X. Z. Dong, Z. Q. Bo, and A. Klimek, “Negativesequencepilot protection with applications in open-phasetransmission lines,” IEEE Trans. Power Del., vol. 25, no. 3, pp.1306–1313, Jul. 2010. Z.W. Zhang, B.Wu, J. S. Kang, and L. F. Luo, “A multi-purpose balanced transformer for railway traction applications,” IEEE Trans. Power Del.,vol. 24, no. 2, pp. 711–718, Apr. 2009. P.-C. Tan, P. C. Loh, and D. G. Holmes, “A robust multilevel hybrid compensation system for 25-kV electrified railway applications,” IEEE Trans. Power Electron., vol. 19, no. 4, pp. 735 1043–1052, Jul. 2004. H. L. Ginn and G. Chen, “Flexible active compensator control for variable compensation objectives,” IEEE Trans. Power Electron., vol. 23, no. 6, pp. 2931–2941, Nov. 2008. M. Jianzong,W.Mingli, and Y. Shaobing, “The application of SVC for the power quality control of electric railways,” in Proc. Int. Conf. Sustainable Power Gener. Supply, pp. 1–4,2009. A. Luo, Z. K. Shuai, W. J. Zhu, and Z. J. Shen, “Combined system for harmonic suppression and reactive power compensation,” IEEE Trans.Ind. Electron., vol. 56, no. 2, pp. 418–518, Feb. 2009. Zhuo Sun, Xinjian Jiang, Dongqi Zhu, et al. “A novel active power quality compensator topology for electrified railway,” IEEE Trans. On Power Electron., vol.19, pp. 1036-1042, July,2004. Uzuka T,Ikedo S,Ueda K.A static voltage fluctuation compensator for AC electric railway[C].PowerelectronicsSpecialists Conference , Aachen ,German, pp. 1869–1873,2004. Morimoto H, Ando M, Mochinaga Y, et al. "Development of railway static power conditioner used at substation for Shinkansen,"[C]. Power Conversion Conference, Osaka, Japan ,pp. 1108–1111, 2002. Luo An,Fujun Ma,Chuanping Wu,Shi Qi Ding,"A dualloop control strategy of railway static power regulator under V/V electric tranction system,"IEEE Trans. Power Electron.,vol. 26, pp. 20792090, 2011. Lu Fang, An Luo, Xiaoyong Xu, Houhui Fang,"A novel power quality compensator for negativesequence and harmonic currents in high-speed electric railway, "Power and Energy Engineering Conference (APPEEC),pp. 1-5, A Novel Collaboration Compensation Strategy of Railway Power Conditioner for a High-Speed Railway Traction Power Supply System Chenmeng Zhang(Student), Baichao Chen, Chao Cai, Mengkui Yue, Cuihua Tian, Bo Chen, Jiaxin Yuan*(*Corresponding Author) Wuhan UniversityWuhan, Hubei, China Jiabin JiaUniversity of LeedsLeeds, UK www.irjes.com 7 | Page