2010 China International Conference on Electricity Distribution
Analysis of the 220kV line distance protection's measuring
impedance when V IX traction transformer is in short circuit
Tang Da-hail, Van Guo-ping2, Yi Xin2
I Zhenjiang Power Supply Company, Zhenjiang, Jiangsu, 212001;
2 Jiangsu Provincial Electric Power Company, Nanjing , Jiangsu, 210024
Abstract: Both of the traction transformers in the
Shanghai-Nanjing intercity railway and Beijing-Shanghai
high-speed railway connect two single-phase traction
transformers as V/X wiring to form a complete traction
transformer. One is operating, and the other one stand-by
for it. First, the thesis analyzes the low-voltage side short
current of V/V wiring traction transformer, and then
calculates the measuring impedance of the interphase and
grounding impedance components of 220kV distance
protection which is in power supply side substation.
Furthermore, it analyzes the measuring impedance of the
interphase and grounding impedance components in V/X
wiring traction transformer when its low-voltage side is in
short circuit. The conclusion has been tested to be correct
by simulation experiments. All of the analyses and
experiments indicate that 220kV line distance protection's
minimum measuring impedance in power supply side
substation is much smaller than the minimum measuring
impedance of regular transformer in grid when the short
circuit takes place in the low-voltage side of traction
transformer. So it should be paid attention to set
protection values to avoid setting mistakes. This
conclusion is also suitable for the V/X wiring traction
transformers which use llOkV and 220kV including the
above voltage grade railway power supply network. In
conclusion, the thesis puts forward some important
opinions which should be paid attention to setting 220kV
line distance protection. Type the abstract using Times
New Romar font with point size 9. The abstract is an
essential part of the paper. Use short, direct, and complete
sentences. It should be as brief as possible and concise. It
should be complete, self-explanatory, and not require
reference to the paper itself. The abstract should be
informative giving the scope and emphasize the main
conclusions, results, or significance of the work described.
Do not use the first person; do not include mathematical
expressions; do not refer to the reference, and try to avoid
acronyms.
Key
s: 220kV line distance protection; traction
transformer; V/X wiring; short circuit; measuring
impedance; analysis
Shanghai-nanjing intercity railway and
Beijing-Shanghai high-speed railway are constructing now.
The length of shanghai-nanjing intercity railway is
300.209km , and the traction power supply system adopts AT
mode. The supreme speed of the trains in this line is designed
to be 350km/h. In jiangsu Province, five 220kV traction
substations are built new, each traction substation's power is
supplied by two independently and reliable 220kV lines, both
hot stand-by for each other. That the traction transformers are
connected in V/X wiring has the advantages of saving space
and investment[5l. So all of the transformers In
shanghai-nanjing intercity railway and be�iing-shanghai
high-speed railway adopt V/X wiring. According to the design
which collocates four single-phase transformers for one
substation, two single-phase traction transformers connected
in V/X wiring to form a complete traction transformer for
operation, the other V IX wiring traction transformer is fixed
to stand-by. The two 220kV power supply lines collocate two
complete optical fibre split-phase current differential
protection and some back-up protections such as interphase
and grounding distance protection, zero-sequence current
protection and so on[1-3l. That adopting V/X wiring traction
transformers makes the load of 220kV power supply system
unbalanced. Other than the negative sequence current can
effect the distance protection in peacetime[6-7l, it can also
effect the measuring impedance and action characteristic of
220kV line distance protection in power supply side
substation when the low-voltage side of the V IX wiring
traction transformer is in short circuit. It is not same as short
circuit situations of regular transformer in grid. So we can not
2 2010 China International Conference on Electricity Distribution
set its protection values according to regular transformer
methods, otherwise the setting will be wrong. Due to the V/X
wiring is improved from V/V wiring, we first analyze the
short current when V/V wiring transformer’s low-voltage side
is in short circuit, and 220kV line distance protection’s
measuring impedance. Furthermore, we analyze 220kV line
distance protection’s measuring impedance when V/X wiring
transformer’s low-voltage side is in short circuit. All the
analysis can offer theoretical gist for the setting calculation of
relay protection.
1.Analysis of the short current of V/V wiring
traction transformer when its low-voltage side
is in short circuit
Due to the V/X wiring is improved from V/V wiring, we
first analyze the short current of V/V wiring traction
transformer and its influence to measuring impedance of line
distance protection.
Fig.1 shows the 220kV railway traction power supply
system which adopts V/V wiring transformer, and the 220kV
railway traction substation’s power is supplied by triphase
alternate current. The traction transformer is connected by
two single-phase traction transformers in V/V wiring to form
a complete traction transformer. The traction transformer’s b
phase of low-voltage side connects to rail, and a phase
connects to the load of up-train electrification locomotive, c
phase connects to the load of the down-train electrification
locomotive.
Figs. 1. Figure 1, V / V wiring diagram for railway traction
power supply system
Fig.2 shows the railway equivalent circuit diagram of
traction power supply system, all the parameters have
converted to high-voltage side of traction transformer. In the
diagram, is the positive sequence equivalent impedance
of system; is the positive sequence equivalent
impedance of line; is the positive sequence equivalent
impedance of monophase transformer (it has been converted
to the high-voltage side) . 、 、 is the electric
potential of the power; In the diagram, the part between
A'B'C' and abc is the equivalent circuit of the traction
transformer [4] .
xtZ
LZ
BZ
AE
.
BE
.
CE
.
Figure 2, V/V cable railway traction power supply system of
the equivalent circuit
1.1 Two-phase short circuit of V/V wiring
traction transformer’s low-voltage side
In Fig. 2, supposing the power system is symmetrical,
the equivalent impedances of system and the impedances of
line are symmetrical, those are as follows:
, thereinto, . Take
traction transformer’s ab phase short circuit of low-voltage
side for example, in the 220kV power supply line, those are as
follows: , , so 220kV line does not have
zero-sequence current. According to the loop voltage, these
can be concluded:
.
2
..
CBA EaEaE == °= 120jea
BA II
.. −= 0. =CI
( ) ( LxtBBLxtABA ZZIZZZIEE +−++=− .... ) (1) ( )
BLxt
j
A
BLxt
A
A
ZZZ
eE
ZZZ
aEI ++=++
−=
°
22
3
22
1 30
.
2
.
.
(2)
BLxt
j
A
B
ZZZ
eEI ++−=
°
22
3 30
.
.
(3)
Because neutral point’s potential of the power is 0, the
bus voltages of 220kV power supply substation are:
xtAAA ZIEU
... −=
( )[ ]
BLxt
j
BLxt
j
A
ZZZ
eZZjZeE
++
++−=
°−°
22
2 3030
.
(4)
xtBBB ZIEU
... −=
( )[ ]
BLxt
j
BLxt
j
A
ZZZ
eZZjZeE
++
++−=
°−°
22
2 15030
.
(5)
CxtCCC EZIEU
.... =−=
In the same way, the current in 220kV line and the bus
voltage of 220kV power supply transformer substation can be
deduced as table 1 and table 2, when the low-voltage’s bc
phase, ca phase of traction transformer is in short circuit.
2010 China International Conference on Electricity Distribution 3
Table I, VIV wiring short-circuit 220kV transformer low-voltage two-phase line current
ab phase shorts be phase shorts out ca phase shorts out out
IA
.J3
E A eOo
'
- J3 Ec e)lO°
2Zx1 + 2ZL + ZB
0 2ZXl + 2Z1. + 2Z
In
- .J3
E A e,jlOO
.J3 E j300
.) R
e 0 2Zxt + 2Z1. + ZR
2Z" + 2Z I. + Z R
Ie
J3EfJ e)lO°
J3 Ec eOoo
0 - 2ZXl + 2ZL + 2ZB 2ZXl +2Z1. +ZR
Table 2, V/V connection traction transformer substation low-voltage two-phase short-circuit power supply voltage on the 220kV
bus
UA UR U c
ab E eJ3o
' [- Z + (2Z + Z )e -J3Oo ] phase A ] xl I, n E eJ3o' [- jZ + (2Z + Z )e -)1500 ] A xl I. H
E c
2Z'1 +2ZI, +Zn 2Z'1 +2ZI. +ZR
be
phase
EA
j30° [. ( )e _)30' ] Ell e - JZxt + 2ZL +Zll E e)30' [- Z + (2Z + Z )e -)15O' ] R ] xl I. n
2Z" +2Zr. +ZR
2Z'1 + 2ZI. + Zn
ca
phase
E. e)30
' [- Z + (2Z + Z )e -)1500 ] ( ] xl I. R
2Z'1 + 2ZI, + 2Z R
1.2 Three-phase short circuit of VN wiring
traction transformer's low-voltage side
In Fig.2, supposing the power system is symmetrical too,
that is as follows: E A = a E B = a2 Ec ' thereinto,
120' a = e1 . According to the loop voltage, these can be
concluded:
1A (Zx, +Zr. +ZR )-lB (Zy, +Zr J =EA-Es (6)
Is (Zx, +Zr J-1c (Zxt +Zr. +ZR ) =Es-Ec (7)
1A+h+h =0 (8)
(9)
According to the (8) formula, when V IV wiring traction
transformer's low-voltage side is in three-phase short circuit,
220kV power supply line has no zero-sequence current.
According to the 3 equations (7), (8) and (10) equations, these
can be concluded:
1A =
EA [3 (Zxt+ZJ+ (1-a2 )Zs ]
(Zxt +ZL +ZJ(3Zxt +3ZL +ZJ
(2)
(11 )
ER
E.eilOO [_ jZ +(2Z +Z )e -JJOo ] C xt L H
2Zxt + 2ZL + 2ZB
Ie =
aEA [3 (Zxt +Zr J+ (l-a)ZR l (12) (Zxt + ZL + Zs )(3Zxt +3ZL + ZJ
Because neutral point's potential of the power is 0, the
bus voltages of 220kV power supply substation are:
UA = EA-IAZ,t
_
Ej3Zx, +ZH )(Zxt +ZI. +ZH )+ (2+a2 )ZHZJ
(3Xxt +3ZL +ZB )(Zxt +ZL +ZB )
(13 )
U H = E H -1H Z xl
EAa2 (3ZL +Zs )
3ZYt +3ZL + Zs
Uc = Ec-1c ZXI
( 14)
EA a[(3Zxt +ZB )(Zxt +ZL +ZB )+ (2+a)ZBZJ
(3Xx, +3ZI. +ZH )(Zxt +ZI. +ZH )
CIS)
2. Analysis of the measuring impedance when
V N wiring traction transformer is in short
circuit
2.1 Analysis of the measuring impedance
4 2010 China International Conference on Electricity Distribution
when VN wlrmg traction transformer is in
two-phase short circuit
In Fig. 2, according to the short current analysis
conclusion above, take ab phase short circuit for example to
analyze measuring impedance of 220kV power supply line
protection. According to the conclusion of table I and table2,
the AB phase measuring impedance of 220kV power supply
line protection can be deduced as follows:
Z = UA
-UR
AR
lA-h
1 A (z J + Z H) -1 H Z J.
21 A
( 16)
In the same way, measuring impedance of BC and CA are
as follows:
_
( )e/600 ' r::; Zsc - 2Zr. +Zs + J-v3Zx/ (17 )
(IS)
Using the same analysis method, according to the short
current analyzed in Table I, Table 2 above, the measuring
impedance of 220kV power supply line's grounding distance
protection can be deduced as follows:
VA
ZA= ----
IA+K3/o
=
�[- jZxt + (2ZL +ZB)e-i300]
Zs
= � [jZxt + (2ZL +ZS)e/30]
Zc = 00
([9)
(20)
Similarly, the measuring impedance of 220kV power
supply line's interphase and grounding distance protection
can be deduced as follows in table 3 when the line is in bc
phase or ca phase short circuit.
Table 3, V/V cable traction railway traction low-pressure side of two-phase short-circuit 220kV line impedance measurement of
distance protection
component
ZAS
Zsc:
ZCA
ZA
ZS
Zc:
ab-phase short circuit
ZL+ZsI2
( ) ;600 'J3 2ZI. + Z s e + J 3Zxt
(2ZL +ZS)e-
J600 - jJ3zxl
Z (2Z Z )e-;30O -Jxt+ L+B
J3
( )eJ30° jZxl + 2ZL + Zs
J3
00
bc -phase short circuit
(2Z L + Z B )e -J60° - jJ3z,1
Z;. +Zs 12
( )e 16OO 'J3 2ZL +Zs . + J 3ZxI
00
Z (2Z Z )e-.J3O° -J xl + L + S
J3
( )eJ300 jZ,t + 2Z L + Z B
J3
ca -phase short circuit
( )eJ600 J3 2ZL +2Zs + j 3ZxI
(2ZI. +2Zs)e-;60° - jJ3zxt
ZL +Zs
. ( ) ;300 JZ,t + 2ZL +2ZB e
J3
00
- jZ,t + (2ZL + 2Z B )e-J30O
J3
2.2 Analysis of the measuring impedance
when VN wiring traction transformer is in
three-phase short circuit
1 A(ZJ +ZH)-l H ZJ
lA-Is
In figure 2, according to the above analysis results about
short current, we analyze the action of 220kV power supply
line protection. According to the analysis of three-phase short
current, the AB phase measuring impedance of 220kV power
supply line protection can be deduced as follows:
Z
= __ R_+Z r
1-�
lA
(2[)
In the same way, measuring impedance of BC phase, CA
phase are as follows:
2010 China International Conference on Electricity Distribution 5
Z/lC (22)
Using the same analysis method, according to
three-phase short current analysis above. the A phase
measuring impedance of 220kY power supply line's
grounding distance protection can be deduced as follows:
UA
ZA= ----
I A+K3Io
EA-IAZYI
Z'I +Zr +ZR
-
-----''''--------'-'-2 ------''------ -Z xl
1-
a ZB
3ZxI +3Zr+ZR
(24)
Similarly, the B phase and C phase measuring impedance
can be deduced as follows:
Z B = Z L + Z B /3 (25 )
(Zxt +Zr. +ZR ) Zc = -'-----''-------''------''-'-- - Zxt
1- aZR
3ZxI +3Z r+ZR
2.3 Analysis of 220kV
protection's measuring impedance
(26)
line distance
That can be found out in Table 3, when ab phase or bc
phase short circuit takes place in low-voltage side of the
railway traction transformer, the distance measuring
impedance of 220kY line interphase distance protection is
always be Z L + Z B / 2, and it is the minimum value, the
other two interphase measuring impedances both are greater
than this value. When ca phase short circuit takes place in
low-voltage side of the railway traction transformer, the
distance measuring impedance of 220kY line interphase
distance protection is Z L + Z B ' and it also is the minimum
value, the other two interphase measuring impedances both
are greater than this value. Because the system impedance is
much less than ( 2Z I. + Z R ) when two phase short circuit
takes place in low-voltage side of the railway traction
transformer, the measuring impedance of 220kY line
grounding distance protection IS equal to the 2/.J3
minimum measuring impedance of interphase distance
protection, and it has a 30oexcursion angle.
Because (Z xl + Z L) is much smaller than Z B '
(Z xl + Z I. ) can be ignored, according to the formula (21 )
and (22) , AB phase and BC phase's minimum measuring
impedance are as follows:
ZB ZAR � 2 +Zr.
1- �
1- a
2
ZB +Z
1 - .J3e -JISO"
r
- J7
Z
j19.IC
Z -- Be + L 7
(27)
So when three-phase short circuit takes place in
low-voltage side of the railway traction transfonner, the two
measuring impedances of Z AB and Z Be both are greater
than(ZL +ZB/3) ,and close to the(ZL +ZB/3),but
less than (Z L + Z B) .
Because (Z xl + Z L ) IS much less than Z B '
(Z xl + Z L) can be ignored, according to the formula (23 )
and (25) , A phase and C phase's minimum measuring
impedance are as follows:
ZR
1 300
ZA�1_a
2+ZI.=
.J3
ZRe-J +ZI. (28)
(29)
Therefore, when three-phase short circuit takes place in
6 2010 China International Conference on Electricity Distribution
low-voltage side of the railway traction transfonner, the two
measuring impedances of Z A and Z c: both are greater
than (Z[" + Z HI 3) , and the other one Z H is equal
to(Z[ +ZH 13).
3. Analysis of the line distance protection's
measuring impedance when V IX wiring
traction transformer is in short circuit
3.1 Analysis of the V/X wiring traction
transformer's winding
Generally, there are two traction transformers in
intercity railway substation, one is used to supply power, and
the other one stand-by for it. Each transformer is made up of
two single-phase transformers connected in VIX wiring (Fig.
3). T and F of one single-phase transformer are connected to
up-trains and down-trains towards nanjing, T ' and F ' of the
other single-phase transformer are connected to up-trains and
down-trains towards shanghai. Each single-phase transformer
has one primary winding and two secondary windings, the
primary winding and the two secondary windings are
symmetrical in structure, the polarity of T and F are reverse.
The other head of the two windings are connected together to
the ground and the rail, so the parameters of the two windings
are symmetrical. The typical nameplate parameters of
single-phase voltage transformer are: DQY-40000/220, rate
capacity is 40/25/25 MVA, rate voltage is 220/2x27.5kV,
Wiring group is liOiO, short circuit impedance is
1O.38-1O.42%'
L....
Sl Gl
t--
I-
Figure 3, connection of V I X wiring traction transformer
diagram
3.2 Short circuit types of VI X wiring traction transformer
The main short circuit types of V IX wiring traction
transformer are as follows: (l) one secondary winding or
leading wire of the monophase transformer shorts out to
ground, this is the most common type; (2) two monophase
transformers both have one secondary winding or leading
wire shorts out to ground at the same time, but this type is
uncommon; (3) two secondary windings or leading wires of
one monophase transformer short out to ground at the same
time right C this type is short for monophase transformer short
circuit) , such as power lines which across over railway, or
communication lines break and drop on the traction line or on
the ground; (1) two secondary windings or leading wires of
the two monophase transformers all short out to ground in
C this type is short for all short circuit), this kind of situation
mainly takes place in that someone forgets to remove the
earth connecting line when the transformer inspection has
finished; (5) short circuit between two secondary windings or
leading wires in one monophase transformerC this type is short
for short circuit between the leading wires of monophase
transformer), such as power lines which across over railway,
or communication lines break and drop on the traction line,
but don't drop on the ground; (6) both of the two monophase
transformers short out between two secondary windings or
leading wires, this kind of short circuit is uncommon too.
3.2 Analysis of short circuit in V IX wiring
traction transformer
Analyzing short circuit type (l) and (2) of V/X wiring
traction transformer, the equivalent circuit shows in figure 2,
and the conclusion is similar to the VN wiring transformer.
Analyzing short circuit type (3) and (1) of VI X wiring traction
transformer, the equivalent circuit is also similar as figure 2
because winding parameters of each monophase transformer
are symmetrical, the only difference is that Z H is replaced
by Z� . And Z� = ZI + Z2 II Z3 (Z\, Z2' Z3 are the
equivalent impedance of monophase transformer's one
primary winding and two secondary windings which have
been converted to high-voltage side). So the analysis of V N
wiring transformer short circuit and measuring impedance of
220k V line distance protection are also applicable to V IX
wiring transformer system, the only difference is that Z B is
replaced by Z� . Analyzing short circuit type(5) and (6) of
V IX wiring traction transformer, the equivalent circuit is also
similar as figure 2 because winding parameters of each
monophase transformer are symmetrical, the only difference
is that Z H is replaced by Z� And
Z� = ZI + (Z2 + Z3) X 0.52 (two secondary windings is
connected in series, the voltage is 55kV, videlicet, the
per-unit value of single-ph