ABB RET670 Applications Manual page 204

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Section 3
IED application
198
Where:
KNm
= Z0m/(3 · Z1L)
The second part in the parentheses is the error introduced to the measurement of the
line impedance.
If the current on the parallel line has negative sign compared to the current on the
protected line that is, the current on the parallel line has an opposite direction
compared to the current on the protected line, the distance function overreaches. If the
currents have the same direction, the distance protection underreaches.
Maximum overreach occurs if the fault infeed from remote end is weak. If we consider
a single phase-to-ground fault at "p" unit of the line length from A to B on the parallel
line for the case when the fault infeed from remote end is zero, we can draw the
voltage V in the faulty phase at A side as in equation 107.
(
= ×
+
V
p Z1 I
K 3I
A
L
ph
EQUATION1278 V3 EN
Notice that the following relationship exists between the zero sequence currents:
×
=
×
3
I Z
0
3 0
I p Z
0
L
EQUATION1279 V2 EN
Simplification of equation 108, solving it for 3I0p and substitution of the result into
equation
107
gives that the voltage can be drawn as:
æ
= ×
+
V
p Z
1
Iph K
ç
A
L
N
è
EQUATION1280 V1 EN
If we finally divide equation
present to the IED as
é
æ
+
Iph KN
ê
ç
è
ê
= ×
Z
p Z
1
L
ê
ê
ë
EQUATION1379 V2 EN
)
×
+
×
K
3I
N
0
Nm
0p
(
)
-
0 2
p
L
ö
×
3 0
I
p
×
+
×
3 0
I
KN
÷
m
-
2
p
ø
109
with equation
104
×
3
I
p
0
×
+
×
3 0
I
KN
m
-
2
p
+
×
Iph
3
I KN
0
1MRK504116-UUS C
we can draw the impedance
ù
ö
ú
÷
ø
ú
ú
ú
û
Application manual
(Equation 107)
(Equation 108)
(Equation 109)
(Equation 110)

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