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 will overreach. If
the currents have the same direction, the distance protection will underreach.
Maximum overreach will occur if the fault current infeed from remote line end is
weak. If considering a single phase-to-earth fault at 'p' unit of the line length from A
to B on the parallel line for the case when the fault current infeed from remote line end
is zero, the voltage U
A
in the faulty phase at A side as in equation
U
p ZI
I
K
I
K
I
A
L
ph
N
Nm
p
=
⋅
+
⋅
+
⋅
(
)
3
3
0
0
IECEQUATION1278 V2 EN
(Equation 44)
One can also notice that the following relationship exists between the zero sequence
currents:
3
0
3 0
0
2
0
I
Z
I
Z
p
L
p
L
⋅
=
⋅
−
(
)
EQUATION1279 V3 EN
(Equation 45)
Simplification of equation
, solving it for 3I0
p
and substitution of the result into
gives that the voltage can be drawn as:
U
p ZI
I
K
I
K
I
p
p
A
L
ph
N
Nm
=
⋅
+
⋅
+
⋅
⋅
−
3
3
2
0
0
IECEQUATION1280 V2 EN
(Equation 46)
If we finally divide equation
with equation
we can draw the impedance present
to the IED as
Z
p ZI
I
KN
I
KN
I
p
p
I
I
KN
L
ph
m
ph
=
⋅
+
⋅
+
⋅
⋅
−
+
⋅
3
3
2
3
0
0
0
EQUATION1379 V3 EN
(Equation 47)
Calculation for a 400 kV line, where we for simplicity have excluded the resistance,
gives with X1L=0.303 Ω/km, X0L=0.88 Ω/km, zone 1 reach is set to 90% of the line
reactance p=71% that is, the protection is underreaching with approximately 20%.
The zero sequence mutual coupling can reduce the reach of distance protection on the
protected circuit when the parallel line is in normal operation. The reduction of the
reach is most pronounced with no current infeed in the IED closest to the fault. This
reach reduction is normally less than 15%. But when the reach is reduced at one line
1MRK 502 071-UEN -
Section 8
Impedance protection
Generator protection REG670 2.2 IEC and Injection equipment REX060, REX061, REX062
197
Application manual
Содержание Relion REG670
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