ABB Relion 670 Series Technical Reference Manual page 949

Line differential protection ansi
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1MRK505222-UUS C
Technical reference manual
Z
Z
0L
1L
----------------------- -
K
=
N
×
3 Z
1L
EQUATION99 V1 EN
DI is the change in current, that is the current after the fault minus the current before
the fault.
In the following, the positive sequence impedance for Z
the equations, because this is the value used in the algorithm.
For double lines, the fault equation is:
I
=
× ×
+
×
V
I p Z
FA
A
A
1L
D
A
EQUATION1600 V1 EN
Where:
I
is a zero sequence current of the parallel line,
0P
Z
is a mutual zero sequence impedance and
0M
D
is the distribution factor of the parallel line, which is:
A
(
)
×
(
1 p
Z
---------------------------------------------------------------------------- -
D
=
A
×
2 Z
A
EQUATION101 V1 EN
The K
compensation factor for the double line becomes:
N
Z
Z
Z
0L
1L
0M
×
----------------------- -
---------------- -
K
=
+
N
×
×
3 Z
3 Z
1L
1L
EQUATION102 V1 EN
From these equations it can be seen, that, if Z
equation for a single line is obtained. Only the distribution factor differs in these two
cases.
Because the D
distribution factor according to equation
A
the general equation
186
2
×
×
p
p K
+
K
K
R
=
1
2
3
F
EQUATION103 V1 EN
+
×
R
I
Z
F
0P
0M
)
+
Z
+
Z
+
Z
A
A L
B
B
×
+
Z
+
2 Z
L
B
I
0P
-------
I
0A
= 0, then the general fault location
0m
can be written in the form:
0
Section 15
Monitoring
(Equation 185)
, Z
and Z
is inserted into
A
B
L
(Equation 186)
(Equation 187)
184
or
186
is a function of p,
(Equation 188)
943

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