ABB RED650 Technical Manual page 603

1MRK 505 394-UEN A
Line differential protection RED650 2.2 IEC
Technical manual
( ) × (
1 p – Z + Z +
A A L
---------------------------------------------------------------------------- -
D =
A ×
2 Z + Z + 2 Z
A L
EQUATION101 V1 EN-US
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-US
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
p, the general equation 83
2
× ×
p – p K + K – K R
1 2 3 F
EQUATION103 V1 EN-US
Where:
U Z
A B
--------------- - -------------------------- -
K = +
1
×
I Z Z Z
+
A L L A DD
EQUATION104 V1 EN-US
U Z
æ
A B
×
K = -------------- - - -------------------------- -
è
2 ×
I Z Z + Z
A L L A DD
EQUATION105 V1 EN-US
I Z + Z
æ
F A A B
×
K = --------------- - -------------------------- -
è
3 ×
I Z Z + Z
A L 1 A DD
EQUATION106 V1 EN-US
and:
• Z = Z + Z for parallel lines.
ADD A B
• I , I and U are given in the above table.
A FA A
• K is calculated automatically according to equation 85.
N
• Z , Z , Z , Z and Z
A B L 0L
For a single line, Z = 0 and Z
0M
and parallel lines.
Equation 86 can be divided into real and imaginary parts:
)
Z + Z
B B
×
B
I
0P
×
-------
I
0A
0m
can be written in the form:
= 0
+ 1
ö
+ 1
ø
ö
+ 1
ø
are setting parameters.
0M
= 0. Thus, equation
ADD
Section 15
Monitoring
= 0, then the general fault location
81 or 83 is a function of
86 applies to both single
(Equation 84)
(Equation 85)
(Equation 86)
(Equation 87)
(Equation 88)
(Equation 89)
597