ABB REC650 Technical Manual page 484

Section 12
Monitoring
478
I
FA
× × ×
------- - R
U = I p Z +
A A 1L
D
A
EQUATION100 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 –
---------------------------------------------------------------------------- -
D =
A ×
2 Z
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 66
2
× ×
p p K K K R
– + –
1 2 3 F
EQUATION103 V1 EN
Where:
U Z
A B
--------------- - -------------------------- -
K = +
1 ×
I Z Z + Z
A L L A DD
EQUATION104 V1 EN
U Z
æ
A B
×
-------------- - - -------------------------- -
K =
è
2 ×
I Z Z + Z
A L L A DD
EQUATION105 V1 EN
I Z Z
+
æ
F A A B
×
K --------------- - -------------------------- -
=
è
3 ×
I Z Z + Z
A L 1 A DD
EQUATION106 V1 EN
×
+ I Z
F 0P 0M
)
Z + Z + Z + Z
A A L B B
×
+ Z + 2 Z
A L B
I
0P
×
-------
I
0A
0m
can be written in the form:
0
=
+ 1
ö
+ 1
ø
ö
1
+
ø
1MRK 511 287-UEN A
= 0, then the general fault location
64 or 66 is a function of p,
Technical manual
(Equation 66)
(Equation 67)
(Equation 68)
(Equation 69)
(Equation 70)
(Equation 71)