( )
( )
( )
2
1 0
0
1 0
0
1 0
1
2
3
1
1
2 3
2
3
E f
m
U
f
f
Z Z R
Z
K
Z Z Z R
Z Z R
× × + +
= = -
× × + +
× × + +
EQUATION1284 V1 EN (Equation 40)
This means that the reach is reduced in reactive and resistive directions. If the real and
imaginary components of the constant A are equal to equation 41 and equation 42.
Re( ) 0 (2 1 0 3 ) 0 ( 0 2 1)A R R R Rf X X X= × × + + × - × + ×
EQUATION1285 V1 EN (Equation 41)
0 1 0 1 0 1 0
Im( ) (2 3 ) (2 )A X R R R R X X= × × + + × + × × +
EQUATION1286 V1 EN (Equation 42)
The real component of the KU factor is equal to equation 43.
Re
Re
Re Im
K
A X
A A
u
m
( )
= +
( )
⋅
( )
+
( )
1
0
2
2 2
EQUATION1287 V3 EN (Equation 43)
The imaginary component of the same factor is equal to equation
44.
( )
( )
( ) ( )
2
0
2 2
Im
Im
Re Im
m
U
A X
K
A A
×
=
+
é ù é ù
ë û ë û
EQUATION1288 V2 EN (Equation 44)
Ensure that the underreaching zones from both line ends will overlap a sufficient amount
(at least 10%) in the middle of the protected circuit.
8.1.2.7 Tapped line application
Section 8 1MRK 506 369-UUS -
Impedance protection
170 Line distance protection REL670 2.2 ANSI
Application manual