Where
I
j
is the capacitive ground fault current at a non-resistive phase-to-ground fault
X
c
is the capacitive reactance to ground
In a system with a neutral point resistor (resistance grounded system) the impedance Z
0
can be calculated as:
c n
0
c n
jX 3R
Z
jX 3R
- ×
=
- +
EQUATION1946 V1 EN (Equation 471)
Where
R
n
is the resistance of the neutral point resistor
In many systems there is also a neutral point reactor (Petersen coil) connected to one or
more transformer neutral points. In such a system the impedance Z
0
can be calculated as:
( )
n n c
0 c n n
n c n n c
9R X X
Z jX // 3R // j3X
3X X j3R 3X X
= - =
+ × -
EQUATION1947 V1 EN (Equation 472)
Where
X
n
is the reactance of the Petersen coil. If the Petersen coil is well tuned we have 3X
n
= X
c
In this case
the impedance Z
0
will be: Z
0
= 3R
n
Now consider a system with an grounding via a resistor giving higher ground fault current
than the high impedance grounding. The series impedances in the system can no longer be
neglected. The system with a single phase to ground fault can be described as in Figure
276.
Section 9 1MRK 506 369-UUS -
Current protection
532 Line distance protection REL670 2.2 ANSI
Application manual