I
I
A
t
Base
=
×
=
×
=
2 5
2 5 8367 20918
.
.
EQUATION14043 V1 EN-US
(Equation 3)
The parameter
ReachZ1 defines the boundary between zone 1 and zone 2; it is expressed in
percent of the parameter
ForwardX. If the setting of ReachZ1 = 12%, then corresponding
primary value of the reactance is
X
ReachZ
ForwardX
ZBase
RZ
1
1
100
100
12
100
59 33
100
0 9522 0
=
×
×
=
×
×
=
.
.
.0068
Ω
EQUATION14044 V1 EN-US
(Equation 4)
The calculation of the test voltage, that is related to
ReachZ1, is based on the impedance Z
RZ1
that has imaginary part X
RZ1
and real part R
RZ1
:
RRZ
achZ
ForwardR
ZBase
1
1
100
100
12
100
8 19
100
0 9522
0 0
=
×
×
=
×
×
=
Re
.
.
. 0
09
Ω
EQUATION14045 V1 EN-US
(Equation 5)
The magnitude of the impedance Z
RZ1
is:
2
2
2
2
1
1
1
0.009
0.068
0.069
RZ
RZ
RZ
Z
R
X
=
+
=
+
=
W
EQUATION14046 V1 EN-US
(Equation 6)
Hence the reference voltage of the test of the boundary between zone 1 and zone 2 is
V
Z
I
V
t RZ
RZ
t
,
.
1
1
0 069 20918 1435
=
×
=
×
=
EQUATION14047 V1 EN-US
(Equation 7)
If the test voltage is lower than V
t,RZ1
(or in opposition), then the test is related to the zone 1; if
the test voltage is higher than V
t,RZ1
, then the test is related to the zone 2.
Considering the resistances and reactances which are related to the settings (
ForwardR,
ForwardX) and (ReverseR, ReverseX):
R
ForwardR
ZBase
FwdR
=
×
=
×
=
100
8 19
100
0 9522 0 078
.
.
.
Ω
EQUATION14048 V1 EN-US
(Equation 8)
X
ForwardX
ZBase
FwdX
=
×
=
×
=
100
59 33
100
0 9522 0 565
.
.
.
Ω
EQUATION14049 V1 EN-US
(Equation 9)
R
ReverseR
ZBase
RvsR
=
×
=
×
=
100
0 29
100
0 9522 0 003
.
.
.
Ω
EQUATION14050 V1 EN-US
(Equation 10)
X
ReverseR
ZBase
RvsX
=
×
=
×
=
100
29 6
100
0 9522 0 282
.
.
.
Ω
EQUATION14051 V1 EN-US
(Equation 11)
and the voltages that are related to them:
V
Z
I
R
X
I
t FwdZ
FwdZ
t
FwdR
FwdX
t
,
.
.
.
=
×
=
+
×
=
+
×
=
2
2
2
2
0 078
0 565
20918 0 5700 20918 11931
×
=
V
EQUATION14052 V1 EN-US
(Equation 12)
V
Z
I
R
X
I
t RvsZ
RvsZ
t
RvsR
RvsX
t
,
.
.
.
=
×
=
+
×
=
+
×
=
2
2
2
2
0 003
0 282
20918 0 2822 20918 5899
×
=
V
EQUATION14053 V1 EN-US
(Equation 13)
1MRK 502 067-UEN B
Section 12
Testing functionality by secondary injection
133
Commissioning manual