Phase-To-Phase Loop Impedance; Impedance Measurement Algorithms Work With Instantaneous Values (Current And Voltage).14 - GE MiCOM P40 Agile Technical Manual

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P44x/EN AP/Hb6
(AP) 5-14
V
= Z
.D
.(I
+ k
.3I
α N
α
0
0
1
fault
+
Ia
V
= Z
.D
.(I
+
α N
α
1
fault
V
= (R
+j.X
).D
.(I
+
α N
α
1
1
fault
V
= (R
+j.X
).D
.I
+
α N
α
1
1
fault
R
0
V
= R
.D
.I
+
α N
α
1
fault
3
R
0
V
= R
.D
.I
+
α N
α
1
fault
3
R
0
V
= R
.D
.I
+
AN
1
fault
A
3
R
V
= R
.D
.I
+
AN
1
fault
A
+
X
X
dl
0
1
C
.D
.
fault
3
dt
R
0
V
= R
.D
.I
+
AN
1
fault
A
3
R
0
V
= R
.D
.I
+
BN
1
fault
B
3
R
0
V
= R
.D
.I
+
CN
1
fault
C
3
2.1.2
Impedance measurement algorithms work with instantaneous values (current and voltage).
The derived current value (dI/dt) is obtained by using a FIR filter.
2.1.3

Phase-to-phase loop impedance

V
V
CN
BN
Figure 3:
Phase-to-phase loop impedance
) + R
.I
fault
fault
Z
Z
0
1
.3 0
I
+ R
.I
fault
fault
3
(
)
+
R
R
X
X
0
1
0
1
.3I
(
)
3.
R
jX
1
1
(
)
+
R
R
j X
X
0
1
0
1
3
R
1
.D
.3I
+ j.X1. D
0
fault
fault
R
1
.D
.3I
+ j.X1. D
0
fault
fault
R
1
.D
.3I
+
.D
.I
0
fault
fault
A
R
X
0
1
.D
.3I
+
0
fault
3
+ R
.I
fault
fault
R
1
.D
.3I
+ L
.D
.
0
fault
AA
fault
R
1
.D
.3I
+ L
.D
.
0
fault
AB
fault
R
1
.D
.3I
+ L
.D
.
0
fault
AC
fault
Z
i
s
C
Z
i
s
B
Z
i
s
A
V
V
AN
C
Location
of Distance Relay
) + R
.I
0
fault
fault
.D
.3I
+ R
.I
0
fault
fault
fault
(
)
X
X
0
1
j
.I
+
.D
.3I
α
fault
3
(
)
X
X
0
1
j
.I
+
.D
.(I
α
fault
3
X
X
0
1
j
+
.D
.(I
fault
3
+
2.
X
dl
0
1
A
.D
.
fault
3
dt
dl
dl
A
B
+ L
.D
.
+ L
AB
fault
dt
dt
dl
dl
A
B
+ L
.D
.
+ L
BB
fault
dt
dt
dl
dl
A
B
+ L
.D
.
+ L
BC
fault
dt
dt
X / Phase
Z
1
Z
1
R
Z
Fault
1
Application Notes
MiCOM P40 Agile P442, P444
R
.I
0 +
fault
fault
+I
+I
)
R
.I
+
A
B
C
fault
fault
+I
)
R
.I
+
B
C
fault
fault
+
X
X
0
1
+
.D
.
fault
3
dl
C
.D
.
+ R
.I
AC
fault
fault
fault
dt
dl
C
.D
.
+ R
.I
BC
fault
fault
fault
dt
dl
C
.D
.
+ R
.I
CC
fault
fault
fault
dt
R
/ 2
Fault
Z
1
Z
Fault
R / Phase
dl
B
+
dt
P3032EN

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