Areva MiCOM P441, Technical Manual

Page: 148 / 636

P44x/EN HW/E33 Relay Description
Page 20/44 MiCOM P441/P442 & P444
V
α
N
= Z
1
.D
fault
.(I
α
+ k
0
.3I
0
) + R
fault
.I
fault
V
α
N
= Z
1
.D
fault
.(I
α
+
Z
0
–Z
1
3
.3I
0
) + R
fault
.I
fault
V
α
N
= (R
1
+j.X
1
).D
fault
.(I
α
+
R
0
–R
1
+ j.(X
0
–X
1
)
3.(R
1
-jX
1
)
.3I
0
) + R
fault
.I
fault
V
α
N
= (R
1
+j.X
1
).D
fault
.I
α
+
R
0
–R
1
+ j.(X
0
–X
1
)
3
.D
fault
.3I
0
+ R
fault
.I
fault
V
α
N
= R
1
.D
fault
.I
α
+
R
0
–R
1
3
.D
fault
.3I
0
+ j.X1. D
fault
.I
α
+
j.(X
0
–X
1
)
3
.D
fault
.3I
0 +
R
fault
.I
fault
V
α
N
= R
1
.D
fault
.I
α
+
R
0
–R
1
3
.D
fault
.3I
0
+ j.X1. D
fault
.I
α
+
j.(X
0
–X
1
)
3
.D
fault
.(I
A
+I
B
+I
C
)
+
R
fault
.I
fault
V
AN
= R
1
.D
fault
.I
A
+
R
0
–R
1
3
.D
fault
.3I
0
+
j.(X
0
+2.X
1
)
3
.D
fault
.I
A
+
j.(X
0
–X
1
)
3
.D
fault
.(I
B
+I
C
)
+
R
fault
.I
fault
V
AN
= R
1
.D
fault
.I
A
+
R
0
–R
1
3
.D
fault
.3I
0
+
(X
0
+2.X
1
)
3
.D
fault
.
dI
A
dt
+
(X
0
–X
1
)
3
.D
fault
.
dI
B
dt
+
(X
0
–X
1
)
3
.D
fault
.
dI
C
dt
+ R
fault
.I
fault
V
AN
= R
1
.D
fault
.I
A
+
R
0
–R
1
3
.D
fault
.3I
0
+ L
AA
.D
fault
.
dI
A
dt
+ L
AB
.D
fault
.
dI
B
dt
+ L
AC
.D
fault
.
dI
C
dt
+ R
fault
.I
fault
V
BN
= R
1
.D
fault
.I
B
+
R
0
–R
1
3
.D
fault
.3I
0
+ L
AB
.D
fault
.
dI
A
dt
+ L
BB
.D
fault
.
dI
B
dt
+ L
BC
.D
fault
.
dI
C
dt
+ R
fault
.I
fault
V
CN
= R
1
.D
fault
.I
C
+
R
0
–R
1
3
.D
fault
.3I
0
+ L
AC
.D
fault
.
dI
A
dt
+ L
BC
.D
fault
.
dI
B
dt
+ L
CC
.D
fault
.
dI
C
dt
+ R
fault
.I
fault
4.1.2 Impedance measurement algorithms work with instantaneous values (current and voltage).
Derivative current value (dI/dt) is obtained by using FIR filter.
4.1.3 Phase-to-phase loop impedance
P3032ENa
R
Fault
V
C
Z
s
Z
s
Z
s
i
C
i
B
i
A
Z
1
Z
1
Z
1
V
CN
V
AN
Location
of Distance Relay
R / Phase
X / Phase
Z
Fault
Z
1
R
Fault
/ 2
V
BN
FIGURE 7 - PHASE-TO-PHASE LOOP IMPEDANCE
The impedance model for the phase-to-phase loop is :
V
αβ
= ZL x Dfault x I
αβ
+ Rfault /2 x Ifault
with
αβ
= phase AB, BC or CA