Section 6
Differential protection
é
é
ù
ù
é
IDA
IDA
ù
IDA
ê
ê
ú
ú
ê
ú
IDB
IDB
IDB
ê
ê
ú
ú
ê
ú
ê
ê
ú
ú
ê
ú
IDC
IDC
IDC
ë
ë
û
û
ë
û
1
EQUATION1879 V1 EN-US
where:
1.
2.
3.
é
ù
IDA
ê
ú
= ×
IDB
ê
ú
ê
ú
IDC
ë
û
1
EQUATION1882-ANSI V1 EN-US
where:
1.
2.
3.
4.
and where, for equation
ID_A
ID_B
ID_C
I_A_W1
I_B_W1
I_C_W1
I_A_W2
I_B_W2
I_C_W2
Table continues on next page
120
é
é
ù
ù
é
I A W
I A W
_ _ 1
_ _ 1
ù
I A W
_ _ 1
Vn W
Vn W
Vn W
ê
ê
ú
ú
ê
ú
= ×
= ×
+
+
= ×
+
A I B W
A I B W
_ _ 1
_ _ 1
A I B W
_ _ 1
ê
ê
ú
ú
ê
ú
Vn W
Vn W
Vn W
ê
ê
ú
ú
ê
ú
I C W
I C W
_
_
_ 1
_ 1
I C W
_
_ 1
ë
ë
û
û
ë
û
2
is the resulting Differential Currents
is the current contribution from the W1 side
is the current contribution from the W2 side
é
ù
I A W
_ _ 1
Vn W
_
2
ê
ú
+
× ×
A I B W
_ _ 1
ê
ú
Vn W
_ 1
ê
ú
I C W
_
_ 1
ë
û
2
is the resulting Differential Currents
is the current contribution from the W1 side
is the current contribution from the W2 side
is the current contribution from the W3 side
1
and equation 2:
is the fundamental frequency differential current in phaseA (in W1 side primary
amperes)
is the fundamental frequency differential current in phase B (in W1 side primary
amperes)
is the fundamental frequency differential current in phaseC (in W1 side primary
amperes)
is the fundamental frequency phase current in phaseA on the W1 side
is the fundamental frequency phase current in phaseB on the W1 side
is the fundamental frequency phase current in phaseC on the W1 side
is the fundamental frequency phase current in phaseA on the W2 side
is the fundamental frequency phase current in phase B on the W2 side
is the fundamental frequency phase current in phase C on the W2 side
é
é
é
I
I
_ _
_ _
A W
A W
2
2
I
_ _
A W
2
_
_
2
2
_
2
ê
ê
ê
× ×
× ×
× ×
B I B W
B I B W
_ _
_ _
2
2
B I B W
_ _
2
ê
ê
ê
_ 1
_ 1
_ 1
ê
ê
ê
I C W
I C W
_
_
_
_
2
2
I C W
_
_
2
ë
ë
ë
3
é
ù
I
_ _
A W
2
Vn W
_
3
ê
ú
+
× ×
B I B W
_ _
2
C
ê
ú
Vn W
_ 1
ê
ú
I C W
_
_
2
ë
û
3
ù
ù
ù
ú
ú
ú
ú
ú
ú
ú
ú
ú
û
û
û
é
ù
IL A W
_ _
3
ê
ú
IL B W
_ _
3
ê
ú
ê
ú
IL C W
_
_
3
ë
û
4
1MRK 502 066-UUS B
(Equation 1)
(Equation 2)
Technical manual