ABB REG670 - Page 124

Table 47: Matrices for differential current calculation
Matrix with Zero Sequence
Reduction set to On
Matrix with Zero Sequence
Reduction set to Off
Matrix for Reference Winding
2 1 1
1
1 2 1
3
1 1 2
- -
× - -
- -
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1227 V1 EN (Equation 3)
1 0 0
0 1 0
0 0 1
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1228 V1 EN (Equation 4)
Matrix for winding with 30°
lagging
1 -1 0
1
0 1 1
3
1 0 1
× -
-
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1229 V1 EN (Equation 5)
Not applicable. Matrix on the
left used.
Matrix for winding with 60°
lagging
1 2 1
1
1 1 2
3
2 1 1
-
× -
-
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1230 V1 EN (Equation 6)
0 1 0
0 0 1
1 0 0
-
-
-
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1231 V1 EN (Equation 7)
Matrix for winding with 90°
lagging
0 -1 1
1
1 0 1
3
1 1 0
× -
-
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1232 V1 EN (Equation 8)
Not applicable. Matrix on the
left used.
Matrix for winding with 120°
lagging
1 1 2
1
2 1 1
3
1 2 1
- -
× - -
- -
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1233 V1 EN (Equation 9)
0 0 1
1 0 0
0 1 0
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1234 V1 EN (Equation 10)
Matrix for winding with 150°
lagging
-1 0 1
1
1 1 0
3
0 1 1
× -
-
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1235 V1 EN (Equation 11)
Not applicable. Matrix on the
left used.
Matrix for winding which is in
opposite phase
2 1 1
1
1 2 1
3
1 1 2
-
× -
-
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1236 V1 EN (Equation 12)
1 0 0
0 1 0
0 0 1
-
-
-
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1237 V1 EN (Equation 13)
Matrix for winding with 150°
leading
-1 1 0
1
0 1 1
3
1 0 1
× -
-
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1238 V1 EN (Equation 14)
Not applicable. Matrix on the
left used.
Table continues on next page
Section 6 1MRK502052-UEN B
Differential protection
118
Technical manual