ABB ret650 - Page 97

Matrix with Zero Sequence
Reduction set to On
Matrix with Zero Sequence
Reduction set to Off
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.
Matrix for winding with 120°
leading
1 2 1
1
1 1 2
3
2 1 1
- -
× - -
- -
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1239 V1 EN (Equation 15)
0 1 0
0 0 1
1 0 0
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1240 V1 EN (Equation 16)
Matrix for winding with 90°
leading
0 1 -1
1
-1 0 1
3
1 1 0
×
-
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1241 V1 EN (Equation 17)
Not applicable. Matrix on the
left used.
Matrix for winding with 60°
leading
1 1 2
1
2 1 1
3
1 2 1
-
× -
-
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1242 V1 EN (Equation 18)
0 0 1
1 0 0
0 1 0
-
-
-
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1243 V1 EN (Equation 19)
Matrix for winding with 30°
leading
1 0 -1
1
-1 1 0
3
0 1 1
×
-
é ù
ê ú
ê ú
ê ú
ë û
EQUATION1244 V1 EN (Equation 20)
Not applicable. Matrix on the
left used.
By using this table we can derive a complete calculation for all common transformer
configuration. For example when considering a YNd5 power transformer the
following can be concluded:
1MRK 504 135-UEN A Section 6
Differential protection
91
Technical manual