ABB RET650 Technical Manual page 97

Relion 650 series transformer protection
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1MRK 504 135-UEN A
Technical manual
Matrix for winding with 120°
lagging
Matrix for winding with 150°
lagging
Matrix for winding which is in
opposite phase
Matrix for winding with 150°
leading
Matrix for winding with 120°
leading
Matrix for winding with 90°
leading
Matrix for winding with 60°
leading
Matrix for winding with 30°
leading
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:
Matrix with Zero Sequence
Reduction set to On
é
-
-
ù
1
1
2
1
ê
ú
×
-
-
2
1
1
ê
ú
3
ê
ú
-
-
ë
1
2
1
û
(Equation 9)
EQUATION1233 V1 EN
é
ù
-1
0
1
1
ê
ú
×
-
1
1
0
ê
ú
3
ê
ú
-
ë
0
1
1
û
(Equation 11)
EQUATION1235 V1 EN
-
é
ù
2
1
1
1
ê
ú
×
-
1
2
1
ê
ú
3
ê
ú
-
ë
1
1
2
û
(Equation 12)
EQUATION1236 V1 EN
é
ù
-1
1
0
1
ê
ú
×
-
0
1
1
ê
ú
3
ê
ú
-
ë
1
0
1
û
(Equation 14)
EQUATION1238 V1 EN
é
-
-
ù
1
2
1
1
ê
ú
× -
-
1
1
2
ê
ú
3
ê
ú
-
-
ë
2
1
1
û
(Equation 15)
EQUATION1239 V1 EN
é
ù
0
1
-1
1
ê
ú
×
-1
0
1
ê
ú
3
ê
ú
-
ë
1
1
0
û
(Equation 17)
EQUATION1241 V1 EN
-
é
ù
1
1
2
1
ê
ú
× -
2
1
1
ê
ú
3
ê
ú
-
ë
1
2
1
û
(Equation 18)
EQUATION1242 V1 EN
é
ù
1
0
-1
1
ê
ú
×
-1
1
0
ê
ú
3
ê
ú
-
ë
0
1
1
û
(Equation 20)
EQUATION1244 V1 EN
Section 6
Differential protection
Matrix with Zero Sequence
Reduction set to Off
é
ù
0 0 1
ê
ú
1 0 0
ê
ú
ê
ú
ë
0 1 0
û
(Equation 10)
EQUATION1234 V1 EN
Not applicable. Matrix on the
left used.
-
é
ù
1
0
0
ê
ú
-
0
1
0
ê
ú
ê
ú
-
ë
0
0
1
û
(Equation 13)
EQUATION1237 V1 EN
Not applicable. Matrix on the
left used.
é
ù
0 1 0
ê
ú
0 0 1
ê
ú
ê
ú
ë
1 0 0
û
(Equation 16)
EQUATION1240 V1 EN
Not applicable. Matrix on the
left used.
é
-
ù
0
0
1
ê
ú
-
1
0
0
ê
ú
ê
ú
-
ë
0
1
0
û
(Equation 19)
EQUATION1243 V1 EN
Not applicable. Matrix on the
left used.
91

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