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Matrix with Zero Sequence
Reduction set to On
Matrix with Zero Sequence
Reduction set to Off
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:
1. HV wye (Y) connected winding will be used as reference winding and zero sequence
currents shall be subtracted on that side
2. The LV winding is lagging for 150°
, the following matrix equation can be written for this power
transformer:
_
2
1
1
_ _ 1
1
0
1
_ _
2
1
_
2
1
_
1
2
1
_ _ 1
1
1
0
_ _
2
3
_ 1
3
_
1
1
2
_
_ 1
0
1
1
_
_
2
-
-
-
= × -
- ×
+
×
×
-
×
-
-
-
é
ù
é
ù é
ù
é
ù é
ù
ê
ú
ê
ú ê
ú
ê
ú ê
ú
ê
ú
ê
ú ê
ú
ê
ú ê
ú
ê
ú
ê
ú ê
ú
ê
ú ê
ú
ë
û
ë
û ë
û
ë
û ë
û
ID A
I
A W
I
A W
Vr W
ID B
I B W
I B W
Vr W
ID C
I C W
I C W
EQUATION1810-ANSI V1 EN
(Equation 21)
Section 6
1MRK 502 048-UUS A
Differential protection
96
Technical manual
Summary of Contents for 650 series
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