ABB Relion Technical Manual page 102

Section 6
Differential protection
96
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:
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°
With the help of table 29, the following matrix equation can be written for this power
transformer:
- -
é ù é
ID A _ 2 1
ê ú 1 ê
= × - -
ID B _ 1 2
ê ú ê
3
ê ú ê
- -
ID C _ 1 1 2
ë û ë
EQUATION1810-ANSI V1 EN
Matrix with Zero Sequence
Reduction set to On
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
-
1 1 0
ë û
(Equation 17)
EQUATION1241 V1 EN
-
é ù
1 1 2
1 ê ú
× -
2 1 1
ê ú
3
ê ú
-
1 2 1
ë 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
ù é ù
1 I _ A W _ 1
ú ê ú Vr W _ 2
× + ×
1 I _ B W _ 1
ú ê ú
Vr W _ 1
ú ê ú
I C W _ _ 1
û ë û
1MRK 502 048-UUS A
Matrix with Zero Sequence
Reduction set to Off
é ù
0 1 0
ê ú
0 0 1
ê ú
ê ú
ë 1 0 0 û
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
EQUATION1243 V1 EN
Not applicable. Matrix on the left
used.
-
é ù é
1 0 1 I _ A W _
1 ê ú ê
× - ×
1 1 0 I _ B W _
ê ú ê
3
ê ú ê
-
0 1 1 I C W _ _
ë û ë
Technical manual
(Equation 16)
(Equation 19)
ù
2
ú
2
ú
ú
2
û
(Equation 21)