CHAPTER 9: THEORY OF OPERATION
Transformer
Loop
connection
Dy5
AB
BC
CA
Dy7
AB
BC
CA
Dy9
AB
BC
CA
Dy11
AB
BC
CA
Yd1
AB
BC
CA
Yd3
AB
BC
CA
D30 LINE DISTANCE PROTECTION SYSTEM – INSTRUCTION MANUAL
Current transformation
I
=
3I
AB_21P
B
I
=
3I
BC_21P
C
I
=
3I
CA_21P
A
I
=
3I
–
AB_21P
A
I
=
3I
–
BC_21P
B
I
=
3I
–
CA_21P
C
I
=
3I
AB_21P
C
I
=
3I
BC_21P
A
I
=
3I
CA_21P
B
I
=
3I
–
AB_21P
B
I
=
3I
–
BC_21P
C
I
=
3I
–
CA_21P
A
1
I
=
----- - 2I
(
I
I
)
–
–
AB_21P
A
B
C
3
1
I
=
----- - 2I
(
I
I
)
–
–
BC_21P
B
A
C
3
1
I
=
----- - 2I
(
I
I
)
–
–
CA_21P
C
A
B
3
1
I
=
----- - I
(
+
I
2I
)
–
AB_21P
A
B
C
3
1
(
)
I
=
----- - I
+
I
2I
–
BC_21P
B
C
A
3
1
I
=
----- - I
(
+
I
2I
)
–
CA_21P
A
C
B
3
PHASE DISTANCE APPLIED TO POWER TRANSFORMERS
Voltage transformation
1
V
=
----- - V
(
V
)
–
AB_21P
BC
AB
3
1
V
=
----- - V
(
V
)
–
BC_21P
CA
BC
3
1
(
)
V
=
----- - V
V
–
CA_21P
AB
CA
3
1
V
=
----- - V
(
V
)
–
AB_21P
CA
AB
3
1
V
=
----- - V
(
V
)
–
BC_21P
AB
BC
3
1
(
)
V
=
----- - V
V
–
CA_21P
BC
CA
3
1
V
=
----- - V
(
V
)
–
AB_21P
CA
BC
3
1
V
=
----- - V
(
V
)
–
BC_21P
AB
CA
3
1
V
=
----- - V
(
V
)
–
CA_21P
BC
AB
3
1
V
=
----- - V
(
V
)
–
AB_21P
AB
BC
3
1
V
=
----- - V
(
V
)
–
BC_21P
BC
CA
3
1
V
=
----- - V
(
V
)
–
CA_21P
CA
AB
3
V
=
3V
AB_21P
A
V
=
3V
BC_21P
B
V
=
3V
CA_21P
C
V
=
3V
–
AB_21P
C
V
=
3V
–
BC_21P
A
V
=
3V
–
CA_21P
B
9
9-13