CHAPTER 15: THEORY OF OPERATION
THE D90
Plus
DISTANCE ELEMENTS
D90
PLUS
LINE DISTANCE PROTECTION SYSTEM – INSTRUCTION MANUAL
641
Table 20: Mho phase AB element conditions
The results are shown in the following table.
Table 21: Mho phase AB element analysis
The mho difference angle comparator is not satisfied. Therefore, the mho phase AB
element will not operate for this fault.
Quadrilateral phase A to ground element analysis, before memory expires
Before the memory expires, the following values are calculated for the quadrilateral phase
A to ground distance element.
Eq. 76
The ground distance element checks for the following conditions for overcurrent
supervision and the difference angles.
Table 22: Quadrilateral phase A to ground element conditions
Parameter
Condition
Overcurrent supervision
| (
I
A
–
I
B
) /
√
3 | >
Supervision
Mho difference angle
|
∠
((
I
A
–
I
B
) ×
Z
– (
V
A
–
V
B
)) –
∠
((
V
A
–
V
B
)_1M) | <
Comparator Limit
Reactance difference angle
|
∠
((
I
A
–
I
B
) ×
Z
– (
V
A
–
V
B
)) –
∠
((
I
A
–
I
B
) ×
Z
) | <
Comparator Limit
Directional difference angle |
∠
((
I
A
–
I
B
) ×
Z
) –
∠
((
V
A
–
V
B
)_1M) | <
Directional Comparator Limit
Parameter
Calculation
Requirement
Condition met
Overcurrent supervision
| (7.39 A) /
√
3 | = 4.27 A
> 3 A
Yes
Mho difference angle
| –78.7° –30.0° | = 108.7°
< 75°
No
Reactance difference angle
| –78.7° – (–21.2°) | = 57.5°
< 75°
Yes
Directional difference angle
| –21.2° – 30.0° | = 51.2°
< 75°
Yes
Parameter
Condition
Overcurrent supervision
3 ×
I
_0 >
Supervision
Reactance difference angle
|
∠
(
I
A
×
Z
+
I
_0 ×
K
0
×
Z
+
I
G
×
K
0
M
×
Z
–
V
A
) –
∠
(
j
×
I
_0 × e
j
3
) | <
Comparator Limit
Zero-sequence directional
difference angle
|
∠
(
I
_0 ×
Z
D
) –
∠
(
V
A
_1M) | <
Directional Comparator Limit
Negative-sequence directional
difference angle
|
∠
(
I
A
_2 ×
Z
D
) –
∠
(
V
A
_1M) | <
Directional Comparator Limit
Right blinder difference angle
|
∠
(
I
A
×
Z
R
+
I
_0 ×
K
0
×
Z
R
+
I
G
×
K
0
M
×
Z
R
–
V
A
) –
∠
(
I
A
×
Z
R
+
I
_0 ×
K
0
×
Z
R
) | < 90°
Left blinder difference angle
|
∠
(
I
A
×
Z
L
+
I
_0 ×
K
0
×
Z
L
+
I
G
×
K
0
M
×
Z
L
–
V
A
) –
∠
(
I
A
×
Z
L
+
I
_0 ×
K
0
×
Z
L
) | < 90°
Fault type comparator
difference angle
|
∠
(
I
A
_2 ×
Z
D
) –
∠
(
I
_0 ×
Z
D
) | < 50°
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