FAULT LOCATOR
The following settings are entered into the relays by you. These values are calculated in secondary ohms as shown in the
following tables.
Table 10-40: Line impedance settings (all angles are 80.5°)
Value
Local to tap
Remote 1 to tap
Remote 2 to tap
Assume that the following signals are measured by the relays when the fault locator is triggered.
Table 10-41: Relay measurements (physical inputs)
Value
Relay 1
F1
10.64 A ∠–87.5°
F2
1.652 A ∠88.9°
F3
1.66 A ∠–31.2°
F5
52.71 V ∠0.8°
F6
58.21 V ∠–121.4°
F7
58.93 V ∠121.9°
These measurements are shown as follows in per-unit values of the CT and VT nominal of the 87L source.
Table 10-42: Relay measurements (per-unit values)
Value
Relay 1
IA
2.128 pu ∠–87.5°
IB
0.3304 pu ∠88.9°
IC
0.332 pu ∠–31.2°
VA (VAB)
0.91304 pu ∠0.8°
VB (VBC)
1.0083 pu ∠–121.4°
VC (VCA)
1.0208 pu ∠121.9°
When subjected to the expanded Clarke transform in the previous section, the local currents yield the following values (in
relay per-unit values):
•
Relay 1: 1.3839 pu ∠–84.504°
•
Relay 2: 5.4844 pu ∠–85.236°
Relay 3: 1.2775 pu ∠–56.917°
•
10
When subjected to the expanded Clarke transform in the previous section, the local voltages yield the following values (in
per-unit values of the nominal primary phase-to-ground voltage):
10-56
Figure 10-17: Relay connections for multi-ended fault locator example
Relay 1
1.0219 sec. ohms (relay 1 to tap in
relay 1 secondary ohms)
1.7520 sec. ohms (relay 2 to tap in
relay 1 secondary ohms)
0.8030 sec. ohms (relay 3 to tap in
relay 1 secondary ohms)
Relay 2
8.592 A ∠–88.5°
1.273 A ∠78.6°
1.614 A ∠–43°
76.943 V ∠24.579°
86.321 V ∠–98.052°
78.795 V ∠137.27°
Relay 2
8.592 pu ∠–88.5°
1.273 pu ∠78.6°
1.614 pu ∠–43°
0.92335 pu ∠24.579° 0.85917 pu ∠10.1°
1.0359 pu ∠–98.052° 0.98909 pu ∠–115.6°
0.94557 pu ∠137.27° 1.0241 pu ∠130.8°
Relay 2
6.0833 sec. ohms (relay 2 to tap in
relay 2 secondary ohms)
3.5483 sec. ohms (relay 1 to tap in
relay 2 secondary ohms)
2.7883 sec. ohms (relay 3 to tap in
relay 2 secondary ohms)
Relay 3
9.652 A ∠–43°
5.201 A ∠–99°
6.269 A ∠139.3°
49.6 V ∠10.1°
57.1 V ∠–115.6°
59.12 V ∠130.8°
Relay 3
1.9304 pu ∠–43°
1.0402 pu ∠–99°
1.2538 pu ∠139.3°
L90 LINE CURRENT DIFFERENTIAL SYSTEM – INSTRUCTION MANUAL
CHAPTER 10: THEORY OF OPERATION
Relay 3
1.0707 sec. ohms (relay 3 to tap in
relay 3 secondary ohms)
1.3626 sec. ohms (relay 1 to tap in
relay 3 secondary ohms)
2.3360 sec. ohms (relay 2 to tap in
relay 3 secondary ohms)