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Table 5 Simulation results of boundary protection with different fault inception angles (Ag)

From: A fast boundary protection for an AC transmission line connected to an LCC-HVDC inverter station

Fault condition

Eh

Er

Eh Er

Discriminated result

Fault location

θ

R

lNf = 1 km

90°

0

9.6291e+ 10

9.3291e+ 09

8.9832e+ 20

Internal

300

8.9699e+ 09

1.2171e+ 08

1.0918e+ 18

Internal

45°

0

4.9697e+ 10

8.6482e+ 09

4.2979e+ 20

Internal

300

4.6459e+ 09

6.2445e+ 07

2.9011e+ 17

Internal

0

6.5556e+ 08

1.6960e+ 08

1.1118e+ 17

Internal

300

6.0405e+ 07

2.5661e+ 06

1.5500e+ 14

Internal

lNf = 31.25 km

90°

0

7.5379e+ 10

8.0295e+ 08

6.0526e+ 19

Internal

300

1.0334e+ 10

2.4429e+ 08

2.5243e+ 18

Internal

45°

0

3.6900e+ 10

4.1460e+ 08

1.5299e+ 19

Internal

300

5.1037e+ 09

1.2447e+ 08

6.3526e+ 17

Internal

0

5.2071e+ 08

8.5259e+ 06

4.4395e+ 15

Internal

300

7.1285e+ 07

2.3735e+ 06

1.6919e+ 14

Internal

lNf = 61.5 km

90°

0

3.8895e+ 10

4.9823e+ 08

1.9378e+ 19

Internal

300

1.0006e+ 10

8.0355e+ 05

8.0407e+ 15

Internal

45°

0

1.9488e+ 10

3.0777e+ 08

5.9977e+ 18

Internal

300

4.9731e+ 09

3.2226e+ 05

1.6026e+ 15

Internal

0

3.1253e+ 08

5.1877e+ 07

1.6213e+ 16

Internal

300

8.0297e+ 07

4.5757e+ 04

3.6742e+ 12

external