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Table 12 Series arc fault distance estimation using FF-RLS algorithm

From: A new protection scheme for PV-wind based DC-ring microgrid by using modified multifractal detrended fluctuation analysis

Series arc fault

Fault resistance Rf = 0.5 Ω

Fault resistance Rf = 1 Ω

Fault resistance Rf = 1.5 Ω

Fault resistance Rf = 2 Ω

Actual fault distance \(\left( {d_{afd} } \right)\)

Estimated fault distance \(\left( {d_{efd} } \right)\)

Relative error \(\left( {\% \varepsilon } \right)\)

Estimated fault distance \(\left( {d_{efd} } \right)\)

Relative error \(\left( {\% \varepsilon } \right)\)

Estimated fault distance \(\left( {d_{efd} } \right)\)

Relative error \(\left( {\% \varepsilon } \right)\)

Estimated fault distance \(\left( {d_{efd} } \right)\)

Relative error \(\left( {\% \varepsilon } \right)\)

0.2

0.2028

1.400

0.2048

2.400

0.1958

2.100

0.2041

2.050

0.4

0.3928

1.800

0.4097

2.425

0.4101

2.525

0.3788

5.300

0.6

0.5913

1.450

0.5843

2.617

0.6087

1.450

0.6273

4.550

0.8

0.8117

1.463

0.7832

2.100

0.7814

2.325

0.8441

5.513

1

0.9784

2.160

1.0243

2.430

1.0261

2.610

1.0519

5.190

1.2

1.2185

1.542

1.1801

1.658

1.2325

2.708

1.2707

5.892

1.4

1.4291

2.079

1.3608

2.800

1.4408

2.914

1.4781

5.579

1.6

1.6244

1.525

1.6327

2.044

1.5583

2.606

1.6542

3.388

1.8

1.7814

1.033

1.8385

2.139

1.7412

3.267

1.8991

5.506

2

2.0474

2.370

2.0428

2.140

1.9452

2.740

2.137

6.850