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Table 1 Comparative analysis of three-phase transmission line parameters for capacitance/length (\(\mathrm{\mu F}\))

From: Parameters estimation of AC transmission line by an improved moth flame optimization method

Case Number

IMFO

MFO

MWOA [36]

GWO [37]

Test Case 1

−0.15434

0.05772

0.89000

0.15084

−0.00766

−0.03311

0.89000

−0.00204

0.93000

0.91000

−0.10580

0.57367

0.93000

−0.91000

0.630020

0.00041

−0.58829

0.91000

0.214190

 − 0.10258

Best optimal value

0.22406

0.22418

0.22482

0.22634

Test Case 2

0.94000

0.91000

0.90000

0.00025

0.94000

0.91000

0.90000

0.64927

−0.94000

−0.91000

0.72970

0.16326

0.94000

−0.91000

0.90000

−0.02038

0.94000

0.91000

0.90000

−0.00209

Best optimal value

0.02294

0.02352

0.02371

0.027884

Test Case 3

1.02200

1.02100

1.02000

1.00000

1.02200

1.02100

1.02000

1.00000

1.02200

−1.02100

1.02000

−0.01876

−1.02200

−1.02100

1.02000

0.51761

1.0220 0

1.02100

1.02000

 − 0.48557

Best optimal value

0.00497

0.00505

0.00513

0.00670