Table 11 Simulation results on IEEE 57 bus system using different algorithms for case 2

V_G1

1.1

1.1

1.1

1.1

1.1

0.9127

0.9

1.1

V_G2

1.1

1.1

1.1

1.1

1.1

0.9

0.9

1.0991

V_G3

1.1

1.1

1.1

1.1

1.1

0.9

0.9

1.0888

V_G6

1.1

1.1

1.1

1.1

1.1

0.9

0.9

1.0834

V_G8

1.1

1.1

1.1

1.1

1.1

0.9

0.9

1.1

V_G9

1.1

1.1

1.1

1.1

1.1

0.9

0.9

1.0848

V_G12

1.1

1.1

1.1

1.1

1.1

0.9

0.9

1.0806

T₄₋₁₈

1.1

1.1

1.1

1.1

1.1

0.9

0.9

0.9

T₄₋₁₈

1.1

1.1

1.1

1.1

1.1

0.9

0.9

0.9

T₂₁₋₂₀

1.1

1.1

1.1

0.9918

1.1

0.9

0.9243

0.9824

T₂₄₋₂₆

1.0036

1.1

1.015

0.9971

1.0642

0.9

0.9

0.9865

T₇₋₂₉

1.1

1.1

1.1

1.1

1.1

0.9

0.9

0.9

T₃₄₋₃₂

0.9671

1.1

0.9688

0.9662

1.1

1.1

0.9

0.9751

T₁₁₋₄₁

1.1

1.1

1.1

1.1

1.1

0.9

0.9

0.9

T₁₅₋₄₅

1.1

1.0046

1.1

1.1

1.0133

0.9

0.9

0.9

T₁₄₋₄₆

1.1

1.0095

1.1

1.1

1.0176

0.9

0.9

0.9

T₁₀₋₅₁

1.1

1.1

1.1

1.1

1.1

0.9

0.9

0.9101

T₁₃₋₄₉

1.1

0.9823

1.0333

1.1

0.9895

0.9

0.9

0.9

T₁₁₋₄₃

1.1

1.1

1.1

1.1

1.1

0.9

0.9

0.9

T₄₀₋₅₆

1.1

1.1

1.1

1.027

1.1

0.9

0.9

1.0111

T₃₉₋₅₇

1.1

1.1

1.1

0.9829

1.1

0.9

0.9

0.9841

T₉₋₅₅

1.1

1.1

1.1

1.1

1.1

0.9

0.9

0.9002

Q_sc18

0.0

0.0

0.0

0.10

0.0616

0.0012

0.008

0.0976

Q_sc25

0.059

0.059

0.059

0.059

0.059

0.0026

0.0059

0.059

Q_sc53

0.063

0.063

0.063

0.063

0.063

0.0014

0.0059

0.063

P_loss (MW)

24.8254

24.2539

24.5676

24.5873

24.2012

33.5557

23.0158

21.5481

ALC-PSO [16]

BBO [16]

GSA [16]

CPVEI HBMO [16]

HBMO [16]

OGSA [16]

BSO 1 [16]

BSO 2 [16]

BSO 3 [16]

23.39

24.544

24.439

22.78

23.24

23.43

24.5025

24.4856

24.4492

BSO 4 [16]

BSO 5 [16]

SGA (F_f1) [35]

SGA (F_f2) [35]

PSO [36]

ICA [36]

PSO-ICA [36]

MOALO [37]

DSA [38]

24.3744

24.6431

23.836

24.325

24.7742

24.1607

24.1386

26.593

23.35

BSO [16]

WCA [39]

GBWCA [39]

GSA [40]

CSA [40]

MCBOA [40]

BA [41]

FPA [41]

24.3744

24.82

23.27

24.4922

24.2619

23.6943

24.9254

24.8419