Table 10 Simulation results on IEEE 57 bus system using different algorithms for case 1

V_G1

1.06

1.06

1.06

1.06

1.06

0.9704

1.06

1.06

V_G2

1.06

1.06

1.06

1.06

1.06

0.94

1.06

1.06

V_G3

1.06

1.06

1.06

1.06

1.06

0.94

1.06

1.0495

V_G6

1.06

1.06

1.0497

1.06

1.06

0.94

1.06

1.0436

V_G8

1.06

1.06

1.06

1.06

1.06

0.94

1.06

1.06

V_G9

1.06

1.06

1.06

1.06

1.06

0.94

1.06

1.0450

V_G12

1.06

1.06

1.06

1.06

1.06

0.94

1.06

1.0411

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

1.1

1.1

0.9

0.9

0.9829

T₂₄₋₂₆

1.1

1.0822

1.0308

1.0273

1.1

0.9

0.9

0.9875

T₇₋₂₉

1.1

1.1

1.1

1.046

1.1

0.9

0.9

0.9

T₃₄₋₃₂

0.9692

0.9693

1.1

1.1

1.1

0.9

0.9

0.9743

T₁₁₋₄₁

1.1

1.1

1.1

1.1

1.1

0.9

0.9

0.9

T₁₅₋₄₅

0.995

1.0023

1.1

1.0042

0.9

0.9

0.9

0.9

T₁₄₋₄₆

1.0091

1.0078

1.0518

1.0095

0.9164

0.9

0.9

0.9

T₁₀₋₅₁

1.1

1.1

1.1

1.1

0.9345

0.9

0.9

0.9110

T₁₃₋₄₉

0.9745

0.9778

1.0122

0.9795

0.9

0.9

0.9

0.9

T₁₁₋₄₃

1.1

1.1

1.1

1.1

0.9

0.9

0.9

0.9

T₄₀₋₅₆

1.1

1.1

1.1

1.1

1.0733

0.9095

0.9

1.0156

T₃₉₋₅₇

1.1

1.1

1.1

1.1

1.0412

0.9

0.9

0.9838

T₉₋₅₅

1.1

1.1

1.1

1.1

1.1

0.9

0.9

0.9006

Q_sc18

0.10

0.10

0.0138

0.094

0.10

0.0009

0

0.0999

Q_sc25

0.059

0.059

0.059

0.059

0.059

0.007

0

0.059

Q_sc53

0.063

0.063

0.063

0.063

0.063

0.0015

0

0.063

P_loss (MW)

26.1507

26.1354

26.7281

26.1826

25.3875

31.6433

24.9314

23.4710

HSA [30]

SGA [30]

DMSDE [30]

DE [30]

CLPSO [30]

AGA [30]

CGA [30]

ICA [31]

IWO [31]

24.5612

25.03

24.266

25.0862

25.0684

24.4857

24.8853

24.4799

24.5939

MICA-IWO [31]

SOA [10]

PSO-w [10]

L-SaDE [10]

ABC [34]

MVMO [33]

DE [34]

JADE [34]

JADE-vPS [34]

24.25684

24.26548

24.27052

24.26739

24.1846

24.8512

24.8360

24.8493

24.8451

FA [20]

GWO [20]

SOA [20]

CSA [20]

ALO [20]

MFO [20]

24.4587

24.7523

24.2677

24.2619

24.7621

24.2529