Table 11 Comparison of control variables for test case 3 with OGSA, WCA, NGBWCA from proposed technique.

From: Design of fractional evolutionary processing for reactive power planning with FACTS devices

Variable

OGSA

WCA

NGBWCA

FO-DPSO

Variable

OGSA

WCA

NGBWCA

FO-DPSO

Generator voltage

V1

1.0388

1

1.0002

0.9655

V100

1.0032

1.0029

1.0021

1.0846

V4

0.9872

1.0194

1.0202

1.0378

V103

0.9843

1.0502

0.9998

0.9677

V6

0.9925

0.9996

0.9936

1.1

V104

0.988

0.9872

0.9852

1.0735

V8

0.9905

0.9812

0.9771

1.069

V105

1.0003

0.9992

0.9994

1.079

V10

0.9919

1.0031

1.0051

1.0426

V105

1.0033

1.0136

1.0198

1.0974

V12

1.0077

1.0131

1.012

1.0758

V110

1.004

1.0043

1.0152

1.1

V15

1.0034

0.9859

0.9853

1.0209

V111

1.0331

1.0247

1.0241

1.058

V18

0.9773

1.0575

1.0557

1.0103

V112

0.9877

1.0023

1.0023

0.9995

V19

1.0324

1.0203

1.019

1.0595

V113

0.9705

0.9825

0.9951

1.0211

V24

1.0285

1.0201

1.0197

1.0548

V116

1.027

0.9976

0.997

1.0829

V25

0.9705

1.0246

1.0108

0.9978

Transformer tap ratio

    

V26

1.0175

0.9883

0.9954

1.0031

T8

0.9841

0.9956

1.0484

1.0792

V27

1.0117

1.0164

1.0204

1.0695

T32

1.0377

0.9712

0.9511

0.9973

V31

1.0014

0.9976

0.999

1.0919

T36

0.9573

1.034

1.0312

1.075

V32

0.9988

0.9913

0.9877

1.0965

T51

0.9952

0.9817

0.9811

0.9954

V34

1.0158

1.0027

1.0211

1.0962

T93

0.9622

1.0212

1.0224

0.9888

V36

0.9916

0.9687

0.9656

0.9819

T95

1.032

0.9976

0.9972

1.0071

V40

1.0132

1.0002

1.0031

1.0294

T102

1.0137

1.0021

1.0249

1.005

V42

0.9892

1.0115

1.0012

1.0616

T107

0.9795

0.9679

0.9621

0.9904

V46

1.0607

1.0531

1.0512

1.0384

T127

0.9985

1.0212

1.0102

1.0309

V49

1.0031

1.0026

1.0001

1.0154

Capacitor banks

    

V54

1.0236

1.0231

1.0227

1.0357

QC-5

− 0.2403

− 0.1427

− 0.1413

0.9772

V55

1.0176

1.0346

1.0323

0.9959

QC-34

0.0371

0.0215

0.0212

0.9658

V56

1.0149

1.0131

1.0139

1.0802

QC-37

− 0.0437

− 0.1390

− 0.1319

0.9804

V59

1.0584

1.0099

1.0084

1.0275

QC-44

0.0375

0.0712

0.0781

18.1179

V61

0.9829

1

1.0001

0.982

QC-45

0.04

0.0452

0.0459

− 24.2592

V62

1.0562

1

1.0027

1.0944

QC-46

0.0749

0.0549

0.0711

− 7.7363

V65

0.9724

0.9694

0.9681

1.0755

QC-48

0.0796

0.1076

0.1002

22.8106

V66

1.002

1.0175

1.0143

1.0852

QC-74

0.0883

0.0084

0.0082

− 4.3584

V69

0.9827

1.0158

0.9995

1.091

QC-79

0.1218

0.0197

0.019

− 9.5234

V70

0.9997

0.9814

0.9721

1.0043

QC-82

0.038

0.1435

0.1417

28.0814

V72

1.0123

0.991

0.9987

1.0104

QC-83

0.0627

0.0813

0.0921

1.4103

V73

0.996

1.0313

0.9946

1.0785

QC-105

0.083

0.1146

0.116

6.8655

V74

1.0232

1.0002

1.0212

1.0794

QC-107

0.0459

0.0279

0.0242

− 27.6663

V76

1.0015

1.0097

1.0024

1.05

QC-110

0.0221

0.0276

0.0257

− 27.6663

V77

1.0124

1.03

1.0122

1.0357

     

V80

1.0226

1.0124

0.9998

1.0905

     

V85

1.0117

1.0112

1.0205

1.1

     

V87

1.0058

0.9997

1.0002

1.0159

     

V89

1.0076

1.0087

1.0002

1.0497

     

V90

0.9753

1.0145

1.0182

0.9941

     

V91

0.9836

0.9934

0.9879

1.0182

 

OGSA

WCA

NGBWCA

F0-DPSO

V92

1.0272

0.9994

0.9999

0.9747

     

V99

0.9612

1.0712

1.0672

1.0647

\(P_{loss}\), MW

157.72

165.71

152.31

132.5