Table 5 Optimized control parameters with all algorithms in Case 1.

From: Exploring the effectiveness of adaptive randomized sine cosine algorithm in wind integrated scenario based power system optimization with FACTS devices

Parameters

SCA

IGWO

WOA

SCADE

OBSCA

ARSCA

\({P}_{TG2}(\text{MW})\)

39.5521

40.5586

38.4877

40.5306

40.7828

40.513

\({P}_{WG5}(\text{MW})\)

50.4577

50.1546

49.3578

49.6813

49.6806

49.6241

\({P}_{TG8}(\text{MW})\)

10.0005

10.0163

10

10

10.0054

10

\({P}_{WG11}(\text{MW})\)

41.9383

41.2357

44.9134

41.9101

41.6482

41.9376

\({P}_{TG13}(\text{MW})\)

12

12.0648

12.2306

12

12.0001

12

\({V}_{1}(\text{p}.\text{u}\text{.})\)

1.0715

1.0712

1.0751

1.0707

1.0744

1.0716

\({V}_{2}(\text{p}.\text{u}\text{.})\)

1.0565

1.0576

1.0583

1.0568

1.06

1.0567

\({V}_{5}(\text{p}.\text{u}\text{.})\)

1.0353

1.0356

1.0179

1.035

1.039

1.0347

\({V}_{8}(\text{p}.\text{u}\text{.})\)

1.0357

1.04

1.0261

1.0363

1.0393

1.0339

\({V}_{11}(\text{p}.\text{u}\text{.})\)

1.0889

1.0626

1.012

1.0497

1.0945

1.073

\({V}_{13}(\text{p}.\text{u}\text{.})\)

1.0547

1.0721

1.046

1.062

1.0719

1.078

\({T}_{11}(\text{p}.\text{u}\text{.})\)

1.08

1.02

1.1

1.04

1.08

1.02

\({T}_{12}(\text{p}.\text{u}\text{.})\)

0.9

0.92

0.92

0.92

0.9

0.94

\({T}_{15}(\text{p}.\text{u}\text{.})\)

1.04

1

1

1.06

0.98

1.02

\({T}_{36}(\text{p}.\text{u}\text{.})\)

0.98

0.96

0.98

1

0.96

0.96

\({L}_{\text{SVC}1}(Bus No.)\)

18

24

24

24

15

21

\({L}_{\text{SVC}2}(Bus No.)\)

12

21

15

21

12

24

\({Q}_{\text{SVC}1}(\text{MVAr})\)

0.5117

8.2199

-0.5847

9.9976

9.9807

9.9998

\({Q}_{\text{SVC}2}(\text{MVAr})\)

1.9045

9.1798

-0.8502

9.7553

-9.9734

8.2697

\({L}_{TCSC1}(Branch No.)\)

28

30

7

35

13

16

\({L}_{TCSC2}(Branch No.)\)

19

5

25

18

24

30

\({\tau }_{TCSC1}(\%)\)

0.0285

0.3081

0.4317

0.5

0.3521

0.2063

\({\tau }_{TCSC2}(\%)\)

0.1387

0.2709

0.1115

0.0377

0.4509

0.1488

\({L}_{TCPS1}(Branch No.)\)

34

13

30

14

8

14

\({L}_{TCPS2}(Branch No.)\)

9

23

21

13

14

13

\({\Phi }_{TCPS1}(\text{deg}\text{.})\)

-4.0448

-0.2639

2.4993

3.055

-1.1282

2.7317

\({\Phi }_{TCPS2}(\text{deg}\text{.})\)

0.402

-0.1217

-0.76

-3.0488

3.0056

-1.8802

\({P}_{TG1}(\text{MW})\)

135.2446

135.0094

134.7155

134.9548

134.9601

134.9459

\({Q}_{TG1}(\text{MVAr})\)

1.3099

-1.2449

11.9807

-1.8539

1.829

1.1033

\({Q}_{TG2}(\text{MVAr})\)

16.0323

19.5519

37.8156

16.8474

18.9867

16.1278

\({Q}_{WG5}(\text{MVAr})\)

25.0452

23.4321

12.2958

24.7083

25.0386

24.7369

\({Q}_{TG8}(\text{MVAr})\)

34.9589

43.2118

38.1498

34.4629

33.5955

29.5605

\({Q}_{WG11}(\text{MVAr})\)

37.7871

12.6198

19.2932

15.1138

44.8287

17.5632

\({Q}_{TG13}(\text{MVAr})\)

25.7396

19.3306

25.048

29.9091

17.8748

28.7649

\({P}_{\text{loss}}(\text{MW})\)

5.7932

5.6394

6.305

5.6768

5.6772

5.6206

\({C}_{\text{gross}}(\$/\text{h})\)

1387.4202

1371.3824

1441.2169

1375.1979

1375.2173

1369.37

\({VD}(\text{p}.\text{u}\text{.})\)

0.3652

0.8315

0.5387

0.4358

0.7672

0.8156

\({C}_{\text{gen},\text{ min}}(\$/\text{h})\)

807.9553

807.5468

810.5816

807.3463

807.3032

807.1704

\({C}_{\text{gen},\text{ mean}}(\$/\text{h})\)

808.0063

807.5653

810.5928

807.4485

807.5046

807.2043

Run time

160.1117

161.2972

158.9886

163.1081

162.2675

158.6182

FRT

8

6

9

5

5

1

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