Table 7 Optimized control parameters with all algorithms in Case 3.

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

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

38.7453

40.0125

39.2802

54.3639

39.0636

38.7891

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

74.9994

74.493

74.6148

74.5917

74.999

74.9998

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

35

34.9969

34.9209

33.7845

34.9953

34.9997

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

59.9998

54.6032

59.6149

49.0597

60

59.9991

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

26.5908

30.2191

26.619

19.0162

26.2036

26.4699

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

1.0586

1.022

1.0583

1.0576

1.0597

1.0576

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

1.0532

1.0156

1.0525

1.0548

1.0544

1.0526

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

1.0427

1.0025

1.0423

1.0404

1.044

1.0419

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

1.0456

1.0072

1.0447

1.0348

1.0469

1.0457

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

1.093

1.0735

1.09

1.0564

1.08

1.0889

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

1.0576

1.0693

1.0632

1.031

1.0648

1.0724

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

1.02

0.94

1.04

0.98

1

1.04

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

0.9

0.96

0.92

1.04

0.94

0.94

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

0.98

0.98

1

1.08

1

1.02

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

0.96

0.94

0.98

0.96

1

0.98

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

15

24

24

27

24

24

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

7

19

21

12

26

21

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

9.2916

4.8327

9.1548

1.8086

9.9611

9.8113

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

9.999

4.3109

8.2193

-4.285

2.4139

9.9935

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

25

23

31

32

5

25

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

14

41

19

31

2

2

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

0.0548

0.1682

0.4569

0.4561

0.2074

0.1136

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

0.0836

0.3395

0.2499

0.4222

0.2123

0.1133

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

9

34

29

16

33

35

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

35

4

33

13

28

33

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

0.5126

-3.8698

0.1806

-1.7135

2.9245

-0.3173

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

3.0477

0.0204

3.6087

-0.253

0.0303

3.305

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

50.0215

51.2375

50.2557

55.277

50.0538

50.0183

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

0.1773

0.8709

-0.3525

-5.1252

-0.2603

-3.6657

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

14.5019

13.3392

10.1532

25.266

13.3799

8.7081

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

19.5362

22.8332

23.5013

25.4076

24.0019

21.7588

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

40.7743

41.729

33.2225

35.776

39.4623

29.7307

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

26.2161

15.2899

27.7253

18.866

19.6262

27.4255

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

6.6602

23.6316

15.6598

31.0321

17.2605

22.9432

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

918.4449

918.6304

917.4897

903.9076

917.8086

918.0103

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

1.9568

2.1622

1.9055

2.693

1.9153

1.8759

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

0.8627

0.4295

0.7973

0.5324

0.7191

0.8084

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

1111.9490

1132.4133

1108.4840

1170.7639

1106.2802

1103.7310

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

1116.4378

1132.5021

1110.7134

1176.2436

1108.0956

1104.6790

Run time

164.8901

162.8067

165.1411

163.7421

164.9372

164.2519

FRT

5.5

8

4

9

2.5

1

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