Table 6 Optimized control parameters with all algorithms in Case 2.

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

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

25.2441

42.1091

26.6497

22.4751

28.4073

25.3246

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

74.9996

73.8509

74.6513

75

74.9976

75

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

34.965

34.6022

34.5112

32.143

34.8862

34.9989

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

60

45.7109

59.6072

58.0817

59.906

59.9947

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

39.9995

38.7122

39.3387

40

36.9917

39.8617

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

1.0566

1.0593

1.0552

1.0507

1.0574

1.0599

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

1.051

1.0549

1.0494

1.0443

1.051

1.0538

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

1.0432

1.0457

1.0363

1.0345

1.0414

1.0433

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

1.0452

1.048

1.0446

1.0361

1.0458

1.049

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

1.0737

1.0917

1.0816

1.0921

1.0942

1.0812

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

1.0671

1.075

1.0739

1.0719

1.07

1.0566

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

0.96

1.06

1.04

1

1.02

1.04

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

1.04

0.9

0.9

0.98

0.94

0.92

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

1.02

1.02

1

1.02

1

0.98

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

0.98

0.98

0.98

1.02

0.98

0.98

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

7

18

20

12

24

15

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

24

3

24

25

19

24

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

9.987

5.6412

5.3539

-2.8163

9.9995

5.4175

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

9.9981

-5.8256

9.6133

4.5572

6.3399

9.9997

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

14

6

29

17

38

13

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

25

16

40

5

34

14

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

0.3692

0.0053

0.1375

0.128

0.0217

0.199

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

0.4256

0.1576

0.3371

0.4527

0.4868

0.4991

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

9

35

14

1

35

35

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

33

16

35

13

3

14

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

0.498

3.2235

-1.8037

0.6494

3.613

4.5585

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

3.9623

-3.294

4.3442

0.1994

0.1697

-0.7981

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

49.9984

50.5552

50.4526

57.9394

50.0047

50.0091

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

-2.487

-2.8708

-1.9433

-2.4534

-0.3554

0.2545

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

11.3074

11.3129

13.0586

12.3531

9.0623

13.4913

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

20.9016

24.9574

19.8861

23.6692

22.9887

22.6744

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

36.44

37.7945

38.3283

31.2964

34.4041

38.953

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

15.938

31.3774

24.6526

30.3672

26.8862

27.2648

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

23.6011

26.7975

19.9058

31.6881

17.0107

7.2586

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

939.4568

926.2195

936.8458

935.0346

933.5056

939.1434

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

1120.1178

1140.2697

1117.9187

1158.954

1112.8541

1118.0398

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

0.6455

0.6773

0.8232

0.4561

0.862

0.834

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

1.7932

2.1169

1.8407

2.2271

1.7800

1.7655

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

1.8371

2.2208

1.8495

2.3421

1.8225

1.8174

Run time

166.1946

163.0971

163.0196

161.7648

164.7866

164.8774

FRT

3.5

8

3.5

9

3

2.5

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