Table 11 Optimized control parameters with all algorithms in Case 7.

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

20.8988

31.008

24.3533

34.7576

20.1447

21.2723

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

73.5909

66.0629

71.6038

64.7136

72.2865

71.8501

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

33.9987

34.9993

32.8547

24.6241

32.4458

34.3531

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

49.8425

48.4561

50.528

52.1455

51.8958

49.7197

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

14.6314

12.6563

13.5827

15.9371

16.1703

15.7422

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

1.038

1.053

1.0559

1.0434

1.0576

1.0599

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

1.0323

1.0472

1.0499

1.0352

1.0521

1.0542

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

1.0254

1.0382

1.0431

1.0297

1.0456

1.047

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

1.0273

1.0413

1.0442

1.0315

1.0469

1.0489

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

1.1

1.0375

1.068

1.036

1.0895

1.0717

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

1.0568

1.07

1.0658

1.0501

1.0623

1.0588

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

1.06

0.96

1.04

0.98

1.02

1.06

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

0.9

0.96

0.94

0.96

0.94

0.92

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

0.96

1

1

1.02

1

0.98

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

0.96

1

0.98

0.98

0.98

0.98

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

24

21

21

6

23

24

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

19

27

24

25

24

21

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

9.4397

8.9332

9.6932

-0.0632

2.8662

7.2269

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

5.1549

8.4268

9.1505

4.1459

8.0148

8.8121

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

2

2

2

26

37

40

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

30

39

16

29

38

41

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

0.1606

0.2303

0.0647

0.2895

0.2906

0.0133

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

0.0354

0.172

0.0724

0.1542

0.1932

0.4775

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

13

13

14

25

18

21

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

35

31

25

13

33

35

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

4.129

1.1794

3.2606

-0.1459

-0.1406

-0.1199

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

2.0683

0.0926

-0.628

-0.3859

2.2427

1.9968

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

50.0152

50.0107

50.0675

51.2214

50.0118

50.0226

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

-0.7091

0.4903

-0.6929

4.0511

-1.8808

-0.2312

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

8.3908

10.4644

6.3572

1.23

8.8745

10.274

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

17.4642

20.4109

18.5052

23.5596

18.9026

18.5064

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

25.4048

37.1046

26.2815

43.0973

29.4982

29.7652

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

35.2981

-3.6556

18.0556

6.9573

23.4736

21.0703

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

6.5194

19.5522

15.628

22.4869

13.1916

8.2443

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

750.7269

741.0192

746.744

738.6401

751.4738

750.0083

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

1.3754

1.5911

1.3878

1.7972

1.3527

1.3578

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

0.8206

0.7834

0.8586

0.3

0.8911

0.8976

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

886.3027

898.5854

888.0874

915.9895

885.4779

883.5258

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

891.6030

900.3617

891.6042

919.9327

888.8873

884.0901

Run time

1003.9165

1000.5990

857.8047

853.7877

859.7389

861.2063

FRT

5.5

8

5.5

9

3.5

1