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Journal of Electrical Systems and Information Technology

Table 19 Simulation results for TSys-5 (140-unit system)

From: An advanced hybrid meta-heuristic algorithm for solving small- and large-scale engineering design optimization problems

Power output (MW)

Compared algorithms

Proposed algorithms

 

Compared algorithms

Proposed algorithms

 

MTVPSO

MPSO

DHS

aDE

aPSO

haDEPSO

 

MTVPSO

MPSO

DHS

aDE

aPSO

haDEPSO

1

116.2518

116.2514

119.0000

116.2528

116.2418

116.2528

71

143.3803

143.3803

500.0000

143.4785

143.8778

143.3804

2

188.8395

188.8395

119.0000

188.8345

188.8295

188.8375

72

388.3236

388.3236

500.0000

388.3785

388.1248

388.7854

3

189.9734

189.9734

164.0000

189.9724

189.9834

189.9734

73

202.9482

202.9482

241.0000

202.7785

202.7854

202.1245

4

189.8984

189.8984

164.0000

189.8974

189.8984

189.8974

74

176.0783

176.0783

241.0000

176.0785

176.0745

176.7854

5

168.6455

168.6455

190.0000

168.6445

168.6655

168.6455

75

175.8523

175.8523

241.0000

175.8785

175.8545

175.4561

6

187.3990

187.3990

190.0000

187.394

187.389

187.391

76

177.8040

177.8040

241.0000

177.8874

177.8045

177.8125

7

489.9976

489.9976

190.0000

489.9946

489.9976

489.9977

77

179.5410

179.5410

774.0000

179.5254

179.5411

179.4856

8

489.8645

489.8645

190.0000

489.8645

489.8745

489.8645

78

330.6797

330.6797

774.0000

330.6258

330.6745

330.6785

9

495.9917

495.9917

168.5398

495.9997

495.9817

495.9918

79

530.9939

530.9939

769.0000

530.9358

530.9488

530.9987

10

495.9000

495.9000

168.5398

495.904

495.91

495.7854

80

530.9852

530.9852

769.0000

530.9154

530.9878

530.9258

11

495.9999

495.9999

190.0000

495.9949

495.9299

495.7896

81

260.0529

260.0529

3.0000

260.0535

260.0787

260.7854

12

495.9418

495.9418

190.0000

495.9408

495.9318

495.9408

82

56.04720

56.0472

82 3.0000

56.04715

56.04748

56.07854

13

505.9503

505.9503

490.0000

505.9513

505.9803

505.9513

83

115.2868

115.2868

83 3.0000

115.2154

115.2487

115.2987

14

508.9842

508.9842

490.0000

508.9832

508.9242

508.9822

84

115.0050

115.0050

84 3.0000

115.0785

115.1452

115.1545

15

505.9854

505.9854

490.0000

505.9844

505.9454

505.9814

85

115.3836

115.3836

250.0000

115.3834

115.3987

115.3886

16

504.9535

504.9535

490.0000

504.9525

504.9435

504.9635

86

207.0000

207.0000

250.0000

207.0788

207.0078

207.0000

17

505.9841

505.9841

496.0000

505.9881

505.9941

505.9741

87

207.0965

207.0965

250.0000

207.0985

207.0965

207.0785

18

505.9365

505.9365

496.0000

505.9365

505.9265

505.9465

88

175.1027

175.1027

250.0000

175.1078

175.1125

175.1485

19

504.9788

504.9788

496.0000

504.9748

504.9688

504.9888

89

175.1656

175.1656

250.0000

175.1678

175.1145

175.1678

20

504.9618

504.9618

496.0000

504.9628

504.9718

504.9418

90

182.1361

182.1361

250.0000

182.1354

182.1361

182.1378

21

504.9769

504.9769

496.0000

504.9779

504.9869

504.9369

91

175.1669

175.1669

250.0000

175.1678

175.1785

175.1754

22

504.9081

504.9081

496.0000

504.9091

504.9281

504.9181

92

579.9855

579.9855

250.0000

579.9854

579.9452

579.9785

23

504.9514

504.9514

496.0000

504.9524

504.9614

504.9814

93

645.0000

645.0000

250.0000

645.0999

645.0089

645.0754

24

504.9742

504.9742

496.0000

504.9742

504.9442

504.9642

94

983.9400

983.9400

250.0000

983.9485

983.9200

983.9487

25

536.9944

536.9944

506.0000

536.9934

536.9844

536.9844

95

977.9925

977.9925

250.000

977.9978

977.9785

977.9925

26

536.9804

536.9804

506.0000

536.9814

536.9704

536.9704

96

681.9838

681.9838

250.0000

681.9825

681.9025

681.9895

27

548.9866

548.9866

509.0000

548.9867

548.9666

548.9466

97

719.9953

719.9953

250.0000

719.9985

719.9954

719.9975

28

548.9698

548.9698

509.0000

548.9699

548.9498

548.9398

98

718.0000

718.0000

250.0000

718.0897

718.0854

718.0045

29

500.9609

500.9609

506.0000

500.9604

500.9309

500.9509

99

719.9553

719.9553

250.0000

719.9558

719.9785

719.9553

30

500.8584

500.8584

506.0000

500.8585

500.8984

500.8484

100

963.8138

963.8138

250.0000

963.8145

963.825

963.8125

31

505.9982

505.9982

505.0000

505.9987

505.9482

505.8982

101

957.9252

957.9252

165.0000

957.9285

957.9152

957.9245

32

505.9890

505.9890

505.0000

505.9899

505.999

505.889

102

1006.9391

1006.9391

165.0000

1006.9381

1006.9321

1006.9311

33

505.9872

505.9872

506.0000

505.9472

505.9472

505.8872

103

1005.9547

1005.9547

165.0000

1010.5031

1005.9547

1005.9547

34

505.8398

505.8398

506.0000

505.8394

505.8398

505.9398

104

1012.9951

1012.9951

165.0000

1012.9981

1012.9971

1012.9781

35

499.9759

499.9759

506.0000

499.9554

499.9759

499.8759

105

1019.9532

1019.9532

165.0000

1019.9512

1019.9512

1019.9572

36

499.8309

499.8309

506.0000

499.7854

499.8801

499.8325

106

953.9784

953.9784

165.0000

953.9785

953.9784

953.9778

37

240.9712

240.9712

505.0000

240.8454

240.9718

240.9745

107

951.9893

951.9893

165.0000

951.9847

951.9893

951.9898

38

240.9668

240.9668

505.0000

280.9596

240.9668

240.9154

108

1005.9502

1005.9502

165.0000

1005.957

1005.9502

1005.9522

39

773.9998

773.9998

505.0000

773.9154

773.9198

773.9896

109

1012.9827

1012.9827

180.0000

1012.9847

1012.9827

1012.9828

40

768.9143

768.9143

505.0000

768.9154

767.9123

768.9145

110

1020.9864

1020.9864

180.0000

1020.9874

1020.9864

1020.9887

41

3.484200

3.4842

505.0000

3.484295

3.984201

3.48422

111

1014.9943

1014.9943

180.0000

1014.9973

1014.9943

1014.9987

42

3.027400

3.0274

505.0000

3.027444

3.087478

3.027401

112

94.03550

94.0355

180.0000

94.78569

94.0355

94.035485

43

186.7539

186.7539

505.0000

186. 9636

186.5847

186.7525

113

94.03730

94.0373

103.0000

132.0374

94.0373

94.037378

44

216.9286

216.9286

505.0000

216.9255

216.4896

216.9287

114

94.01730

94.0173

103.0000

94.25732

94.0173

94.017325

45

249.3928

249.3928

505.0000

298.3924

249.2541

249.3928

115

244.3547

244.3547

198.0000

244.3547

244.3547

244.35474

46

249.9292

249.9292

505.0000

249.9299

249.4856

249.9293

116

244.0590

244.0590

198.0000

244.159

244.059

244.05902

47

246.5461

246.5461

505.0000

246.5445

246.1596

246.5458

117

244.1444

244.1444

312.0000

289.1844

244.1444

241.7985

48

248.6987

248.6987

505.0000

248.7854

248.6562

248.6785

118

95.32550

95.3255

312.0000

95.3215

95.3255

95.32458

49

248.7121

248.7121

537.0000

248.7854

248.7486

248.7485

119

95.01860

95.0186

308.5679

95.0166

95.0186

95.01848

50

248.8088

248.8088

537.0000

248.2541

248.7854

248.8052

120

116.1636

116.1636

308.5881

116.1536

116.1636

116.1645

51

166.6126

166.6126

537.0000

166.1548

166.8526

166.6115

121

175.0352

175.0352

163.0000

175.0152

175.0352

175.0351

52

165.0625

165.0625

537.0000

165.8651

165.7425

165.0156

122

2.00640

2.0064

163.0000

2.00646

2.0064

2.00645

53

169.5018

169.5018

549.0000

169.8745

169.8918

169.5785

123

4.04020

4.0402

95.0000

4.84021

4.0402

4.04022

54

166.3101

166.3101

549.0000

166.9658

166.3101

166.3125

124

15.0993

15.0993

95.0000

15.8992

15.0993

15.0993

55

180.0956

180.0956

549.0000

180.0956

180.7856

180.0154

125

9.00550

9.0055

511.0000

9.9755

9.0055

9.00555

56

180.2748

180.2748

549.0000

180.2254

180.7848

180.2715

126

12.0655

12.0655

511.0000

12.0555

12.0655

12.0654

57

103.1771

103.1771

501.0000

103.1741

103.1521

103.1715

127

10.0080

10.0080

511.0000

10.018

10.008

10.0084

58

198.1757

198.1757

501.0000

198.1351

198.7847

198.1745

128

112.0382

112.0382

511.0000

111.4382

112.0382

112.038

59

309.9475

309.9475

499.0000

309.9874

309.9985

309.9479

129

4.08120

4.0812

490.0000

4.7852

4.0812

4.08123

60

293.8267

293.8267

499.0000

293.8895

293.8157

293.8214

130

5.02750

5.0275

490.0000

5.9255

5.0275

5.0275

61

163.5888

163.5888

506.0000

163.5147

163.5898

163.5145

131

5.05170

5.0517

256.7772

5.0557

5.0517

5.05145

62

95.30030

95.3003

506.0000

95.30454

95.3014

95.30152

132

50.1071

50.1071

256.7802

50.9171

50.1071

50.1458

63

168.1584

168.1584

506.0000

168.1785

168.1244

168.1598

133

5.04680

5.0468

490.0000

5.0468

5.0468

5.78542

64

166.0715

166.0715

506.0000

166.0701

166.0725

166.0025

134

42.0244

42.0244

490.0000

42.9244

42.0244

42.0785

65

486.8818

486.8818

506.0000

486.8458

486.8808

486.8085

135

42.0341

42.0341

490.0000

42.9331

42.0341

42.2548

66

205.5539

205.5539

506.0000

205.7889

205.5529

205.5025

136

41.0343

41.0343

490.0000

41.9343

41.0343

41.7854

67

483.1274

483.1274

506.0000

483.1984

483.1324

483.1215

137

17.0443

17.0443

130.0000

17.9453

16.1243

17.7869

68

486.0292

486.0292

506.0000

486.1442

486.1522

486.0785

138

7.14970

7.1497

130.0000

7.1498

7.1497

7.14948

69

130.2962

130.2962

500.0000

130.2542

130.2252

130.2902

139

7.02920

7.0292

339.4395

7.0291

7.0292

7.02921

70

339.3610

339.3610

500.0000

339.3055

339.314

339.3678

140

26.4594

26.4594

339.4395

26.4894

26.4594

26.4684

       

Total power (MW)

49,342.000

49,342

49,342

49,342.000

49,342.000

49,342.000

       

Min cost ($/h)

1,560,436.71

1,560,436.0

1,657,944.8622

1,560,436.76

1,560,435.88

1,560,434.54

       

Mean cost ($/h)

1,560,446.22

1,560,445.0

1,657,944.8627

1,560,445.43

1,560,444.56

1,560,440.32

       

Max cost ($/h)

1,560,460.55

1,560,462.0

1,657,944.8652

1,560,461.66

1,560,461.52

1,560,460.89

       

Std. of cost ($/h)

0.00003

0.000458

0.0005

0.0000054

0.0000076

0.0000003

       

CPU mean time (s)

17.03

18.43

4.6

5.66

5.98

3.98

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