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Table 16 Simulation results for TSys-2 (6-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

PSO

GA

MTVPSO

IPSO

EHM

BCO

NCS

MPSO-TVAC

IPSO-TVAC

θ-PSO

aDE

aPSO

haDEPSO

1

446.986

474.8066

451.5204

449.802

449.1546

444.9513

446.71

448.170

447.5840

447.3555

451.2214

451.5384

451.5204

2

170.196

178.6363

172.1750

171.042

173.0613

173.8016

173.01

173.291

173.2010

173.2577

172.452

172.825

172.175

3

252.902

262.2089

258.4186

250.865

266.0092

263.3943

265.00

263.145

263.3310

263.3848

258.5174

259.3497

258.4186

4

150.000

134.2826

140.6441

150.000

127.1203

138.6992

139.00

138.714

138.8520

139.0440

140.6441

140.5341

140.6441

5

178.780

151.9039

162.0797

159.347

174.2603

167.9755

165.23

165.960

165.3280

165.3317

162.0797

161.0893

162.0797

6

77.085

74.1812

90.3415

94.633

85.8777

87.1664

86.78

86.691

87.1500

87.0593

90.3415

90.1115

90.3415

Total power (MW)

1275.95

1276.03

1275.1795

1275.69

1275.4834

1275.9882

1275.7

1275.97

1275.4460

1275.433

1275.256

1275.448

1275.179

Power loss (MW)

12.95

13.0217

12.1795

12.69

12.4834

12.9864

12.733

12.97

12.4460

12.4429

12.256

12.448

12.179

Power balance (MW)

0.000

0.0083

0.000

0.000

0.0

0.0018

0.0048

0.000

0.000

− 0.0099

0.000

0.000

0.000

Min cost ($/h)

15,450.00

15,459.00

15,441.1084

15,453.50

15,441.5974

15,450.031

15,447.00

15,449.91

15,443.063

15,442.9411

15,441.3561

15,441.8451

15,440.1288

Mean cost ($/h)

15,454.00

15,461.35

15,441.1087

15,462.59

15,442.8547

15,452.257

15,448.58

15,450.17

15,443.582

15,442.9419

15,442.0215

15,443.2215

15,441.6548

Max cost ($/h)

15,492.00

15,485.87

15,441.1104

15,468.48

15,446.5874

15,455.458

15,449.85

15,451.57

155,445.114

15,442.9500

15,446.7845

15,447.1847

15,444.8541

Std. of cost ($/h)

0.0025

0.0078

0.0031

0.84

0.00046

0.0069

0.00145

0.37

0.00255

0.0015

0.0027

0.0031

0.0022

CPU mean time (s)

14.89

41.58

0.32

1.25

0.32

3.10

7.58

1.68

0.89

5.4429

0.38

0.41

0.34