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Table 1 Hourly generation (MW) schedule, cost (\(\times 10^{6}\)$), and CPU time (second) obtained from dynamic economic dispatch from DE

From: Dynamic economic dispatch: a comparative study for differential evolution, particle swarm optimization, evolutionary programming, genetic algorithm, and simulated annealing

Hour

\({\rm P}_{1}\)

\({\rm P}_{2}\)

\({\rm P}_{3}\)

\({\rm P}_{4}\)

\({\rm P}_{5}\)

\({\rm P}_{6}\)

\({\rm P}_{7}\)

\({\rm P}_{8}\)

\({\rm P}_{9}\)

\({\rm P}_{10}\)

Cost

CPU time

1

150.0023

135.0000

99.3971

130.0884

134.8637

130.7406

93.3093

119.9992

52.0598

10.0005

2.5003

45.68

2

150.0041

151.4090

98.8454

173.8606

173.0558

147.6245

85.2620

119.9991

22.2828

10.0202

  

3

150.0049

135.0059

177.4829

181.4962

184.7015

142.3316

103.1999

119.9994

52.1827

40.0179

  

4

150.0000

198.1133

235.2510

192.4256

168.5245

155.7928

129.5929

119.9994

48.8509

43.4193

  

5

199.5846

194.9589

228.6988

232.4826

173.9633

145.4818

129.6382

119.9993

52.0771

43.4303

  

6

204.3037

214.7293

256.7306

244.9424

223.0072

159.9992

129.7790

119.9997

79.9974

43.4224

  

7

196.2184

215.7100

330.8211

253.0177

230.3517

156.3752

129.7308

119.9974

79.9926

43.4255

  

8

203.8212

221.1860

338.4768

299.9994

237.9047

159.9978

129.7447

119.9994

79.9977

43.4287

  

9

267.0289

299.6440

339.9952

299.9993

242.9981

159.9981

129.8928

119.9998

79.9956

54.9987

  

10

311.4126

362.1257

340.0000

299.9998

242.9991

160.0000

129.9997

120.0000

79.9995

54.9998

  

11

368.7806

397.0834

339.9981

300.0000

242.9996

159.9988

129.9999

120.0000

79.9999

54.9994

  

12

359.9575

454.5160

340.0000

299.9993

243.0000

159.9998

129.9967

119.9999

79.9992

54.9985

  

13

344.5213

383.8998

339.9993

300.0000

242.9992

159.9999

129.9996

119.9989

80.0000

54.9999

  

14

279.9978

305.5589

337.4480

299.9571

242.9963

156.6715

129.9970

119.9987

78.7665

43.4217

  

15

218.3373

238.0725

300.2687

299.9968

242.9983

160.0000

129.9992

119.9994

80.0000

45.0862

  

16

150.0060

173.0080

232.6009

270.1371

240.8416

159.6082

129.7414

119.9973

78.3523

43.4221

  

17

199.5903

135.0895

225.9981

244.4318

230.8371

136.8053

129.7877

119.9996

53.9852

43.4227

  

18

218.2552

201.3210

212.2215

292.9677

233.1928

159.9959

129.9329

119.9995

65.6852

43.4266

  

19

222.2039

245.1578

291.0885

300.0000

242.9921

159.9998

129.9972

119.9998

80.0000

43.4184

  

20

295.3769

323.7551

339.8164

299.9942

242.9711

159.9945

129.9967

119.9983

79.9978

54.9604

  

21

240.4714

326.1261

339.9993

300.0000

243.0000

159.9981

129.9946

120.0000

80.0000

54.9986

  

22

160.4729

246.1266

288.0628

260.6882

233.1695

159.3605

129.7499

103.8490

52.0353

43.4261

  

23

150.0000

169.8554

210.8364

238.6813

187.8379

122.4697

107.5329

85.3143

48.3700

43.4208

  

24

150.0009

135.0020

132.5246

215.2546

174.0883

84.9670

129.6527

93.0678

51.5500

43.4249