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Table 5 Hourly generation (MW) schedule, cost (\(\times 10^{6}\)$), and CPU time (second) of dynamic economic dispatch obtained from SA

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

150.0024

135.0015

144.9656

182.0074

88.6591

117.4978

93.2986

48.7102

52.0561

43.4221

2.5372

47.87

2

169.2861

164.0750

95.6618

242.5084

74.7126

124.2574

97.5492

67.7461

53.8366

43.4206

  

3

184.8799

135.0007

155.2365

262.0329

128.0534

133.9343

102.1585

89.3892

52.9392

43.4240

  

4

150.0000

181.9025

190.9163

298.3203

176.5955

123.4629

104.0068

118.5219

55.0922

43.4206

  

5

150.0070

278.9117

211.4438

255.6995

173.2830

159.9991

96.0890

94.9458

57.1100

43.4203

  

6

214.2334

219.2741

234.2596

299.9345

223.4172

159.5642

109.2608

119.9991

53.8481

43.4189

  

7

175.2140

302.2295

288.1683

257.8746

199.9232

159.6388

129.8786

119.9980

79.9985

43.4209

  

8

193.7402

249.1671

328.3684

299.9997

230.1077

159.9989

129.9220

119.9937

79.9983

43.4205

  

9

269.6107

308.3153

339.9999

299.9989

242.9961

159.9990

129.9982

119.9994

80.0000

43.7628

  

10

304.7557

368.7936

339.9997

300.0000

243.0000

159.9985

129.9982

120.0000

79.9998

54.9969

  

11

370.9456

394.9326

339.9988

299.9998

242.9958

159.9992

129.9958

119.9987

79.9995

54.9979

  

12

415.0976

399.4280

339.9995

300.0000

242.9998

159.9983

130.0000

120.0000

79.9996

54.9994

  

13

329.9181

398.5121

340.0000

299.9998

243.0000

159.9997

129.9991

119.9986

79.9993

54.9975

  

14

244.2169

353.4629

338.1337

281.4461

234.8856

159.9936

129.9123

119.9990

79.9969

53.0353

  

15

224.1848

271.9778

312.9167

249.9984

242.9997

159.9848

129.7650

119.9959

80.0000

43.4258

  

16

208.2949

213.3178

244.3962

189.9126

230.2628

154.8714

129.6713

104.5874

79.9986

43.4202

  

17

204.6527

271.5673

198.7677

144.9524

195.0257

155.7953

129.9000

120.0000

57.1798

43.4220

  

18

223.1500

216.8604

290.5531

181.9823

241.3903

154.5984

129.8428

119.9995

75.6032

43.4213

  

19

227.0066

305.9172

311.0236

252.0665

206.4595

159.9960

129.8893

119.9986

79.9985

43.4214

  

20

252.5758

366.3819

339.9997

299.9983

242.9980

159.9995

129.9989

120.0000

79.9992

54.9982

  

21

242.5096

336.0323

328.2196

299.9964

242.9996

159.9964

129.9980

119.9997

79.9996

54.9789

  

22

216.1082

237.8512

240.1953

241.5349

236.1456

159.9079

129.9959

119.9972

52.0808

43.4313

  

23

150.0000

192.0533

182.0508

186.9352

176.1480

142.6721

129.0641

119.9987

41.9049

43.4173

  

24

150.0012

218.1755

88.9043

129.8650

155.4283

123.1737

129.0892

119.9951

52.0545

43.4145