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Table 3 Hourly generation (MW) schedule, cost (\(\times 10^{6}\)$), and CPU time (second) of dynamic economic dispatch obtained from EP

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

178.2974

152.4782

175.9679

152.2693

82.6967

100.2570

55.1840

86.1211

32.0525

40.7531

2.5722

68.47

2

151.9730

135.0000

213.2147

201.7864

131.9888

118.5195

33.4036

82.8231

35.5465

28.5607

  

3

203.1254

163.9726

251.9514

199.1529

138.8356

113.3658

42.5714

70.8768

56.7945

47.1242

  

4

150.7934

200.2340

325.5753

226.0880

162.2524

113.6450

58.7423

96.9791

62.9590

45.6968

  

5

173.3115

144.6134

285.1757

275.9783

211.5299

135.3282

86.1134

107.2580

52.8395

47.9709

  

6

193.0859

180.9466

295.7199

294.4164

243.0000

150.2837

91.6984

119.8831

59.2527

48.5979

  

7

199.5730

227.0251

317.7981

285.0641

232.0515

149.8511

121.3454

95.4300

74.6611

53.1300

  

8

230.4454

246.3501

318.5516

281.4019

243.0000

160.0000

130.0000

118.9990

55.1984

50.9417

  

9

309.2169

325.9173

340.0000

300.0000

240.8720

159.7176

127.3408

107.4298

34.9745

50.1778

  

10

319.3131

405.6572

338.3825

291.2641

243.0000

155.7018

130.0000

120.0000

54.6931

44.5437

  

11

376.5109

470.0000

293.8462

299.8919

241.4655

145.5909

128.4700

117.7083

76.6091

45.5225

  

12

410.5210

460.0330

330.1543

290.0606

240.5785

157.8225

130.0000

99.3619

72.5975

52.6241

  

13

354.5582

458.7721

325.3415

294.7094

243.0000

158.6978

125.2569

100.0073

61.8662

35.9623

  

14

300.6076

379.5915

301.5840

285.1112

215.5048

148.7961

130.0000

119.2818

71.6677

43.9232

  

15

229.4357

300.8396

328.6496

276.8651

236.1853

136.8260

118.9267

102.5443

68.2499

37.5047

  

16

150.0000

230.9564

290.8325

285.5966

226.2529

129.9050

111.5957

95.6673

39.5550

38.3823

  

17

168.5816

155.4401

312.8637

259.7161

197.5561

142.4882

119.8778

84.3126

39.2104

40.0607

  

18

150.0000

235.2465

326.6851

295.5718

233.0072

131.9463

121.1258

103.6587

43.9754

36.0901

  

19

225.5372

252.2426

308.9457

293.8158

241.5050

160.0000

130.0000

120.0000

72.9211

29.9004

  

20

304.6380

331.5404

337.4662

300.0000

243.0000

154.7102

127.7088

118.4984

80.0000

49.6164

  

21

290.6766

310.6099

340.0000

299.9669

242.0460

159.8559

130.0000

117.6984

72.4081

32.2045

  

22

211.5595

231.5171

260.5104

288.5803

242.1627

130.7513

110.3033

101.3453

55.6514

45.1916

  

23

150.0000

165.9392

212.1930

239.0283

196.6465

98.0630

116.2304

119.0883

29.2393

37.8554

  

24

180.3674

135.0000

133.2234

190.3317

168.2021

132.2441

104.0532

98.6428

54.6286

12.8466