Table 5 The optimal values of water discharge rate and hydro power units for Case I.

From: Improved quadratic interpolation optimizer for stochastic short-term hydrothermal scheduling with integration of solar PV and wind power

Time

Water Discharge Rate \(({10}^{4}\boldsymbol{ }{{\varvec{m}}}^{3}/{\varvec{s}})\)

Hydro Power Units \(({\varvec{M}}{\varvec{W}})\)

Qh1

Qh2

Qh3

Qh4

PH1

PH2

PH3

PH4

1

11.0816

11.2638

23.4382

21.2584

90.0546

75.8348

9.0943

241.093

2

13.7841

13.7758

14.6004

20.1941

94.4706

79.3548

35.7912

211.517

3

13.1418

10.3254

25.5404

19.3963

90.7975

66.8799

0.0000

187.680

4

14.1541

10.9536

19.6882

12.8013

87.6743

68.0189

18.5608

148.712

5

12.0501

13.2866

23.5507

19.2678

83.5551

71.2554

0.0000

235.232

6

12.0031

12.2346

21.0513

15.0835

83.4473

66.3341

11.3070

239.174

7

8.3405

11.8377

26.9690

23.3833

69.3253

65.0727

0.0000

322.481

8

12.2871

12.2217

19.5108

18.9286

84.0714

66.2948

19.4232

299.302

9

13.4562

11.9939

25.7673

17.2133

85.9278

65.5804

0.0000

287.095

10

11.6778

14.1182

14.4466

24.8455

82.6490

71.0321

36.0702

327.407

11

12.5584

14.7880

22.9644

23.4515

84.6046

72.1896

0.0000

322.740

12

12.0375

14.6244

15.3888

21.4899

83.5265

71.9319

34.1382

314.132

13

13.7976

11.9471

16.6142

24.3315

86.2532

65.4299

30.8285

325.826

14

10.2518

12.4984

18.3700

16.3367

79.0238

67.1205

24.5158

280.153

15

12.4710

12.8404

17.6925

20.1022

84.6062

68.0774

27.1708

306.602

16

12.4395

10.7286

18.5295

16.1054

84.3786

61.0467

23.8510

278.242

17

11.1238

14.0021

13.5327

18.8102

81.0847

70.8043

37.4354

298.518

18

11.2162

12.8952

14.2372

23.7413

81.3635

68.2242

36.4273

323.809

19

13.0830

13.6360

14.1608

22.7086

85.4600

70.0323

36.5510

319.761

20

8.3403

13.6972

27.8258

18.8348

69.3244

70.1668

0.0000

298.681

21

12.9479

14.2511

11.9637

22.0875

85.2617

71.2833

38.6105

317.007

22

13.8913

14.6613

17.0968

22.9381

86.3255

71.9914

29.2778

320.717

23

14.1113

12.4213

17.4603

17.3848

86.4660

66.8948

28.0176

288.398

24

9.3178

12.9909

17.6044

21.0109

87.7772

76.6250

53.0081

289.522

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