Table 5 Findings of cases#1, 4, 5, and 6.

From: A modified white shark optimizer for optimal power flow considering uncertainty of renewable energy sources

System parameters

Min.

Max.

Case#1

Case#4

Case#5

Case#6

MWSO

WSO

MWSO

WSO

MWSO

WSO

MWSO

WSO

PTh1 (MW)

50

140

134.9079

134.9075

123.6238

123.5407

50

50.00038

50.00004

50.09053

PTh2 (MW)

20

80

28.68257

28.33868

33.32271

34.19208

46.63944

46.50491

25.51601

29.17295

PTh3 (MW)

10

35

10.00003

10.00647

10

10.13565

34.99998

34.99931

34.99994

34.67879

Pschw1 (MW)

0

75

43.89092

43.54628

46.16204

45.51818

60.2379

67.32408

74.99998

74.90116

Pschw2 (MW)

0

60

37.03272

36.12722

38.87222

38.89859

45.0599

45.19933

59.99979

59.62789

Pschs (MW)

0

50

34.6527

36.2907

36.69981

36.42417

49.57926

42.1811

39.95755

37.05092

V1

0.95 (p.u.)

1.1 (p.u.)

1.072697

1.073622

1.070067

1.068522

1.058902

1.060546

1.058482

1.055002

V2

1.057523

1.060241

1.056561

1.056407

1.090144

1.090531

1.053107

1.048497

V5

1.035992

1.037759

1.035538

1.034382

1.039766

1.040965

1.04382

1.043851

V8

1.039669

1.05288

1.09986

1.062879

1.058556

1.041715

1.049941

1.043217

V11

1.098002

1.085739

1.098908

1.097121

1.091949

1.008489

1.1

1.095706

V13

1.052598

1.031306

1.050376

1.05858

0.956792

1.031062

1.058634

1.095327

QTh1 (MVAr)

 − 20

150

 − 1.24438

 − 3.82612

 − 3.04847

 − 6.55793

 − 20

 − 20

 − 5.11021

 − 3.02559

QTh2 (MVAr)

 − 20

60

12.80724

20.18123

10.90574

13.3021

60

60

7.182402

0.861426

QTh3 (MVAr)

 − 15

40

34.97329

40

40

40

40

36.57897

37.90647

31.06411

Qschw1 (MVAr)

 − 30

35

23.78768

24.20308

22.23821

21.231

16.55817

15.12577

20.86855

25.65432

Qschw2 (MVAr)

 − 25

30

30

26.78253

30

29.1542

30

3.007821

30

30

Qschs (MVAr)

 − 20

25

16.65224

9.573353

15.5807

18.5711

 − 13.216

13.83011

18.44549

25

Total power cost ($/h)

  

781.6393

781.7939

810.3348

810.6727

866.3527

867.3017

881.2034

879.3627

Emissions (tonne/h)

  

1.762039

1.762073

0.8964

0.8919

0.0958327

0.095833

0.098817

0.09794

Emission tax ($/tonne)

  

0

0

20

20

0

0

0

0

Emissions cost ($/h)

  

0

0

17.9281

17.8388

0

0

0

0

Ploss (MW)

  

5.766852

5.816821

5.280536

5.3093

3.114166

2.815226

2.073312

2.122236

Vd (p.u.)

  

0.458416

0.437043

0.4601

0.4809

0.730868

0.55025

0.513365

0.526667