Table 6 OPF solution and control variables for IEEE-30 bus system using the ARO algorithm for cases 6–14.

From: Generic optimal power flow solution associated with technical improvements and emission reduction by multi-objective ARO algorithm

VARs

Case 6

Case 7

Case 8

Case 9

Case 10

Case 11

Case 12

Case 13

Case 14

Fuel cost ($/h)

800.8

854.1

799.43

803.43

826.61

827.5

802.66

826.29

826.84

VD (p.u.)

1.693

1.837

2.462

0.1178

0.448

1.838

0.129

0.461

0.471

VS

0.129

0.127

0.117

0.1487

0.146

0.128

0.148

0.146

0.144

PL (MW)

7.654

4.345

8.699

9.845

5.488

5.218

9.309

5.486

5.461

Emission (ton/h)

0.328

0.231

0.365

0.3684

0.257

0.254

0.354

0.256

0.256

PG1 (MW)

162.43

105.02

178.19

176.98

124.77

122.97

172.85

124.69

124.36

PG2 (MW)

50.886

54.254

47.514

48.186

52.591

51.975

49.973

52.507

52.865

PG5 (MW)

22.676

37.233

21.098

21.142

31.566

30.863

21.601

30.880

31.474

PG8 (MW)

26.567

34.918

20.333

21.475

34.853

34.943

23.054

34.872

34.934

PG11 (MW)

14.309

29.903

13.872

12.228

24.828

26.164

12.656

25.579

25.299

PG13 (MW)

14.180

26.416

12.230

12.086

20.276

21.697

12.571

20.351

19.924

V1 (p.u.)

1.100

1.100

1.042

1.100

1.099

1.100

1.053

1.100

1.100

V2 (p.u.)

1.086

1.093

1.026

1.087

1.084

1.091

1.031

1.088

1.088

V5 (p.u.)

1.060

1.074

1.012

1.059

1.056

1.068

1.003

1.061

1.060

V8 (p.u.)

1.068

1.079

1.004

1.066

1.067

1.080

1.004

1.069

1.071

V11 (p.u.)

1.095

1.097

1.013

1.097

1.032

1.096

1.041

1.045

1.045

V13 (p.u.)

1.099

1.096

1.014

1.099

1.034

1.098

1.012

1.015

1.026

QC10 (Mvar)

4.525

4.019

2.879

4.867

2.336

4.430

3.383

4.524

2.191

QC12 (Mvar)

2.735

2.482

1.757

3.456

1.953

4.311

0.963

2.958

2.852

QC15 (Mvar)

4.385

3.988

3.941

4.043

3.898

4.408

4.296

4.421

2.927

QC17 (Mvar)

4.428

3.247

2.811

4.535

4.159

3.789

1.914

3.603

3.295

QC20 (Mvar)

3.362

3.535

4.941

4.964

4.648

3.902

4.942

3.892

4.810

QC21 (Mvar)

4.135

4.710

2.892

4.058

3.848

4.778

4.725

4.632

3.915

QC23 (Mvar)

3.580

2.109

4.754

4.778

4.975

2.948

4.355

2.581

3.342

QC24 (Mvar)

4.138

4.663

4.622

4.666

2.391

4.861

4.845

4.552

4.709

QC29 (Mvar)

1.897

2.925

2.926

2.839

2.336

2.166

1.748

2.501

1.811

T6-9

1.002

1.001

1.016

1.100

1.094

1.021

1.059

1.097

1.090

T6-10

0.959

0.965

0.904

0.976

0.975

0.943

0.910

1.011

1.002

T4-12

1.003

1.001

0.985

0.909

1.073

1.003

0.985

1.040

1.068

T28-27

0.969

0.975

0.969

0.935

1.029

0.978

0.965

1.032

1.018

Back to article page