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Table 5 Statistical analysis for case 2 of the IEEE 30 bus system

From: Impact of the penetration of distributed generation on optimal reactive power dispatch

Algorithm

Best (MW)

Worst (MW)

Mean (p.u.)

Standard deviation (std.)

% of Power save

Average computation time (s)

C-PSO [34]

4.68017

5.69149

5.14339

2.8854 × 10− 3

17.3114

45.67

CI-PSO [34]

4.61244

4.87635

4.64732

5.834 × 10− 4

18.5081

56.76

LDI-PSO [34]

4.61243

4.93822

4.62908

4.851 × 10− 4

18.5083

49.57

B-DE [34]

4.61243

4.61333

4.61281

2.6 × 10− 6

18.5083

46.78

R-DE [34]

4.66755

4.98274

4.75088

6.54 × 10− 4

17.5344

54.07

SFLA [34]

4.61483

4.97653

4.72213

9.973 × 10− 4

18.4659

41.97

NMSFLA [34]

4.61181

4.61749

4.61264

9.8 × 10− 6

18.5192

23.06

ICA [34]

4.6155

4.6624

4.6397

2.7613 × 10− 3

18.4541

68.14

IWO [34]

4.6287

4.9206

4.7813

3.1584 × 10− 2

18.2208

70.45

MICA-IWO [34]

4.5984

4.6009

4.5991

8.006 × 10− 6

18.7562

69.04

PSO

4.7915

4.9387

4.9053

9.08 × 10−3

15.3445

50.73

R-PSO

4.7392

5.0006

4.8695

8.707 × 10−3

16.2686

50.75

L-PSO

4.8655

5.0222

4.9496

5.1176 × 10−3

14.0371

48.53

PSO-CFA

4.7282

4.9185

4.8334

6.668 × 10−3

16.4629

50.63

IPSO-SR

4.719

4.9316

4.84455

6.668 × 10−3

16.6254

51.13

FOA

6.2775

6.3832

6.3605

5.3887 × 10−3

−10.9099

49.28

MFOA

5.0957

5.1424

5.13425

1.724 × 10−3

9.97

52.79

JAYA

4.5983

4.5986

4.5984

9.4281 × 10−5

18.7579

50.44