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Table 7 Samples for the performance parameter comparison for standard IEEE 57 bus system for heuristic pdf method and existing methods [38,39,40]

From: Optimal Location and Sizing of Conglomerate DG- FACTS using an Artificial Neural Network and Heuristic Probability Distribution Methodology for Modern Power System Operations

Line

Line real power losses (pu)

Bus No

Accuracy (pu)

THD (%) of real power flow

Heuristic pdf

Ref [38]

Ref [39]

Ref [40]

Heuristic pdf

Ref [38]

Ref [39]

Ref [40]

Heuristic pdf

Ref [38]

Ref [39]

Ref [40]

1–2

0.51

0.62

0.67

0.74

1

0.101

0.12

0.122

0.161

16.59

18.25

19.11

19.46

2–3

0.5

0.61

0.66

0.73

2

0.088

0.107

0.109

0.148

17.61

19.27

20.13

20.48

3–4

0.52

0.63

0.68

0.75

3

0.086

0.105

0.107

0.146

16.91

18.57

19.43

19.78

4–5

0.51

0.62

0.67

0.74

4

0.094

0.113

0.115

0.154

16.57

18.23

19.09

19.44

4–6

0.53

0.64

0.69

0.76

5

0.104

0.123

0.125

0.164

15.62

17.28

18.14

18.49

6–7

0.54

0.65

0.7

0.77

6

0.101

0.12

0.122

0.161

16.62

18.28

19.14

19.49

9–13

0.6

0.71

0.76

0.83

12

0.091

0.11

0.112

0.151

18.89

20.55

21.41

21.76

13–14

0.71

0.82

0.87

0.94

13

0.093

0.112

0.114

0.153

18.55

20.21

21.07

21.42

13–15

0.72

0.83

0.88

0.95

14

0.094

0.113

0.115

0.154

17.58

19.24

20.1

20.45

1–15

0.75

0.86

0.91

0.98

15

0.082

0.101

0.103

0.142

18.58

20.24

21.1

21.45

1–16

0.61

0.72

0.77

0.84

16

0.089

0.108

0.11

0.149

19.59

21.25

22.11

22.46

24–26

0.55

0.66

0.71

0.78

7

0.099

0.118

0.12

0.159

17.61

19.27

20.13

20.48

32–34

0.54

0.65

0.7

0.77

8

0.097

0.116

0.118

0.157

17.63

19.29

20.15

20.5

41–43

0.57

0.68

0.73

0.8

9

0.095

0.114

0.116

0.155

19.24

20.9

21.76

22.11

47–49

0.55

0.66

0.71

0.78

10

0.081

0.1

0.102

0.141

18.57

20.23

21.09

21.44

56–57

0.59

0.7

0.75

0.82

11

0.082

0.101

0.103

0.142

19.58

21.24

22.1

22.45