Table 4 Optimal sizing and placement of capacitor banks and PVRES: energy losses, minimum bus voltage (pu), and reduction rates for scenario 2 across various distribution networks.

From: Optimal integration of photovoltaic sources and capacitor banks considering irradiance, temperature, and load changes in electric distribution system

 

Optimal sizing and placement of capacitor banks (CB) and photovoltaic (PV)

Lowest bus voltage (pu)

Energy loss (kWh)

Energy loss reduction (%)

9 CB and 3 PVRES for IEEE 33

18 CB and 5 PVRES for IEEE 69

25 CB and 10 PVRES for ZB-ALG-Hassi Sida 157

IEEE 33

IEEE 69

ZB-ALG-Hassi Sida 157

IEEE 33

IEEE 69

ZB-ALG-Hassi Sida 157

IEEE 33

IEEE 69

ZB-ALG-Hassi Sida 157

Base case

0.90

0.90

0.89

3567.7

3797

17,995

Scenario 1

0.89

0.89

0.87

3831.3

4085.7

19,367

Techniques

WOA

PV buses

17-31-32

21-26-61

63-64

102-107-109-129-132-133-141-142-143-153

0.937

0.923

0.915

2058.4

2163.2

8182.3

46.27

47.05

57.75

CB buses

13 -16 -17-18-31-32-33

20-23-25

27-57-59

62-63-64

65

19-22-25-28-29-30-32-72-78-87-94-101-107-112-118-124-129-134-137-142-144-147-150-153-156

CB Size

150-100-50-150-150-150

150

150-150-100-150-100-50

150-150-100-100

150-150-150-150-100-150

150-150-150-150-150-150

100-150-100-150-150-150

150-150-150-150-150-150-150

PSO

PV buses

13-17-31

12-19-21

60-64

21-29-75-83-92-111-118-125-134-146

0.935

0.927

0.912

2093.6

2061.2

8853.8

45.35

50.44

54.28

CB buses

13-14-15

17-31-32

33

19-21-25

26-59-60

61-62-64

65

19-22-25-28-30-32-72-78-87-94-101-107-112-118-124-129-134-137-144-147-153-156

CB Size

100-150-100-100-100-150

100

50-150-50

100-150-50

150-100-150-150

150-150-100-50-100-150-50-150-150-100-50-150-150-150-150-150-150-150-50-150-100-100

GWO

PV buses

13-17-32

17-23-58

63-64

77-102-106-111-128

130-132-134-141-152

0.933

0.928

0.912

1959.6

1970.5

8988.4

48.85

51.77

53.58

CB buses

13-16-18

31-32-33

19-22-26

27-58-59

61-62-63

64-65

19-22-25-29-30-32-72-78-87-94-101-107-112-118-124-129-134-137-142-150-153

CB Size

150-100-100-150-150-150

50-150-50

100-150-100-100-150-50

150-150

50-150-150-50-50-100-100-150-50-50-150-150-150-50-150-150-150-150-50-100-150

EM-BT

PV buses

13-16-32

60-61-62

63-64

24-29-89-92-111-112-115

122-125-141

0.934

0.929

0.915

1951.5

1764.7

8141.4

49.06

56.80

57.96

CB buses

13-14-16

31-32-33

19-20-22-23-24-25-58-59-60-61-62-63

64-65

19-22-25-29-30-32-72-78-87-94-101-107-112-118-124-129-134-137-142-144-147-150-153-156

CB Size

150-150-100

150-150-150

50-150-50-100-100-100-100-150-150-150-150-150-150-150

150-150-150-150-150-150

150-150-150-100-150-150

150-150-150-150-150-150

150-150-50-100-150-150