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Table 2 Comparison of net tie-line power flows in the original network and AED-based equivalent networks for 39 bus system

From: A network science-based k-means++ clustering method for power systems network equivalence

Case no.

Tie-line combination

Original network

AED-based equivalent networks

Flow (MW)

AED-based k-means algorithm (“AED-based k-means bus clustering method” section)

AED-based k-means++ algorithm (Algorithm 3)

Flow (MW)

% deviation

Flow (MW)

% deviation

Case 1

TL25–26/TL17–18

41.30

41.50

0.48

41.34

0.10

Case 2

TL25–26/TL4–14

35.78

35.81

0.09

35.75

0.09

Case 3

TL25–26/TL6–11

41.50

40.50

2.40

40.49

2.43

Case 4

TL17–18/TL4–14

10.67

19.73

84.90

18.85

76.66

Case 5

TL17–18/TL6–11

23.58

40.52

71.82

32.76

38.93

Case 6

TL4–14/TL6–11

32.81

32.67

0.43

32.77

0.12