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Table 3 Optimum locations of PMU for 30-bus under normal operations

From: Allocation of synchronized phasor measurement units for power grid observability using advanced binary accelerated particle swarm optimization approach

# of sets

Optimal locations of PMUs

# of PMUs

BOI

SORI

Comp. time (s)

1

1, 5, 8, 11, 12, 16, 19, 22, 24, 27

10

1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1

36

3.42

2

1, 7, 8, 11, 12, 16, 19, 22, 24, 27

10

1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1

36

2.94

3

1, 5, 11, 12, 17, 19, 21, 24, 27, 28

10

1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1

35

2.96

4

3, 6, 7, 11, 13, 15, 16, 19, 21, 25, 30

11

1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1

39

2.92

5

1, 5, 10, 11, 12, 18, 24, 26, 28, 30

10

1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1

37

2.43

6

3, 5, 8, 11, 13, 14, 17, 19, 21, 23, 27

11

1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

33

2.45

7

3, 5, 11, 13, 15, 16, 20, 22, 27, 28

10

1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

33

2.91

8

3, 5, 10, 11, 12, 18, 24, 26, 28, 30

10

1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1

37

3.04

9

1, 7, 8, 11, 12, 16, 19, 21, 23, 27

10

1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

34

2.82

10

1, 7, 11, 12, 17, 19, 22, 23, 27, 28

10

1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1

35

2.61

  1. Bold highlighted values are results that are considered the best in terms of time efficiency. They represent optimal outcomes achieved swiftly and efficiently within a given context