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Journal of Electrical Systems and Information Technology

Table 6 Optimum locations of PMU for 118-bus, 246-bus, and 300-bus under normal operations

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

Test systems

Optimal locations of PMUs

# of PMUs

BOI

SORI

Comp. time (s)

118-bus

3, 5, 9, 12, 15, 17, 21, 25, 28, 34, 37, 40, 45, 49, 52, 56, 62, 64, 68, 70, 71, 76, 79, 85, 86, 89, 92, 96, 100, 105, 110, 114

32

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

164

44.72

246-bus

6, 7, 10, 11, 21, 24, 29, 34, 40, 44, 48, 49, 54, 56, 61, 62, 63, 65, 73, 74, 75, 80, 83, 91, 93, 94, 95, 98, 100, 101, 106, 109, 117, 121, 122, 125, 126, 128, 129, 132, 133, 134, 140, 141, 142, 147, 157, 158, 160, 167, 168, 174, 180, 181, 185, 187, 190, 191, 194, 199, 201, 202, 203, 215, 216, 219, 234, 235, 243, 245

70

2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 2, 3, 1, 1, 2, 1, 1, 2, 1, 1, 4, 1, 3, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 3, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 4, 1, 3, 1, 3, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 1, 2, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 2, 1

351

181.01

300-bus

1, 2, 3, 11, 12, 15, 17, 20, 22, 23, 25, 27, 33, 37, 38, 43, 48, 49, 53, 54, 55, 59, 60, 62, 64, 65, 68, 71, 73, 79, 83, 85, 86, 88, 89, 93, 98, 99, 101, 103, 109, 111, 112, 113, 116, 118, 119, 122, 132, 135, 138, 143, 145, 152, 157, 163, 167, 173, 177, 183, 187, 189, 190, 193, 196, 202, 204, 209, 210, 211, 213, 216, 217, 219, 224, 225, 228, 237, 267, 268, 269, 270, 272, 273, 274, 276, 294

87

2, 2, 3, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 3, 1, 2, 3, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 4, 2, 3, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 4, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 3, 2, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 2, 2, 2, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1

427

231.82

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