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Table 12 Radial and zero injection buses

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

Test systems

# of radial buses

# of zero injection buses

Position of radial buses

Position of ZIBs

14-bus

1

1

8

7

30-bus

3

6

11, 13, 26

6, 9, 22, 25, 27, 28

39-bus

9

12

30, 31, 32, 33, 34, 35, 36, 37, 38

1, 2, 5, 6, 9, 10, 11, 13, 14, 17, 19, 22

57-bus

15

4, 7, 11, 21, 22, 24, 26, 34, 36, 37, 39, 40, 45, 46, 48

118-bus

7

10

10, 73, 87, 111, 112, 116, 117

5, 9, 30, 37, 38, 63, 64, 68, 71, 81

246-bus

34

60

2, 4, 5, 12, 30, 31, 38, 41, 47, 51, 52, 53, 58, 76, 77, 112, 120, 123, 124, 135, 149, 153, 156, 159, 224, 246

51, 53, 54, 56, 58, 61, 62, 63, 69, 70, 71, 72, 73, 74, 75, 80, 81, 86, 102, 103, 104, 107, 122, 126, 129, 131, 147, 154, 155, 167, 175, 179, 180, 183, 209, 210, 211, 212, 213, 214, 215, 216, 217, 221, 222, 226, 229, 230, 231, 232, 233, 234, 236, 237, 238, 239, 240, 241, 243, 244

300-bus

69

65

69, 150, 164, 192, 201, 206, 209, 212, 215, 218, 220, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 275, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 292, 293, 295, 296, 297, 298, 299, 300

4, 7, 12, 16, 18, 23, 28, 29, 30, 33, 36, 39, 40, 52, 54, 56, 57, 62, 65, 70, 71, 72, 73, 82, 94, 95, 96, 107, 108, 109, 110, 111, 112, 113, 123, 129, 130, 137, 139, 143, 144, 145, 147, 148, 153, 172, 173, 174, 189, 191, 198, 205, 216, 219, 223, 245, 246, 266, 270, 271, 272, 273, 276, 291

  1. “–” entry means not reported