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Table 4 Optimal PMU locations considering weak buses

From: Weak bus-constrained PMU placement for complete observability of a connected power network considering voltage stability indices

Test system Indices # PMUs Weak bus constrained PMU location using BILP Comp. time/s
14- bus VCPI 5 3, 5, 7, 10, 13 0.048
LSI 5 3, 5, 7, 10, 13 0.671
FVSI 5 3, 5, 7, 10, 13 0.571
NVSI 5 3, 5, 7, 10, 13 0.768
39- bus VCPI 14 2, 4, 6, 9, 10, 13, 16, 17, 19, 20, 22, 23, 25, 29 0.373
LSI 14 2, 4, 6, 9, 10, 13, 16, 17, 19, 20, 22, 23, 25, 29 0.879
FVSI 14 2, 4, 6, 9, 10, 13, 16, 17, 19, 20, 22, 23, 25, 29 0.810
NVSI 14 2, 4, 6, 9, 10, 13, 16, 17, 19, 20, 22, 23, 25, 29 0.837
118- bus VCPI 32 3, 6, 9, 11, 12, 17, 21, 25, 28, 34, 37, 42, 45, 49, 53, 56, 62, 64, 68, 70, 71, 76, 79, 85, 86, 89, 92, 96, 100, 105, 110, 114 0.868
LSI 32 3, 6, 9, 11, 12, 17, 21, 25, 28, 34, 37, 42, 45, 49, 53, 56, 62, 64, 68, 70, 71, 76, 79, 85, 86, 89, 92, 96, 100, 105, 110, 114 0.898
FVSI 32 3, 6, 9, 11, 12, 17, 21, 25, 28, 34, 37, 42, 45, 49, 53, 56, 62, 64, 68, 70, 71, 76, 79, 85, 86, 89, 92, 96, 100, 105, 110, 114 0.894
NVSI 32 3, 6, 9, 11, 12, 17, 21, 25, 28, 34, 37, 42, 45, 49, 53, 56, 62, 64, 68, 70, 71, 76, 79, 85, 86, 89, 92, 96, 100, 105, 110, 114 0.813
300- bus VCPI 88 1, 2, 3, 10, 11, 15, 19, 23, 25, 27, 33, 37, 43, 48, 49, 53, 54, 62, 64, 68, 69, 71, 73, 76, 83, 86, 88, 92, 93, 98, 99, 101, 109, 111, 112, 113, 116, 119, 124, 132, 135, 138, 139, 143, 145, 152, 157, 163, 167, 183, 187, 188, 189, 190, 193, 196, 202, 204, 209, 210, 212, 213, 216, 218, 222, 226, 228, 230, 233, 236, 237, 238, 242, 251, 252, 253, 256, 262, 264, 268, 269, 270, 272, 275, 276, 277, 299, 300 1.351
LSI 88 1, 2, 3, 10, 11, 15, 19, 23, 25, 27, 33, 37, 43, 48, 49, 53, 54, 62, 64, 68, 69, 71, 73, 76, 83, 86, 88, 92, 93, 98, 99, 101, 109, 111, 112, 113, 116, 119, 124, 132, 135, 138, 139, 143, 145, 152, 157, 163, 167, 183, 187, 188, 189, 190, 193, 196, 202, 204, 209, 210, 212, 213, 216, 218, 222, 226, 228, 230, 233, 236, 237, 238, 242, 251, 252, 253, 256, 262, 264, 268, 269, 270, 272, 275, 276, 277, 299, 300 1.149
FVSI 88 1, 2, 3, 10, 11, 12, 15, 17, 22, 23, 25, 26, 27, 33, 37, 38, 43, 48, 49, 53, 54, 55, 58, 59, 60, 62, 64, 65, 68, 71, 73, 79, 83, 85, 86, 88, 92, 93, 98, 99, 101, 109, 111, 112, 113, 116, 118, 119, 128, 132, 135, 138, 139, 143, 145, 152, 157, 163, 167, 173, 183, 187, 188, 189, 190, 193, 196, 202, 204, 208, 210, 211, 213, 216, 217, 219, 222, 226, 228, 267, 268, 269, 270, 272, 273, 274, 276, 294 1.305
NVSI 88 1, 2, 3, 10, 11, 12, 15, 17, 22, 23, 25, 26, 27, 33, 37, 38, 43, 48, 49, 53, 54, 55, 58, 59, 60, 62, 64, 65, 68, 71, 73, 79, 83, 85, 86, 88, 92, 93, 98, 99, 101, 109, 111, 112, 113, 116, 118, 119, 128, 132, 135, 138, 139, 143, 145, 152, 157, 163, 167, 173, 183, 187, 188, 189, 190, 193, 196, 202, 204, 208, 210, 211, 213, 216, 217, 219, 222, 226, 228, 267, 268, 269, 270, 272, 273, 274, 276, 294 1.484