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

Protection and Control of Modern Power Systems

Table 2 Minimum number and optimal locations of PMUs, and computational time under normal operating conditions ignoring weak buses

Test system	Status of ZIBs	# PMU	Optimal PMU locations	Comp. time/s
14- bus	Ig. ZIBs	4	2 6 7 9	0.042
14- bus	Cons. ZIBs	3	2 6 9	0.056
39- bus	Ig. ZIBs	13	2 6 9 10 13 14 17 19 20 22 23 25 29	0.661
39- bus	Cons. ZIBs	8	3 8 10 16 20 23 25 29	0.154
118- bus	Ig. ZIBs	32	3 7 9 11 12 17 21 25 28 34 37 41 45 49 53 56 62 63 68 70 71 76 79 85 86 89 92 96,100,105,110,114	0.140
118- bus	Cons. ZIBs	27	2 12 15 17 21 23 28 34 37 40 45 49 52 62 63 68 71 75 77 80 85 90 94,101,105,110,114	0.403
300- bus	Ig. ZIBs	87	1, 2, 3, 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	1.249
300- bus	Cons. ZIBs	77	6, 17, 26, 53, 56, 69, 73, 87, 92, 103, 110, 117, 123, 126, 128, 129, 135, 140, 145, 147, 148, 149, 150, 153, 158, 159, 162, 164, 186, 187, 188, 189, 209, 212, 215, 216, 218, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 246, 275, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 292, 293, 295, 296, 297, 298, 299, 300	1.943