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Protection and Control of Modern Power Systems

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

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