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

Babu, Rohit; Raj, Saurav; Mahapatra, Sheila

doi:10.1186/s43067-023-00110-4

Journal of Electrical Systems and Information Technology

Table 4 Optimum locations of PMU for 39-bus under normal operations

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

# of sets	Optimal locations of PMUs	# of PMUs	BOI	SORI	Comp. time (s)
1	2, 6, 9, 12, 14, 16, 17, 29, 32, 33, 34, 35, 36, 37	14	1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1	46	7.45
2	2, 3, 6, 9, 12, 14, 17, 20, 22, 23, 25, 32, 38	13	1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1	49	7.88
3	2, 6, 9, 10, 13, 14, 17, 19, 20, 22, 23, 25, 29	13	1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1	52	7.93
4	2, 6, 9, 12, 14, 17, 19, 20, 22, 23, 29, 31, 32, 37	14	1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1	49	7.69
5	2, 6, 9, 10, 12, 14, 17, 19, 20, 22, 23, 25, 29	13	1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1	51	7.31
6	2, 6, 9, 10, 13, 16, 17, 19, 20, 22, 23, 25, 29	13	1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1	55	7.92
7	4, 6, 13, 16, 17, 22, 25, 29, 30, 32, 33, 34, 36, 39	14	1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1	49	8.41
8	2, 5, 6, 9, 13, 16, 17, 19, 20, 22, 23, 29, 32, 37	14	1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1	54	7.14
9	2, 6, 9, 10, 12, 14, 17, 20, 22, 23, 25, 27, 29	13	1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1	51	7.73
10	2, 6, 9, 14, 17, 19, 22, 23, 25, 29, 32, 34, 37	13	1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1	48	7.59

Bold highlighted values are results that are considered the best in terms of time efficiency. They represent optimal outcomes achieved swiftly and efficiently within a given context

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