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 5 Optimum locations of PMU for 57-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	1, 4, 9, 20, 23, 27, 29, 30, 32, 36, 39, 41, 44, 46, 47, 50, 54	17	1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1	66	14.26
2	1, 4, 7, 10, 18, 21, 24, 26, 29, 30, 32, 36, 41, 45, 46, 49, 54, 57	18	1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1	67	14.52
3	1, 4, 7, 13, 20, 22, 26, 29, 30, 33, 35, 36, 41, 45, 47, 51, 54, 57	18	1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1	67	14.55
4	1, 4, 9, 20, 23, 27, 29, 30, 32, 36, 38, 41, 45, 46, 50, 54, 57	17	1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1	66	13.64
5	1, 6, 12, 15, 19, 22, 24, 25, 28, 32, 36, 42, 43, 45, 47, 50, 53, 54, 57	19	2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1	71	13.51
6	1, 4, 9, 14, 20, 23, 27, 29, 30, 32, 36, 39, 42, 43, 44, 48, 50, 54	18	1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1	66	14.29
7	1, 4, 9, 20, 24, 25, 28, 29, 32, 36, 38, 41, 45, 46, 51, 53, 57	17	1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1	63	15.40
8	1, 4, 9, 20, 23, 25, 27, 29, 32, 36, 41, 45, 46, 48, 50, 54, 57	17	1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1	63	14.64
9	1, 4, 9, 20, 24, 27, 29, 30, 32, 36, 38, 41, 44, 46, 51, 54, 57	17	1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1	67	15.20
10	1, 4, 9, 20, 24, 27, 29, 30, 32, 36, 38, 41, 44, 46, 51, 54, 57	17	1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1	67	14.00

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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