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Fig 1.

Wide area smart grid model with PMUs.

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Table 1.

Exploration of PMU placement techniques considering zero injection constraints.

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Table 1 Expand

Fig 2.

10 bus network without zero injections.

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Fig 2 Expand

Fig 3.

10 bus network with zero injections.

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Fig 4.

Flowchart of OPP with and without ZIB.

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Table 2.

IEEE radial bus networks’ optimal PMU bus placements with and without ZI buses.

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Table 2 Expand

Fig 5.

ZIB-free modified IEEE 18 bus network.

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Fig 5 Expand

Fig 6.

ZIB-enabled modified IEEE 18 bus network.

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Fig 7.

Modified IEEE 18 bus system voltage profile with and without ZI buses.

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Table 3.

Voltage magnitudes of modified IEEE 18 bus system at various PMU locations.

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Table 3 Expand

Fig 8.

IEEE 33 bus network without ZI buses.

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Fig 8 Expand

Fig 9.

IEEE 33 bus network with ZI buses.

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Fig 10.

IEEE 33 bus system voltage profile with and without ZI.

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Fig 10 Expand

Table 4.

Voltage magnitudes of IEEE 33 bus system at various PMU locations.

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Table 4 Expand

Fig 11.

IEEE 69 bus network without ZI buses.

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Fig 11 Expand

Fig 12.

IEEE 69 bus network with ZI buses.

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Fig 12 Expand

Fig 13.

IEEE 69 bus system voltage profile with and without ZIs.

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Fig 13 Expand

Table 5.

Voltage magnitudes of IEEE 69 bus system at various PMU locations.

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