Optimal Multistage Scheduling of PMU Placement: An ILP Approach

• Published in: IEEE transactions on power delivery Vol. 23; no. 4; pp. 1812 - 1820
• Main Authors: Dua, D., Dambhare, S., Gajbhiye, R.K., Soman, S.A.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.10.2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Buses (vehicles); Computation; Current measurement; Delivery scheduling; Electrical engineering. Electrical power engineering; Electrical power engineering; Exact sciences and technology; Integer linear programming; Integer linear programming (ILP); Linear programming; Mathematical models; Observability; Operation. Load control. Reliability; optimal phasor placement (OPP); Optimization; phasor measurement unit (PMU); Phasor measurement units; Phasors; Placement; Power measurement; Power networks and lines; Power system measurements; Power system modeling; Scheduling; Studies; Substations; Time measurement; Voltage; zero injection measurement; Performance evaluation; Positioning; Phase measurement; Multistage method; Integer linear programming (ILP); Power system control; Phasor; zero injection measurement; Non linear phenomenon; phasor measurement unit (PMU); Optimal design; Bus system; Integer programming; Multiple solution; Phase detector; IEEE standards; Optimal planning; Non linear effect; Mathematical model; Observability; optimal phasor placement (OPP)
• ISSN: 0885-8977; 1937-4208
• DOI: 10.1109/TPWRD.2008.919046

This paper addresses various aspects of optimal phasor measurement unit (PMU) placement problem. We propose a procedure for multistaging of PMU placement in a given time horizon using an integer linear programming (ILP) framework. Hitherto, modeling of zero injection constraints had been a challenge due to the intrinsic nonlinearity associated with it. We show that zero injection constraints can also be modeled as linear constraints in an ILP framework. Minimum PMU placement problem has multiple solutions. We propose two indices, viz, BOI and SORI, to further rank these multiple solutions, where BOI is bus observability index giving a measure of number of PMUs observing a given bus and SORI is system observability redundancy index giving sum of all BOI for a system. Results on IEEE 118 bus system have been presented. Results indicate that: (1) optimal phasing of PMUs can be computed efficiently; (2) proposed method of modeling zero injection constraints improve computational performance; and (3) BOI and SORI help in improving the quality of PMU placement.