Solving the multistage PMU placement problem by integer programming and equivalent network design model

Ou Sun, Neng Fan

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Recently, phasor measurement units (PMUs) are becoming widely used to measure the electrical waves on a power grid to determine the health of the system. Because of high expense for PMUs, it is important to place minimized number of PMUs on power grids without losing the function of maintaining system observability. In practice, with a budget limitation at each time point, the PMUs are placed in a multistage framework spanning in a long-term period, and the proposed multistage PMU placement problem is to find the placement strategies. Within each stage for some time point, the PMUs should be placed to maximize the observability and the complete observability should be ensured in the planned last stage. In this paper, the multistage PMU placement problem is formulated by a mixed integer program (MIP) with consideration of the zero-injection bus property in power systems. To improve the computational efficiency, another MIP, based on the equivalent network flow model for the PMU placement problem, is proposed. Numerical experiments on several test cases are performed to compare the two MIPs.

Original languageEnglish (US)
Pages (from-to)477-493
Number of pages17
JournalJournal of Global Optimization
Issue number3
StatePublished - Jul 15 2019


  • Integer programming
  • Multistage placement
  • Network design
  • PMU placement
  • Zero-injection buses

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics


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