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Probabilistic multistage PMU placement in electric power systems

Aminifar, F ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1109/TPWRD.2010.2090907
  3. Abstract:
  4. This paper presents an optimization model for the calculation of the minimum number of phasor measurement units (PMUs) in electrical power networks. The problem constraint is a predefined probability of observability associated with each bus. The mixed-integer programming is used for the proposed optimization and an efficient linearization technique is proposed to convert the nonlinear function representing the probability of observability into a set of linear expressions. The PMU placement is staged in a multi-year planning horizon due to financial and physical constraints. The average probability of observability is maximized at the intermediate planning stages, subject to a limited number of PMU placements, that would satisfy the horizon year schedule. In addition, network expansion scenarios associated with intermediate stages are taken into account. Numerical studies are conducted on a nine-bus system and the IEEE 57-bus system and the results are analyzed
  5. Keywords:
  6. Mixed-integer programming (MIP) ; Optimal placement of phasor measurement units ; Bus systems ; Electrical power networks ; Intermediate stage ; Linear expression ; Linearization technique ; Multi-year planning ; Network expansion ; Nonlinear functions ; Numerical studies ; Optimal placements ; Optimization models ; Phasor measurement unit ; Physical constraints ; Planning stages ; PMU placement ; Probabilistic observability ; Problem constraints ; Buses ; Electric power system interconnection ; Observability ; Optimization ; Phase measurement ; Probability ; Units of measurement ; Integer programming
  7. Source: IEEE Transactions on Power Delivery ; Vol. 26, issue. 2 , 2011 , p. 841-849 ; ISSN: 08858977
  8. URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=5669370