Probabilistic Multistage PMU Placement in Electric Power Systems

• Published in: IEEE transactions on power delivery 2011-04, Vol.26 (2), p.841-849
• Main Authors: Aminifar, F, Fotuhi-Firuzabad, M, Shahidehpour, M, Khodaei, A
• Format: Article
• Language: English
• Subjects: Applied sciences; Availability; Buses (vehicles); Electric power generation; Electrical engineering. Electrical power engineering; Electrical power engineering; Exact sciences and technology; Horizon; Indexes; Mathematical models; Miscellaneous; Mixed-integer programming (MIP); Networks; Nonlinearity; Observability; Operation. Load control. Reliability; optimal placement of phasor measurement units; Optimization; Phasor measurement units; Placement; Power networks and lines; Power transmission lines; Probabilistic logic; probabilistic observability; Staged; Studies; Transmission line measurements
• ISSN: 0885-8977; 1937-4208
• DOI: 10.1109/TPWRD.2010.2090907

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.