Abstract
This chapter presents a linear-programming-based optimal solution for an Optimal Placement Problem (OPP) of Synchrophasors or Phasor Measurement Units (PMU). With the increasing use of Synchrophasors for smart-grid monitoring and control, the problem with PMU placement has become a major concern due to its large installation costs. This chapter utilizes an Integer Linear Programming (ILP) approach to find optimal solutions. We show that the performance of our LP constraints and the formulation makes the ILP approach very attractive for smaller utilities that have limited budgets. This is shown using with and without zero-injection cases in programmed AMPL language using CPLEX solver. We also propose an Optimal Redundancy Criterion (ORC) which assists utilities with providing redundant observability for critical buses in the system. Our approach yields full and redundant observabilities within a few milliseconds for different cases, such as IEEE 300 test systems and an Indian power grid.
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Ranganathan, P., Nygard, K.E. (2017). Placement of Synchrophasors Using Linear Programming and Zero-Injection Constraints. In: Distributed Linear Programming Models in a Smart Grid. Power Electronics and Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-52617-1_10
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DOI: https://doi.org/10.1007/978-3-319-52617-1_10
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