Title
An Information-Theoretic Approach to PMU Placement in Electric Power Systems
Abstract
This paper presents an information-theoretic approach to address the phasor measurement unit (PMU) placement problem in electric power systems. Different from the conventional `topological observability' based approaches, this paper advocates a much more refined, information-theoretic criterion, namely the mutual information (MI) between PMU measurements and power system states. The proposed MI criterion not only includes observability as a special case, but also rigorously models the uncertainty reduction on power system states from PMU measurements. Thus, it can generate highly informative PMU configurations. The MI criterion can also facilitate robust PMU placement by explicitly modeling probabilistic PMU outages. We propose a greedy PMU placement algorithm, and show that it achieves an approximation ratio of (1-1/e) for any PMU placement budget. We further show that the performance is the best that one can achieve, in the sense that it is NP-hard to achieve any approximation ratio beyond (1-1/e) . Such performance guarantee makes the greedy algorithm very attractive in the practical scenario of multi-stage installations for utilities with limited budgets. Finally, simulation results demonstrate near-optimal performance of the proposed PMU placement algorithm.
Year
DOI
Venue
2012
10.1109/TSG.2012.2228242
IEEE Trans. Smart Grid
Keywords
DocType
Volume
phasor measurement unit,uncertainty reduction,electric power systems,mi criterion,approximation theory,np-hard problem,probabilistic pmu outages,phasor measurement,electric power system,greedy algorithm,approximation ratio,information theory,power system reliability,greedy algorithms,greedy pmu placement algorithm,conventional topological observability,mutual information,submodular functions,probability,power systems,covariance matrix,np hard problem
Journal
4
Issue
ISSN
Citations 
1
1949-3053
24
PageRank 
References 
Authors
1.58
6
6
Name
Order
Citations
PageRank
Qiao Li118924.25
Cui Tao226937.21
qingan312212.38
Rohit Negi4126397.44
Franz Franchetti597488.39
Marija D. Ilic615816.48