Abstract | ||
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Monitoring an electrical network is an important and challenging task. Phasor measurement units are measurement devices that can be used for a state estimation of this network. In this paper we consider a PMU placement problem without conventional measurements and with zero injection nodes for a full observability of the network. We propose two new approaches to model this problem, which take into account a propagation rule based on Ohm's and Kirchoff's law. The natural binary linear programming description models an iterative observability process. We remove the iteration by reformulating its fixed point conditions to a bilevel program, which we then further reformulate to a single-level mixed-integer linear program. We also present a bilevel algorithm to solve directly the proposed bilevel model. We implemented and tested our models and algorithm: the results show that the bilevel algorithm is better in terms of running time and size of instances which can be solved. |
Year | DOI | Venue |
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2015 | 10.1007/978-3-319-26626-8_27 | COCOA |
Keywords | Field | DocType |
Bilevel program, Mixed integer linear program, Monitoring electrical network, PMU placement problem | Rule-based system,Electrical network,Observability,Mathematical optimization,Units of measurement,Bilevel optimization,Computer science,Phasor,Linear programming,Fixed point | Conference |
Volume | ISSN | Citations |
9486 | 0302-9743 | 3 |
PageRank | References | Authors |
0.43 | 5 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Sonia Toubaline | 1 | 60 | 7.54 |
Pierre-Louis Poirion | 2 | 24 | 7.43 |
Claudia D'Ambrosio | 3 | 3 | 0.43 |
Leo Liberti | 4 | 1280 | 105.20 |