Title
Observing the State of a Smart Grid Using Bilevel Programming.
Abstract
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
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 Toubaline1607.54
Pierre-Louis Poirion2247.43
Claudia D'Ambrosio330.43
Leo Liberti41280105.20