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SUMMARY:Smart Grids Observability using Bilevel Programming - Claudia D’
 Ambrosio (CNRS (Centre national de la recherche scientifique))
DTSTART:20190430T123000Z
DTEND:20190430T133000Z
UID:TALK123367@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Monitoring an electrical network is an important and challengi
 ng task. Phasor measurement units (PMU) are devices that can be used for s
 tate estimation of this network. We consider a PMU placement problem and p
 ropose two new approaches to model this problem\, which take into account 
 a propagation rule based on Ohm&rsquo\;s and Kirchoff&rsquo\;s laws. First
 \, we describe the natural binary linear programming model based on an ite
 rative observability process. Then\, we remove the iteration by reformulat
 ing its fixed point conditions to a bilevel program. We propose two method
 s to solve such a problem. The first is based on the observation that the 
 integrality constraint of lower level problem can be relaxed so as to deri
 ve a single level reformulation by replacing such a problem with its dual.
  The second is a tailored cutting plane algorithm. We show through computa
 tional results that the tailored cutting plane method is much more effecti
 ve than the others on a set of instances taken from the literature.<br> Jo
 int work with Sonia Toubaline\, Pierre-Louis Poirion\, and Leo Liberti
LOCATION:Seminar Room 1\, Newton Institute
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