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Relaxations for multi-period optimal power flow problems with discrete decision variables
Gemine, Quentin; Ernst, Damien; Louveaux, Quentin et al.
2014In Proceedings of the 18th Power Systems Computation Conference (PSCC'14)
Peer reviewed
 

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Keywords :
Multi-period optimal power flow; relaxation schemes; mixed integer non-linear programming
Abstract :
[en] We consider a class of optimal power flow (OPF) applications where some loads offer a modulation service in exchange for an activation fee. These applications can be modeled as multi-period formulations of the OPF with discrete variables that define mixed-integer non-convex mathematical programs. We propose two types of relaxations to tackle these problems. One is based on a Lagrangian relaxation and the other is based on a network flow relaxation. Both relaxations are tested on several benchmarks and, although they provide a comparable dual bound, it appears that the constraints in the solutions derived from the network flow relaxation are significantly less violated.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Gemine, Quentin ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Smart grids
Ernst, Damien  ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Smart grids
Louveaux, Quentin ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Système et modélisation : Optimisation discrète
Cornélusse, Bertrand  ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Smart grids
Language :
English
Title :
Relaxations for multi-period optimal power flow problems with discrete decision variables
Publication date :
August 2014
Event name :
18th Power Systems Computation Conference (PSCC'14)
Event place :
Wroclaw, Poland
Event date :
August 18-22, 2014
Audience :
International
Main work title :
Proceedings of the 18th Power Systems Computation Conference (PSCC'14)
Peer reviewed :
Peer reviewed
Name of the research project :
GREDOR
Funders :
Service public de Wallonie : Direction générale opérationnelle de l'aménagement du territoire, du logement, du patrimoine et de l'énergie - DG04
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