Strengthening convex relaxations with bound tightening for power network optimization

Carleton Coffrin*, Hassan L. Hijazi, Pascal Van Hentenryck

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    48 Citations (Scopus)

    Abstract

    Convexification is a fundamental technique in (mixedinteger) nonlinear optimization and many convex relaxations are parametrized by variable bounds, i.e., the tighter the bounds, the stronger the relaxations. This paper studies how bound tightening can improve convex relaxations for power network optimization. It adapts traditional constraint-programming concepts (e.g., minimal network and bound consistency) to a relaxation framework and shows how bound tightening can dramatically improve power network optimization. In particular, the paper shows that the Quadratic Convex relaxation of power flows, enhanced by bound tightening, almost always outperforms the state-of-the-art Semi-Definite Programming relaxation on the optimal power flow problem.

    Original languageEnglish
    Title of host publicationPrinciples and Practice of Constraint Programming - 21st International Conference, CP 2015, Proceedings
    EditorsGilles Pesant
    PublisherSpringer Verlag
    Pages39-57
    Number of pages19
    ISBN (Print)9783319232188
    DOIs
    Publication statusPublished - 2015
    Event21st International Conference on the Principles and Practice of Constraint Programming, CP 2015 - Cork, Ireland
    Duration: 31 Aug 20154 Sept 2015

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume9255
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Conference

    Conference21st International Conference on the Principles and Practice of Constraint Programming, CP 2015
    Country/TerritoryIreland
    CityCork
    Period31/08/154/09/15

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