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20182026
most citedTight-and-cheap conic relaxation for the optimal reactive power dispatch problem

58 citations · 145 across the 10 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

math.OC2019

Improving Clique Decompositions of Semidefinite Relaxations for Optimal Power Flow Problems

Julie Sliwak, Miguel Anjos, Lucas Létocart +2

Semidefinite Programming (SDP) provides tight lower bounds for Optimal Power Flow problems. However, solving large-scale SDP problems requires exploiting sparsity. In this paper, w…

math.OC2019

Tight-and-cheap conic relaxation for the AC optimal power flow problem

Christian Bingane, Miguel F. Anjos, Sébastien Le Digabel

The classical alternating current optimal power flow problem is highly nonconvex and generally hard to solve. Convex relaxations, in particular semidefinite, second-order cone, con…

math.OC2019★ 1 cited

Robust Bilevel Optimization for Near-Optimal Lower-Level Solutions

Mathieu Besançon, Miguel F. Anjos, Luce Brotcorne

Bilevel optimization problems embed the optimality of a subproblem as a constraint of another optimization problem. We introduce the concept of near-optimality robustness for bilev…

math.OC2019

A Julia Module for Polynomial Optimization with Complex Variables applied to Optimal Power Flow

Julie Sliwak, Manuel Ruiz, Miguel F. Anjos +2

Many optimization problems in power transmission networks can be formulated as polynomial problems with complex variables. A polynomial optimization problem with complex variables…

math.OC2019★ 7 cited

CONICOPF: Conic relaxations for AC optimal power flow computations

Christian Bingane, Miguel F. Anjos, Sébastien Le Digabel

Computational speed and global optimality are key needs for practical algorithms for the optimal power flow problem. Two convex relaxations offer a favorable trade-off between the…