CONICOPF: Conic relaxations for AC optimal power flow computations

Christian Bingane, Miguel F Anjos, Sebastien Le Digabel

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

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 standard second-order cone and the standard semidefinite relaxations for large-scale meshed networks in terms of optimality gap and computation time: the tight-and-cheap relaxation (TCR) and the quadratic convex relaxation (QCR). We compare these relaxations on 60 PGLib-OPF test cases with up to 1,354 buses under three operating conditions and show that TCR dominates QCR on all 20 typical (TYP) test cases, on 18 out of 20 active power increase (API), and 12 out of 20 small angle difference (SAD). Selected state-of-the-art conic relaxations are implemented in the new MATLAB-based package CONICOPF available on GitHub.
Original languageEnglish
Title of host publicationProceedings of the IEEE PES General Meeting 2021
PublisherIEEE PES
Number of pages5
Publication statusAccepted/In press - 20 Feb 2021

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