Advanced Cutting-Plane Algorithms for ACOPF

Fuente: arXiv
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Main Authors: Bienstock, Daniel, Villagra, Matias
Format: Preprint
Published: 2025
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author Bienstock, Daniel
Villagra, Matias
author_facet Bienstock, Daniel
Villagra, Matias
contents We propose a disciplined, numerically stable, and scalable approach to SDP relaxations of the ACOPF problem based on linear cutting-planes. Our method can be warm-started and, owing to its linear nature, enables the computation of tight and accurate bounds for large-scale multi-period relaxations -- well beyond what nonlinear convex solvers can achieve. Preliminary experiments show promising results when benchmarked against state-of-the-art bounds on PGLIB instances.
format Preprint
id arxiv_https___arxiv_org_abs_2510_21698
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Advanced Cutting-Plane Algorithms for ACOPF
Bienstock, Daniel
Villagra, Matias
Optimization and Control
We propose a disciplined, numerically stable, and scalable approach to SDP relaxations of the ACOPF problem based on linear cutting-planes. Our method can be warm-started and, owing to its linear nature, enables the computation of tight and accurate bounds for large-scale multi-period relaxations -- well beyond what nonlinear convex solvers can achieve. Preliminary experiments show promising results when benchmarked against state-of-the-art bounds on PGLIB instances.
title Advanced Cutting-Plane Algorithms for ACOPF
topic Optimization and Control
url https://arxiv.org/abs/2510.21698