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arXiv · 2510.21698

Advanced Cutting-Plane Algorithms for ACOPF

Daniel Bienstock·Matias Villagra
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Abstract

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.

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Daniel Bienstock, Matias Villagra. 2025-10-24. Advanced Cutting-Plane Algorithms for ACOPF. https://arxiv.org/abs/2510.21698

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