2025/10/24 by Bienstock, Daniel, Villagra, Matias
#FOS: Mathematics #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.2510.21698
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.