RT Journal Article T1 Tight big-Ms for optimal transmission switching A1 Pineda-Morente, Salvador A1 Morales-González, Juan Miguel A1 Porras, Álvaro A1 Domínguez, Concepción K1 Conmutación (Electricidad) K1 Conmutación, Teoría de AB This paper addresses the Optimal Transmission Switching (OTS) problem in electricity networks, which aims to find an optimal power grid topology that minimizes system operation costs while satisfying physical and operational constraints. Existing methods typically convert the OTS problem into a Mixed-Integer Linear Program (MILP) using big-M constants. However, the computational performance of these approaches relies significantly on the tightness of these big-Ms. In this paper, we propose an iterative tightening strategy to strengthen the big-Ms by efficiently solving a series of bounding problems that account for the economics of the OTS objective function through an upper-bound on the generating cost. We also discuss how the performance of the proposed tightening strategy is enhanced if reduced line capacities are considered. Using the 118-bus test system we demonstrate that the proposed methodology outperforms existing approaches, offering tighter bounds and significantly reducing the computational burden of the OTS problem. PB Elsevier YR 2024 FD 2024 LK https://hdl.handle.net/10630/31793 UL https://hdl.handle.net/10630/31793 LA eng NO Salvador Pineda, Juan Miguel Morales, Álvaro Porras, Concepción Domínguez, Tight big-Ms for Optimal Transmission Switching, Electric Power Systems Research, Volume 234, 2024, 110620, ISSN 0378-7796, https://doi.org/10.1016/j.epsr.2024.110620 NO Funding for open access charge: Universidad de Málaga / CBUA DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 20 ene 2026