9 papers
A Semidefinite Optimization-based Branch-and-Bound Algorithm for Several Reactive Optimal Power Flow Problems
Julie Sliwak, Miguel Anjos, Lucas Létocart +1
The Reactive Optimal Power Flow (ROPF) problem consists in computing an optimal power generation dispatch for an alternating current transmission network that respects power flow e…
Complexity of near-optimal robust versions of multilevel optimization problems
Mathieu Besançon, Miguel F. Anjos, Luce Brotcorne
Near-optimality robustness extends multilevel optimization with a limited deviation of a lower level from its optimal solution, anticipated by higher levels. We analyze the complex…
Control of Two Energy Storage Units with Market Impact: Lagrangian Approach and Horizons
Miguel F. Anjos, James R. Cruise, Albert Solà Vilalta
Energy storage and demand-side response will play an increasingly important role in the future electricity system. We extend previous results on a single energy storage unit to the…
Improving Clique Decompositions of Semidefinite Relaxations for Optimal Power Flow Problems
Julie Sliwak, Miguel Anjos, Lucas Létocart +2
Semidefinite Programming (SDP) provides tight lower bounds for Optimal Power Flow problems. However, solving large-scale SDP problems requires exploiting sparsity. In this paper, w…
Tight-and-cheap conic relaxation for the AC optimal power flow problem
Christian Bingane, Miguel F. Anjos, Sébastien Le Digabel
The classical alternating current optimal power flow problem is highly nonconvex and generally hard to solve. Convex relaxations, in particular semidefinite, second-order cone, con…
A Julia Module for Polynomial Optimization with Complex Variables applied to Optimal Power Flow
Julie Sliwak, Manuel Ruiz, Miguel F. Anjos +2
Many optimization problems in power transmission networks can be formulated as polynomial problems with complex variables. A polynomial optimization problem with complex variables…