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math.OC2024
Slow convergence of the moment-SOS hierarchy for an elementary polynomial optimization problem
Didier Henrion, Adrien Le Franc, Victor Magron
We describe a parametric univariate quadratic optimization problem for which the moment-SOS hierarchy has finite but increasingly slow convergence when the parameter tends to its l…
math.OC2023
Minimal Sparsity for Second-Order Moment-SOS Relaxations of the AC-OPF Problem
Adrien Le Franc, Victor Magron, Jean-Bernard Lasserre +2
AC-OPF (Alternative Current Optimal Power Flow)aims at minimizing the operating costs of a power gridunder physical constraints on voltages and power injections.Its mathematical fo…
math.OC2023
Controlling Microgrids Without External Data: A Benchmark of Stochastic Programming Methods
Alban Puech, Tristan Rigaut, Adrien Le Franc +6
Microgrids are local energy systems that integrate energy production, demand, and storage units. They are generally connected to the regional grid to import electricity when local…