activity
20242026
collaborators

6 papers

math.OC2026

Smoothed Two-Stage Decomposition Algorithm for Solving Large-Scale Transmission and Distribution AC-OPF Problems

Juan Ospina, Manuel Garcia, Xinyi Luo +3

The integration of distributed energy resources (DERs) into the power grid has introduced new challenges to AC optimal power flow (AC-OPF) problems. Traditional OPF optimize consid…

eess.SY2026

Load Block Modeling in Distribution Systems: Network Reconfiguration for Load Restoration

David M. Fobes, Harsha Nagarajan, Manuel Garcia +2

The distribution system restoration (DSR) problem has received considerable attention over the last decade or more. Solutions to the DSR problem identify the best set or sequence o…

math.OC2026

Exploiting block triangular submatrices in KKT systems

Robert Parker, Manuel Garcia, Russell Bent

We propose a method for solving Karush-Kuhn-Tucker (KKT) systems that exploits block triangular submatrices by first using a Schur complement decomposition to isolate the block tri…

cs.LG2025

Nonlinear Optimization with GPU-Accelerated Neural Network Constraints

Robert Parker, Oscar Dowson, Nicole LoGiudice +2

We propose a reduced-space formulation for optimizing over trained neural networks where the network's outputs and derivatives are evaluated on a GPU. To do this, we treat the neur…

math.OC2025

Transient Stability-Constrained OPF: Neural Network Surrogate Models and Pricing Stability

Manuel Garcia, Nicole LoGiudice, Robert Parker +1

A Transient Stability-Constrained Optimal Power Flow (TSC-OPF) problem is proposed that enforces frequency stability constraints using Neural Network (NN) surrogate models. NNs are…

cs.LG2024

Formulations and scalability of neural network surrogates in nonlinear optimization problems

Robert B. Parker, Oscar Dowson, Nicole LoGiudice +2

We compare full-space, reduced-space, and gray-box formulations for representing trained neural networks in nonlinear constrained optimization problems. We test these formulations…