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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…

math.OC2026

Efficient Graph Partitioning under Resource Constraints: A Cutting-Plane Framework for Distribution Grids

Duong Thuy Anh Nguyen, Harsha Nagarajan, Robert Ferrando +2

This paper presents an optimal network topology control framework using cutting-plane methods for efficient network partitioning with controllable edges. The objective is to enable…

math.OC2026

A Hybrid Decomposition Approach for Stochastic Unit Commitment with Combined-Cycle Generators

Rosemary Barrass, Harsha Nagarajan, Mathieu Tanneau +2

The U.S. power grid is undergoing a major paradigm shift with the increased development of renewable generators, electric vehicles, and data centers. In response to this growing ne…

math.OC2024

A Parametric, Second-Order Cone Representable Model of Fairness for Decision-Making Problems

Kaarthik Sundar, Deepjyoti Deka, Russell Bent

The article develops a parametric model of fairness called "-fairness" that can be represented using a single second-order cone constraint and incorporated into existi…

math.OC2024

Exact and Heuristic Approaches for the Stochastic N-k Interdiction in Power Grids

Kaarthik Sundar, Andrew Mastin, Manuel Garcia +2

The article introduces the stochastic N-k interdiction problem for power grid operations and planning that aims to identify a subset of k components (out of N components) that maxi…