English
Related papers

Related papers: Learning Optimal Power Flow: Worst-Case Guarantees…

200 papers

The objective of this paper is to improve the accuracy and robustness of optimal power flow (OPF) formulations for distribution systems modeled down to the low-voltage point of connection of individual buildings. An approach for addressing…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Dakota Hamilton , Loraine Navarro , Dionysios Aliprantis

The Optimal Power Flow (OPF) problem is pivotal for power system operations, guiding generator output and power distribution to meet demand at minimized costs, while adhering to physical and engineering constraints. The integration of…

Machine Learning · Computer Science 2023-11-27 Chen Li , Alexander Kies , Kai Zhou , Markus Schlott , Omar El Sayed , Mariia Bilousova , Horst Stoecker

This paper presents a scalable method for improving the solutions of AC Optimal Power Flow (AC OPF) with respect to deviations in predicted power injections from wind and other uncertain generation resources. The focus of the paper is on…

Systems and Control · Computer Science 2019-01-10 Miles Lubin , Yury Dvorkin , Line Roald

Solving for globally optimal line switching decisions in AC transmission grids can be intractability slow. Machine learning (ML) models, meanwhile, can be trained to predict near-optimal decisions at a fraction of the speed. Verifying the…

Systems and Control · Electrical Eng. & Systems 2025-10-29 Samuel Chevalier , Duncan Starkenburg , Robert Parker , Noah Rhodes

This paper proposes an input convex neural network (ICNN)-Assisted optimal power flow (OPF) in distribution networks. Instead of relying purely on optimization or machine learning, the ICNN-Assisted OPF is a combination of optimization and…

Systems and Control · Electrical Eng. & Systems 2024-07-31 Rui Cheng , Yuze Yang , Wenxia Liu , Nian Liu , Zhaoyu Wang

Chance-constrained optimization has emerged as a promising framework for managing uncertainties in power systems. This work advances its application to the DC Optimal Power Flow (DC-OPF) model, developing a novel approach to uncertainty…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Tianyang Yi , D. Adrian Maldonado , Anirudh Subramanyam

We explore machine learning methods for AC Optimal Powerflow (ACOPF) - the task of optimizing power generation in a transmission network according while respecting physical and engineering constraints. We present two formulations of ACOPF…

Machine Learning · Computer Science 2019-10-22 Neel Guha , Zhecheng Wang , Matt Wytock , Arun Majumdar

Deregulated energy markets, demand forecasting, and the continuously increasing share of renewable energy sources call---among others---for a structured consideration of uncertainties in optimal power flow problems. The main challenge is to…

Optimization and Control · Mathematics 2018-08-24 Tillmann Mühlpfordt , Timm Faulwasser , Veit Hagenmeyer

The security-constrained optimal power flow (SCOPF) is fundamental in power systems and connects the automatic primary response (APR) of synchronized generators with the short-term schedule. Every day, the SCOPF problem is repeatedly solved…

Optimization and Control · Mathematics 2020-07-15 Alexandre Velloso , Pascal Van Hentenryck

Machine learning assisted optimal power flow (OPF) aims to reduce the computational complexity of these non-linear and non-convex constrained optimization problems by consigning expensive (online) optimization to offline training. The…

Machine Learning · Computer Science 2022-04-28 Thomas Falconer , Letif Mones

Existing algorithms to solve alternating-current optimal power flow (AC-OPF) often exploit linear approximations to simplify system models and accelerate computations. In this paper, we improve a recent hierarchical OPF algorithm, which…

Optimization and Control · Mathematics 2023-02-09 Heng Liang , Xinyang Zhou , Changhong Zhao

The increasing penetration of distributed energy resources (DERs) adds variability as well as fast control capabilities to power networks. Dispatching the DERs based on local information to provide real-time optimal network operation is the…

Optimization and Control · Mathematics 2025-02-24 Heng Liang , Yujin Huang , Changhong Zhao

Optimal Power Flow (OPF) is an important tool used to coordinate assets in electric power systems to ensure customer voltages are within pre-defined tolerances and to improve distribution system operations. While convex relaxations of…

Optimization and Control · Mathematics 2016-11-18 Michael D. Sankur , Roel Dobbe , Emma Stewart , Duncan S. Callaway , Daniel B. Arnold

High penetration of renewable energy sources and the increasing share of stochastic loads require the explicit representation of uncertainty in tools such as the optimal power flow (OPF). Current approaches follow either a linearized…

Systems and Control · Computer Science 2020-07-24 Andreas Venzke , Lejla Halilbasic , Uros Markovic , Gabriela Hug , Spyros Chatzivasileiadis

Machine learning, which can generate extremely fast and highly accurate black-box surrogate models, is increasingly being applied to a variety of AC power flow problems. Rigorously verifying the accuracy of the resulting black-box models,…

Systems and Control · Electrical Eng. & Systems 2024-05-08 Samuel Chevalier , Spyros Chatzivasileiadis

Traditional optimal power flow (OPF) describes the system performance only in a single snapshot while the resulting decisions are applied to an entire time period. Therefore, how well the selected snapshot can represent the entire time…

Optimization and Control · Mathematics 2019-08-28 Zongjie Wang , Ge Guo , C. Lindsay Anderson

This paper considers distribution systems with a high penetration of distributed, renewable generation and addresses the problem of incorporating the associated uncertainty into the optimal operation of these networks. Joint chance…

Optimization and Control · Mathematics 2019-03-07 Kyri Baker , Andrey Bernstein

We study the problem of determining the worst optimal value and characterizing the corresponding worst-case scenarios in minimum cost network flow problems with interval uncertainty in arc capacities. In this setting, each capacity can take…

Optimization and Control · Mathematics 2026-02-03 Miroslav Rada , Milan Hladík , Elif Radová Garajová , Francesco Carrabs , Raffaele Cerulli , Ciriaco D'Ambrosio

Managing uncertainty and variability in power injections has become a major concern for power system operators due to the increasing levels of fluctuating renewable energy connected to the grid. This work addresses this uncertainty via a…

Optimization and Control · Mathematics 2020-05-05 Alejandra Pena-Ordieres , Daniel Molzahn , Line Roald , Andreas Waechter

Flow matching has emerged as a powerful framework for generative modeling, offering computational advantages over diffusion models by leveraging deterministic Ordinary Differential Equations (ODEs) instead of stochastic dynamics. While…

Machine Learning · Computer Science 2025-03-13 Chengyue Gong , Xiaoyu Li , Yingyu Liang , Jiangxuan Long , Zhenmei Shi , Zhao Song , Yu Tian