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The evolution towards a more distributed and interconnected grid necessitates large-scale decision-making within strict temporal constraints. Machine learning (ML) paradigms have demonstrated significant potential in improving the efficacy…

系统与控制 · 电气工程与系统科学 2023-11-09 Meiyi Li , Javad Mohammadi

This paper proposes a novel machine-learning approach for predicting AC-OPF solutions that features a fast and scalable training. It is motivated by the two critical considerations: (1) the fact that topology optimization and the…

机器学习 · 计算机科学 2021-01-19 Minas Chatzos , Terrence W. K. Mak , Pascal Van Hentenryck

Learning to optimize (L2O) parametric approximations of AC optimal power flow (AC-OPF) solutions offers the potential for fast, reusable decision-making in real-time power system operations. However, the inherent nonconvexity of AC-OPF…

机器学习 · 计算机科学 2025-11-18 Shimiao Li , Aaron Tuor , Draguna Vrabie , Larry Pileggi , Jan Drgona

This paper introduces a self-supervised learning framework for approximating the Security-Constrained DC Optimal Power Flow (SC-DCOPF) problem using a parametric linear model. The approach preserves the physical structure of the DC-OPF…

最优化与控制 · 数学 2026-01-21 Anderson Anrrango , André Quisaguano , Gonzalo E. Constante-Flores , Can Li

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…

最优化与控制 · 数学 2020-07-15 Alexandre Velloso , Pascal Van Hentenryck

The primary goal of Optimal Power Flow (OPF) is to optimize the operation of a power system while meeting the demand and adhering to operational constraints. This paper presents a new approach for AC OPF. First, the approach constructs a…

最优化与控制 · 数学 2025-12-16 Mohammed N. Khamees , Kai Sun

DC Optimal Power Flow (DC-OPF) problems optimize the generators' active power setpoints while satisfying constraints based on the DC power flow linearization. The computational tractability advantages of DC-OPF problems come at the expense…

最优化与控制 · 数学 2025-12-23 Babak Taheri , Daniel K. Molzahn

Conventional optimal power flow (OPF) solvers assume full observability of the involved system states. However, in practice, there is a lack of reliable system monitoring devices in the distribution networks. To close the gap between the…

最优化与控制 · 数学 2020-03-18 Yi Guo , Xinyang Zhou , Changhong Zhao , Yue Chen , Tyler Summers , Lijun Chen

Stepwise controllable devices, such as switched capacitors or stepwise controllable loads and generators, transform the nonconvex AC optimal power flow (AC-OPF) problem into a nonconvex mixed-integer (MI) programming problem which is…

最优化与控制 · 数学 2025-10-13 Johannes Heid , Nils Bornhorst , Eric Tönges , Philipp Härtel , Denis Mende , Martin Braun

We propose a GPU accelerated proximal message passing algorithm for solving contingency-constrained DC optimal power flow problems (OPF). We consider a highly general formulation of OPF that uses a sparse device-node model and supports a…

最优化与控制 · 数学 2024-10-23 Anthony Degleris , Abbas El Gamal , Ram Rajagopal

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…

系统与控制 · 计算机科学 2020-07-24 Andreas Venzke , Lejla Halilbasic , Uros Markovic , Gabriela Hug , Spyros Chatzivasileiadis

Using deep neural networks to predict the solutions of AC optimal power flow (ACOPF) problems has been an active direction of research. However, because the ACOPF is nonconvex, it is difficult to construct a good data set that contains…

系统与控制 · 电气工程与系统科学 2021-10-06 Ling Zhang , Baosen Zhang

The growing scale of power systems and the increasing uncertainty introduced by renewable energy sources necessitates novel optimization techniques that are significantly faster and more accurate than existing methods. The AC Optimal Power…

最优化与控制 · 数学 2025-12-02 Andrew Rosemberg , Michael Klamkin , Pascal Van Hentenryck

This paper presents an end-to-end framework for calibrating wind power forecast models to minimize operational costs in two-stage power markets, where the first stage involves a distributionally robust optimal power flow (DR-OPF) model.…

系统与控制 · 电气工程与系统科学 2024-12-17 Zhirui Liang , Qi Li , Anqi Liu , Yury Dvorkin

This paper offers a methodological contribution at the intersection of machine learning and operations research. Namely, we propose a methodology to quickly predict expected tactical descriptions of operational solutions (TDOSs). The…

机器学习 · 计算机科学 2022-06-10 Eric Larsen , Sébastien Lachapelle , Yoshua Bengio , Emma Frejinger , Simon Lacoste-Julien , Andrea Lodi

Optimal power flow (OPF) is a key tool for planning and operations in energy grids. The line-flow constraints, generator loading effect, piece-wise cost functions, emission, and voltage quality cost make the optimization model non-convex…

最优化与控制 · 数学 2019-09-20 Alireza Barzegar , Ali Sadollah , Rong Su

The operation of large-scale power systems is usually scheduled ahead via numerical optimization. However, this requires models of grid topology, line parameters, and bus specifications. Classic approaches first identify the network…

系统与控制 · 电气工程与系统科学 2025-02-04 Oleksii Molodchyk , Philipp Schmitz , Alexander Engelmann , Karl Worthmann , Timm Faulwasser

The distribution optimal power flow (D-OPF) models have gained attention in recent years to optimally operate acentrally-managed distribution grid. On account of nonconvex formulation that is difficult to solve, several relaxation methods…

最优化与控制 · 数学 2019-12-10 Rahul Ranjan Jha , Anamika Dubey

The nonlinear, non-convex AC Optimal Power Flow (AC-OPF) problem is fundamental for power systems operations. The intrinsic complexity of AC-OPF has fueled a growing interest in the development of optimization proxies for the problem, i.e.,…

最优化与控制 · 数学 2025-05-09 Guancheng Qiu , Mathieu Tanneau , Pascal Van Hentenryck

The traditional machine learning models to solve optimal power flow (OPF) are mostly trained for a given power network and lack generalizability to today's power networks with varying topologies and growing plug-and-play distributed energy…

机器学习 · 计算机科学 2023-09-25 Heng Liang , Changhong Zhao