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Optimal power flow (OPF) is a critical optimization problem for power systems to operate at points where cost or other operational objectives are optimized. Due to the non-convexity of the set of feasible OPF operating points, it is…

最优化与控制 · 数学 2025-03-03 Daniel Turizo , Diego Cifuentes , Anton Leykin , Daniel K. Molzahn

Solving the non-convex optimal power flow (OPF) problem for large-scale power distribution systems is computationally expensive. An alternative is to solve the relaxed convex problem or linear approximated problem, but these methods lead to…

系统与控制 · 电气工程与系统科学 2022-11-09 Rabayet Sadnan , Anamika Dubey

The optimal power flow (OPF) problem, which plays a central role in operating electrical networks is considered. The problem is nonconvex and is in fact NP hard. Therefore, designing efficient algorithms of practical relevance is crucial,…

最优化与控制 · 数学 2014-08-20 S. Magnússon , P. C. Weeraddana , C. Fischione

In this paper, we consider the scenario-based two-stage stochastic DC optimal power flow (OPF) problem for optimal and reliable dispatch when the load is facing uncertainty. Although this problem is a linear program, it remains…

系统与控制 · 电气工程与系统科学 2024-09-17 Ling Zhang , Daniel Tabas , Baosen Zhang

Optimal power flow (OPF) is a critical optimization problem that allocates power to the generators in order to satisfy the demand at a minimum cost. Solving this problem exactly is computationally infeasible in the general case. In this…

系统与控制 · 电气工程与系统科学 2022-10-18 Damian Owerko , Fernando Gama , Alejandro Ribeiro

The massive integration of distributed energy resources changes the operational demands of the electric power distribution system, motivating optimization-based approaches. The added computational complexities of the resulting optimal power…

最优化与控制 · 数学 2023-07-04 Yunqi Luo , Rabayet Sadnan , Bala Krishnamoorthy , Anamika Dubey

One of the most common control decisions faced by power system operators is the question of how to dispatch generation to meet demand for power. This is a complex optimization problem that includes many nonlinear, non convex constraints as…

最优化与控制 · 数学 2013-06-14 Russell Bent , Daniel Bienstock , Michael Chertkov

In this paper, we develop an online method that leverages machine learning to obtain feasible solutions to the AC optimal power flow (OPF) problem with negligible optimality gaps on extremely fast timescales (e.g., milliseconds), bypassing…

机器学习 · 计算机科学 2019-10-04 Ahmed Zamzam , Kyri Baker

Optimal power flow (OPF) is a fundamental tool for analyzing the characteristics of bipolar DC distribution network (DCDN). However, existing OPF models face challenges in reflecting the power distribution and exchange of bipolar DCDN…

系统与控制 · 电气工程与系统科学 2023-07-06 Yiyao Zhou , Qianggang Wang , Yuan Chi , Jianquan Liao , Tao Huang , Niancheng Zhou , Xiaolong Xu , Xuefei Zhang

The optimal power flow (OPF) problem seeks to control power generation/demand to optimize certain objectives such as minimizing the generation cost or power loss in the network. It is becoming increasingly important for distribution…

最优化与控制 · 数学 2013-07-02 Lingwen Gan , Na Li , Ufuk Topcu , Steven H. Low

Efficiently solving large-scale optimal power flow (OPF) problems is challenging due to the high dimensionality and interconnectivity of modern power systems. Decomposition methods offer a promising solution via partitioning large problems…

最优化与控制 · 数学 2025-12-30 Mohannad Alkhraijah , Devon Sigler , Daniel K. Molzahn

This paper focuses on an AC optimal power flow (OPF) problem for distribution feeders equipped with controllable distributed energy resources (DERs). We consider a solution method that is based on a continuous approximation of the projected…

最优化与控制 · 数学 2026-02-26 Damola Ajeyemi , Yiting Chen , Antonin Colot , Jorge Cortes , Emiliano Dall'Anese

Optimal Power Flow (OPF) is a core optimization problem in power system operation and planning, aiming to minimize generation costs while satisfying physical constraints such as power flow equations, generator limits, and voltage limits.…

机器学习 · 计算机科学 2025-12-02 Xuezhi Liu

Solving the AC optimal power flow problem (AC-OPF) is critical to the efficient and safe planning and operation of power grids. Small efficiency improvements in this domain have the potential to lead to billions of dollars of cost savings,…

The DC Optimal Power Flow (DC-OPF) problem is fundamental to power system operations, requiring rapid solutions for real-time grid management. While traditional optimization solvers provide optimal solutions, their computational cost…

机器学习 · 计算机科学 2025-12-15 Kshitiz Khanal

The growing penetration of distributed energy resources (DERs) is leading to continually changing operating conditions, which need to be managed efficiently by distribution grid operators. The intermittent nature of DERs such as solar…

系统与控制 · 电气工程与系统科学 2022-07-21 Kshitij Girigoudar , Ashley M. Hou , Line A. Roald

The alternating current optimal power flow (AC-OPF) problem is critical to power system operations and planning, but it is generally hard to solve due to its nonconvex and large-scale nature. This paper proposes a scalable decomposition…

最优化与控制 · 数学 2020-06-12 Shenyinying Tu , Andreas Waechter , Ermin Wei

The incorporation of stochastic loads and generation into the operation of power grids gives rise to an exposure to stochastic risk. This risk has been addressed in prior work through a variety of mechanisms, such as scenario generation or…

最优化与控制 · 数学 2017-11-06 Daniel Bienstock , Apurv Shukla

The AC Optimal Power Flow (AC-OPF) is a key building block in many power system applications. It determines generator setpoints at minimal cost that meet the power demands while satisfying the underlying physical and operational…

信号处理 · 电气工程与系统科学 2020-07-01 Minas Chatzos , Ferdinando Fioretto , Terrence W. K. Mak , Pascal Van Hentenryck

The optimal power flow (OPF) is an optimization model dedicated to the development of computational tools used for the planning and operation of electric power systems (EPS). In this work, based on the polar formulation, an extended convex…