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Power grid operators typically solve large-scale, nonconvex optimal power flow (OPF) problems throughout the day to determine optimal setpoints for generators while adhering to physical constraints. Despite being at the heart of many OPF…

最优化与控制 · 数学 2020-11-03 Kyri Baker

The optimal power flow (OPF) is a multi-valued, non-convex mapping from loads to dispatch setpoints. The variability of system parameters (e.g., admittances, topology) further contributes to the multiplicity of dispatch setpoints for a…

系统与控制 · 电气工程与系统科学 2026-03-17 Milad Hoseinpour , Vladimir Dvorkin

To shift the computational burden from real-time to offline in delay-critical power systems applications, recent works entertain the idea of using a deep neural network (DNN) to predict the solutions of the AC optimal power flow (AC-OPF)…

最优化与控制 · 数学 2021-11-12 Manish K. Singh , Vassilis Kekatos , Georgios B. Giannakis

The Reactive Optimal Power Flow (ROPF) problem consists in computing an optimal power generation dispatch for an alternating current transmission network that respects power flow equations and operational constraints. Some means of action…

机器人学 · 计算机科学 2021-03-26 Julie Sliwak , Miguel Anjos , Lucas Létocart , Emiliano Traversi

The optimal power flow (OPF) problem is fundamental in power system operations and planning. Large-scale renewable penetration in distribution networks calls for real-time feedback control, and hence the need for fast and distributed…

最优化与控制 · 数学 2016-05-19 Qiuyu Peng , Steven H. Low

Training learning parameterizations to solve optimal power flow (OPF) with pointwise constraints is proposed. In this novel training approach, a learning parameterization is substituted directly into an OPF problem with constraints required…

系统与控制 · 电气工程与系统科学 2025-10-24 Damian Owerko , Anna Scaglione , Alejandro Ribeiro

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

Optimal power flow (OPF) is an important problem for power generation and it is in general non-convex. With the employment of renewable energy, it will be desirable if OPF can be solved very efficiently so its solution can be used in real…

最优化与控制 · 数学 2011-09-27 Albert Y. S. Lam , Baosen Zhang , David Tse

We introduce a quadratically-constrained approximation (QCAC) of the AC optimal power flow (AC-OPF) problem. Unlike existing approximations like the DC-OPF, our model does not rely on typical assumptions such as high reactance-to-resistance…

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

AC optimal power flow (AC OPF) is a fundamental problem in power system operation and control. Accurately modeling the network physics via the AC power flow equations makes AC OPF a challenging nonconvex problem that results in significant…

最优化与控制 · 数学 2023-07-06 Nafis Sadik , Mohammad Rasoul Narimani

This paper introduces a framework to capture previously intractable optimization constraints and transform them to a mixed-integer linear program, through the use of neural networks. We encode the feasible space of optimization problems…

系统与控制 · 电气工程与系统科学 2022-07-15 Ilgiz Murzakhanov , Andreas Venzke , George S. Misyris , Spyros Chatzivasileiadis

The increasing penetration of renewable energy resources, paired with the fact that load can vary significantly, introduce a high degree of uncertainty in the behavior of modern power grids. Given that classical dispatch solutions are…

最优化与控制 · 数学 2019-05-31 Mohammadreza Chamanbaz , Fabrizio Dabbene , Constantino Lagoa

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…

最优化与控制 · 数学 2016-11-18 Michael D. Sankur , Roel Dobbe , Emma Stewart , Duncan S. Callaway , Daniel B. Arnold

The growing penetration of distributed energy resources (DERs), electric vehicles (EVs), and heat pumps (HPs) in distribution networks underscores the need for secure, computationally efficient optimal power flow (OPF) solutions.…

系统与控制 · 电气工程与系统科学 2026-04-15 Savvas Panagi , Chrysovalantis Spanias , Petros Aristidou

In recent years, there has been significant interest in the development of machine learning-based optimization proxies for AC Optimal Power Flow (AC-OPF). Although significant progress has been achieved in predicting high-quality primal…

机器学习 · 计算机科学 2024-03-27 Guancheng Qiu , Mathieu Tanneau , Pascal Van Hentenryck

Optimal power flow problems (OPFs) are mathematical programs used to determine how to distribute power over networks subject to network operation constraints and the physics of power flows. In this work, we take the view of treating an OPF…

最优化与控制 · 数学 2020-03-06 Fengyu Zhou , James Anderson , 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

The integration of large-scale renewable generation has major implications on the operation of power systems, two of which we address in this work. First, system operators have to deal with higher degrees of uncertainty due to forecast…

系统与控制 · 计算机科学 2019-06-17 Andreas Venzke , Lejla Halilbasic , Adelie Barre , Line Roald , Spyros Chatzivasileiadis

One potential future for the next generation of smart grids is the use of decentralized optimization algorithms and secured communications for coordinating renewable generation (e.g., wind/solar), dispatchable devices (e.g.,…

系统与控制 · 电气工程与系统科学 2023-01-24 Terrence W. K. Mak , Minas Chatzos , Mathieu Tanneau , Pascal Van Hentenryck

This paper presents an algorithm for restoring AC power flow feasibility from solutions to simplified optimal power flow (OPF) problems, including convex relaxations, power flow approximations, and machine learning (ML) models. The proposed…

系统与控制 · 电气工程与系统科学 2024-03-13 Babak Taheri , Daniel K. Molzahn