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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…

系统与控制 · 计算机科学 2019-01-10 Miles Lubin , Yury Dvorkin , Line Roald

When uncontrollable resources fluctuate, Optimum Power Flow (OPF), routinely used by the electric power industry to re-dispatch hourly controllable generation (coal, gas and hydro plants) over control areas of transmission networks, can…

最优化与控制 · 数学 2013-02-06 Daniel Bienstock , Michael Chertkov , Sean Harnett

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 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

The AC Optimal Power Flow (AC-OPF) problem is a non-convex, NP-hard optimization task essential for secure and economic power system operation. While interior-point methods are widely used due to their computational efficiency, spatial…

最优化与控制 · 数学 2026-05-04 Ignacio Repiso , Salvador Pineda , Juan Miguel Morales

Electric power grids are essential components of modern life, delivering reliable power to end-users while adhering to a multitude of engineering constraints and requirements. In grid operations, the Optimal Power Flow problem plays a key…

系统与控制 · 电气工程与系统科学 2025-07-29 Mostafa Mohammadian , Anna Van Boven , Kyri Baker

Despite significant economic and ecological effects, a higher level of renewable energy generation leads to increased uncertainty and variability in power injections, thus compromising grid reliability. In order to improve power grid…

最优化与控制 · 数学 2021-11-24 Aleksander Lukashevich , Vyacheslav Gorchakov , Petr Vorobev , Deepjyoti Deka , Yury Maximov

Probabilistic power flow (PPF) analysis is critical to power system operation and planning. PPF aims at obtaining probabilistic descriptions of the state of the system with stochastic power injections (e.g., renewable power generation and…

系统与控制 · 电气工程与系统科学 2023-08-23 Kejun Chen , Yu Zhang

The classical optimal power flow problem optimizes the power flow in a power network considering the associated flow and operating constraints. In this paper, we investigate optimal power flow in the context of utility-maximizing demand…

数据结构与算法 · 计算机科学 2018-03-22 Majid Khonji , Chi-Kin Chau , Khaled Elbassioni

Most power systems' approaches are currently tending towards stochastic and probabilistic methods due to the high variability of renewable sources and the stochastic nature of loads. Conventional power flow (PF) approaches such as…

系统与控制 · 电气工程与系统科学 2024-01-17 Deepak Tiwari , Mehdi Jabbari Zideh , Veeru Talreja , Vishal Verma , Sarika K. Solanki , Jignesh Solanki

The AC Optimal power flow (OPF) problem is one of the most fundamental problems in power systems engineering. For the past decades, researchers have been relying on unproven heuristics to tackle OPF. The hardness of OPF stems from two…

数据结构与算法 · 计算机科学 2020-07-16 Majid Khonji , Sid Chi-Kin Chau , Khaled Elbassion

This paper introduces a novel distributed optimization framework for large-scale AC Optimal Power Flow (OPF) problems, offering both theoretical convergence guarantees and rapid convergence in practice. By integrating smoothing techniques…

最优化与控制 · 数学 2026-03-04 Xinliang Dai , Yuning Jiang , Yi Guo , Colin N. Jones , Moritz Diehl , Veit Hagenmeyer

Formulating the alternating current optimal power flow (ACOPF) as a polynomial optimization problem makes it possible to solve large instances in practice and to guarantee asymptotic convergence in theory.

最优化与控制 · 数学 2018-02-20 Bissan Ghaddar , Jakub Marecek , Martin Mevissen

In this work we design and compare different supervised learning algorithms to compute the cost of Alternating Current Optimal Power Flow (ACOPF). The motivation for quick calculation of OPF cost outcomes stems from the growing need of…

机器学习 · 计算机科学 2016-12-21 Raphael Canyasse , Gal Dalal , Shie Mannor

One of the significant challenges linked with the massive integration of distributed energy resources (DER) in the active distribution grids is the uncertainty it brings along. The grid operation becomes more arduous to avoid voltage or…

系统与控制 · 电气工程与系统科学 2022-07-19 Rajkumar Palaniappan , Jan-Niklas Ceschlaw , Stavros Karagiannopoulos , Christian Rehtanz

In this paper, we develop a distributionally robust chance-constrained formulation of the Optimal Power Flow problem (OPF) whereby the system operator can leverage contextual information. For this purpose, we exploit an ambiguity set based…

最优化与控制 · 数学 2022-10-05 Adrián Esteban-Pérez , Juan M. Morales

The Optimal Power Flow (OPF) problem is central to the reliable and efficient operation of power systems, yet its non-convex nature poses significant challenges for finding globally optimal solutions. While convex relaxation techniques such…

最优化与控制 · 数学 2025-05-27 Mohammadreza Iranpour , Mohammad Rasoul Narimani

The optimal power-flow problem (OPF) has played a key role in the planning and operation of power systems. Due to the non-linear nature of the AC power-flow equations, the OPF problem is known to be non-convex, therefore hard to solve. Most…

系统与控制 · 计算机科学 2016-07-07 Konstantina Christakou , Dan-Cristian Tomozei , Jean-Yves Le Boudec , Mario Paolone

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

This paper proposes a convex optimization based distributed algorithm to solve multi-period optimal gas-power flow (OGPF) in coupled energy distribution systems. At the gas distribution system side, the non-convex Weymouth gas flow…

最优化与控制 · 数学 2016-10-18 Cheng Wang , Wei Wei , Jianhui Wang , Linquan Bai , Yile Liang