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In many power system optimization problems, we observe that only a small fraction of the line flow constraints ever become active at the optimal solution, despite variations in the load profile and generation costs. This observation has…

最优化与控制 · 数学 2019-04-04 Line Roald , Daniel K. Molzahn

Electric power grids regularly experience uncertain fluctuations from load demands and renewables, which poses a risk of violating operational limits designed to safeguard the system. In this paper, we consider the robust AC OPF problem…

最优化与控制 · 数学 2021-04-13 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

Optimal power flow (OPF) is a central problem in the operation of electric power systems. An OPF problem optimizes a specified objective function subject to constraints imposed by both the non-linear power flow equations and engineering…

最优化与控制 · 数学 2018-04-13 Mohammad Rasoul Narimani , Daniel K. Molzahn Dan Wu , Mariesa L. Crow

The Optimal Power Flow (OPF) problem is integral to the functioning of power systems, aiming to optimize generation dispatch while adhering to technical and operational constraints. These constraints are far from straightforward; they…

机器学习 · 计算机科学 2023-10-10 Andrew Rosemberg , Mathieu Tanneau , Bruno Fanzeres , Joaquim Garcia , Pascal Van Hentenryck

AC optimal power flow (AC OPF) is a fundamental problem in power system operations. Accurately modeling the network physics via the AC power flow equations makes AC OPF a challenging nonconvex problem. To search for global optima, recent…

最优化与控制 · 数学 2024-04-09 Mohammad Rasoul Narimani , Daniel K. Molzahn , Katherine R. Davis , Mariesa L. Crow

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

Managing power grids with the increasing presence of variable renewable energy-based (distributed) generation involves solving high-dimensional optimization tasks at short intervals. Linearizing the AC power flow (PF) constraints is a…

最优化与控制 · 数学 2025-09-09 Yuhao Chen , Manish K. Singh

The optimal power flow (OPF) problem minimizes the operating cost of an electric power system. Applications of convex relaxation techniques to the non-convex OPF problem have been of recent interest, including work using the Lasserre…

最优化与控制 · 数学 2016-11-17 Daniel K. Molzahn , Cédric Josz , Ian A. Hiskens , Patrick Panciatici

Nonconvexity induced by the nonlinear AC power flow equations challenges solution algorithms for AC optimal power flow (OPF) problems. While significant research efforts have focused on reliably computing high-quality OPF solutions, it is…

最优化与控制 · 数学 2020-02-18 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

The optimal power flow (OPF) problem is one of the most fundamental problems in power system operations. The non-linear alternating current (AC) power flow equations that model different physical laws (together with operational constraints)…

最优化与控制 · 数学 2023-12-08 M. H. M. Christianen , S. van Kempen , M. Vlasiou , B. Zwart

The daily operation of real-world power systems and their underlying markets relies on the timely solution of the unit commitment problem. However, given its computational complexity, several optimization-based methods have been proposed to…

最优化与控制 · 数学 2023-03-24 Mohamed Awadalla , François Bouffard

Many problems in power systems involve optimizing a certain objective function subject to power flow equations and engineering constraints. A long-standing challenge in solving them is the nonconvexity of their feasible sets. In this paper,…

最优化与控制 · 数学 2023-10-03 Ling Zhang , Daniel Tabas , Baosen Zhang

We consider a robust optimization problem in an electric power system under uncertain demand and availability of renewable energy resources. Solving the deterministic alternating current optimal power flow (ACOPF) problem has been…

最优化与控制 · 数学 2021-02-16 Chaithanya Bandi , Krishnamurthy Dvijotham , David Morton , Haoxiang Yang

An effective means for analyzing the impact of novel operating schemes on power systems is time domain simulation, for example for investigating optimization-based curtailment of renewables to alleviate voltage violations. Traditionally,…

最优化与控制 · 数学 2016-07-27 Sandro Merkli , Alexander Domahidi , Juan Jerez , Manfred Morari , Roy S. Smith

This article develops a strengthened convex quadratic convex (QC) relaxation of the AC Optimal Power Flow (AC-OPF) problem and presents an optimization-based bound-tightening (OBBT) algorithm to compute tight, feasible bounds on the voltage…

最优化与控制 · 数学 2019-01-30 Kaarthik Sundar , Harsha Nagarajan , Sidhant Misra , Mowen Lu , Carleton Coffrin , Russell Bent

The Optimal power flow (OPF) problem contains many constraints. However, equality constraints along with a limited set of active inequality constraints encompass sufficient information to determine the feasible space of the problem. In this…

系统与控制 · 电气工程与系统科学 2020-06-09 Fouad Hasan , Amin Kargarian , Javad Mohammadi

In an attempt to speed up the solution of the unit commitment (UC) problem, both machine-learning and optimization-based methods have been proposed to lighten the full UC formulation by removing as many superfluous line-flow constraints as…

最优化与控制 · 数学 2022-03-15 Álvaro Porras , Salvador Pineda , Juan M. Morales , Asunción Jiménez-Cordero

Optimal power flow (OPF) is an important problem in the operation of electric power systems. Due to the OPF problem's non-convexity, there may exist multiple local optima. Certifiably obtaining the global solution is important for certain…

最优化与控制 · 数学 2019-06-17 Alireza Barzegar , Daniel K. Molzahn , Rong Su

The optimal power flow (OPF) problem minimizes power system operating cost subject to both engineering and network constraints. With the potential to find global solutions, significant research interest has focused on convex relaxations of…

最优化与控制 · 数学 2014-02-03 Daniel K. Molzahn , Ian A. Hiskens

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
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