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相关论文: Decomposing Convexified Security-Constrained ACOPF…

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We present a decomposition approach for obtaining good feasible solutions for the security-constrained alternating-current optimal power flow (SCACOPF) problem at an industrial scale and under real-world time and computational limits. The…

最优化与控制 · 数学 2021-10-06 Cosmin G. Petra , Ignacio Aravena

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

Since the alternating current optimal power flow (ACOPF) problem was introduced in 1962, developing efficient solution algorithms for the problem has been an active field of research. In recent years, there has been increasing interest in…

最优化与控制 · 数学 2018-03-14 Mowen Lu , Harsha Nagarajan , Russell Bent , Sandra D. Eksioglu , Scott J. Mason

Convex relaxation methods have been studied and used extensively to obtain an optimal solution to the optimal power flow (OPF) problem. Meanwhile, convex relaxed power flow equations are also prerequisites for efficiently solving a wide…

系统与控制 · 计算机科学 2017-10-24 Zhuang Tian , Wenchuan Wu

In this paper, we study efficient and robust computational methods for solving the security-constrained alternating current optimal power flow (SC-ACOPF) problem, a two-stage nonlinear optimization problem with disjunctive constraints, that…

最优化与控制 · 数学 2023-08-11 Amin Gholami , Kaizhao Sun , Shixuan Zhang , Xu Andy Sun

In this paper, we present decomposition techniques for solving large-scale instances of the security-constrained optimal power flow (SCOPF) problem with primary response. Specifically, under each contingency state, we require that the nodal…

最优化与控制 · 数学 2019-10-10 Alexandre Velloso , Pascal Van Hentenryck , Emma S. Johnson

The alternating current optimal power flow (ACOPF) problem is central to modern power system operations, determining how electricity is generated and transmitted to maximize social welfare while respecting physical and operational…

最优化与控制 · 数学 2026-02-17 Ata Keskin

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

Security-constrained unit commitment with alternating current optimal power flow (SCUC-ACOPF) is a central problem in power grid operations that optimizes commitment and dispatch of generators under a physically accurate power transmission…

最优化与控制 · 数学 2025-05-12 Matthew Brun , Thomas Lee , Dirk Lauinger , Xin Chen , Xu Andy Sun

The alternating-current optimal power flow (ACOPF) is one of the best known non-convex non-linear optimisation problems. We present a novel re-formulation of ACOPF, which is based on lifting the rectangular power-voltage rank-constrained…

最优化与控制 · 数学 2018-02-20 Jakub Marecek , Martin Takac

We present a pure linear cutting-plane relaxation approach for rapidly proving tight and accurate lower bounds for the Alternating Current Optimal Power Flow Problem (ACOPF) and its multi-period extension with ramping constraints. Our…

最优化与控制 · 数学 2024-09-19 Daniel Bienstock , Matias Villagra

Solving the Alternating Current Optimal Power Flow (AC OPF) problem to global optimality remains challenging due to its nonconvex quadratic constraints. In this paper, we present a unified framework that combines static piecewise…

最优化与控制 · 数学 2025-06-17 Yu-Yang Tang , Liang Chen , Sheng-Jie Chen , Yu-Hong Dai , Bo Zhou , Xiaomeng Ai

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

In this paper we present a formulation of the unit commitment problem with AC power flow constraints. It is solved by a Benders decomposition in which the unit commitment master problem is formulated as a mixed-integer problem with…

最优化与控制 · 数学 2020-11-24 M. Paredes , L. S. A. Martins , S. Soares , Hongxing Ye

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

In this paper, we consider the optimal power flow (OPF) problem which consists in determining the power production at each bus of an electric network by minimizing the production cost. Our contribution is an exact solution algorithm for the…

最优化与控制 · 数学 2021-05-04 Amélie Lambert

This paper deals with the impact of linear approximations for the unknown nonconvex confidence region of chance-constrained AC optimal power flow problems. Such approximations are required for the formulation of tractable chance…

系统与控制 · 计算机科学 2018-10-03 Lejla Halilbasic , Pierre Pinson , Spyros Chatzivasileiadis

A fast and scalable iterative methodology for solving the security-constrained optimal power flow (SCOPF) problem is proposed using problem decomposition and the inverse matrix modification lemma. The SCOPF formulation tackles system…

最优化与控制 · 数学 2024-07-22 Matias Vistnes , Vijay Venu Vadlamudi , Oddbjørn Gjerde

An optimization algorithm for a group of nonsmooth nonconvex problems inspired by two-stage stochastic programming problems is proposed. The main challenges for these problems include (1) the problems lack the popular lower-type properties…

最优化与控制 · 数学 2022-04-01 Jingyi Wang , Cosmin G. Petra

The Alternating Current Optimal Power Flow (ACOPF) problem is a core task in power system operations, aimed at determining cost-effective generation dispatch while satisfying physical and operational constraints. However, conventional ACOPF…

最优化与控制 · 数学 2026-05-15 Vincenzo Di Vito , Kaarthik Sundar , Ferdinando Fioretto , Deepjyoti Deka
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