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相关论文: Solving realistic security-constrained optimal pow…

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Optimal Power Flow (OPF) can be modeled as a non-convex Quadratically Constrained Quadratic Program (QCQP). Our purpose is to solve OPF to global optimality. To this end, we specialize the Mixed-Integer Quadratic Convex Reformulation method…

最优化与控制 · 数学 2019-03-14 Hadrien Godard , Sourour Elloumi , Amélie Lambert , Jean Maeght , Manuel Ruiz

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

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

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

AC Optimal Power Flow (ACOPF) and Security-Constrained Unit Commitment (SCUC) are fundamental optimization problems in power system operations. ACOPF serves as the physical backbone of grid simulation and real-time operation, enforcing…

机器学习 · 计算机科学 2026-05-05 Zeeshan Memon , Yijiang Li , Hongwei Jin , Kibaek Kim , Liang Zhao

We formulate the Alternating Current Optimal Power Flow Problem (ACOPF) as a Linear Constrained Quadratic Program (LCQP) with many negative eigenvalues ($r$) and linear constraints, making it NP-hard. We propose two algorithms, Feasible…

最优化与控制 · 数学 2024-06-19 Masoud Barati

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

This paper provides an enhanced modeling of the contingency response that collectively reflects high-fidelity physical and operational characteristics of power grids. Integrating active and reactive power contingency responses into the…

系统与控制 · 电气工程与系统科学 2021-02-18 Tuncay Altun , Ramtin Madani , Alper Atamturk , Ross Baldick , Ali Davoudi

There is a growing need for new optimization methods to facilitate the reliable and cost-effective operation of power systems with intermittent renewable energy resources. In this paper, we formulate the robust AC optimal power flow…

最优化与控制 · 数学 2018-04-03 Raphael Louca , Eilyan Bitar

Optimal power flow (OPF) problem is a class of large-scale and non-convex optimization problem. Various algorithms are proposed to solve the challenging OPF problem. Recent studies show that semidefinite programming (SDP) can either provide…

最优化与控制 · 数学 2018-02-09 Chin-Yao Chang , Wei Zhang

This work proposes a novel method for scaling multi-timestep security-constrained optimal power flow in large power grids. The challenge arises from dealing with millions of variables and constraints, including binary variables and…

最优化与控制 · 数学 2023-11-28 Hussein Sharadga , Javad Mohammadi , Constance Crozier , Kyri Baker

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 investigates the impact of the changes in the demand of power systems on the quality of the solution procured by the convex relaxation methods for the AC optimal power flow (ACOPF) problem. This investigation needs various…

最优化与控制 · 数学 2020-12-24 Arash Farokhi Soofi , Saeed D. Manshadi

The coordinated alternating current optimal power flow (ACOPF) for coupled transmission-distribution grids has become crucial to handle problems related to high penetration of renewable energy sources (RESs). However, obtaining all system…

最优化与控制 · 数学 2022-08-04 Wentian Lu , Kaijun Xie , Mingbo Liu , Xiaogang Wang , Lefeng Cheng

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

We consider a class of optimal power flow (OPF) applications where some loads offer a modulation service in exchange for an activation fee. These applications can be modeled as multi-period formulations of the OPF with discrete variables…

最优化与控制 · 数学 2014-01-07 Quentin Gemine , Damien Ernst , Quentin Louveaux , Bertrand Cornélusse

The recent literature has discussed the use of the relaxed Second Order Cone Programming (SOCP) to formulate Optimal Power Flow problems (OPF) for radial power grids. However, if the shunt parameters of the lines, composing the power grid,…

最优化与控制 · 数学 2017-07-04 Mostafa Nick , Rachid Cherkaoui , Jean-Yves Le Boudec , Mario Paolone

We present a solution of sparse alternating current optimal power flow (ACOPF) analysis on graphical processing unit (GPU). In particular, we discuss the performance bottlenecks and detail our efforts to accelerate the linear solver, a core…

计算工程、金融与科学 · 计算机科学 2023-08-21 Kasia Swirydowicz , Nicholson Koukpaizan , Shrirang Abhyankar , Slaven Peles

This paper presents a hybrid Sequential Convex Programming (SCP) framework for solving the unbalanced three-phase AC Optimal Power Flow (OPF) problem. The method combines a fixed McCormick outer approximation of bilinear voltage-current…

系统与控制 · 电气工程与系统科学 2025-12-04 Sary Yehia , Alessandra Parisio

The Alternating Current Optimal Power Flow (ACOPF) problem remains one of the most fundamental yet computationally challenging tasks in power systems operation and planning due to its nonconvex, nonlinear, and multimodal nature. This paper…