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We propose a framework for integrating optimal power flow (OPF) with state estimation (SE) in the loop for distribution networks. Our approach combines a primal-dual gradient-based OPF solver with a SE feedback loop based on a limited set…

最优化与控制 · 数学 2022-05-05 Yi Guo , Xinyang Zhou , Changhong Zhao , Lijun Chen , Tyler H. Summers

This paper introduces, for the first time to our knowledge, physics-informed neural networks to accurately estimate the AC-OPF result and delivers rigorous guarantees about their performance. Power system operators, along with several other…

系统与控制 · 电气工程与系统科学 2022-07-29 Rahul Nellikkath , Spyros Chatzivasileiadis

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

The AC optimal power flow (AC-OPF) problem is essential for power system operations, but its non-convex nature makes it challenging to solve. A widely used simplification is the linearized DC optimal power flow (DC-OPF) problem, which can…

系统与控制 · 电气工程与系统科学 2025-01-28 Salvador Pineda , Juan Pérez-Ruiz , Juan Miguel Morales

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

Solving the nonlinear AC optimal power flow (AC OPF) problem remains a major computational bottleneck for real-time grid operations. In this paper, we propose a residual learning paradigm that uses fast DC optimal power flow (DC OPF)…

机器学习 · 计算机科学 2025-10-21 Muhy Eddin Za'ter , Bri-Mathias Hodge , Kyri Baker

The solution to an optimal power flow (OPF) problem provides a minimum cost operating point for an electric power system. The performance of OPF solution techniques strongly depends on the problem's feasible space. This paper presents an…

最优化与控制 · 数学 2016-08-03 Daniel K. Molzahn

Non-convex AC optimal power flow (AC-OPF) is a fundamental optimization problem in power system analysis. The computational complexity of conventional solvers is typically high and not suitable for large-scale networks in real-time…

系统与控制 · 电气工程与系统科学 2022-12-09 Kejun Chen , Shourya Bose , Yu Zhang

Convex relaxations and approximations of the optimal power flow (OPF) problem have gained significant research and industrial interest for planning and operations in electric power networks. One approach for reducing their solve times is…

最优化与控制 · 数学 2025-09-09 Shourya Bose , Kejun Chen , Yu Zhang

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

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

This paper proposes three strong second order cone programming (SOCP) relaxations for the AC optimal power flow (OPF) problem. These three relaxations are incomparable to each other and two of them are incomparable to the standard SDP…

最优化与控制 · 数学 2017-06-14 Burak Kocuk , Santanu S. Dey , X. Andy Sun

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

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

Optimal power flow (OPF) is a very fundamental but vital optimization problem in the power system, which aims at solving a specific objective function (ex.: generator costs) while maintaining the system in the stable and safe operations. In…

系统与控制 · 电气工程与系统科学 2020-04-09 Yuhao Zhou , Bei Zhang , Chunlei Xu , Tu Lan , Ruisheng Diao , Di Shi , Zhiwei Wang , Wei-Jen Lee

Alternating current optimal power flow (AC-OPF) is one of the fundamental problems in power systems operation. AC-OPF is traditionally cast as a constrained optimization problem that seeks optimal generation set points whilst fulfilling a…

机器学习 · 计算机科学 2020-12-18 Henning Lange , Bingqing Chen , Mario Berges , Soummya Kar

This paper presents a parametric quadratic approximation of the AC optimal power flow (AC-OPF) problem for time-sensitive and market-based applications. The parametric approximation preserves the physics-based but simple representation…

最优化与控制 · 数学 2024-10-25 Gonzalo E. Constante-Flores , André H. Quisaguano , Antonio J. Conejo , Can Li

Convex relaxations of the AC power flow equations have attracted significant interest in the power systems research community in recent years. The following collection of video lectures provides a brief introduction to the mathematics of AC…

最优化与控制 · 数学 2018-07-20 Carleton Coffrin , Line Roald

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

Convex relaxations of non-convex optimal power flow (OPF) problems have recently attracted significant interest. While existing relaxations globally solve many OPF problems, there are practical problems for which existing relaxations fail…

最优化与控制 · 数学 2014-11-18 Daniel K. Molzahn , Ian A. Hiskens