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Convex relaxations of the optimal power flow (OPF) problem provide an efficient alternative to solving the intractable alternating current (AC) optimal power flow. The conic subset of OPF convex relaxations, in particular, greatly…

最优化与控制 · 数学 2024-11-27 Jean-Luc Lupien , Antoine Lesage-Landry

The growing penetration of distributed energy resources (DERs) is leading to continually changing operating conditions, which need to be managed efficiently by distribution grid operators. The intermittent nature of DERs such as solar…

系统与控制 · 电气工程与系统科学 2022-07-21 Kshitij Girigoudar , Ashley M. Hou , Line A. Roald

In recent years, there has been significant interest in the development of machine learning-based optimization proxies for AC Optimal Power Flow (AC-OPF). Although significant progress has been achieved in predicting high-quality primal…

机器学习 · 计算机科学 2024-03-27 Guancheng Qiu , Mathieu Tanneau , Pascal Van Hentenryck

The Unit Commitment problem with AC power flow constraints (UC-ACOPF) is a non-convex mixed-integer nonlinear programming (MINLP) problem encountered in power systems. Its combination of combinatorial complexity and non-convex nonlinear…

最优化与控制 · 数学 2025-02-21 D. Gómez , S. Göttlich , A. Ríos , P. Salgado

Unit Commitment (UC) and Optimal Power Flow (OPF) are two fundamental problems in short-term electric power systems planning that are traditionally solved sequentially. The state-of-the-art mostly uses a direct current flow approximation of…

最优化与控制 · 数学 2026-01-22 Deniz Tuncer , Burak Kocuk

This paper proposes a hard-constrained unsupervised learning framework for rapidly solving the non-linear and non-convex AC optimal power flow (AC-OPF) problem in real-time operation. Without requiring ground-truth AC-OPF solutions,…

系统与控制 · 电气工程与系统科学 2026-02-09 Kejun Chen , Bernard Knueven , Wesley Jones

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

In this study, we propose a novel gap-constraint-based reformulation for optimal control problems with equilibrium constraints (OCPECs). We show that the proposed reformulation generates a new constraint system equivalent to the original…

最优化与控制 · 数学 2024-06-06 Kangyu Lin , Toshiyuki Ohtsuka

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

AC/multi-terminal DC (MTDC) hybrid power systems have emerged as a solution for the large-scale and longdistance accommodation of power produced by renewable energy systems (RESs). To ensure the optimal operation of such hybrid power…

最优化与控制 · 数学 2024-09-26 Haixiao Li , Aleksandra Lekić

We explore machine learning methods for AC Optimal Powerflow (ACOPF) - the task of optimizing power generation in a transmission network according while respecting physical and engineering constraints. We present two formulations of ACOPF…

机器学习 · 计算机科学 2019-10-22 Neel Guha , Zhecheng Wang , Matt Wytock , Arun Majumdar

While Nesterov's Accelerated Gradient Descent (AGD) efficiently solves constrained problems when the constraint set $X \subseteq \mathbb{R}^n$ is simple and easy to project onto, it remains an open question whether function-constrained…

最优化与控制 · 数学 2025-12-02 Zhe Zhang , Guanghui Lan

With the increasing complexity of power systems, faster methods for power system reliability analysis are needed. We propose a novel methodology to solve the security constrained optimal power flow (SCOPF) problem that reduces the…

最优化与控制 · 数学 2023-05-03 Matias Vistnes , Vijay Venu Vadlamudi , Sigurd Hofsmo Jakobsen , Oddbjørn Gjerde

The effective management of stochastic characteristics of renewable power generations is vital for ensuring the stable and secure operation of power systems. This paper addresses the task of optimizing the chance-constrained…

系统与控制 · 电气工程与系统科学 2024-01-05 Yuanxi Wu , Zhi Wu , Yijun Xu , Huan Long , Wei Gu , Shu Zheng , Jingtao Zhao

To solve the AC optimal power flow problem, it is proposed in [1,2] that a convex conic approximation to branch flow model (BFM) can be obtained if we first eliminate phase angles of voltages and currents and then relax a set of equality…

最优化与控制 · 数学 2015-05-14 Tao Ding , Bo Zeng , Rui Bo

AC-OPF (Alternative Current Optimal Power Flow)aims at minimizing the operating costs of a power gridunder physical constraints on voltages and power injections.Its mathematical formulation results in a nonconvex polynomial…

最优化与控制 · 数学 2023-05-31 Adrien Le Franc , Victor Magron , Jean-Bernard Lasserre , Manuel Ruiz , Patrick Panciatici

Semidefinite programming (SDP) is widely acknowledged as one of the most effective methods for deriving the tightest lower bounds of the optimal power flow (OPF) problems. In this paper, an enhanced semidefinite relaxation model that…

系统与控制 · 电气工程与系统科学 2024-10-01 Zhaojun Ruan , Libao Shi

This paper introduces a framework for solving alternating current optimal power flow (ACOPF) problems using graphics processing units (GPUs). While GPUs have demonstrated remarkable performance in various computing domains, their…

最优化与控制 · 数学 2026-05-11 Sungho Shin , François Pacaud , Mihai Anitescu

Designing robust algorithms for the optimal power flow (OPF) problem is critical for the control of large-scale power systems under uncertainty. The chance-constrained OPF (CCOPF) problem provides a natural formulation of the trade-off…

最优化与控制 · 数学 2025-01-23 Eli Brock , Haixiang Zhang , Javad Lavaei , Somayeh Sojoudi

We propose a GPU accelerated proximal message passing algorithm for solving contingency-constrained DC optimal power flow problems (OPF). We consider a highly general formulation of OPF that uses a sparse device-node model and supports a…

最优化与控制 · 数学 2024-10-23 Anthony Degleris , Abbas El Gamal , Ram Rajagopal