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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

A large amount of data has been generated by grid operators solving AC optimal power flow (ACOPF) throughout the years, and we explore how leveraging this data can be used to help solve future ACOPF problems. We use this data to train a…

最优化与控制 · 数学 2019-05-23 Kyri Baker

This paper proposes a two-level distributed algorithmic framework for solving the AC optimal power flow (OPF) problem with convergence guarantees. The presence of highly nonconvex constraints in OPF poses significant challenges to…

最优化与控制 · 数学 2021-06-14 Kaizhao Sun , Xu Andy Sun

In the context of managing distributed energy resources (DERs) within distribution networks (DNs), this work focuses on the task of developing local controllers. We propose an unsupervised learning framework to train functions that can…

系统与控制 · 电气工程与系统科学 2025-03-20 Zhenyi Yuan , Guido Cavraro , Ahmed S. Zamzam , Jorge Cortés

This paper proposes a component-based dual decomposition of the nonconvex AC optimal power flow (OPF) problem, where the modified dual function is solved in a distributed fashion. The main contribution of this work is that is demonstrates…

分布式、并行与集群计算 · 计算机科学 2017-08-23 Sleiman Mhanna , Gregor Verbic , Archie Chapman

With the increasing penetration of distributed energy resources, distributed optimization algorithms have attracted significant attention for power systems applications due to their potential for superior scalability, privacy, and…

系统与控制 · 电气工程与系统科学 2022-05-09 Sihan Zeng , Alyssa Kody , Youngdae Kim , Kibaek Kim , Daniel K. Molzahn

Linear optimal power flow (LOPF) algorithms use a linearization of the alternating current (AC) load flow equations to optimize generator dispatch in a network subject to the loading constraints of the network branches. Common algorithms…

适应与自组织系统 · 物理学 2018-02-01 Jonas Hörsch , Henrik Ronellenfitsch , Dirk Witthaut , Tom Brown

The uncertainty of multiple power loads and renewable energy generations (PLREG) in power systems increases the complexity of power flow analysis for decision-makers. The chance-constrained method can be applied to model the optimization…

最优化与控制 · 数学 2021-11-12 Ren Hu , Qifeng Li

Deep learning approaches for the Alternating Current-Optimal Power Flow (AC-OPF) problem are under active research in recent years. A common shortcoming in this area of research is the lack of a dataset that includes both a realistic power…

机器学习 · 计算机科学 2022-05-20 Tsun Ho Aaron Cheung , Min Zhou , Minghua Chen

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

Convex optimization encompasses a wide range of optimization problems that contain many efficiently solvable subclasses. Interior point methods are currently the state-of-the-art approach for solving such problems, particularly effective…

最优化与控制 · 数学 2025-03-28 Andreas Klingler , Tim Netzer

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 paper presents an algorithm for restoring AC power flow feasibility from solutions to simplified optimal power flow (OPF) problems, including convex relaxations, power flow approximations, and machine learning (ML) models. The proposed…

系统与控制 · 电气工程与系统科学 2024-03-13 Babak Taheri , Daniel K. Molzahn

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

We analyze a learning-to-optimize (L2O) algorithm that exploits parameter space symmetry to enhance optimization efficiency. Prior work has shown that jointly learning symmetry transformations and local updates improves meta-optimizer…

机器学习 · 计算机科学 2025-04-23 Guy Zamir , Aryan Dokania , Bo Zhao , Rose Yu

This paper considers distribution networks featuring inverter-interfaced distributed energy resources, and develops distributed feedback controllers that continuously drive the inverter output powers to solutions of AC optimal power flow…

最优化与控制 · 数学 2016-06-22 Emiliano Dall'Anese , Andrea Simonetto

We develop DeepOPF as a Deep Neural Network (DNN) approach for solving direct current optimal power flow (DC-OPF) problems. DeepOPF is inspired by the observation that solving DC-OPF for a given power network is equivalent to characterizing…

系统与控制 · 计算机科学 2020-09-24 Xiang Pan , Tianyu Zhao , Minghua Chen

We analyze and contrast two ways to train machine learning models for solving AC optimal power flow (OPF) problems, distinguished with the loss functions used. The first trains a mapping from the loads to the optimal dispatch decisions,…

系统与控制 · 电气工程与系统科学 2024-02-02 Ge Chen , Junjie Qin

With the increasing proportion of renewable energy in the generation side, it becomes more difficult to accurately predict the power generation and adapt to the large deviations between the optimal dispatch scheme and the day-ahead…

系统与控制 · 电气工程与系统科学 2023-03-07 Xinyue Wang , Haiwang Zhong , Guanglun Zhang , Guangchun Ruan , Yiliu He , Zekuan Yu

The massive integration of distributed energy resources changes the operational demands of the electric power distribution system, motivating optimization-based approaches. The added computational complexities of the resulting optimal power…

最优化与控制 · 数学 2023-07-04 Yunqi Luo , Rabayet Sadnan , Bala Krishnamoorthy , Anamika Dubey