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In this paper, we develop an online method that leverages machine learning to obtain feasible solutions to the AC optimal power flow (OPF) problem with negligible optimality gaps on extremely fast timescales (e.g., milliseconds), bypassing…

机器学习 · 计算机科学 2019-10-04 Ahmed Zamzam , Kyri Baker

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

Secondary distribution networks (SDNets) play an increasingly important role in smart grids due to a high proliferation of distributed energy resources (DERs) in SDNets. However, most existing optimal power flow (OPF) problems do not take…

系统与控制 · 电气工程与系统科学 2024-04-23 Rui Cheng , Naihao Shi , Zhaoyu Wang , Zixiao Ma

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

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

The objective of this paper is to improve the accuracy and robustness of optimal power flow (OPF) formulations for distribution systems modeled down to the low-voltage point of connection of individual buildings. An approach for addressing…

系统与控制 · 电气工程与系统科学 2023-10-11 Dakota Hamilton , Loraine Navarro , Dionysios Aliprantis

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

Optimal power flow (OPF) is a critical optimization problem that allocates power to the generators in order to satisfy the demand at a minimum cost. Solving this problem exactly is computationally infeasible in the general case. In this…

系统与控制 · 电气工程与系统科学 2022-10-18 Damian Owerko , Fernando Gama , Alejandro Ribeiro

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

Traditional optimal power flow (OPF) describes the system performance only in a single snapshot while the resulting decisions are applied to an entire time period. Therefore, how well the selected snapshot can represent the entire time…

最优化与控制 · 数学 2019-08-28 Zongjie Wang , Ge Guo , C. Lindsay Anderson

We derive the branch ampacity constraint associated to power losses for the convex optimal power flow (OPF) model based on the branch flow formulation. The branch ampacity constraint derivation is motivated by the physical interpretation of…

最优化与控制 · 数学 2020-05-14 Zhao Yuan , Mario Paolone

Due to the increasing amount of electricity generated from renewable sources, uncertainty in power system operation will grow. This has implications for tools such as Optimal Power Flow (OPF), an optimization problem widely used in power…

最优化与控制 · 数学 2015-04-02 Line Roald , Sidhant Misra , Michael Chertkov , Göran Andersson

The incorporation of stochastic loads and generation into the operation of power grids gives rise to an exposure to stochastic risk. This risk has been addressed in prior work through a variety of mechanisms, such as scenario generation or…

最优化与控制 · 数学 2017-11-06 Daniel Bienstock , Apurv Shukla

This paper proposes a quasi-optimal power flow (OPF) algorithm for flexible DC traction power systems (TPSs). Near-optimal solutions can be solved with high computational efficiency by the proposed quasi-OPF. Unlike conventional OPF…

系统与控制 · 电气工程与系统科学 2022-11-08 Zhanhe Li , Xiaoqian Li , Yingdong Wei , Chao Lu , Xuelian Bai

Increasing levels of renewable generation motivate a growing interest in data-driven approaches for AC optimal power flow (AC OPF) to manage uncertainty; however, a lack of disciplined dataset creation and benchmarking prohibits useful…

系统与控制 · 电气工程与系统科学 2022-07-19 Trager Joswig-Jones , Kyri Baker , Ahmed S. Zamzam

Optimal power flow (OPF) is one of the key electric power system optimization problems. "Moment" relaxations from the Lasserre hierarchy for polynomial optimization globally solve many OPF problems. Previous work illustrates the ability of…

最优化与控制 · 数学 2016-12-09 Daniel K. Molzahn , Cedric Josz , Ian A. Hiskens

Several convex relaxations of the optimal power flow (OPF) problem have recently been developed using both bus injection models and branch flow models. In this paper, we prove relations among three convex relaxations: a semidefinite…

系统与控制 · 计算机科学 2014-01-10 Subhonmesh Bose , Steven H. Low , Thanchanok Teeraratkul , Babak Hassibi

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 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

Despite strong connections through shared application areas, research efforts on power market optimization (e.g., unit commitment) and power network optimization (e.g., optimal power flow) remain largely independent. A notable illustration…

最优化与控制 · 数学 2020-09-02 Carleton Coffrin , Bernard Knueven , Jesse Holzer , Marc Vuffray