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The distribution optimal power flow (D-OPF) models have gained attention in recent years to optimally operate acentrally-managed distribution grid. On account of nonconvex formulation that is difficult to solve, several relaxation methods…

最优化与控制 · 数学 2019-12-10 Rahul Ranjan Jha , Anamika Dubey

Congestion pricing has received lots of attention in scientific discussion. Congestion pricing means that the operator increases prices at the time of congestion and the traffic demand are expected to decrease. In a certain sense, shadow…

最优化与控制 · 数学 2021-08-30 Jorma Jormakka , Sourangshu Ghosh

Deregulated energy markets, demand forecasting, and the continuously increasing share of renewable energy sources call---among others---for a structured consideration of uncertainties in optimal power flow problems. The main challenge is to…

最优化与控制 · 数学 2018-08-24 Tillmann Mühlpfordt , Timm Faulwasser , Veit Hagenmeyer

Abstract Objective: The objectives of this paper are to 1) construct a new network model compatible with distributed computation, 2) construct the full optimal power flow (OPF) in a distributed fashion so that an effective, non-inferior…

最优化与控制 · 数学 2021-07-14 HyungSeon Oh

The vast spatial dimension of modern interconnected electricity grids challenges the tractability of the DC optimal power flow problem. Grid aggregation methods try to overcome this challenge by reducing the number of network elements. Many…

最优化与控制 · 数学 2025-11-12 Benjamin Stöckl , Yannick Werner , Sonja Wogrin

Probabilistic optimal power flow (POPF) is an important analytical tool to ensure the secure and economic operation of power systems. POPF needs to solve enormous nonlinear and nonconvex optimization problems. The huge computational burden…

信号处理 · 电气工程与系统科学 2019-06-25 Yan Yang , Juan Yu , Zhifang Yang , Mingxu Xiang , Ren Liu

Electric power grids are essential components of modern life, delivering reliable power to end-users while adhering to a multitude of engineering constraints and requirements. In grid operations, the Optimal Power Flow problem plays a key…

系统与控制 · 电气工程与系统科学 2025-07-29 Mostafa Mohammadian , Anna Van Boven , Kyri Baker

This paper focuses on an AC optimal power flow (OPF) problem for distribution feeders equipped with controllable distributed energy resources (DERs). We consider a solution method that is based on a continuous approximation of the projected…

最优化与控制 · 数学 2026-02-26 Damola Ajeyemi , Yiting Chen , Antonin Colot , Jorge Cortes , Emiliano Dall'Anese

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…

The DistFlow model accurately represents power flows in distribution systems, but the model's nonlinearities result in computational challenges for many applications. Accordingly, a linear approximation known as \mbox{LinDistFlow} (and its…

系统与控制 · 电气工程与系统科学 2025-11-14 Babak Taheri , Rahul K. Gupta , Daniel K. Molzahn

Many engineered systems, such as energy and transportation infrastructures, are networks governed by non-linear physical laws. A primary challenge for operators of these networks is to achieve optimal utilization while maintaining safety…

最优化与控制 · 数学 2018-03-08 Tillmann Weisser , Line Roald , Sidhant Misra

Natural gas ranks second in consumption among primary energy sources in the United States. The majority of production sites are in remote locations, hence natural gas needs to be transported through a pipeline network equipped with a…

最优化与控制 · 数学 2023-08-28 Sai Krishna Kanth Hari , Kaarthik Sundar , Shriram Srinivasan , Russell Bent

Optimal Power Flow (OPF) dispatches controllable generation at minimum cost subject to operational constraints on generation and transmission assets. The uncertainty and variability of intermittent renewable generation is challenging…

最优化与控制 · 数学 2015-11-24 Miles Lubin , Yury Dvorkin , Scott Backhaus

This paper considers the problem of releasing privacy-preserving load data of a decentralized operated power system. The paper focuses on data used to solve Optimal Power Flow (OPF) problems and proposes a distributed algorithm that…

最优化与控制 · 数学 2020-04-20 Terrence W. K. Mak , Ferdinando Fioretto , Pascal Van Hentenryck

Optimal power flow (OPF) is the fundamental mathematical model in power system operations. Improving the solution quality of OPF provide huge economic and engineering benefits. The convex reformulation of the original nonconvex alternating…

最优化与控制 · 数学 2021-09-02 Zhao Yuan

The energy transition is driving the integration of large shares of intermittent power sources in the electric power grid. Therefore, addressing the AC optimal power flow (AC-OPF) effectively becomes increasingly essential. The AC-OPF,…

系统与控制 · 电气工程与系统科学 2024-10-08 Anna Varbella , Damien Briens , Blazhe Gjorgiev , Giuseppe Alessio D'Inverno , Giovanni Sansavini

Unbalanced optimal power flow refers to a class of optimization problems subject to the steady state physics of three-phase power grids with nonnegligible phase unbalance. Significant progress on this problem has been made on the…

最优化与控制 · 数学 2023-08-22 Frederik Geth , Hakan Ergun

We consider the problem of computing equilibria (steady-states) for droop-controlled, islanded, AC microgrids that are both economic-optimal and dynamically stable. This work is motivated by the observation that classical optimal power flow…

最优化与控制 · 数学 2020-02-25 Sungho Shin , Victor M. Zavala

We propose a novel algorithm to solve optimal power flow (OPF) that aims at dispatching controllable distributed energy resources (DERs) for voltage regulation at minimum cost. The proposed algorithm features unprecedented scalability to…

最优化与控制 · 数学 2019-03-07 Xinyang Zhou , Zhiyuan Liu , Wenbo Wang , Changhong Zhao , Fei Ding , Lijun Chen

We study tightness properties of a Lagrangian dual (LD) bound for the nonconvex alternating current optimal power flow (ACOPF) problem. We show an LD bound that can be computed in a parallel, decentralized manner. Specifically, the proposed…

最优化与控制 · 数学 2021-11-10 Weiqi Zhang , Kibaek Kim , Victor M. Zavala