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The Optimal Power Flow (OPF) problem is integral to the functioning of power systems, aiming to optimize generation dispatch while adhering to technical and operational constraints. These constraints are far from straightforward; they…

机器学习 · 计算机科学 2023-10-10 Andrew Rosemberg , Mathieu Tanneau , Bruno Fanzeres , Joaquim Garcia , Pascal Van Hentenryck

With an increasing high penetration of solar photovoltaic generation in electric power grids, voltage phasors and branch power flows experience more severe fluctuations. In this context, probabilistic power flow (PPF) study aims at…

系统与控制 · 电气工程与系统科学 2022-05-03 Kejun Chen , Yu Zhang

In this paper, we propose a graph neural network architecture to solve the AC power flow problem under realistic constraints. To ensure a safe and resilient operation of distribution grids, AC power flow calculations are the means of choice…

In this paper, we analyze the relationship between generation dispatch solutions produced by the DC optimal power flow (DC OPF) problem by the AC optimal power flow (AC OPF) problem. While there has been much previous work in analyzing the…

最优化与控制 · 数学 2020-11-06 Kyri Baker

Optimal Power Flow (OPF) is a core optimization problem in power system operation and planning, aiming to minimize generation costs while satisfying physical constraints such as power flow equations, generator limits, and voltage limits.…

机器学习 · 计算机科学 2025-12-02 Xuezhi Liu

With uncertain injections from Renewable Energy Sources (RESs) and loads, deterministic AC Optimal Power Flow (OPF) often fails to provide optimal setpoints of conventional generators. A computationally time-efficient, economical, and…

系统与控制 · 电气工程与系统科学 2023-06-09 Anamika Tiwari , Abheejeet Mohapatra , Soumya Ranjan Sahoo

Solving the non-convex optimal power flow (OPF) problem for large-scale power distribution systems is computationally expensive. An alternative is to solve the relaxed convex problem or linear approximated problem, but these methods lead to…

系统与控制 · 电气工程与系统科学 2022-11-09 Rabayet Sadnan , Anamika Dubey

This paper develops a power management scheme that jointly optimizes the real power consumption of programmable loads and reactive power outputs of photovoltaic (PV) inverters in distribution networks. The premise is to determine the…

系统与控制 · 计算机科学 2016-10-20 Mohammadhafez Bazrafshan , Nikolaos Gatsis

This paper proposes a new optimization model and solution method for determining optimal locations and sizing of renewable energy sources and hydrogen storage in a power network. We obtain these strategic decisions based on the multi-period…

最优化与控制 · 数学 2022-07-25 Sezen Ece Kayacık , Albert H. Schrotenboer , Evrim Ursavas , Iris F. A. Vis

Effective power flow (PF) modeling critically affects the solution accuracy and computational complexity of large-scale grid optimization problems. Especially for grid optimization involving flexible topology to enhance resilience,…

系统与控制 · 电气工程与系统科学 2025-03-27 Young-ho Cho , Hao Zhu

Transmission-constrained problems in power systems can be cast as polynomial optimization problems whose coefficients vary over time. We consider the complications therein and suggest several approaches. On the example of the…

最优化与控制 · 数学 2023-09-25 Jie Liu , Antonio Bellon , Andrea Simonetto , Martin Takac , Jakub Marecek

Optimal Power Flow (OPF) is a fundamental problem in power systems. It is computationally challenging and a recent line of research has proposed the use of Deep Neural Networks (DNNs) to find OPF approximations at vastly reduced runtimes…

机器学习 · 计算机科学 2021-11-23 My H. Dinh , Ferdinando Fioretto , Mostafa Mohammadian , Kyri Baker

Stepwise controllable devices, such as switched capacitors or stepwise controllable loads and generators, transform the nonconvex AC optimal power flow (AC-OPF) problem into a nonconvex mixed-integer (MI) programming problem which is…

最优化与控制 · 数学 2025-10-13 Johannes Heid , Nils Bornhorst , Eric Tönges , Philipp Härtel , Denis Mende , Martin Braun

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

The penetration of distributed energy resources (DERs) is increasing dramatically. Due to the uncertainty of DERs, the operation of the distribution system is facing higher risks and challenges. To overcome such challenges, a two-stage…

系统与控制 · 电气工程与系统科学 2020-05-07 Mingyue He , Zahra Soltani , Mojdeh Khorsand

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

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

In recent years, the power systems research community has seen an explosion of novel methods for formulating the AC power flow equations. Consequently, benchmarking studies using the seminal AC Optimal Power Flow (AC-OPF) problem have…

Many power system operation and planning problems use the DC power flow approximation to address computational challenges from the nonlinearity of the AC power flow equations. The DC power flow simplifies the AC power flow equations to a…

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

Optimal Power Flow (OPF) refers to a wide range of related optimization problems with the goal of operating power systems efficiently and securely. In the simplest setting, OPF determines how much power to generate in order to minimize…