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We develop and analyze a measure-valued fluid model keeping track of parking and charging requirements of electric vehicles in a local distribution grid. We show how this model arises as an accumulation point of an appropriately scaled…

概率论 · 数学 2020-04-15 Angelos Aveklouris , Maria Vlasiou , Bert Zwart

To ensure frequency security in power systems, both the rate of change of frequency (RoCoF) and the frequency nadir (FN) must be explicitly accounted for in real-time frequency-constrained optimal power flow (FCOPF). However, accurately…

系统与控制 · 电气工程与系统科学 2026-02-13 Fan Jiang , Xingpeng Li , Pascal Van Hentenryck

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

Optimal power flow (OPF) is a critical optimization problem for power systems to operate at points where cost or other operational objectives are optimized. Due to the non-convexity of the set of feasible OPF operating points, it is…

最优化与控制 · 数学 2025-03-03 Daniel Turizo , Diego Cifuentes , Anton Leykin , Daniel K. Molzahn

Determining contingency aware dispatch decisions by solving a security-constrained optimal power flow (SCOPF) is challenging for real-world power systems, as the high problem dimensionality often leads to impractical computational…

系统与控制 · 电气工程与系统科学 2020-05-19 Richard Weinhold , Robert Mieth

The optimal reactive power dispatch (ORPD) problem is an alternating current optimal power flow (ACOPF) problem where discrete control devices for regulating the reactive power, such as shunt elements and tap changers, are considered. The…

最优化与控制 · 数学 2019-12-30 Christian Bingane , Miguel F. Anjos , Sébastien Le Digabel

This paper is concerned with optimal power flow (OPF), which is the problem of optimizing the transmission of electricity in power systems. Our main contributions are as follows: (i) we propose a novel parabolic relaxation, which transforms…

最优化与控制 · 数学 2018-09-27 Fariba Zohrizadeh , Mohsen Kheirandishfard , Edward Quarm , Ramtin Madani

The optimal power flow (OPF) problem is one of the most important optimization problems for the operation of the power grid. It calculates the optimum scheduling of the committed generation units. In this paper, we develop a neural network…

信号处理 · 电气工程与系统科学 2020-08-31 Wenqian Dong , Zhen Xie , Gokcen Kestor , Dong Li

This paper introduces a self-supervised learning framework for approximating the Security-Constrained DC Optimal Power Flow (SC-DCOPF) problem using a parametric linear model. The approach preserves the physical structure of the DC-OPF…

最优化与控制 · 数学 2026-01-21 Anderson Anrrango , André Quisaguano , Gonzalo E. Constante-Flores , Can Li

Higher levels of renewable electricity generation increase uncertainty in power system operation. To ensure secure system operation, new tools that account for this uncertainty are required. In this paper, we formulate a chance-constrained…

最优化与控制 · 数学 2019-05-07 Line Roald , Göran Andersson

The AC Optimal Power Flow (AC-OPF) problem is a non-convex, NP-hard optimization task essential for secure and economic power system operation. While interior-point methods are widely used due to their computational efficiency, spatial…

最优化与控制 · 数学 2026-05-04 Ignacio Repiso , Salvador Pineda , Juan Miguel Morales

This paper introduces a framework to capture previously intractable optimization constraints and transform them to a mixed-integer linear program, through the use of neural networks. We encode the feasible space of optimization problems…

系统与控制 · 电气工程与系统科学 2022-07-15 Ilgiz Murzakhanov , Andreas Venzke , George S. Misyris , Spyros Chatzivasileiadis

The optimal power flow (OPF) problem can be rapidly and reliably solved by employing responsive online solvers based on neural networks. The dynamic nature of renewable energy generation and the variability of power grid conditions…

系统与控制 · 电气工程与系统科学 2025-02-25 Kejun Chen , Shourya Bose , Yu Zhang

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

The thesis focuses on developing a data-driven algorithm, based on machine learning, to solve the stochastic alternating current (AC) chance-constrained (CC) Optimal Power Flow (OPF) problem. Although the AC CC-OPF problem has been…

机器学习 · 计算机科学 2024-02-20 Mile Mitrovic

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 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

Solving the AC optimal power flow problem (AC-OPF) is critical to the efficient and safe planning and operation of power grids. Small efficiency improvements in this domain have the potential to lead to billions of dollars of cost savings,…

AC optimal power flow (AC-OPF) problems need to be solved more frequently in the future to maintain stable and economic power system operation. To tackle this challenge, a deep neural network-based voltage-constrained approach (DeepOPF-V)…

系统与控制 · 电气工程与系统科学 2021-07-20 Wanjun Huang , Xiang Pan , Minghua Chen , Steven H. Low