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For solving pseudo-convex global optimization problems, we present a novel fully adaptive steepest descent method (or ASDM) without any hard-to-estimate parameters. For the step-size regulation in an $\varepsilon$-normalized direction, we…

最优化与控制 · 数学 2021-08-12 Z. R. Gabidullina

This paper presents a new approach to approximate the AC optimal power flow (ACOPF). By eliminating the need to solve the ACOPF every few minutes, the paper showcases how a realtime feedback controller can be utilized in lieu of ACOPF and…

系统与控制 · 电气工程与系统科学 2024-06-11 Muhammad Nadeem , Ahmad F. Taha

We present the results of a comprehensive benchmarking effort aimed at evaluating and comparing state-of-the-art open-source tools for solving the Alternating-Current Optimal Power Flow (ACOPF) problem. Our numerical experiments include all…

最优化与控制 · 数学 2022-03-23 Smitha Gopinath , Hassan L. Hijazi

Decentralized non-convex optimization is important in many problems of practical relevance. Existing decentralized methods, however, typically either lack convergence guarantees for general non-convex problems, or they suffer from a high…

最优化与控制 · 数学 2025-10-20 Gösta Stomberg , Alexander Engelmann , Timm Faulwasser

In this paper, we develop semidefinite programming (SDP) models aimed at solving optimal power flow (OPF) problems in distribution systems. We propose two models: the symmetrical SDP model which modifies the existing BFM-SDP model. Then…

最优化与控制 · 数学 2017-12-27 Zeyu Wang , Daniel S. Kirschen , Baosen Zhang

This paper formalizes an optimal water-power flow (OWPF) problem to optimize the use of controllable assets across power and water systems while accounting for the couplings between the two infrastructures. Tanks and pumps are optimally…

This paper introduces a novel distributed optimization framework for large-scale AC Optimal Power Flow (OPF) problems, offering both theoretical convergence guarantees and rapid convergence in practice. By integrating smoothing techniques…

最优化与控制 · 数学 2026-03-04 Xinliang Dai , Yuning Jiang , Yi Guo , Colin N. Jones , Moritz Diehl , Veit Hagenmeyer

The limitations of centralized optimization methods for power systems operation have led to the distributed computing paradigm, particularly in power distribution systems. The existing techniques reported in recent literature for solving…

系统与控制 · 电气工程与系统科学 2020-12-07 Rabayet Sadnan , Anamika Dubey

Finding a global solution to the optimal power flow (OPF) problem is difficult due to its nonconvexity. A convex relaxation in the form of semidefinite programming (SDP) has attracted much attention lately as it yields a global solution in…

最优化与控制 · 数学 2016-03-04 Cédric Josz , Jean Maeght , Patrick Panciatici , Jean Charles Gilbert

The growing penetration of distributed energy resources (DERs), electric vehicles (EVs), and heat pumps (HPs) in distribution networks underscores the need for secure, computationally efficient optimal power flow (OPF) solutions.…

系统与控制 · 电气工程与系统科学 2026-04-15 Savvas Panagi , Chrysovalantis Spanias , Petros Aristidou

The increasing application of voltage source converter (VSC) high voltage direct current (VSC-HVDC) technology in power grids has raised the importance of incorporating DC grids and converters into the existing transmission network. This…

最优化与控制 · 数学 2022-03-08 Junyi Zhai , Xinliang Dai , Yuning Jiang , Ying Xue , Veit Hagenmeyer , Colin N. Jones , Xiao-Ping Zhang

AC/multi-terminal DC (MTDC) hybrid power systems have emerged as a solution for the large-scale and longdistance accommodation of power produced by renewable energy systems (RESs). To ensure the optimal operation of such hybrid power…

最优化与控制 · 数学 2024-09-26 Haixiao Li , Aleksandra Lekić

In this paper, a novel quadratic convex optimal power flow model, namely, MDOPF, is proposed to determine the optimal dispatches of distributed generators. Based on the results of MDOPF, two price mechanisms, distribution locational…

系统与控制 · 电气工程与系统科学 2020-09-07 Tianshu Yang , Ye Guo , Lirong Deng , Hongbin Sun , Wenchuan Wu

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

Optimal power flow (OPF) is an important technique for power systems to achieve optimal operation while satisfying multiple constraints. The traditional OPF are mostly centralized methods which are executed in the centralized control…

系统与控制 · 计算机科学 2019-03-05 Qiao Li , David Wenzhong Gao , Lin Cheng , Fang Zhang , Weihang Yan

A simple characterization of the solvability of power flow equations is of great importance in the monitoring, control, and protection of power systems. In this paper, we introduce a sufficient condition for power flow Jacobian…

最优化与控制 · 数学 2020-12-16 Bai Cui , Xu Andy Sun

Decentralized optimization algorithms are important in different contexts, such as distributed optimal power flow or distributed model predictive control, as they avoid central coordination and enable decomposition of large-scale problems.…

最优化与控制 · 数学 2019-03-28 Alexander Engelmann , Yuning Jiang , Boris Houska , Timm Faulwasser

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

Optimal power flow (OPF) is the central optimization problem in electric power grids. Although solved routinely in the course of power grid operations, it is known to be strongly NP-hard in general, and weakly NP-hard over tree networks. In…

系统与控制 · 计算机科学 2016-06-22 Krishnamurthy Dvijotham , Pascal Van Hentenryck , Michael Chertkov , Sidhant Misra , Marc Vuffray

With high penetrations of renewable generation and variable loads, there is significant uncertainty associated with power flows in DC networks such that stability and operational constraint satisfaction are of concern. Most existing DC…

最优化与控制 · 数学 2021-06-14 Jianzhe Liu , Bai Cui , Daniel K. Molzahn , Chen Chen , Xiaonan Lu , Feng Qiu