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Modern distribution grids with high penetration of renewable generation provide substantial flexibility through distributed reactive power sources and transformer tap changers. This high degree of freedom can be exploited for optimisation.…

最优化与控制 · 数学 2026-04-30 Gerald Gebhardt , Bernd Engel

Model-based reinforcement learning is a powerful tool, but collecting data to fit an accurate model of the system can be costly. Exploring an unknown environment in a sample-efficient manner is hence of great importance. However, the…

机器学习 · 计算机科学 2023-04-27 Matthieu Blanke , Marc Lelarge

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

Optimal power flow (OPF) is a fundamental tool for analyzing the characteristics of bipolar DC distribution network (DCDN). However, existing OPF models face challenges in reflecting the power distribution and exchange of bipolar DCDN…

系统与控制 · 电气工程与系统科学 2023-07-06 Yiyao Zhou , Qianggang Wang , Yuan Chi , Jianquan Liao , Tao Huang , Niancheng Zhou , Xiaolong Xu , Xuefei Zhang

To solve the optimal power flow (OPF) problem, reinforcement learning (RL) emerges as a promising new approach. However, the RL-OPF literature is strongly divided regarding the exact formulation of the OPF problem as an RL environment. In…

机器学习 · 计算机科学 2024-03-27 Thomas Wolgast , Astrid Nieße

A lot of real-world engineering problems represent dynamicity with nests of nonlinearities due to highly complex network of exponential functions or large number of differential equations interacting together. Such search spaces are…

神经与进化计算 · 计算机科学 2020-05-07 Mojtaba Moattari , Emad Roshandel , Shima Kamyab , Zohreh Azimifar

Optimal power flow (OPF) is one of the fundamental tasks for power system operations. While machine learning (ML) approaches such as deep neural networks (DNNs) have been widely studied to enhance OPF solution speed and performance, their…

机器学习 · 计算机科学 2026-01-07 Xinyi Liu , Xuan He , Yize Chen

In this paper, we consider non-convex optimization problems under \textit{unknown} yet safety-critical constraints. Such problems naturally arise in a variety of domains including robotics, manufacturing, and medical procedures, where it is…

机器学习 · 计算机科学 2020-06-25 Mohammad Fereydounian , Zebang Shen , Aryan Mokhtari , Amin Karbasi , Hamed Hassani

This paper considers the problem of maximizing multiple linear functions over the probability simplex. A classification of feasible points is indicated. A necessary and sufficient condition for a member of each class to be an efficient…

最优化与控制 · 数学 2024-12-30 Anas Mifrani

We study the problem of optimizing nonlinear objective functions over bipartite matchings. While the problem is generally intractable, we provide several efficient algorithms for it, including a deterministic algorithm for maximizing convex…

最优化与控制 · 数学 2008-07-24 Yael Berstein , Shmuel Onn

Linear optimal power flow (LOPF) algorithms use a linearization of the alternating current (AC) load flow equations to optimize generator dispatch in a network subject to the loading constraints of the network branches. Common algorithms…

适应与自组织系统 · 物理学 2018-02-01 Jonas Hörsch , Henrik Ronellenfitsch , Dirk Witthaut , Tom Brown

We identify generic protocols achieving optimal power extraction from a single active particle subject to continuous feedback control under the assumption that its spatial trajectory, but not its instantaneous self-propulsion force, is…

统计力学 · 物理学 2023-11-08 Luca Cocconi , Jacob Knight , Connor Roberts

This paper explores a method for solving constrained optimization problems when the derivatives of the objective function are unavailable, while the derivatives of the constraints are known. We allow the objective and constraint function to…

最优化与控制 · 数学 2024-02-20 Melody Qiming Xuan , Jorge Nocedal

Despite major advancements in nonlinear programming (NLP) and convex relaxations, most system operators around the world still predominantly use some form of linear programming (LP) approximation of the AC power flow equations. This is…

最优化与控制 · 数学 2021-07-19 Sleiman , Mhanna , Pierluigi , Mancarella

The proliferation of phasor measurement units (PMUs) into electric power distribution grids presents new opportunities for utility operators to manage distribution systems more effectively. One potential application of PMU measurements is…

最优化与控制 · 数学 2019-06-27 Michael D. Sankur , Roel Dobbe , Alexandra von Meier , Emma M. Stewart , Daniel B. Arnold

Training learning parameterizations to solve optimal power flow (OPF) with pointwise constraints is proposed. In this novel training approach, a learning parameterization is substituted directly into an OPF problem with constraints required…

系统与控制 · 电气工程与系统科学 2025-10-24 Damian Owerko , Anna Scaglione , Alejandro Ribeiro

This two-part tutorial dives into the field of data-driven power flow linearization (DPFL), a domain gaining increased attention. DPFL stands out for its higher approximation accuracy, wide adaptability, and better ability to implicitly…

机器学习 · 计算机科学 2024-07-04 Mengshuo Jia , Gabriela Hug , Ning Zhang , Zhaojian Wang , Yi Wang , Chongqing Kang

We demonstrate that valid inequalities, or lifted nonlinear cuts (LNC), can be projected to tighten the Second Order Cone (SOC), Convex DistFlow (CDF), and Network Flow (NF) relaxations of the AC Optimal Power Flow (AC-OPF) problem. We…

最优化与控制 · 数学 2024-09-27 Sergio I. Bugosen , Robert B. Parker , Carleton Coffrin

Learning to optimize (L2O) parametric approximations of AC optimal power flow (AC-OPF) solutions offers the potential for fast, reusable decision-making in real-time power system operations. However, the inherent nonconvexity of AC-OPF…

机器学习 · 计算机科学 2025-11-18 Shimiao Li , Aaron Tuor , Draguna Vrabie , Larry Pileggi , Jan Drgona

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