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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…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Kejun Chen , Yu Zhang

Solving the optimal power flow (OPF) problem is a fundamental task to ensure the system efficiency and reliability in real-time electricity grid operations. We develop a new topology-informed graph neural network (GNN) approach for…

Systems and Control · Electrical Eng. & Systems 2022-11-03 Shaohui Liu , Chengyang Wu , Hao Zhu

Recent work has shown that machine-learned predictions can provably improve the performance of classic algorithms. In this work, we propose the first minimum-cost network flow algorithm augmented with a dual prediction. Our method is based…

Machine Learning · Computer Science 2026-01-29 Zhiyang Chen , Hailong Yao , Xia Yin

This paper deals with the impact of linear approximations for the unknown nonconvex confidence region of chance-constrained AC optimal power flow problems. Such approximations are required for the formulation of tractable chance…

Systems and Control · Computer Science 2018-10-03 Lejla Halilbasic , Pierre Pinson , Spyros Chatzivasileiadis

The optimal power flow (OPF) problem seeks to control power generation/demand to optimize certain objectives such as minimizing the generation cost or power loss in the network. It is becoming increasingly important for distribution…

Optimization and Control · Mathematics 2013-07-02 Lingwen Gan , Na Li , Ufuk Topcu , Steven H. Low

The constraints induced by prohibited zones (PZs) were traditionally formulated as multiple disjoint regions. It was difficult to solve the optimal power flow (OPF) problems subject to the disjoint constraints. This paper proposes a new…

Signal Processing · Electrical Eng. & Systems 2019-01-09 Xian Liu , Hamzeh Davarikia

We develop DeepOPF as a Deep Neural Network (DNN) approach for solving security-constrained direct current optimal power flow (SC-DCOPF) problems, which are critical for reliable and cost-effective power system operation.DeepOPF is inspired…

Systems and Control · Electrical Eng. & Systems 2020-09-24 Xiang Pan , Tianyu Zhao , Minghua Chen , Shengyu Zhang

Optical flow estimation can be formulated as an end-to-end supervised learning problem, which yields estimates with a superior accuracy-runtime tradeoff compared to alternative methodology. In this paper, we make such networks estimate…

Computer Vision and Pattern Recognition · Computer Science 2018-12-21 Eddy Ilg , Özgün Çiçek , Silvio Galesso , Aaron Klein , Osama Makansi , Frank Hutter , Thomas Brox

Deep Reinforcement Learning (DRL) is being used in many domains. One of the biggest advantages of DRL is that it enables the continuous improvement of a learning agent. Secondly, the DRL framework is robust and flexible enough to be…

Machine Learning · Computer Science 2022-05-05 Muhammad Usman Awais

Online learning is a model of machine learning where the learner is trained on sequential feedback. We investigate worst-case error for the online learning of real functions that have certain smoothness constraints. Suppose that…

Machine Learning · Computer Science 2025-02-25 Weian Xie

When uncontrollable resources fluctuate, Optimum Power Flow (OPF), routinely used by the electric power industry to re-dispatch hourly controllable generation (coal, gas and hydro plants) over control areas of transmission networks, can…

Optimization and Control · Mathematics 2013-02-06 Daniel Bienstock , Michael Chertkov , Sean Harnett

The incorporation of stochastic loads and generation into the operation of power grids gives rise to an exposure to stochastic risk. This risk has been addressed in prior work through a variety of mechanisms, such as scenario generation or…

Optimization and Control · Mathematics 2017-11-06 Daniel Bienstock , Apurv Shukla

Deep learning methods have demonstrated significant potential for addressing complex nonlinear control problems. For real-world safety-critical tasks, however, it is crucial to provide formal stability guarantees for the designed…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Han Wang , Keyan Miao , Diego Madeira , Antonis Papachristodoulou

Electric power grids regularly experience uncertain fluctuations from load demands and renewables, which poses a risk of violating operational limits designed to safeguard the system. In this paper, we consider the robust AC OPF problem…

Optimization and Control · Mathematics 2021-04-13 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

The chance constrained optimal power flow (CC-OPF) essentially finds the low-cost generation dispatch scheme ensuring operational constraints are met with a specified probability, termed the security level. While the security level is a…

Optimization and Control · Mathematics 2025-06-24 Shenglu Wang , Kairui Feng , Mengqi Xue , Yue Song

Inference-time computation offers a powerful axis for scaling the performance of language models. However, naively increasing computation in techniques like Best-of-N sampling can lead to performance degradation due to reward hacking.…

Artificial Intelligence · Computer Science 2025-04-09 Audrey Huang , Adam Block , Qinghua Liu , Nan Jiang , Akshay Krishnamurthy , Dylan J. Foster

In many optimization problems in wireless communications, the expressions of objective function or constraints are hard or even impossible to derive, which makes the solutions difficult to find. In this paper, we propose a model-free…

Machine Learning · Computer Science 2019-07-31 Chengjian Sun , Dong Liu , Chenyang Yang

The optimal power flow (OPF) problem is one of the most fundamental problems in power system operations. The non-linear alternating current (AC) power flow equations that model different physical laws (together with operational constraints)…

Optimization and Control · Mathematics 2023-12-08 M. H. M. Christianen , S. van Kempen , M. Vlasiou , B. Zwart

A predictive control barrier function (PCBF) based safety filter is a modular framework to verify safety of a control input by predicting a future trajectory. The approach relies on the solution of two optimization problems, first computing…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Alexandre Didier , Robin C. Jacobs , Jerome Sieber , Kim P. Wabersich , Melanie N. Zeilinger

Optimal Power Flow (OPF) can be modeled as a non-convex Quadratically Constrained Quadratic Program (QCQP). Our purpose is to solve OPF to global optimality. To this end, we specialize the Mixed-Integer Quadratic Convex Reformulation method…

Optimization and Control · Mathematics 2019-03-14 Hadrien Godard , Sourour Elloumi , Amélie Lambert , Jean Maeght , Manuel Ruiz