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This paper centers on the comparison of three different models that describe cascading failures of power systems. Specifically, these models are different in characterizing the physical properties of power networks and computing the branch…

Optimization and Control · Mathematics 2017-08-01 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

This is the second part of a two-part paper on data-based distributionally robust stochastic optimal power flow (OPF). The general problem formulation and methodology have been presented in Part I [1]. Here, we present extensive numerical…

Optimization and Control · Mathematics 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

Budget allocation for power system reliability improvement is considered among the sophisticated problems because of its nonlinear nature. This nonlinearity makes the problem intractable for large-scale power systems. This paper compares…

Signal Processing · Electrical Eng. & Systems 2019-01-08 Hamzeh Davarikia , Masoud Barati , Yupo Chan , Kamran Iqbal

This paper studies the robust optimal operation of distribution networks (DNs) under renewable generation and load demand uncertainties, seeking an improved trade-off between robustness and economic performance. Building upon information…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Zhisheng Xiong , Dimitris Boskos , Bo Zeng , Peter Palensky , Pedro P. Vergara

Real-time control of distribution networks requires accurate information about the system state. In practice, however, such information is difficult to obtain because real-time measurements are available only at a limited number of…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Oleksii Molodchyk , Omid Mokhtari , Samuel Chevalier , Mads R. Almassalkhi , Timm Faulwasser

In this paper we propose a new concept to prioritize the importance of a link in a directed network graph based on an ideal flow distribution. An ideal flow is the infinite limit of relative aggregated count of random walk agents'…

Social and Information Networks · Computer Science 2018-05-09 Kardi Teknomo

This paper provides the analysis for functional approaches of complex network systems research. In order to study the behavior of these systems the flow adjacency matrices were introduced. The concepts of strength, power, domain and…

Physics and Society · Physics 2019-07-26 Olexandr Polishchuk

With the increasing importance of distributed scientific workflows, there is a critical need to ensure Quality of Service (QoS) constraints, such as minimizing time or limiting execution to resource subsets. However, the unpredictable…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-02 Md Hasanur Rashid , Jesun Firoz , Nathan R. Tallent , Luanzheng Guo , Meng Tang , Dong Dai

We study the optimal power flow problem with switching (or, equivalently, the line expansion problem) under demand uncertainty. Specifically, we consider the line-use variables at the first stage and the current- or power-flow at the second…

Optimization and Control · Mathematics 2016-01-26 Jakub Marecek , Adam Ouorou , Guanglei Wang

Hardware acceleration in modern networks creates monitoring blind spots by offloading flows to a non-observable state, hindering real-time service degradation (SD) detection. To address this, we propose and formalize a novel inter-flow…

Networking and Internet Architecture · Computer Science 2025-09-16 Balint Bicski , Adrian Pekar

We propose an end-to-end framework based on a Graph Neural Network (GNN) to balance the power flows in energy grids. The balancing is framed as a supervised vertex regression task, where the GNN is trained to predict the current and power…

Machine Learning · Computer Science 2022-08-15 Jonas Berg Hansen , Stian Normann Anfinsen , Filippo Maria Bianchi

Optimizing the stability and control performance of complex networks often hinges on effectively identifying critical nodes for targeted intervention. Due to their inherent complexity and high dimensionality, large-scale energy flow…

Physics and Society · Physics 2025-08-26 Yi Li , Xin Li

We consider a network whose links have random capacities and in which a certain target amount of flow must be carried from some source nodes to some destination nodes. Each destination node has a fixed demand that must be satisfied and each…

Computation · Statistics 2018-05-10 Zdravko I. Botev , Pierre L'Ecuyer , Bruno Tuffin

In distribution systems, power injection variability due to growing penetrations of distributed energy resources (DERs) and dispatchable loads can lead to power quality issues such as severe voltage unbalance. To ensure the safe operation…

Optimization and Control · Mathematics 2019-12-05 Bowen Li , Bai Cui , Feng Qiu , Daniel K. Molzahn

In modern electric power networks with fast evolving operational conditions, assessing the impact of contingencies is becoming more and more crucial. Contingencies of interest can be roughly classified into nodal power disturbances and line…

Adaptation and Self-Organizing Systems · Physics 2019-10-22 Robin Delabays , Melvyn Tyloo , Philippe Jacquod

Most power systems' approaches are currently tending towards stochastic and probabilistic methods due to the high variability of renewable sources and the stochastic nature of loads. Conventional power flow (PF) approaches such as…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Deepak Tiwari , Mehdi Jabbari Zideh , Veeru Talreja , Vishal Verma , Sarika K. Solanki , Jignesh Solanki

We propose a dynamical model for cascading failures in single-commodity network flows. In the proposed model, the network state consists of flows and activation status of the links. Network dynamics is determined by a, possibly…

Systems and Control · Computer Science 2014-07-15 Ketan Savla , Giacomo Como , Munther A. Dahleh

As power systems become more complex and uncertain, low-voltage distribution networks face numerous challenges, including three-phase imbalances caused by asymmetrical loads and distributed energy resources. We propose a robust stochastic…

Systems and Control · Electrical Eng. & Systems 2024-04-25 Rui Wang , Xiaoqing Bai , Shengquan Huang , Shoupu Wei

Modern grid monitoring equipment enables utilities to collect detailed records of power interruptions. These data are aggregated to compute publicly reported metrics describing high-level characteristics of grid performance. The current…

Physics and Society · Physics 2019-01-14 Laurel N. Dunn , Michael D. Sohn , Kristina Hamachi Lacommare , Joseph H. Eto

The impedances of cables and lines used in (multi-conductor) distribution networks are usually unknown or approximated, and may lead to problematic results for any physics-based power system calculation, e.g., (optimal) power flow. Learning…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Marta Vanin , Frederik Geth , Rahmat Heidari , Dirk Van Hertem