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When comparing new wireless technologies, it is common to consider the effect that they have on the capacity of the network (defined as the maximum number of simultaneously satisfiable links). For example, it has been shown that giving…

计算机科学与博弈论 · 计算机科学 2013-08-05 Michael Dinitz , Merav Parter

In this paper, we formulate optimization problems to perform optimal transmission switching (OTS) in order to operate power transmission grids most efficiently. In any given electrical network, several of the transmission lines are…

系统与控制 · 电气工程与系统科学 2023-09-07 Vineet Jagadeesan Nair

Power grids exhibit patterns of reaction to outages similar to complex networks. Blackout sequences follow power laws, as complex systems operating near a critical point. Here, the tolerance of electric power grids to both accidental and…

物理与社会 · 物理学 2009-03-23 S. Arianos , E. Bompard , A. Carbone , F. Xue

A novel power consensus algorithm for DC microgrids is proposed and analyzed. DC microgrids are networks composed of DC sources, loads, and interconnecting lines. They are represented by differential-algebraic equations connected over an…

最优化与控制 · 数学 2026-01-13 Claudio De Persis , Erieke Weitenberg , Florian Dorfler

Voltage prediction in distribution grids is a critical yet difficult task for maintaining power system stability. Machine learning approaches, particularly Graph Neural Networks (GNNs), offer significant speedups but suffer from poor…

机器学习 · 计算机科学 2025-12-09 Ehimare Okoyomon , Arbel Yaniv , Christoph Goebel

Minimizing both power fluctuations and energy waste in an electrical grid is a central challenge to energy policy. Any discrepancy between power production and loads may lead to inefficiencies and instability in the system. Right now, the…

系统与控制 · 电气工程与系统科学 2024-05-20 H. Grebel

As inverter-based generation is being massively deployed in the grid, these type of units have to take over the current roles of conventional generation, including the capability of restoring the grid. In this context, the resonances of the…

系统与控制 · 电气工程与系统科学 2024-02-15 Adolfo Anta , Diego Cifelli

Power grids vulnerability is a key issue in society. A component failure may trigger cascades of failures across the grid and lead to a large blackout. Complex network approaches have shown a direction to study some of the problems faced by…

物理与社会 · 物理学 2013-04-22 Trivik Verma , Wendy Ellens , Robert E. Kooij

Integration of smart grid technologies in distribution systems, particularly behind-the-meter initiatives, has a direct impact on transmission network planning. This paper develops a coordinated expansion planning of transmission and active…

系统与控制 · 电气工程与系统科学 2023-10-10 Mojtaba Moradi-Sepahvand , Turaj Amraee , Farrokh Aminifar , Amirhossein Akbari

Static transmission line ratings may lead to underutilization of line capacity due to overly conservative assumptions. Grid-enhancing technologies (GETs) such as dynamic line ratings (DLRs), which adjust line capacity based on real-time…

系统与控制 · 电气工程与系统科学 2025-11-27 Zhiyi Zhou , Christoph Graf , Yury Dvorkin

Cascading failures in power systems normally occur as a result of initial disturbance or faults on electrical elements, closely followed by errors of human operators. It remains a great challenge to systematically trace the source of…

系统与控制 · 计算机科学 2017-03-16 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

Capacity expansion models for the electric power system often employ zonal (rather than nodal) resolution, necessitating estimates of aggregate power transfer limits across the interfaces between model zones. Interface limits between…

系统与控制 · 电气工程与系统科学 2023-08-08 Patrick R. Brown , Clayton P. Barrows , Jarrad G. Wright , Gregory L. Brinkman , Sourabh Dalvi , Jiazi Zhang , Trieu Mai

Open chemical reaction systems involve matter-exchange with the surroundings. As a result, species can accumulate inside a system during the course of the reaction. We study the role of network topology in governing the concentration…

化学物理 · 物理学 2014-10-17 Kinshuk Banerjee , Kamal Bhattacharyya

The article considers a parametric effect which takes place when the velocity of signal propagation in a long line changes. We found the analytical solution describing the form of the transformed signal for a line with losses, when line…

综合物理 · 物理学 2012-12-11 Yu. K. Shestopaloff

Multiplex networks are representations of multilayer interconnected complex networks where the nodes are the same at every layer. They turn out to be good abstractions of the intricate connectivity of multimodal transportation networks,…

物理与社会 · 物理学 2016-03-23 Albert Solé-Ribalta , Sergio Gómez , Alex Arenas

The growing integration of distributed energy resources (DERs) in urban distribution grids raises various reliability issues due to DER's uncertain and complex behaviors. With a large-scale DER penetration, traditional outage detection…

系统与控制 · 计算机科学 2018-11-15 Yizheng Liao , Yang Weng , Chin-Woo Tan , Ram Rajagopal

Physical networks can develop diverse responses, or functions, by design, evolution or learning. We focus on electrical networks of nodes connected by resistive edges. Such networks can learn by adapting edge conductances to lower a cost…

无序系统与神经网络 · 物理学 2025-05-08 Menachem Stern , Marcelo Guzman , Felipe Martins , Andrea J Liu , Vijay Balasubramanian

We rigorously derive the dense graph limit of a discrete model describing the formation of biological transportation networks. The discrete model, defined on undirected graphs with pressure-driven flows, incorporates a convex energy…

最优化与控制 · 数学 2026-01-23 Nuno J. Alves , Jan Haskovec

This two-part paper details a theory of solvability for the power flow equations in lossless power networks. In Part I, we derived a new formulation of the lossless power flow equations, which we term the fixed-point power flow. The model…

最优化与控制 · 数学 2017-09-21 John W. Simpson-Porco

Multiple types of fluctuations impact the collective dynamics of power grids and thus challenge their robust operation. Fluctuations result from processes as different as dynamically changing demands, energy trading, and an increasing share…

数据分析、统计与概率 · 物理学 2018-07-24 Benjamin Schäfer , Christian Beck , Kazuyuki Aihara , Dirk Witthaut , Marc Timme