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With rising shares of renewables and the need to properly assess trade-offs between transmission, storage and sectoral integration as balancing options, building a bridge between energy system models and detailed power flow studies becomes…

物理与社会 · 物理学 2022-04-29 Fabian Neumann , Veit Hagenmeyer , Tom Brown

The expansion of global electricity distribution systems necessitates the deployment of massive infrastructure. Assessing its implications from a spatial and material perspective requires an understanding of the core drivers of a…

物理与社会 · 物理学 2026-02-17 Emile Emery , Joseph Le Bihan , José Halloy

As illustrated in recent years (Superstorm Sandy, the Northeast Ice Storm of 1998, etc.), extreme weather events pose an enormous threat to the electric power transmission systems and the associated socio-economic systems that depend on…

最优化与控制 · 数学 2017-03-20 Harsha Nagarajan , Russell Bent , Pascal Van Hentenryck , Scott Backhaus , Emre Yamangil

We show the existence of the Braess paradox for a traffic network with nonlinear dynamics described by the Lighthill-Whitham-Richards model for traffic flow. Furthermore, we show how one can employ control theory to avoid the paradox. The…

偏微分方程分析 · 数学 2017-03-30 Rinaldo M. Colombo , Helge Holden

As climate change takes hold in the 21st century, it places an impetus to decarbonize the American electric power system with renewable energy resources. This paper presents a structural resilience analysis of the American electric power…

物理与社会 · 物理学 2020-06-19 Dakota J. Thompson , Wester C. H. Schoonenberg , Amro M. Farid

This paper proposes a linear approximation of the alternating current optimal power flow problem for multiphase distribution networks with voltage-dependent loads connected in both wye and delta configurations. We establish a set of linear…

最优化与控制 · 数学 2024-04-11 Geunyeong Byeon , Minseok Ryu , Kibaek Kim

Suppose that under the action of gravity, liquid drains through the unit $d$-cube via a minimal-length network of channels constrained to pass through random sites and to flow with nonnegative component in one of the canonical orthogonal…

概率论 · 数学 2010-09-01 Mathew D. Penrose , Andrew R. Wade

We consider a linear feeder connecting multiple distributed loads and generators to the sub-station. Voltage is controlled directly at the sub-station, however, voltage down the line shifts up or down, in particular depending on if the…

最优化与控制 · 数学 2016-11-15 Danhua Wang , Konstantin Turitsyn , Michael Chertkov

We consider the problem of deriving an explicit approximate solution of the nonlinear power equations that describe a balanced power distribution network. We give sufficient conditions for the existence of a practical solution to the power…

最优化与控制 · 数学 2019-07-09 Saverio Bolognani , Sandro Zampieri

Power grid outages cause huge economical and societal costs. Disruptions in the power distribution grid are responsible for a significant fraction of electric power unavailability to customers. The impact of extreme weather conditions,…

系统与控制 · 计算机科学 2015-06-30 Yakup Koc , Abhishek Raman , Martijn Warnier , Tarun Kumar

Recent works show conflicting results: network capacity may increase or decrease with higher transmission power under different scenarios. In this work, we want to understand this paradox. Specifically, we address the following questions:…

网络与互联网体系结构 · 计算机科学 2016-11-17 Yue Wang , John C. S. Lui , Dah-Ming Chiu

Public transport routes sharing the same grid of streets and tracks are often found to proceed in parallel along shorter or longer sequences of stations. Similar phenomena are observed in other networks built with space consuming links such…

物理与社会 · 物理学 2015-05-13 B. Berche , C. von Ferber , T. Holovatch

Distribution systems hold a very significant position in the power system since it is the main point of link between bulk power and consumers. A planned and effective distribution network is the key to cope up with the ever increasing…

其他计算机科学 · 计算机科学 2014-03-20 Ritu Parasher

The paper deals with the analysis of Burgers' equation on acyclic metric graphs. The main goal is to establish the existence of weak solutions in the $TV$ -- class of regularity. A key point is transmission conditions in vertices obeying…

偏微分方程分析 · 数学 2022-03-21 Piotr Bogusław Mucha , Aleksandra Puchalska

It is well known that physical interdependencies exist between networked civil infrastructures such as transportation and power system networks. In order to analyze complex nonlinear correlations between such networks, datasets pertaining…

系统与控制 · 电气工程与系统科学 2020-11-13 Rounak Meyur , Madhav Marathe , Anil Vullikanti , Henning Mortveit , Virgilio Centeno , Arun Phadke

This study addresses the transmission value of energy storage in electric grids. The inherent connection between storage and transmission infrastructure is captured from a "cumulative energy" perspective, which enables the reformulating of…

系统与控制 · 电气工程与系统科学 2024-07-15 Qian Zhang , P. R. Kumar , Le Xie

The increasing amount of controllable generation and consumption in distribution grids poses a severe challenge in keeping voltage values within admissible ranges. Existing approaches have considered different optimal power flow…

系统与控制 · 电气工程与系统科学 2019-07-25 Miguel Picallo , Adolfo Anta , Bart De Schutter

We study diffusion in a network which is governed by non-autonomous Kirchhoff conditions at the vertices of the graph. Also the diffusion coefficients may depend on time. We prove at first a result on existence and uniqueness using form…

偏微分方程分析 · 数学 2014-03-12 Wolfgang Arendt , Dominik Dier , Marjeta Kramar Fijavž

The North American power grid is one of the most complex technological networks, and its interconnectivity allows both for long-distance power transmission and for the propagation of disturbances. We model the power grid using its actual…

其他凝聚态物理 · 物理学 2009-11-10 Ryan Kinney , Paolo Crucitti , Reka Albert , Vito Latora

Proliferation of grid resources on the distribution network along with the inability to forecast them accurately will render the existing methodology of grid operation and control untenable in the future. Instead, a more distributed yet…

信号处理 · 电气工程与系统科学 2021-09-21 Amritanshu Pandey , Shimiao Li , Larry Pileggi