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We model power grids transporting electricity generated by intermittent renewable sources as complex networks, where line failures can emerge indirectly by noisy power input at the nodes. By combining concepts from statistical physics and…

物理与社会 · 物理学 2018-06-27 Tommaso Nesti , Alessandro Zocca , Bert Zwart

It is well-known that optimizing network topology by switching on and off transmission lines improves the efficiency of power delivery in electrical networks. In fact, the USA Energy Policy Act of 2005 (Section 1223) states that the U.S.…

最优化与控制 · 数学 2017-06-14 Burak Kocuk , Hyemin Jeon , Santanu S. Dey , Jeff Linderoth , James Luedtke , Andy Sun

A new graph dual formalism is presented for the analysis of line outages in electricity networks. The dual formalism is based on a consideration of the flows around closed cycles in the network. After some exposition of the theory is…

适应与自组织系统 · 物理学 2019-01-07 Henrik Ronellenfitsch , Debsankha Manik , Jonas Hörsch , Tom Brown , Dirk Witthaut

In the present work we theoretically study characteristics of nonlinear Seebeck effect in a single-molecule junction with chain-like bridge of an arbitrary length. We have employed tight-binding models to compute electron transmission…

介观与纳米尺度物理 · 物理学 2017-09-18 Natalya A. Zimbovskaya

In this paper, the power flow solution of the two bus network is used to analytically characterise maximum power transfer limits of distribution networks, when subject to both thermal and voltage constraints. Traditional analytic methods…

最优化与控制 · 数学 2017-10-24 Matthew Deakin , Thomas Morstyn , Dimitra Apostolopoulou , Malcolm McCulloch

Renewable generators perturb the electric power grid with heavily non-Gaussian and time correlated fluctuations. While changes in generated power on timescales of minutes and hours are compensated by frequency control measures, we report…

物理与社会 · 物理学 2019-05-29 Hauke Haehne , Katrin Schmietendorf , Samyak Tamrakar , Joachim Peinke , Stefan Kettemann

The common linear optimal power flow (LOPF) formulation that underlies most transmission expansion planning (TEP) formulations uses bus voltage angles as auxiliary optimization variables to describe Kirchhoff's voltage law. As well as…

系统与控制 · 电气工程与系统科学 2020-09-25 Fabian Neumann , Tom Brown

We study the Braess paradox in the transport network as originally proposed by Braess with totally asymmetric exclusion processes (TASEPs) on the edges. The Braess paradox describes the counterintuitive situation in which adding an edge to…

物理与社会 · 物理学 2016-12-28 Stefan Bittihn , Andreas Schadschneider

Cascade failures in power grids occur when the failure of one component or subsystem causes a chain reaction of failures in other components or subsystems, ultimately leading to a widespread blackout or outage. Controlling cascade failures…

物理与社会 · 物理学 2024-09-02 Géza Ódor , István Papp , Kristóf Benedek , Bálint Hartmann

How do local topological changes affect the global operation and stability of complex supply networks? Studying supply networks on various levels of abstraction, we demonstrate that and how adding new links may not only promote but also…

适应与自组织系统 · 物理学 2013-12-17 Dirk Witthaut , Marc Timme

The Braess's Paradox (BP) is the observation that adding one or more roads to the existing road network will counter-intuitively increase traffic congestion and slow down the overall traffic flow. Previously, the existence of the BP is…

系统与控制 · 电气工程与系统科学 2023-04-17 Dingyi Zhuang , Yuzhu Huang , Vindula Jayawardana , Jinhua Zhao , Dajiang Suo , Cathy Wu

We theoretically demonstrate that the transport inefficiency recently found experimentally for branched-out mesoscopic networks can also be observed in a quantum ring of finite width with an attached central horizontal branch. This is done…

介观与纳米尺度物理 · 物理学 2015-06-18 A. A. Sousa , Andrey Chaves , G. A. Farias , F. M. Peeters

The topological (graph) structure of complex networks often provides valuable information about the performance and vulnerability of the network. However, there are multiple ways to represent a given network as a graph. Electric power…

物理与社会 · 物理学 2014-05-20 Eduardo Cotilla-Sanchez , Paul D. H. Hines , Clayton Barrows , Seth Blumsack

A possible route towards achieving high power microwave (HPM) devices is through the use of novel slow-wave structures, represented by multiple coupled transmission lines (MTLs), and whose behavior when coupled to electron beams has not…

等离子体物理 · 物理学 2013-10-25 Venkata Ananth Tamma , Filippo Capolino

Carreras, Dobson and colleagues have studied empirical data on the sizes of the blackouts in real grids and modeled them by computer simulations using the direct current approximation. They have found that the resulting blackout sizes are…

物理与社会 · 物理学 2021-03-24 Yosef Kornbluth , Gabriel Cwilich , Sergey V. Buldyrev , Saleh Soltan , Gil Zussman

We use a power grid model with $M$ generators and $N$ consumption units to optimize the grid and its control. Each consumer demand is drawn from a predefined finite-size-support distribution, thus simulating the instantaneous load…

统计力学 · 物理学 2009-10-21 Lenka Zdeborová , Aurélien Decelle , Michael Chertkov

The failure of a single link can degrade the operation of a supply network up to the point of complete collapse. Yet, the interplay between network topology and locality of the response to such damage is poorly understood. Here, we study…

物理与社会 · 物理学 2019-05-22 Julius Strake , Franz Kaiser , Farnaz Basiri , Henrik Ronellenfitsch , Dirk Witthaut

The Braess paradox can be observed in road networks used by selfish users. It describes the counterintuitive situation in which adding a new, per se faster, origin-destination connection to a road network results in increased travel times…

物理与社会 · 物理学 2018-06-13 Stefan Bittihn , Andreas Schadschneider

The stable and efficient operation of the transmission network is fundamental to the power system's ability to deliver electricity reliably and cheaply. As average temperatures continue to rise, the ability of the transmission network to…

最优化与控制 · 数学 2021-06-25 J. Kyle Skolfield , Jose Ramirez-Vergara , Adolfo R. Escobedo

We investigate by random-walk simulations and a mean-field theory how growth by biased addition of nodes affects flow of the current through the emergent conducting graph, representing a digital circuit. In the interior of a large network…

统计力学 · 物理学 2009-11-07 Bosiljka Tadic , Vyatcheslav Priezzhev