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The way in which electric power depends on the topology of circuits with mixed voltage and current sources is examined. The power flowing in any steady-state DC circuit is shown to depend on a minimal set of key variables called fundamental…

系统与控制 · 计算机科学 2017-09-25 Shuai Wang , John Baillieul

Due to the increasing share of renewable energy resources and the emergence of couplings of different energy carrier grids, which may support the electricity networks by providing additional flexibility, conducting research on the…

系统与控制 · 电气工程与系统科学 2024-07-02 Rico Schrage , Astrid Nieße

A complex network processing information or physical flows is usually characterized by a number of macroscopic quantities such as the diameter and the betweenness centrality. An issue of significant theoretical and practical interest is how…

统计力学 · 物理学 2009-11-11 Xingang Wang , Ying-Cheng Lai , Chong Heng Lai

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

Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by underlying network symmetry, and a high degree of symmetry is…

适应与自组织系统 · 物理学 2019-02-18 Joseph D. Hart , Yuanzhao Zhang , Rajarshi Roy , Adilson E. Motter

Unstoppable feedback loops and tipping points in socio-ecological systems are the main threats to sustainability. These behaviors have been extensively studied, notably to predict, and arguably deviate, dead-end trajectories. Behind the…

动力系统 · 数学 2023-05-11 Olivier Hamant

Over the past two decades, complex network theory provided the ideal framework for investigating the intimate relationships between the topological properties characterizing the wiring of connections among a system's unitary components and…

Long and stable timescales are often observed in complex biochemical networks, such as in emergent oscillations. How these robust dynamics persist remains unclear, given the many stochastic reactions and shorter time scales demonstrated by…

生物物理 · 物理学 2024-08-02 Chongbin Zheng , Evelyn Tang

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

动力系统 · 数学 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

The centralized power generation infrastructure that defines the North American electric grid is slowly moving to the distributed architecture due to the explosion in use of renewable generation and distributed energy resources (DERs), such…

最优化与控制 · 数学 2022-04-27 Mayank Baranwal , Kunal Garg , Dimitra Panagou , Alfred O. Hero

The power grid defines one of the most important technological networks of our times and sustains our complex society. It has evolved for more than a century into an extremely huge and seemingly robust and well understood system. But it…

物理与社会 · 物理学 2009-11-13 Ricard V. Solé , Martí Rosas-Casals , Bernat Corominas-Murtra , Sergi Valverde

Reliable functioning of supply and transport networks fundamentally support many non-equilibrium dynamical systems, from biological organisms and ecosystems to human-made water, gas, heat, electricity and traffic networks. Strengthening an…

适应与自组织系统 · 物理学 2022-05-31 Debsankha Manik , Dirk Witthaut , Marc Timme

This paper presents a complex systems overview of a power grid network. In recent years, concerns about the robustness of the power grid have grown because of several cascading outages in different parts of the world. In this paper,…

适应与自组织系统 · 物理学 2010-06-24 Sakshi Pahwa , Amelia Hodges , Caterina Scoglio , Sean Wood

This paper investigates the endogenous formation of supply chains and its consequences for disruption propagation. In production networks where upstream risk is highly correlated and supplier relationships are not observable, the marginal…

理论经济学 · 经济学 2024-05-24 Andrea Titton

We present a fluid-dynamic model for the simulation of urban traffic networks with road sections of different lengths and capacities. The model allows one to efficiently simulate the transitions between free and congested traffic, taking…

科普物理 · 物理学 2007-05-23 Dirk Helbing , Stefan Lämmer , Jean-Patrick Lebacque

We investigate the structural organization of the point-to-point electric, diffusive or hydraulic transport in complex scale-free networks. The random choice of two nodes, a source and a drain, to which a potential difference is applied,…

Renewables will soon dominate energy production in our electric power system. And yet, how to integrate renewable energy into the grid and the market is still a subject of major debate. Decentral Smart Grid Control (DSGC) was recently…

适应与自组织系统 · 物理学 2016-10-31 Benjamin Schäfer , Carsten Grabow , Sabine Auer , Jürgen Kurths , Dirk Witthaut , Marc Timme

Complex networks characterized by global transport processes rely on the presence of directed paths from input to output nodes and edges, which organize in characteristic linked components. The analysis of such network-spanning structures…

无序系统与神经网络 · 物理学 2015-05-13 M. Angeles Serrano , Paolo De Los Rios

Improving distribution grid reliability is a major challenge for planning and operation of distribution systems having a high share of distributed generators (DGs). The rise of DGs share can lead to unplanned contingencies while on the…

系统与控制 · 电气工程与系统科学 2020-04-23 Sohail Khan , Sawsan Henein , Helfried Brunner

Cities are the drivers of socio-economic innovation, and are also forced to address the accelerating risk of failure in providing essential services such as water supply today and in the future. Here, we investigate the resilience of urban…

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