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The time elapsed model describes the firing activity of an homogeneous assembly of neurons thanks to the distribution of times elapsed since the last discharge. It gives a mathematical description of the probability density of neurons…

偏微分方程分析 · 数学 2011-09-16 Khashayar Pakdaman , Benoît Perthame , Delphine Salort

The energy mix of future power systems will include high shares of wind power and solar PV. These generation facilities are generally connected via power-electronic inverters. While conventional generation responds dynamically to the state…

系统与控制 · 电气工程与系统科学 2023-03-31 Philipp C. Böttcher , Leonardo Rydin Gorjão , Dirk Witthaut

In this paper, the synchronization in a hyper-network of coupled dynamical systems is investigated for the first time. An evolving hyper-network model is proposed for better describing some complex systems. A concept of joint degree is…

适应与自组织系统 · 物理学 2015-03-13 Zhaoyan Wu , Jinqiao Duan , Xinchu Fu

In this article, we study algorithms for dynamic networks with asynchronous start, i.e., each node may start running the algorithm in a different round. Inactive nodes transmit only heartbeats, which contain no information but can be…

分布式、并行与集群计算 · 计算机科学 2017-06-27 Bernadette Charron-Bost , Shlomo Moran

Electric power-systems are one of the most important critical infrastructures. In recent years, they have been exposed to extreme stress due to the increasing demand, the introduction of distributed renewable energy sources, and the…

物理与社会 · 物理学 2016-07-13 Antonio Scala , Pier Giorgio De Sanctis Lucentini

This paper develops a new analytical model to estimate real-time variations in grid frequency and voltages resulting from dynamic network reconfiguration (DNR). In the proposed model, switching operations are considered as discrete…

系统与控制 · 电气工程与系统科学 2020-12-15 Jae-Young Park , Young-Jin Kim

With the advent of 21st century and increasing advancements in the field of technology and connectivity, inter-networking in real-time has achieved great importance. Distributed control and multi-agent paradigm has groped rapidly with…

系统与控制 · 电气工程与系统科学 2021-07-06 Pratik K. Bajaria

The critical infrastructures of the nation such as the power grid and the communication network are highly interdependent. Also, it has been observed that there exists complex interdependent relationships between individual entities of the…

物理与社会 · 物理学 2017-02-20 Joydeep Banerjee , Arun Das , Arunabha Sen

To mitigate climate change, the share of renewable needs to be increased. Renewable energies introduce new challenges to power grids due to decentralization, reduced inertia and volatility in production. The operation of sustainable power…

机器学习 · 计算机科学 2023-01-25 Christian Nauck , Michael Lindner , Konstantin Schürholt , Frank Hellmann

The new technologies emerging in the energy sector pose new requirements for both the regulation and operation of the electricity grid. Revised tariff structures and the introduction of local markets are two approaches that could tackle the…

系统与控制 · 电气工程与系统科学 2021-03-19 Bence Suto , Daniel Divenyi

We present the $\delta$-Synchronizer, which works in non-synchronous dynamic networks under minimal assumptions. Our model allows for arbitrary topological changes without any guarantee of eventual global or partial stabilization and…

分布式、并行与集群计算 · 计算机科学 2025-10-30 Rida Bazzi , Cameron Bickley , Anya Chaturvedi , Andréa W. Richa , Peter Vargas

The study of synchronization of coupled systems is currently undergoing a major surge fueled by recent discoveries of new forms of collective dynamics and the development of techniques to characterize a myriad of new patterns of network…

无序系统与神经网络 · 物理学 2016-10-05 Daniel M. Abrams , Louis M. Pecora , Adilson E. Motter

An inevitable consequence of the global power system transition towards nearly 100% renewable-based generation is the loss of conventional bulk generation by synchronous machines, their inertia, and accompanying frequency and voltage…

系统与控制 · 电气工程与系统科学 2020-03-11 Ali Tayyebi , Dominic Groß , Adolfo Anta , Friederich Kupzog , Florian Dörfler

The solar wind plasma from the Sun interacts with the Moon, generating a wake structure behind it, since the Moon is to a good approximation an insulator, has no intrinsic magnetic field and a very thin atmosphere. The lunar wake in…

天体物理学 · 物理学 2009-11-06 Paul C. Birch , Sandra C. Chapman

If a disturbance rocks a low-inertia power system, the frequency decline may be too rapid to arrest before it triggers undesirable responses from generators and loads. In the worst case, this instability could lead to blackout and major…

系统与控制 · 电气工程与系统科学 2022-07-08 Adam B. Birchfield

We consider weighted coupled cell networks, that is networks where the interactions between any two cells have an associated weight that is a real valued number. Weighted networks are ubiquitous in real-world applications. We consider a…

动力系统 · 数学 2020-06-26 Manuela Aguiar , Ana Dias

We study optimal synchronization in networks of heterogeneous phase oscillators. Our main result is the derivation of a synchrony alignment function that encodes the interplay between network structure and oscillators' frequencies and can…

适应与自组织系统 · 物理学 2014-10-21 Per Sebastian Skardal , Dane Taylor , Jie Sun

We propose a phase model to study cascade failure in power grids composed of generators and loads. If the power demand is below a critical value, the model system of power grids maintains the standard frequency by feedback control. On the…

物理与社会 · 物理学 2015-06-05 Hidetsugu Sakaguchi , Tatsuma Matsuo

The frequency constitutes a key state variable of electrical power grids. However, as the frequency is subject to several sources of fluctuations, ranging from renewable volatility to demand fluctuations and dispatch, it is strongly…

适应与自组织系统 · 物理学 2020-03-25 Mehrnaz Anvari , Leonardo Rydin Gorjão , Marc Timme , Dirk Witthaut , Benjamin Schäfer , Holger Kantz

We study, both analytically and numerically, the dynamics of mechanical oscillators kept in motion by a feedback force, which is generated electronically from a signal produced by the oscillators themselves. This kind of self-sustained…

适应与自组织系统 · 物理学 2015-06-15 Sebastian I. Arroyo , Damian H. Zanette