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Coupling frequently enhances noise-induced coherence and synchronization in interacting nonlinear systems, but it does so separately. In principle collective stochastic coherence and synchronizability are incompatible phenomena, since…

适应与自组织系统 · 物理学 2015-06-17 Pablo Balenzuela , Pau Rué , Stefano Boccaletti , Jordi García-Ojalvo

The dynamic response of power grids to small events or persistent stochastic disturbances influences their stable operation. Low-frequency inter-area oscillations are of particular concern due to insufficient damping. This paper studies the…

最优化与控制 · 数学 2022-04-20 Manish K. Singh , Vassilis Kekatos

The stability of AC power grids relies on ancillary services that mitigate frequency fluctuations. The electromechanical inertia of large synchronous generators is currently the only resource to absorb frequency disturbances on sub-second…

系统与控制 · 电气工程与系统科学 2025-05-21 Julian Fritzsch , Philippe Jacquod

How to determine the vector of power supplies of a stochastic power system for the next short horizon, such that the probability is less than a prespecified value that any phase-angle difference of a power line of the power network exits…

系统与控制 · 电气工程与系统科学 2024-07-16 Zhen Wang , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen

We report the statistical properties of the fluctuations of the energy flux in an electronic RC circuit driven with a stochastic voltage. The fluctuations of the power injected in the circuit are measured as a function of the damping rate…

统计力学 · 物理学 2009-05-06 Claudio Falcón , Eric Falcon

Forced oscillation (FO) is a significant concern threating the power system stability. Its mechanisms are mostly studied via linear models. However, FO amplitude is increasing, e.g., Nordic and Western American FOs, which can stimulate…

系统与控制 · 电气工程与系统科学 2021-03-09 Yichen Zhou , Jianwei Wu

We make a short review about the synchronization in coupled phase oscillator models. Next, we study the common-noise-induced synchronization among active rotators. At an intermediate noise strength, the noise-induced synchronization takes…

适应与自组织系统 · 物理学 2015-05-13 Hidetsugu Sakaguchi

Oscillatory networks subjected to noise are broadly used to model physical and technological systems. Due to their nonlinear coupling, such networks typically have multiple stable and unstable states that a network might visit due to noise.…

斑图形成与孤子 · 物理学 2026-01-27 Jason Hindes , Ira B. Schwartz , Melvyn Tyloo

Turbulent systems exhibit a remarkable multi-scale complexity, in which spatial structures induce scale-dependent statistics with strong departures from Gaussianity. In Fourier space, this is reflected by pronounced phase synchronization. A…

With the increasing renewable energy sources, concerns about how renewable energy sources impact frequency have risen. There are few reports regarding power frequency status in worldwide main power grids and what are differences of…

系统与控制 · 电气工程与系统科学 2019-08-13 Xianda Deng , Hongyu Li , Wenpeng Yu , Wang Weikang , Yilu Liu

With increased attention on grid-forming inverters as a power system stabilizing device during periods of high shares of inverter-based resource operations, there is a present need for a transparent and rigorous investigation of the…

系统与控制 · 电气工程与系统科学 2022-10-11 Rick Wallace Kenyon , Amirhossein Sajadi , Matt Bossart , Andy Hoke , Bri-Mathias Hodge

Wind farms can be regarded as complex systems that are, on the one hand, coupled to the nonlinear, stochastic characteristics of weather and, on the other hand, strongly influenced by supervisory control mechanisms. One crucial problem in…

应用统计 · 统计学 2021-01-22 Tobias Braun , Matthias Waechter , Joachim Peinke , Thomas Guhr

The increase of electric demand and the progressive integration of renewable sources threatens the stability of the power grid. To solve this issue, several methods have been proposed to control the demand side instead of increasing the…

系统与控制 · 计算机科学 2018-05-22 Eder Batista Tchawou Tchuisseu , Damià Gomila , Pere Colet

Stochastic power fluctuation in a fiber optic system due to the interplay among dispersion, nonlinearity and partial coherence of the source is investigated. An analytical expression for the power fluctuation of a signal pulse due to its…

斑图形成与孤子 · 物理学 2020-03-23 Shiva Kumar , Jing Shao

Physical systems with co-existence and interplay of processes featuring distinct spatio-temporal scales are found in various research areas ranging from studies of brain activity to astrophysics. Complexity of such systems makes their…

We study the frequency and phase synchronization in two coupled identical and nonidentical neurons with channel noise. The occupation number method is used to model the neurons in the context of stochastic Hodgkin-Huxley model in which the…

神经元与认知 · 定量生物学 2007-11-07 L. C. Yu , Yong Chen , Pan Zhang

This paper analyzes how power injections affect frequency quality in power systems. We first derive a general expression linking active and reactive power injections at buses to the system's frequency. This formulation explicitly considers…

系统与控制 · 电气工程与系统科学 2025-05-20 Angel Vaca , Federico Milano

Synchronization is essential for proper functioning of the power grid. We investigate the synchronous state and its stability for a network with a cyclic topology and with the evolution of the states satisfying the swing equations. We…

混沌动力学 · 物理学 2017-09-13 Kaihua Xi , Johan. L. A. Dubbeldam , Haixiang Lin

The dynamics of power consumption constitutes an essential building block for planning and operating energy systems based on renewable energy supply. Whereas variations in the dynamics of renewable energy generation are reasonably well…

The integration of synchronous generators and energy storage systems operated through communication networks introduces new challenges and vulnerabilities to the electric grid, where cyber attacks can corrupt sensor measurements or control…

系统与控制 · 电气工程与系统科学 2022-07-26 Jairo Giraldo , Masood Parvania