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In the context of renewable energies, wind energy appears as a sustainable alternative to address current environmental and energy challenges. This work studies the synchronization and stability of a network of wind turbines subjected to…

We present a new stochastic approach to describe and remodel the conversion process of a wind farm at a sampling frequency of 1Hz. When conditioning on various wind direction sectors, the dynamics of the conversion process appear as a…

数据分析、统计与概率 · 物理学 2015-09-11 Patrick Milan , Matthias Wächter , Joachim Peinke

In stochastic population dynamics, stochastic wandering can produce transition to an absorbing state. In particular, under Allee effects, low densities amplify the possibility of population collapse. We investigate this in an…

种群与进化 · 定量生物学 2026-01-13 Luis F. Gordillo , Priscilla E. Greenwood

In this paper, we analyze the use of the Ornstein-Uhlenbeck process to model dynamical systems subjected to bounded noisy perturbations. In order to discuss the main characteristics of this new approach we consider some basic models in…

In this paper we analyze a chemostat model with wall growth where the input flow is affected by two different stochastic processes: the well-known standard Wiener process, which leads into several drawbacks from the biological point of…

动力系统 · 数学 2024-01-17 Javier López-de-la-Cruz

We determine the smallest instantaneous increase in the strength of an opposing wind that is necessary to permanently reverse the forward displacement flow that is driven by a two-layer thermal stratification. With an interpretation in…

流体动力学 · 物理学 2019-05-01 John Craske , Graham O. Hughes

Naturally ventilated buildings harness freely-available resources such as internal buoyancy gains and wind forcing in achieving comfortable interior conditions. Although these resources are free, they are time-variable and can be difficult…

流体动力学 · 物理学 2018-09-18 Vincent Mayoraz , M. R. Flynn

A method is developed to estimate the properties of a global hydrodynamic instability in turbulent flows from measurement data of the limit-cycle oscillations. For this purpose, the flow dynamics are separated in deterministic contributions…

流体动力学 · 物理学 2021-04-21 Moritz Sieber , C. Oliver Paschereit , Kilian Oberleithner

Resistive switching is one of the foremost candidates for building novel types of non-volatile random access memories. Any practical implementation of such a memory cell calls for a strong miniaturization, at which point fluctuations start…

材料科学 · 物理学 2017-10-11 Paul K. Radtke , Andrew L. Hazel , Arthur V. Straube , Lutz Schimansky-Geier

The Ornstein-Uhlenbeck (OU) process describes the dynamics of Brownian particles in a confining harmonic potential, thereby constituting the paradigmatic model of overdamped, mean-reverting Langevin dynamics. Despite its widespread…

统计力学 · 物理学 2024-05-16 Luca Cocconi , Henry Alston , Jacopo Romano , Thibault Bertrand

Low-fidelity analytical models of turbine wakes have traditionally been used for wind farm planning, performance evaluation, and demonstrating the utility of advanced control algorithms in increasing the annual energy production. In…

流体动力学 · 物理学 2022-08-26 Aditya H. Bhatt , Federico Bernardoni , Stefano Leonardi , Armin Zare

The dynamical evolution of dislocations in plastically deformed metals is controlled by both deterministic factors arising out of applied loads and stochastic effects appearing due to fluctuations of internal stress. Such type of stochastic…

统计力学 · 物理学 2016-09-21 Amit K. Chattopadhyay , Elias C. Aifantis

Nonequilibrium systems with large-scale fluctuations of a suitable system parameter are often effectively described by a superposition of two statistics, a superstatistics. Here we illustrate this concept by analysing experimental data of…

统计力学 · 物理学 2009-11-11 C. Beck , E. G. D. Cohen , S. Rizzo

In the last ten years, a number of ``Conventional Fluctuation Theorems'' have been derived for systems with deterministic or stochastic dynamics, in a transient or in a non-equilibrium stationary state. These theorems gave explicit…

统计力学 · 物理学 2007-05-23 R. van Zon , E. G. D. Cohen

Modelling the intermittency of wind speed has got significant relevance on many fields, including wind power generation and distribution. Most of the available modelling techniques assume the temporal fluctuations in the wind is stochastic…

大气与海洋物理 · 物理学 2022-04-15 G V Drisya , Alex Thumba

Stochastic wind sea is an intermediate small-scale physical process responsible for the state of the atmospheric boundary layer and the water upper layer, having dynamics of all scales. To describe behavior of this system, one could use the…

大气与海洋物理 · 物理学 2010-09-13 Vladislav Polnikov

The paper presents a stochastic approach to estimate the aerodynamic forces with local dynamics on wind turbine blades in unsteady wind inflow. This is done by integrating a stochastic model of lift and drag dynamics for an airfoil into the…

流体动力学 · 物理学 2015-06-12 Muhammad Ramzan Luhur , Joachim Peinke , Martin Kühn , Matthias Wächter

Mitigating climate change demands a transition towards renewable electricity generation, with wind power being a particularly promising technology. Long periods either of high or of low wind therefore essentially define the necessary amount…

大气与海洋物理 · 物理学 2020-01-07 Juliane Weber , Mark Reyers , Christian Beck , Marc Timme , Joaquim G. Pinto , Dirk Witthaut , Benjamin Schäfer

We study a stochastic model for the diffusion of competing opinions in a population composed of three types of agents: trend-followers, opposers, and indifferent individuals. The decision dynamics are driven by reinforcement mechanisms,…

概率论 · 数学 2025-06-24 Manuel González-Navarrete

The Lorenz equations [1] are a severe Galerkin-truncation of the Oberbeck-Boussinesq (OB) equations describing Rayleigh-B\'enard convection (RBC). Here we examine the mathematical connections between the chaotic lobe-switching behavior of a…

流体动力学 · 物理学 2026-05-29 Yanni Bills , J. S. Wettlaufer
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