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Accurate models of turbulent wind fields have become increasingly important in the atmospheric sciences, e.g., for the determination of spatiotemporal correlations in wind parks, the estimation of individual loads on turbine rotor and…

Fluid Dynamics · Physics 2022-09-02 Jan Friedrich , Daniela Moreno , Michael Sinhuber , Matthias Waechter , Joachim Peinke

Wind turbines located in wind farms are operated to maximize only their own power production. Individual operation results in wake losses that reduce farm energy. In this study, we operate a wind turbine array collectively to maximize total…

A comparison between linear stability analysis and observations of pulsation modes in five delta Scuti stars, belonging to the same cluster, is presented. The study is based on the work by Michel et al. (1999), in which such a comparison…

Astrophysics · Physics 2009-06-23 J. C. Suarez , E. Michel , G. Houdek , F. Perez Hernandez , Y. Lebreton

The probabilistic characteristics of daily wind speed are not well captured by simple density functions such as Normal or Weibull distribuions as suggested by the existing literature. The unmodeled uncertainties can cause unknown influences…

Systems and Control · Computer Science 2018-09-17 Weigao Sun , Mohsen Zamani , Hai-Tao Zhang , Yuanzheng Li

Recent studies increasingly adopt simulation-based machine learning (ML) models to analyze critical infrastructure system resilience. For realistic applications, these ML models consider the component-level characteristics that influence…

Machine Learning · Computer Science 2022-05-09 Srijith Balakrishnan , Beatrice Cassottana , Arun Verma

This paper proposes a method for the Harmonic Stability Assessment (HSA) of power systems with a high share of Converter-Interfaced Distributed Energy Resources (CIDERs). To this end, the Harmonic State-Space (HSS) model of a generic power…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Johanna Kristin Maria Becker , Andreas Martin Kettner , Mario Paolone

Owing to its minimal pollution and efficient energy use, wind energy has become one of the most widely exploited renewable energy resources. The successful integration of wind power into the grid system is contingent upon accurate wind…

Machine Learning · Computer Science 2024-09-02 Ephrem Admasu Yekun , Alem H. Fitwib , Selvi Karpaga Subramaniand , Anubhav Kumard , Teshome Goa Tella

The increasing penetration of distributed energy resources (DERs) will decrease the rotational inertia of the power system and further degrade the system frequency stability. To address the above issues, this paper leverages the advanced…

Systems and Control · Electrical Eng. & Systems 2023-04-24 Linwei Sang , Yinliang Xu , Zhongkai Yi , Lun Yang , Huan Long , Hongbin Sun

In this paper, the variable wind power is incorporated into the dynamic model for long-term stability analysis. A theory-based method is proposed for power systems with wind power to conduct long-term stability analysis, which is able to…

Systems and Control · Computer Science 2016-11-15 Xiaozhe Wang , Hsiao-Dong Chiang , Jianhui Wang , Hui Liu , Tao Wang

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…

Applications · Statistics 2021-01-22 Tobias Braun , Matthias Waechter , Joachim Peinke , Thomas Guhr

Networks of coupled degrade-and-fire (DF) oscillators are simple dynamical models of assemblies of interacting self-repressing genes. For mean-field interactions, which most mathematical studies have assumed so far, every trajectory must…

Adaptation and Self-Organizing Systems · Physics 2016-05-25 Alex Blumenthal , Bastien Fernandez

Dynamic fluctuations in the wind field to which a wind turbine (WT) is exposed to are responsible for fatigue loads on its components. To reduce structural loads in WTs, advanced control schemes have been proposed. In recent years,…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Edwin Kipchirchir , Jonathan Liebeton , Dirk Söffker

Mode clustering is a nonparametric method for clustering that defines clusters using the basins of attraction of a density estimator's modes. We provide several enhancements to mode clustering: (i) a soft variant of cluster assignment, (ii)…

Methodology · Statistics 2015-12-23 Yen-Chi Chen , Christopher R. Genovese , Larry Wasserman

The paper investigates a variant of semi-implicit spectral deferred corrections (SISDC) in which the stiff, fast dynamics correspond to fast propagating waves ("fast-wave slow-wave problem"). We show that for a scalar test problem with two…

Numerical Analysis · Mathematics 2016-08-18 Daniel Ruprecht , Robert Speck

Wind power forecasting (WPF), as a significant research topic within renewable energy, plays a crucial role in enhancing the security, stability, and economic operation of power grids. However, due to the high stochasticity of…

Machine Learning · Computer Science 2025-04-16 Mingyi Zhu , Zhaoxin Li , Qiao Lin , Li Ding

Diffusion models (DMs) represent state-of-the-art generative models for continuous inputs. DMs work by constructing a Stochastic Differential Equation (SDE) in the input space (ie, position space), and using a neural network to reverse it.…

Machine Learning · Computer Science 2024-05-14 Tianrong Chen , Jiatao Gu , Laurent Dinh , Evangelos A. Theodorou , Joshua Susskind , Shuangfei Zhai

In this paper, an online multiscale model reduction method is presented for stochastic partial differential equations (SPDEs) with multiplicative noise, where the diffusion coefficient is spatially multiscale and the noise perturbation…

Numerical Analysis · Mathematics 2022-04-26 Lijian Jiang , Mengnan Li , Meng Zhao

We propose a framework employing stochastic differential equations to facilitate the long-term stability analysis of power grids with intermittent wind power generations. This framework takes into account the discrete dynamics which play a…

Systems and Control · Computer Science 2017-03-10 Xiaozhe Wang , Tao Wang , Hsiao-Dong Chiang , Jianhui Wang , Hui Liu

A characteristic mode (CM) method that relies on a global multi-trace formulation (MTF) of surface integral equations is proposed to compute the modes and the resonance frequencies of microstrip patch antennas with finite dielectric…

Computational Engineering, Finance, and Science · Computer Science 2023-10-24 Ran Zhao , Yuyu Lu , Guang Shang Cheng , Wei Zhu , Jun Hu , Hakan Bagci

The modeling of cascading failure in power systems is difficult because of the many different mechanisms involved; no single model captures all of these mechanisms. Understanding the relative importance of these different mechanisms is an…

Physics and Society · Physics 2016-11-17 Jiajia Song , Eduardo Cotilla-Sanchez , Goodarz Ghanavati , Paul D. H. Hines