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Fluctuations represent a major challenge for the incorporation of electric power from large wind-farms into power grids. Wind farm power output fluctuates strongly in time, over various time scales. Understanding these fluctuations,…

Fluid Dynamics · Physics 2014-12-24 Richard J. A. M. Stevens , Charles Meneveau

An analytical model for the streamwise velocity space-time correlations in turbulent flows is derived and applied to the special case of velocity fluctuations in large wind farms. The model is based on the Kraichnan-Tennekes random sweeping…

Fluid Dynamics · Physics 2023-05-18 Laura J. Lukassen , Richard J. A. M. Stevens , Charles Meneveau , Michael Wilczek

The growth of wind generation capacities in the past decades has shown that wind energy can contribute to the energy transition in many parts of the world. Being highly variable and complex to model, the quantification of the…

Signal Processing · Electrical Eng. & Systems 2022-07-19 Federico Amato , Fabian Guignard , Alina Walch , Nahid Mohajeri , Jean-Louis Scartezzini , Mikhail Kanevski

With the rapid advances of data acquisition techniques, spatio-temporal data are becoming increasingly abundant in a diverse array of disciplines. Here we develop spatio-temporal regression methodology for analyzing large amounts of…

Methodology · Statistics 2021-12-01 Ting Fung Ma , Fangfang Wang , Jun Zhu , Anthony R. Ives , Katarzyna E. Lewińska

Time series on the unit n-sphere arise in directional statistics, compositional data analysis, and many scientific fields. There are few models for such data, and the ones that exist suffer from several limitations: they are often…

Methodology · Statistics 2024-08-06 John Zito , Daniel Kowal

Renewable sources of energy such as wind power have become a sustainable alternative to fossil fuel-based energy. However, the uncertainty and fluctuation of the wind speed derived from its intermittent nature bring a great threat to the…

Applications · Statistics 2019-07-02 Daniela Castro-Camilo , Raphaël Huser , Håvard Rue

Spatio-temporal area-level datasets play a critical role in official statistics, providing valuable insights for policy-making and regional planning. Accurate modeling and forecasting of these datasets can be extremely useful for…

Machine Learning · Computer Science 2026-01-06 Zhenhua Wang , Scott H. Holan , Christopher K. Wikle

We introduce a Gaussian process-based model for handling of non-stationarity. The warping is achieved non-parametrically, through imposing a prior on the relative change of distance between subsequent observation inputs. The model allows…

Machine Learning · Statistics 2019-12-06 David Tolpin

In this study, we present an improved formulation for the wake-added turbulence to enhance the accuracy of intra-farm and farm-to-farm wake modeling through analytical frameworks. Our goal is to address the tendency of a commonly used…

Fluid Dynamics · Physics 2024-12-11 Navid Zehtabiyan-Rezaie , Josephine Perto Justsen , Mahdi Abkar

Gaussian random fields with Mat\'ern covariance functions are popular models in spatial statistics and machine learning. In this work, we develop a spatio-temporal extension of the Gaussian Mat\'ern fields formulated as solutions to a…

Methodology · Statistics 2023-04-06 Finn Lindgren , Haakon Bakka , David Bolin , Elias Krainski , Håvard Rue

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…

Fluid Dynamics · Physics 2022-08-26 Aditya H. Bhatt , Federico Bernardoni , Stefano Leonardi , Armin Zare

Directional data arise in various contexts such as oceanography (wave directions) and meteorology (wind directions), as well as with measurements on a periodic scale (weekdays, hours, etc.). Our contribution is to introduce a model-based…

Applications · Statistics 2013-01-09 Giovanna Jona-Lasinio , Alan Gelfand , Mattia Jona-Lasinio

Wind farm parameterizations are crucial for quantifying the wind-farm atmosphere interaction, where wind turbines are typically modeled as elevated momentum sinks and sources of turbulence kinetic energy (TKE). These quantities must be…

Fluid Dynamics · Physics 2026-02-09 Bowen Du , Qi Li , Mingwei Ge , Xintao Li , Yongqian Liu

Earth system models (ESMs), which simulate the physics and chemistry of the global atmosphere, land, and ocean, are often used to generate future projections of climate change scenarios. These models are far too computationally intensive to…

Neural and Evolutionary Computing · Computer Science 2020-11-25 Alexandra Puchko , Robert Link , Brian Hutchinson , Ben Kravitz , Abigail Snyder

Ecological momentary assessment (EMA) data have a broad base of application in the study of time trends and relations. In EMA studies, there are a number of design considerations which influence the analysis of the data. One general…

Probabilistic forecasts of wind speed are important for a wide range of applications, ranging from operational decision making in connection with wind power generation to storm warnings, ship routing and aviation. We present a statistical…

Applications · Statistics 2016-08-06 Michael Scheuerer , David Möller

Latent force models (LFM) are principled approaches to incorporating solutions to differential equations within non-parametric inference methods. Unfortunately, the development and application of LFMs can be inhibited by their computational…

Machine Learning · Statistics 2014-05-30 Steven Reece , Stephen Roberts , Siddhartha Ghosh , Alex Rogers , Nicholas Jennings

Ocean wave climate has a significant impact on near-shore and off-shore human activities, and its characterisation can help in the design of ocean structures such as wave energy converters and sea dikes. Therefore, engineers need long time…

Machine Learning · Statistics 2022-05-27 Said Obakrim , Valérie Monbet , Nicolas Raillard , Pierre Ailliot

Capturing the correlation emerging between constituents of many-body systems accurately is one of the key challenges for the appropriate description of various systems whose properties are underpinned by quantum mechanical fundamentals.…

Quantum Physics · Physics 2023-08-17 Yannic Rath

Quantifying the impacts of anthropogenic global warming requires accurate Earth system model (ESM) simulations. Statistical bias correction and downscaling can be applied to reduce errors and increase the resolution of ESMs. However,…

Geophysics · Physics 2024-06-24 Philipp Hess , Niklas Boers