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A method is proposed to reconstruct a cyclic time-inhomogeneous Markov pro- cess from measured data. First, a time-inhomogeneous Markov model is fit to the data, taken here from measurements on a wind turbine. From the time-dependent…

Data Analysis, Statistics and Probability · Physics 2014-06-16 Teresa Scholz , Vitor V. Lopes , Pedro Lind , Frank Raischel

Using a method for stochastic data analysis, borrowed from statistical physics, we analyze synthetic data from a Markov chain model that reproduces measurements of wind speed and power production in a wind park in Portugal. We first show…

Data Analysis, Statistics and Probability · Physics 2015-06-11 Frank Raischel , Teresa Scholz , Vitor V. Lopes , Pedro G. Lind

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

Wind power generation exhibits a strong temporal variability, which is crucial for system integration in highly renewable power systems. Different methods exist to simulate wind power generation but they often cannot represent the crucial…

Data Analysis, Statistics and Probability · Physics 2018-04-04 Juliane Weber , Christopher Zachow , Dirk Witthaut

This paper addresses the problem of predicting a wind farm's power generation when no or few statistical data is available. The study is based on a time-series wind speed model and on a simple dynamic model of a DFIG wind turbine including…

Applications · Statistics 2008-12-18 Herman Bayem , Yannick Phulpin , Philippe Dessante , Julien Bect

In this paper we consider the problem of wind energy production by using a second order semi-Markov chain in state and duration as a model of wind speed. The model used in this paper is based on our previous work where we have showed the…

Data Analysis, Statistics and Probability · Physics 2013-01-08 Guglielmo D'Amico , Filippo Petroni , Flavio Prattico

Renewable energy sources provide a constantly increasing contribution to the total energy production worldwide. However, the power generation from these sources is highly variable due to their dependence on meteorological conditions.…

Applications · Statistics 2019-03-05 Thordis Thorarinsdottir , Anders Løland , Alex Lenkoski

The computation of the dependability measures is a crucial point in the planning and development of a wind farm. In this paper we address the issue of energy production by wind turbine by using an indexed semi-Markov chain as a model of…

Data Analysis, Statistics and Probability · Physics 2013-11-27 Guglielmo D'Amico , Filippo Petroni , Flavio Prattico

Modeling wind speed is one of the key element when dealing with the production of energy through wind turbines. A good model can be used for forecasting, site evaluation, turbines design and many other purposes. In this work we are…

Data Analysis, Statistics and Probability · Physics 2015-02-12 G. D'Amico , F. Petroni , F. Prattico

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…

Data Analysis, Statistics and Probability · Physics 2015-09-11 Patrick Milan , Matthias Wächter , Joachim Peinke

In this paper, a model predictive control scheme for wind farms is presented. Our approach considers wake dynamics including their influence on local wind conditions and allows to track a given power reference. In detail, a Gaussian wake…

Systems and Control · Electrical Eng. & Systems 2024-05-22 Arnold Sterle , Christian A. Hans , Jörg Raisch

Weconsider Markov decision processes arising from a Markov model of an underlying natural phenomenon. Such phenomena are usually periodic (e.g. annual) in time, and so the Markov processes modelling them must be time-inhomogeneous, with…

Optimization and Control · Mathematics 2024-09-17 Arash Khojaste , Geoffrey Pritchard , Golbon Zakeri

We consider an energy storage problem involving a wind farm with a forecasted power output, a stochastic load, an energy storage device, and a connection to the larger power grid with stochastic prices. Electricity prices and wind power…

Optimization and Control · Mathematics 2020-02-04 Joseph L. Durante , Juliana Nascimento , Warren B. Powell

The increasing interest in renewable energy, particularly in wind, has given rise to the necessity of accurate models for the generation of good synthetic wind speed data. Markov chains are often used with this purpose but better models are…

Data Analysis, Statistics and Probability · Physics 2012-09-10 Guglielmo D'Amico , Filippo Petroni , Flavio Prattico

Wind energy makes a significant contribution to global power generation. Predicting wind turbine capacity is becoming increasingly crucial for cleaner production. For this purpose, a new information priority accumulated grey model with time…

Applications · Statistics 2019-10-22 Jie Xia , Xin Ma , Wenqing Wu , Baolian Huang , Wanpeng Li

In this article we present an approach that enables joint wind speed and wind power forecasts for a wind park. We combine a multivariate seasonal time varying threshold autoregressive moving average (TVARMA) model with a power threshold…

Applications · Statistics 2016-06-03 Florian Ziel , Carsten Croonenbroeck , Daniel Ambach

The prediction of wind speed is very important when dealing with the production of energy through wind turbines. In this paper, we show a new nonparametric model, based on semi-Markov chains, to predict wind speed. Particularly we use an…

Data Analysis, Statistics and Probability · Physics 2013-12-16 Guglielmo D'Amico , Filippo Petroni , Flavio Prattico

Wind farms are a crucial driver toward the generation of ecological and renewable energy. Due to their rapid increase in capacity, contemporary wind farms need to adhere to strict constraints on power output to ensure stability of the…

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…

Many wind speed forecasting approaches have been proposed in literature. In this paper a new statistical approach for jointly predicting wind speed, wind direction and air pressure is introduced. The wind direction and the air pressure are…

Applications · Statistics 2017-07-14 Daniel Ambach , Wolfgang Schmid
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