Abstract

In this paper a methodology is presented that can be used to model the annual wind energy yield (AEYmod) on a high spatial resolution (50 m × 50 m) grid based on long-term (1979–2010) near-surface wind speed (US) time series measured at 58 stations of the German Weather Service (DWD). The study area for which AEYmod is quantified is the German federal state of Baden-Wuerttemberg. Comparability of the wind speed time series was ensured by gap filling, homogenization and detrending. The US values were extrapolated to the height 100 m (U100m,emp) above ground level (AGL) by the Hellman power law. All U100m,emp time series were then converted to empirical cumulative distribution functions (CDFemp). 67 theoretical cumulative distribution functions (CDF) were fitted to all CDFemp and their goodness of fit (GoF) was evaluated. It turned out that the five-parameter Wakeby distribution (WK5) is universally applicable in the study area. Prior to the least squares boosting (LSBoost)-based modeling of WK5 parameters, 92 predictor variables were obtained from: (i) a digital terrain model (DTM), (ii) the European Centre for Medium-Range Weather Forecasts re-analysis (ERA)-Interim reanalysis wind speed data available at the 850 hPa pressure level (U850hPa), and (iii) the Coordination of Information on the Environment (CORINE) Land Cover (CLC) data. On the basis of predictor importance (PI) and the evaluation of model accuracy, the combination of predictor variables that provides the best discrimination between U100m,emp and the modeled wind speed at 100 m AGL (U100m,mod), was identified. Results from relative PI-evaluation demonstrate that the most important predictor variables are relative elevation (Φ) and topographic exposure (τ) in the main wind direction. Since all WK5 parameters are available, any manufacturer power curve can easily be applied to quantify AEYmod.

Highlights

  • The world’s energy supply is facing multiple challenges

  • All U100m,emp time series were converted to empirical cumulative distribution functions (CDFemp ). 67 theoretical cumulative distribution functions (CDF) were fitted to all CDFemp and their goodness of fit (GoF) was evaluated

  • Based on the results presented in this study it is concluded that WK5 is a universal wind speed distribution for the study area

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Summary

Introduction

The world’s energy supply is facing multiple challenges. The depletion of conventional fuels is unavoidable [1,2], greenhouse gas emissions from the burning of fossil fuels most significantly contributes to global warming [3,4] and the emissions of air pollutants affect human health [3,5]. nuclear energy production enables the reduction of carbon dioxide (CO2 ) emissions [6], nuclear power plants bear great short- and long-term risk of accidents [7]. The world’s energy supply is facing multiple challenges. The depletion of conventional fuels is unavoidable [1,2], greenhouse gas emissions from the burning of fossil fuels most significantly contributes to global warming [3,4] and the emissions of air pollutants affect human health [3,5]. In order to reduce and avoid negative impacts of the current use of energy resources on the environment and human health, alternative forms of energy utilization must be found. Renewable energies provide a clean, environmentally friendly and health-compatible alternative to fossil energies and nuclear energy [2,5]. One major renewable energy resource is the kinetic energy contained in the atmosphere, commonly known as wind energy.

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