Abstract
We focus on deep learning algorithms, improving upon the weather research and forecasting (WRF) model, and we show that the combination of these methods produces day-ahead wind speed predictions of high accuracy, with no need for previous-day measurements. We also show that previous-day data offer a significant enhancement in a short-term neural network for hour-ahead predictions, assuming that they are available on a daily basis. Our main contribution is the design and testing of original neural networks that capture both spatial and temporal characteristics of the wind, by combining convolutional (CNN) as well as recurrent (RNN) neural networks. The input predictions are obtained by a WRF model that we appropriately parameterize; we also specify a grid adapted to each park so as to capture its topography. Training uses historical data from five wind farms in Greece, and the 5-month testing period includes winter months, which exhibit the highest wind speed values. Our models improve WRF accuracy on average by 19.4%, and the improvement occurs in every month; expectedly, the improvement is lowest for the park where WRF performs best. Our neural network is competitive to state-of-the-art models, achieving an average MAE of 1.75 m/s. Accuracy improves for speed values up to 20 m/s, which are important in wind energy prediction. We also develop an RNN model and show that MAE reduces to less than 1 m/s for short-term predictions if actual data is employed.
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The largest company in the sector, with presence in USA and Southeastern Europe.
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Acknowledgements
Research partially funded by project “PeGASUS: Approximate geometric algorithms and clustering with applications in finance” (MIS 5047662) under call “Support for researchers with emphasis on young researchers: cycle B” (EDBM103), co-financed by Greece and the EU (European Social Fund) under the operational program Human Resources Development, Education & Lifelong Learning 2014-20. We thank Meteorologica P.C. for offering hardware infrastructure and guidance on meteorological aspects.
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Appendices
Appendix 1: WRF information and grid construction
This section provides the meteorological variables predicted by WRF, the coordinates of the WRF rectangle per park, and pseudocode for computing these rectangles (see Tables 4, 5).
Let us present the construction of a rectangular grid per park, to include its turbines and an appropriate number of WRF points (Algorithm 1, Appendix): one procedure (findparkborders) specifies a minimum axis-aligned rectangle, namely parkBox, enclosing all park turbines. We define an outer rectangle, called WRFbox, to include parkBox, and parameterized by STEP, the margin in longitude and latitude around parkBox. The larger STEP is, the more comprehensive is the model but also the higher is the complexity; more importantly, if WRFbox is too large, it may include irrelevant geographical elements like the outer slope of a nearby hill. Another procedure (collectwrfgridpoints) collects the WRF points forming WRFbox. In the park shown in Fig. 9 there are three extremal out of 12 turbines, and 35 WRF grid points in WRFbox. Each of its edges is defined by moving away from the corresponding edge of parkBox by \(STEP = 0.04^{\circ }\). For the other parks, we experimentally set \(STEP = 0.04\) or \(STEP = 0.035\) hence including 2 or 3 rows and columns of WRF grid points beyond parkBox.
Appendix 2: Statistical results
This section provides further statistical results of our predictions (see Fig. 10; Tables 6, 7).
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Christoforou, E., Emiris, I.Z., Florakis, A. et al. Spatio-temporal deep learning for day-ahead wind speed forecasting relying on WRF predictions. Energy Syst 14, 473–493 (2023). https://doi.org/10.1007/s12667-021-00480-6
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DOI: https://doi.org/10.1007/s12667-021-00480-6