Abstract

To meet the increasing wind power forecasting (WPF) demands of newly built wind farms without historical data, physical WPF methods are widely used. The computational fluid dynamics (CFD) pre-calculated flow fields (CPFF)-based WPF is a promising physical approach, which can balance well the competing demands of computational efficiency and accuracy. To enhance its adaptability for wind farms in complex terrain, a WPF method combining wind turbine clustering with CPFF is first proposed where the wind turbines in the wind farm are clustered and a forecasting is undertaken for each cluster. K-means, hierarchical agglomerative and spectral analysis methods are used to establish the wind turbine clustering models. The Silhouette Coefficient, Calinski-Harabaz index and within-between index are proposed as criteria to evaluate the effectiveness of the established clustering models. Based on different clustering methods and schemes, various clustering databases are built for clustering pre-calculated CFD (CPCC)-based short-term WPF. For the wind farm case studied, clustering evaluation criteria show that hierarchical agglomerative clustering has reasonable results, spectral clustering is better and K-means gives the best performance. The WPF results produced by different clustering databases also prove the effectiveness of the three evaluation criteria in turn. The newly developed CPCC model has a much higher WPF accuracy than the CPFF model without using clustering techniques, both on temporal and spatial scales. The research provides supports for both the development and improvement of short-term physical WPF systems.

Highlights

  • In the context of the worldwide energy crisis and the urgent need to decarbonize electricity generation, the development of renewable energy has become central to energy policy [1]

  • This paper has five sections: Section 1 describes relevant background material and outlines the general content of the paper; Section 2 describes the principles of three clustering algorithms to be investigated; Section 3 describes the modeling processes and the results of different clustering methods; Section 4 describes the wind power forecasting (WPF) based on clustering pre-calculated CFD (CPCC) model and analyzes the forecasting results; Section 5 presents the final conclusions

  • Where x is the distance along the axial coordinate direction, A is the swept area of wind rotor, CT is the thrust coefficient of wind turbine, c1 is the dimensionless mixing length, UWT is the average wind speed at wind turbine hub height, Rw is the wake radius

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Summary

Introduction

In the context of the worldwide energy crisis and the urgent need to decarbonize electricity generation, the development of renewable energy has become central to energy policy [1]. This work investigates for the first time the application of clustering methods to improve the accuracy of WPF based on the established approach of using CPFF. Through the rigorous effectiveness evaluation of the clustering models and the analysis of WPF results, a clustering pre-calculated CFD (CPCC) model for physical WPF is proposed This supports the establishment of an accurate and fast physical WPF model, and improves the accuracy of WPF results. This paper has five sections: Section 1 describes relevant background material and outlines the general content of the paper; Section 2 describes the principles of three clustering algorithms to be investigated; Section 3 describes the modeling processes and the results of different clustering methods; Section 4 describes the WPF based on CPCC model and analyzes the forecasting results; Section 5 presents the final conclusions

Wind Turbine Clustering Algorithms
K-Means Clustering
Hierarchical Agglomerative Clustering
Spectral Clustering
Wind Farm and Input Data Description
Criteria Used to Assess Clustering Effectiveness
Silhouette Coefficient
Calinski-Harabaz and within-between Indices
Wind Turbine Clustering Analysis
CFD Database of Flow Field Characteristics
WPF Model Based on Clustering CFD Database
Case Analysis for Clustering WPF Method
The Final Clustering Scheme for WPF
WPF Analysis for Optimal Clustering Scheme
Findings
Conclusions

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