Clustering of Wind Speed Time Series as a Tool for Wind Farm Diagnosis

Author:

Martins Ana Alexandra12ORCID,Vaz Daniel C.34,Silva Tiago A. N.134ORCID,Cardoso Margarida5,Carvalho Alda167ORCID

Affiliation:

1. Centro de Investigação em Modelação e Otimização de Sistemas Multifuncionais, ISEL/IPL, 1959-007 Lisboa, Portugal

2. Centro de Investigação em Matemática e Aplicações, ISEL/IPL, 7000-671 Évora, Portugal

3. UNIDEMI, Department of Mechanical and Industrial Engineering, NOVA School of Science and Technology, Universidade NOVA de Lisboa, 1099-085 Lisbon, Portugal

4. Laboratório Associado de Sistemas Inteligentes, 4800-058 Guimarães, Portugal

5. Business Research Unit, ISCTE-IUL, University Institute of Lisbon, 1649-026 Lisboa, Portugal

6. Departamento de Ciências e Tecnologia, Universidade Aberta, 1250-100 Lisboa, Portugal

7. CEMAPRE/ISEG Research, University of Lisbon, 1269-001 Lisboa, Portugal

Abstract

In several industrial fields, environmental and operational data are acquired with numerous purposes, potentially generating a huge quantity of data containing valuable information for management actions. This work proposes a methodology for clustering time series based on the K-medoids algorithm using a convex combination of different time series correlation metrics, the COMB distance. The multidimensional scaling procedure is used to enhance the visualization of the clustering results, and a matrix plot display is proposed as an efficient visualization tool to interpret the COMB distance components. This is a general-purpose methodology that is intended to ease time series interpretation; however, due to the relevance of the field, this study explores the clustering of time series judiciously collected from data of a wind farm located on a complex terrain. Using the COMB distance for wind speed time bands, clustering exposes operational similarities and dissimilarities among neighboring turbines which are influenced by the turbines’ relative positions and terrain features and regarding the direction of oncoming wind. In a significant number of cases, clustering does not coincide with the natural geographic grouping of the turbines. A novel representation of the contributing distances—the COMB distance matrix plot—provides a quick way to compare pairs of time bands (turbines) regarding various features.

Funder

Fundação para a Ciência e a Tecnologia

FCT/MCTES

Publisher

MDPI AG

Reference17 articles.

1. IEA (2022). Wind Electricity, IEA. Available online: https://www.iea.org/reports/wind-electricity.

2. Wind Europe (2024, February 15). Repowering Europe’s Wind Farms Is a Win-Win-Win. Available online: https://windeurope.org/newsroom/press-releases/repowering-europes-wind-farms-is-a-win-win-win/.

3. Casaca, C., Vaz, D., Silva, T.A.N., and Carvalho, A. (2019, January 11–12). An analysis of wind farm data to evidence local wind pattern switches near a plateau. Proceedings of the 4th International Conference on Numerical and Symbolic Computation: Developments and Applications, Porto, Portugal.

4. Bispo, R., Henriques-Rodrigues, L., Alpizar-Jara, R., and de Carvalho, M. (2022). Recent Developments in Statistics and Data Science, Springer. SPE 2021, Springer Proceedings in Mathematics & Statistics.

5. Time-series clustering. A decade review;Aghabozorgi;Inf. Syst.,2015

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