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Adapted symbolic dynamic networks for multi-step forecasting of chaotic wind speed time series

Author

Listed:
  • Reshmi, L.B.
  • Valsaraj, P.
  • Asokan, K.
  • Ramamohan, T.R.
  • Kumar, K. Satheesh

Abstract

Accurate short-term wind speed forecasting is crucial for efficient wind power generation and distribution. However, many existing prediction models often falter due to the inherently nonlinear and chaotic nature of wind dynamics, apart from being computationally intensive. This paper presents a multi-step wind speed forecasting method based on a complex network constructed from wind speed time series. The proposed framework builds upon a recently developed complex network-based approach with two key modifications specifically suitable for wind dynamics. We introduce an adaptive time series discretisation using k-centroid clustering, replacing the original uniform binning strategy, and a pattern matching scheme via Levenshtein string similarity instead of the Euclidean distance-based matching approach. These refinements adapt to the heavy-tailed distribution of wind speeds and offer a computationally efficient and robust approach to pattern matching that enhances prediction accuracy. Applied to wind speed data from multiple locations, our model outperforms conventional nonlinear and machine learning methods in terms of several error metrics. The model also exhibits strong spatial generalisability, delivering reasonably accurate predictions across 40 nearby locations, chosen for their attractor similarity, using a model built on data from a single reference site. This work presents one of the first successful demonstrations of a complex network-based multi-step forecasting method applied to real-world wind speed prediction.

Suggested Citation

  • Reshmi, L.B. & Valsaraj, P. & Asokan, K. & Ramamohan, T.R. & Kumar, K. Satheesh, 2026. "Adapted symbolic dynamic networks for multi-step forecasting of chaotic wind speed time series," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
  • Handle: RePEc:eee:chsofr:v:203:y:2026:i:c:s0960077925016236
    DOI: 10.1016/j.chaos.2025.117610
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    References listed on IDEAS

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    1. Yan, Bowen & Shen, Ruifang & Li, Ke & Wang, Zhenguo & Yang, Qingshan & Zhou, Xuhong & Zhang, Le, 2023. "Spatio-temporal correlation for simultaneous ultra-short-term wind speed prediction at multiple locations," Energy, Elsevier, vol. 284(C).
    2. Andriana S L O Campanharo & M Irmak Sirer & R Dean Malmgren & Fernando M Ramos & Luís A Nunes Amaral, 2011. "Duality between Time Series and Networks," PLOS ONE, Public Library of Science, vol. 6(8), pages 1-13, August.
    3. Manuel Sebastian Mariani & Zhuo-Ming Ren & Jordi Bascompte & Claudio Juan Tessone, 2019. "Nestedness in complex networks: Observation, emergence, and implications," Papers 1905.07593, arXiv.org.
    4. Lv, Sheng-Xiang & Wang, Lin, 2023. "Multivariate wind speed forecasting based on multi-objective feature selection approach and hybrid deep learning model," Energy, Elsevier, vol. 263(PE).
    5. Liu, Xingdou & Zhang, Li & Wang, Jiangong & Zhou, Yue & Gan, Wei, 2023. "A unified multi-step wind speed forecasting framework based on numerical weather prediction grids and wind farm monitoring data," Renewable Energy, Elsevier, vol. 211(C), pages 948-963.
    6. Shahram Hanifi & Xiaolei Liu & Zi Lin & Saeid Lotfian, 2020. "A Critical Review of Wind Power Forecasting Methods—Past, Present and Future," Energies, MDPI, vol. 13(15), pages 1-24, July.
    7. Yang, Yue & Yang, Huijie, 2008. "Complex network-based time series analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1381-1386.
    8. Zhao, Xiaojun & Zhang, Pengyuan, 2020. "Multiscale horizontal visibility entropy: Measuring the temporal complexity of financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    9. Zongxu Liu & Hui Guo & Yingshuai Zhang & Zongliang Zuo, 2025. "A Comprehensive Review of Wind Power Prediction Based on Machine Learning: Models, Applications, and Challenges," Energies, MDPI, vol. 18(2), pages 1-17, January.
    10. Costa, Alexandre & Crespo, Antonio & Navarro, Jorge & Lizcano, Gil & Madsen, Henrik & Feitosa, Everaldo, 2008. "A review on the young history of the wind power short-term prediction," Renewable and Sustainable Energy Reviews, Elsevier, vol. 12(6), pages 1725-1744, August.
    11. Drisya, G.V. & Asokan, K. & Kumar, K. Satheesh, 2018. "Diverse dynamical characteristics across the frequency spectrum of wind speed fluctuations," Renewable Energy, Elsevier, vol. 119(C), pages 540-550.
    12. Jiang, Ping & Liu, Zhenkun & Niu, Xinsong & Zhang, Lifang, 2021. "A combined forecasting system based on statistical method, artificial neural networks, and deep learning methods for short-term wind speed forecasting," Energy, Elsevier, vol. 217(C).
    13. Rong Zhang & Baabak Ashuri & Yong Deng, 2017. "A novel method for forecasting time series based on fuzzy logic and visibility graph," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 11(4), pages 759-783, December.
    14. Wu, Binrong & Wang, Lin, 2024. "Two-stage decomposition and temporal fusion transformers for interpretable wind speed forecasting," Energy, Elsevier, vol. 288(C).
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