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Time series forecasting based on multi-criteria optimization for model and filter selection applied to hydroelectric power plants

Author

Listed:
  • Muniz, Rafael Ninno
  • Stefenon, Stefano Frizzo
  • Buratto, William Gouvêa
  • Nied, Ademir
  • Cardoso, Rodolfo
  • Yamaguchi, Cristina Keiko
  • Yow, Kin-Choong

Abstract

Power generation management in water-resource-based power systems depends on reservoir levels at hydroelectric power plants. Considering the advances in machine learning, forecasting inflow variation using time series could be an alternative for improving power system management. Given that there are several forecasting models and filters that can be applied, choosing one can be a challenging task, requiring experience from the designer. To solve this, multi-criteria optimization for selecting the models using the tree-structured Parzen estimator approach is proposed in this paper. The study considers the inflow data from the Belo Monte dam in Brazil. The multi-layer Elman recurrent neural network (RNN), dilated RNN, long short-term memory (LSTM), temporal fusion transformer (TFT), temporal convolutional neural (TCN), deep non-parametric time series (DeepNPTS), neural basis expansion analysis for time series (N-BEATS), and neural hierarchical interpolation for time series (NHITS) models are considered. The Christiano-Fitzgerald, Hodrick–Prescott, season-trend decomposition using locally estimated scatterplot smoothing (STL), and multiple STL filters are used. The proposed method, based on hypertuned TFT with the Hodrick–Prescott filter, had a mean absolute percentage error (MAPE) of 0.02 and a symmetric MAPE of 1.99, being superior to all the compared structures.

Suggested Citation

  • Muniz, Rafael Ninno & Stefenon, Stefano Frizzo & Buratto, William Gouvêa & Nied, Ademir & Cardoso, Rodolfo & Yamaguchi, Cristina Keiko & Yow, Kin-Choong, 2025. "Time series forecasting based on multi-criteria optimization for model and filter selection applied to hydroelectric power plants," Energy, Elsevier, vol. 337(C).
  • Handle: RePEc:eee:energy:v:337:y:2025:i:c:s0360544225043300
    DOI: 10.1016/j.energy.2025.138688
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    as
    1. Diogo F. Costa Silva & Arlindo R. Galvão Filho & Rafael V. Carvalho & Filipe de Souza L. Ribeiro & Clarimar J. Coelho, 2021. "Water Flow Forecasting Based on River Tributaries Using Long Short-Term Memory Ensemble Model," Energies, MDPI, vol. 14(22), pages 1-12, November.
    2. Fugang LI & Guangwen MA & Shijun CHEN & Weibin HUANG, 2021. "An Ensemble Modeling Approach to Forecast Daily Reservoir Inflow Using Bidirectional Long- and Short-Term Memory (Bi-LSTM), Variational Mode Decomposition (VMD), and Energy Entropy Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(9), pages 2941-2963, July.
    3. Zhang, Chu & Qiao, Xiujie & Zhang, Zhao & Wang, Yuhan & Fu, Yongyan & Nazir, Muhammad Shahzad & Peng, Tian, 2024. "Simultaneous forecasting of wind speed for multiple stations based on attribute-augmented spatiotemporal graph convolutional network and tree-structured parzen estimator," Energy, Elsevier, vol. 295(C).
    4. Xu, Li & Ou, Yanxia & Cai, Jingjing & Wang, Jin & Fu, Yang & Bian, Xiaoyan, 2023. "Offshore wind speed assessment with statistical and attention-based neural network methods based on STL decomposition," Renewable Energy, Elsevier, vol. 216(C).
    5. Marius-Ionuț Gordan & Cosmin Alin Popescu & Jenica Călina & Tabita Cornelia Adamov & Camelia Maria Mănescu & Tiberiu Iancu, 2024. "Spatial Analysis of Seasonal and Trend Patterns in Romanian Agritourism Arrivals Using Seasonal-Trend Decomposition Using LOESS," Agriculture, MDPI, vol. 14(2), pages 1-24, January.
    6. S. Khorram & N. Jehbez, 2023. "A Hybrid CNN-LSTM Approach for Monthly Reservoir Inflow Forecasting," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(10), pages 4097-4121, August.
    7. Shu, Xingsheng & Ding, Wei & Peng, Yong & Wang, Ziru, 2024. "Value of long-term inflow forecast for hydropower operation: A case study in a low forecast precision region," Energy, Elsevier, vol. 298(C).
    8. Stefenon, Stefano Frizzo & Seman, Laio Oriel & Aquino, Luiza Scapinello & Coelho, Leandro dos Santos, 2023. "Wavelet-Seq2Seq-LSTM with attention for time series forecasting of level of dams in hydroelectric power plants," Energy, Elsevier, vol. 274(C).
    9. Yao, Haowei & Qu, Pengyu & Qin, Hengjie & Lou, Zhen & Wei, Xiaoge & Song, Huaitao, 2024. "Multidimensional electric power parameter time series forecasting and anomaly fluctuation analysis based on the AFFC-GLDA-RL method," Energy, Elsevier, vol. 313(C).
    10. Li, Zehang & Alonso Fernández, Andrés Modesto & Elías, Antonio & Morales, Juan M., 2024. "Clustering and forecasting of day-ahead electricity supply curves using a market-based distance," DES - Working Papers. Statistics and Econometrics. WS 43805, Universidad Carlos III de Madrid. Departamento de Estadística.
    11. Ahmad, Shahryar Khalique & Hossain, Faisal, 2020. "Maximizing energy production from hydropower dams using short-term weather forecasts," Renewable Energy, Elsevier, vol. 146(C), pages 1560-1577.
    12. Wei Xu & Xiaoli Zhang & Anbang Peng & Yue Liang, 2020. "Deep Reinforcement Learning for Cascaded Hydropower Reservoirs Considering Inflow Forecasts," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(9), pages 3003-3018, July.
    13. Xiaoli Zhang & Yong Peng & Wei Xu & Bende Wang, 2019. "An Optimal Operation Model for Hydropower Stations Considering Inflow Forecasts with Different Lead-Times," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(1), pages 173-188, January.
    14. Niu, Zhewen & Han, Xiaoqing & Zhang, Dongxia & Wu, Yuxiang & Lan, Songyan, 2024. "Interpretable wind power forecasting combining seasonal-trend representations learning with temporal fusion transformers architecture," Energy, Elsevier, vol. 306(C).
    15. André Quites Ordovás Santos & Adriel Rodrigues da Silva & Jorge Javier Gimenez Ledesma & Adriano Batista de Almeida & Marco Roberto Cavallari & Oswaldo Hideo Ando Junior, 2021. "Electricity Market in Brazil: A Critical Review on the Ongoing Reform," Energies, MDPI, vol. 14(10), pages 1-23, May.
    16. Oreshkin, Boris N. & Dudek, Grzegorz & Pełka, Paweł & Turkina, Ekaterina, 2021. "N-BEATS neural network for mid-term electricity load forecasting," Applied Energy, Elsevier, vol. 293(C).
    17. Hewamalage, Hansika & Bergmeir, Christoph & Bandara, Kasun, 2021. "Recurrent Neural Networks for Time Series Forecasting: Current status and future directions," International Journal of Forecasting, Elsevier, vol. 37(1), pages 388-427.
    18. Lawrence J. Christiano & Terry J. Fitzgerald, 2003. "The Band Pass Filter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 435-465, May.
    19. Trull, Oscar & García-Díaz, J. Carlos & Peiró-Signes, A., 2022. "Multiple seasonal STL decomposition with discrete-interval moving seasonalities," Applied Mathematics and Computation, Elsevier, vol. 433(C).
    20. Sarmad Dashti Latif & Ali Najah Ahmed, 2024. "Ensuring a generalizable machine learning model for forecasting reservoir inflow in Kurdistan region of Iraq and Australia," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 26(5), pages 12513-12544, May.
    21. Lim, Bryan & Arık, Sercan Ö. & Loeff, Nicolas & Pfister, Tomas, 2021. "Temporal Fusion Transformers for interpretable multi-horizon time series forecasting," International Journal of Forecasting, Elsevier, vol. 37(4), pages 1748-1764.
    22. Wu, Binrong & Wang, Lin & Zeng, Yu-Rong, 2022. "Interpretable wind speed prediction with multivariate time series and temporal fusion transformers," Energy, Elsevier, vol. 252(C).
    23. Yutao Qi & Zhanao Zhou & Lingling Yang & Yining Quan & Qiguang Miao, 2019. "A Decomposition-Ensemble Learning Model Based on LSTM Neural Network for Daily Reservoir Inflow Forecasting," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(12), pages 4123-4139, September.
    24. Cheng, Wei & Wang, Yan & Peng, Zheng & Ren, Xiaodong & Shuai, Yubei & Zang, Shengyin & Liu, Hao & Cheng, Hao & Wu, Jiagui, 2021. "High-efficiency chaotic time series prediction based on time convolution neural network," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    25. Wu, Binrong & Wang, Lin, 2024. "Two-stage decomposition and temporal fusion transformers for interpretable wind speed forecasting," Energy, Elsevier, vol. 288(C).
    26. Stefenon, Stefano Frizzo & Seman, Laio Oriel & da Silva, Evandro Cardozo & Finardi, Erlon Cristian & Coelho, Leandro dos Santos & Mariani, Viviana Cocco, 2024. "Hypertuned wavelet convolutional neural network with long short-term memory for time series forecasting in hydroelectric power plants," Energy, Elsevier, vol. 313(C).
    27. Yueqiu Wu & Liping Wang & Yi Wang & Yanke Zhang & Jiajie Wu & Qiumei Ma & Xiaoqing Liang & Bin He, 2021. "Risk Analysis for Short-Term Operation of the Power Generation in Cascade Reservoirs Considering Multivariate Reservoir Inflow Forecast Errors," Sustainability, MDPI, vol. 13(7), pages 1-16, March.
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