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Multistep interval prediction model with adjustable horizon for uncertain power load forecasting

Author

Listed:
  • Guan, Shouping
  • Xu, Chongyang
  • Guan, Tianyi

Abstract

In order to use the prediction interval (PI) method to forecast multistep uncertain power load, this paper proposes a multistep interval prediction model (MIPM) using neural network-based PIs. An iterative lower and upper bounds estimation (ILUBE) neural network with interval input and interval output is constructed, and a new set of PI performance indices with adjustable prediction horizon for ILUBE is proposed to satisfy the needs of high-quality multistep PIs. A knee selection criteria-based multi-objective particle swarm optimization (KMOPSO) algorithm specifically designed for PI is presented to optimize the ILUEB parameters. The power load forecasting of two actual regions is taken as an example, and the proposed MIPM is applied to carry out multistep interval prediction, respectively. The prediction results and the effect of adjusting prediction horizon demonstrate that the proposed model can realize higher quality PIs, even in the situation of arbitrarily adjusting the prediction horizon.

Suggested Citation

  • Guan, Shouping & Xu, Chongyang & Guan, Tianyi, 2025. "Multistep interval prediction model with adjustable horizon for uncertain power load forecasting," Energy, Elsevier, vol. 335(C).
  • Handle: RePEc:eee:energy:v:335:y:2025:i:c:s0360544225034103
    DOI: 10.1016/j.energy.2025.137768
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    References listed on IDEAS

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    1. Li, Chaoshun & Tang, Geng & Xue, Xiaoming & Chen, Xinbiao & Wang, Ruoheng & Zhang, Chu, 2020. "The short-term interval prediction of wind power using the deep learning model with gradient descend optimization," Renewable Energy, Elsevier, vol. 155(C), pages 197-211.
    2. Fan, Jingmin & Zhong, Mingwei & Guan, Yuanpeng & Yi, Siqi & Xu, Cancheng & Zhai, Yanpeng & Zhou, Yongwang, 2024. "An online long-term load forecasting method: Hierarchical highway network based on crisscross feature collaboration," Energy, Elsevier, vol. 299(C).
    3. Nguyen, Hoang-Phuong & Baraldi, Piero & Zio, Enrico, 2021. "Ensemble empirical mode decomposition and long short-term memory neural network for multi-step predictions of time series signals in nuclear power plants," Applied Energy, Elsevier, vol. 283(C).
    4. Pan, Li & Politis, Dimitris N., 2016. "Bootstrap prediction intervals for Markov processes," Computational Statistics & Data Analysis, Elsevier, vol. 100(C), pages 467-494.
    5. Wang, Ying & Li, Hongmin & Jahanger, Atif & Li, Qiwei & Wang, Biao & Balsalobre-Lorente, Daniel, 2024. "A novel ensemble electricity load forecasting system based on a decomposition-selection-optimization strategy," Energy, Elsevier, vol. 312(C).
    6. Jiyang Wang & Yuyang Gao & Xuejun Chen, 2018. "A Novel Hybrid Interval Prediction Approach Based on Modified Lower Upper Bound Estimation in Combination with Multi-Objective Salp Swarm Algorithm for Short-Term Load Forecasting," Energies, MDPI, vol. 11(6), pages 1-30, June.
    7. Zhu, Jianhua & He, Yaoyao & Gao, Zhiwei, 2023. "Wind power interval and point prediction model using neural network based multi-objective optimization," Energy, Elsevier, vol. 283(C).
    8. Dai, Yeming & Yu, Weijie & Leng, Mingming, 2024. "A hybrid ensemble optimized BiGRU method for short-term photovoltaic generation forecasting," Energy, Elsevier, vol. 299(C).
    9. Shi, Jinhao & Wang, Bo & Luo, Kaiyi & Wu, Yifei & Zhou, Min & Watada, Junzo, 2023. "Ultra-short-term wind power interval prediction based on multi-task learning and generative critic networks," Energy, Elsevier, vol. 272(C).
    10. Quan, Hao & Srinivasan, Dipti & Khosravi, Abbas, 2014. "Uncertainty handling using neural network-based prediction intervals for electrical load forecasting," Energy, Elsevier, vol. 73(C), pages 916-925.
    11. Florian Ziel, 2015. "Forecasting Electricity Spot Prices using Lasso: On Capturing the Autoregressive Intraday Structure," Papers 1509.01966, arXiv.org, revised Jan 2016.
    12. Tsao, Hao-Han & Leu, Yih-Guang & Chou, Li-Fen, 2021. "A center-of-concentrated-based prediction interval for wind power forecasting," Energy, Elsevier, vol. 237(C).
    13. Niu, Dongxiao & Sun, Lijie & Yu, Min & Wang, Keke, 2022. "Point and interval forecasting of ultra-short-term wind power based on a data-driven method and hybrid deep learning model," Energy, Elsevier, vol. 254(PA).
    14. Singh, Priyanka & Dwivedi, Pragya & Kant, Vibhor, 2019. "A hybrid method based on neural network and improved environmental adaptation method using Controlled Gaussian Mutation with real parameter for short-term load forecasting," Energy, Elsevier, vol. 174(C), pages 460-477.
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