A novel time-varying parameters structural adaptive Hausdorff fractional discrete grey model and its application in renewable energy production and consumption prediction

Yong Wang, Zejia Zhang, Yunhui Wang, Lang Sun, Rui Yang, Wenao He, Flavian Emmanuel Sapnken and Hong-Li Li

Energy, 2025, vol. 318, issue C

Abstract: The role of energy is essential in driving human development and achieving economic and social progress. It's crucial to make precise predictions about how traditional and new energy sources will be used in the future, as this information can help a country create effective energy strategies and make adjustments to its energy structure accordingly. Considering the common presence of volatility, nonlinearity and periodicity in long-term energy data series, this paper proposes a novel time-varying parameters adaptive discrete grey prediction model FHATDGM (1,1) based on Hausdorff fractional derivative. This model further explores the possible periodic features in the system, in order to more comprehensively and accurately describe the development trend of the time series. In addition, the Grey Wolf Optimization algorithm (GWO) is selected to optimize the parameters of the model. Then, for the robustness of the results obtained by introducing intelligent optimization algorithm, this paper uses the method of combining Monte Carlo simulation and probability density analysis to test, indicating that the proposed model has better stability and accuracy compared with the existing six models. Finally, three actual cases of China's solar power generation, United States hydroelectric power generation and China's consumption of coal are predicted. The results show that the FHATDGM (1,1) has the highest fitting and forecasting accuracy. The reduction in prediction error compared to the other six models ranged from 1.46 % to 37.49 %.

Keywords: Grey model; Grey wolf optimization algorithm; Hausdorff fractional derivative; Monte-carlo simulation; Renewable energy production and consumption (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0360544225005195
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:energy:v:318:y:2025:i:c:s0360544225005195

DOI: 10.1016/j.energy.2025.134877

Access Statistics for this article

Energy is currently edited by Henrik Lund and Mark J. Kaiser

More articles in Energy from Elsevier
Bibliographic data for series maintained by Catherine Liu ().