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Article

Temporal Convolutional Network with Adaptive Diffusion Model for Generation–Load Probabilistic Forecasting

1
Shanxi Energy Internet Research Institute, Taiyuan 030000, China
2
College of Computer Science and Technology (College of Data Science), Taiyuan University of Technology, Taiyuan 030024, China
3
Key Laboratory of Data Governance and Intelligent Decision Making of Shanxi Province, Taiyuan 030024, China
4
Shanxi Key Laboratory of Integrated Energy System, Taiyuan 030000, China
5
College of Computer Science and Technology, Taiyuan Normal University, Jinzhong 030619, China
6
Department of Electronics and Communication Engineering, Shanxi Polytechnic College, Taiyuan 237016, China
*
Author to whom correspondence should be addressed.
Energies 2025, 18(23), 6179; https://doi.org/10.3390/en18236179
Submission received: 17 October 2025 / Revised: 17 November 2025 / Accepted: 24 November 2025 / Published: 25 November 2025

Abstract

Accurate generation–load forecasting is essential for the stability and efficiency of modern power systems. However, large-scale renewable integration and diverse user demand introduce strong nonlinearity and uncertainty, making probabilistic forecasting challenging. To address this, we propose a Temporal Convolutional Network with Adaptive Diffusion for generation–load probabilistic forecasting, called TCN-AD. TCN-AD employs a temporal convolutional encoder to capture long-term dependencies and local variations. In addition, an adaptive diffusion mechanism dynamically adjusts noise intensity to model time-varying uncertainty. Notably, a multi-scale fusion module and periodic attention mechanism further enhance the perception of multi-scale and cyclical patterns. Finally, a TCN-based denoising decoder refines the reverse diffusion process to reconstruct temporal dependencies effectively. Experiments on real-world load, solar, and wind datasets show that TCN-AD consistently outperforms baselines in both deterministic and probabilistic forecasting.
Keywords: generation–load forecasting; probabilistic prediction; diffusion model; temporal convolutional network; uncertainty quantification generation–load forecasting; probabilistic prediction; diffusion model; temporal convolutional network; uncertainty quantification

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MDPI and ACS Style

Li, D.; Wang, T.; Feng, D.; Zhou, Y.; Ji, F. Temporal Convolutional Network with Adaptive Diffusion Model for Generation–Load Probabilistic Forecasting. Energies 2025, 18, 6179. https://doi.org/10.3390/en18236179

AMA Style

Li D, Wang T, Feng D, Zhou Y, Ji F. Temporal Convolutional Network with Adaptive Diffusion Model for Generation–Load Probabilistic Forecasting. Energies. 2025; 18(23):6179. https://doi.org/10.3390/en18236179

Chicago/Turabian Style

Li, Dengao, Ting Wang, Ding Feng, Yu Zhou, and Feng Ji. 2025. "Temporal Convolutional Network with Adaptive Diffusion Model for Generation–Load Probabilistic Forecasting" Energies 18, no. 23: 6179. https://doi.org/10.3390/en18236179

APA Style

Li, D., Wang, T., Feng, D., Zhou, Y., & Ji, F. (2025). Temporal Convolutional Network with Adaptive Diffusion Model for Generation–Load Probabilistic Forecasting. Energies, 18(23), 6179. https://doi.org/10.3390/en18236179

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