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PhysEmbedFormer: a physics-guided interpretable architecture for days-ahead forecasting of PV power
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  • Published: 29 January 2026

PhysEmbedFormer: a physics-guided interpretable architecture for days-ahead forecasting of PV power

  • Yue Yu1,
  • Pavel Loskot2 &
  • Yu Gao3 

Scientific Reports , Article number:  (2026) Cite this article

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We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Energy science and technology
  • Engineering
  • Mathematics and computing

Abstract

Days-ahead forecasting of photovoltaic (PV) power generation is crucial for pricing and balancing the renewable power grids. The traditional physics-based models offer trade-off interpretability with limited accuracy, whereas the attention-based data-driven models have high predictive accuracy, but limited interpretability. The accurate predictions of PV power are challenging due to stochastic, weather-dependent nature of solar radiation, which induces distribution shifts and non-stationary patterns in the time series data. This paper addresses some of these limitations by proposing a novel physics-guided architecture termed PhysEmbedFormer for forecasting the PV power data in the context of meteorological data. It offers improved interpretability, and forecasting robustness by accounting for the external weather-dependent factors. In particular, the input PV time series are first decomposed into the physics-estimated component and the residual component. The components are jointly embedded into a high-dimensional vector-space using the cross-modality module. The subsequent dual-stage Kolmogorov-Arnold Network (KAN) refinement module represent a learnable non-linear transformation to better match the sample distributions to simpler downstream forecasting models such as the previously proposed iTransformer. Extensive experiments on multiple PV datasets show that PhysEmbedFormer achieves consistently lower MAE, RMSE, and higher \(R^2\) than other competing architectures across different prediction horizons up to 72 hours. At the same time, PhysEmbedFormer experiences the second narrowest 95% confidence interval in its predictions, so it is also robust to sample distribution shifts due to changes in the present weather conditions.

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Data Availability

No new data were generated in the study. The DKASC, Alice Springs public datasets were used to produce the numerical results, https://dkasolarcentre.com.au/download?location=alice-springs.

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Funding

The research was funded by a research grant from Zhejiang University.

Author information

Authors and Affiliations

  1. College of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, 310058, China

    Yue Yu

  2. Zhejiang University - University of Illinois Urbana-Champaign Institute, Haining, 314400, China

    Pavel Loskot

  3. AI Research Center, Midea Group, Shanghai, 201103, China

    Yu Gao

Authors
  1. Yue Yu
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  2. Pavel Loskot
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  3. Yu Gao
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Contributions

Y.Y.: Writing - original draft, Conceptualization, Investigation, Formal analysis, Software, Methodology, Data curation. P.L.: Writing - review & editing, Conceptualization, Investigations, Project administration, Supervision. Y.G.: Resources, Project administration, Supervision. All authors reviewed the manuscript.

Corresponding author

Correspondence to Pavel Loskot.

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The authors declare no competing interests.

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Cite this article

Yu, Y., Loskot, P. & Gao, Y. PhysEmbedFormer: a physics-guided interpretable architecture for days-ahead forecasting of PV power. Sci Rep (2026). https://doi.org/10.1038/s41598-025-34874-8

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  • Received: 12 September 2025

  • Accepted: 31 December 2025

  • Published: 29 January 2026

  • DOI: https://doi.org/10.1038/s41598-025-34874-8

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Keywords

  • Data embedding
  • Forecasting
  • Kolmogorov-Arnold network
  • Photovoltaic power
  • Transformer
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