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Article

Short-Term Probabilistic Prediction of Photovoltaic Power Based on Bidirectional Long Short-Term Memory with Temporal Convolutional Network

1
State Grid Anhui Electric Power Co., Ltd., Electric Power Research Institute, Hefei 230601, China
2
School of Electrical Engineering and Automation, Anhui University, Hefei 230601, China
*
Author to whom correspondence should be addressed.
Energies 2025, 18(20), 5373; https://doi.org/10.3390/en18205373 (registering DOI)
Submission received: 26 August 2025 / Revised: 1 October 2025 / Accepted: 10 October 2025 / Published: 12 October 2025
(This article belongs to the Special Issue Advanced Load Forecasting Technologies for Power Systems)

Abstract

To mitigate the impact of photovoltaic (PV) power generation uncertainty on power systems and accurately depict the PV output range, this paper proposes a quantile regression probabilistic prediction model (TCN-QRBiLSTM) integrating a Temporal Convolutional Network (TCN) and Bidirectional Long Short-Term Memory (BiLSTM). First, the historical dataset is divided into three weather scenarios (sunny, cloudy, and rainy) to generate training and test samples under the same weather conditions. Second, a TCN is used to extract local temporal features, and BiLSTM captures the bidirectional temporal dependencies between power and meteorological data. To address the non-differentiable issue of traditional interval prediction quantile loss functions, the Huber norm is introduced as an approximate replacement for the original loss function by constructing a differentiable improved Quantile Regression (QR) model to generate confidence intervals. Finally, Kernel Density Estimation (KDE) is integrated to output probability density prediction results. Taking a distributed PV power station in East China as the research object, using data from July to September 2022 (15 min resolution, 4128 samples), comparative verification with TCN-QRLSTM and QRBiLSTM models shows that under a 90% confidence level, the Prediction Interval Coverage Probability (PICP) of the proposed model under sunny/cloudy/rainy weather reaches 0.9901, 0.9553, 0.9674, respectively, which is 0.56–3.85% higher than that of comparative models; the Percentage Interval Normalized Average Width (PINAW) is 0.1432, 0.1364, 0.1246, respectively, which is 1.35–6.49% lower than that of comparative models; the comprehensive interval evaluation index (I) is the smallest; and the Bayesian Information Criterion (BIC) is the lowest under all three weather conditions. The results demonstrate that the model can effectively quantify and mitigate PV power generation uncertainty, verifying its reliability and superiority in short-term PV power probabilistic prediction, and it has practical significance for ensuring the safe and economical operation of power grids with high PV penetration.
Keywords: photovoltaic; probability prediction; TCN; quantile regression; BiLSTM photovoltaic; probability prediction; TCN; quantile regression; BiLSTM

Share and Cite

MDPI and ACS Style

Yuan, W.; Ding, J.; Zhang, L.; Ni, J.; Zhang, Q. Short-Term Probabilistic Prediction of Photovoltaic Power Based on Bidirectional Long Short-Term Memory with Temporal Convolutional Network. Energies 2025, 18, 5373. https://doi.org/10.3390/en18205373

AMA Style

Yuan W, Ding J, Zhang L, Ni J, Zhang Q. Short-Term Probabilistic Prediction of Photovoltaic Power Based on Bidirectional Long Short-Term Memory with Temporal Convolutional Network. Energies. 2025; 18(20):5373. https://doi.org/10.3390/en18205373

Chicago/Turabian Style

Yuan, Weibo, Jinjin Ding, Li Zhang, Jingyi Ni, and Qian Zhang. 2025. "Short-Term Probabilistic Prediction of Photovoltaic Power Based on Bidirectional Long Short-Term Memory with Temporal Convolutional Network" Energies 18, no. 20: 5373. https://doi.org/10.3390/en18205373

APA Style

Yuan, W., Ding, J., Zhang, L., Ni, J., & Zhang, Q. (2025). Short-Term Probabilistic Prediction of Photovoltaic Power Based on Bidirectional Long Short-Term Memory with Temporal Convolutional Network. Energies, 18(20), 5373. https://doi.org/10.3390/en18205373

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