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基于功率谱密度与Morlet小波融合的电力负荷超短期预测模型

Ultra-short-term forecasting model of power load based on fusion of power spectral density and Morlet wavelet.

作者信息

Liang Lihe, Cui Jinying, Zhao Juanjuan, Qiang Yan, Zhao Juanjuan

机构信息

College of Computer Science and Technology (College of Data Science), Taiyuan University of Technology, Taiyuan 030600, China.

School of Software, Taiyuan University of Technology, Taiyuan 030600, China.

出版信息

Math Biosci Eng. 2024 Feb 4;21(2):3391-3421. doi: 10.3934/mbe.2024150.

DOI:10.3934/mbe.2024150
PMID:38454733
Abstract

An accurate ultra-short-term time series prediction of a power load is an important guarantee for power dispatching and the safe operation of power systems. Problems of the current ultra-short-term time series prediction algorithms include low prediction accuracy, difficulty capturing the local mutation features, poor stability, and others. From the perspective of series decomposition, a multi-scale sequence decomposition model (TFDNet) based on power spectral density and the Morlet wavelet transform is proposed that combines the multidimensional correlation feature fusion strategy in the time and frequency domains. By introducing the time-frequency energy selection module, the "prior knowledge" guidance module, and the sequence denoising decomposition module, the model not only effectively delineates the global trend and local seasonal features, completes the in-depth information mining of the smooth trend and fluctuating seasonal features, but more importantly, realizes the accurate capture of the local mutation seasonal features. Finally, on the premise of improving the forecasting accuracy, single-point load forecasting and quantile probabilistic load forecasting for ultra-short-term load forecasting are realized. Through the experiments conducted on three public datasets and one private dataset, the TFDNet model reduces the mean square error (MSE) and mean absolute error (MAE) by 19.80 and 11.20% on average, respectively, as compared with the benchmark method. These results indicate the potential applications of the TFDNet model.

摘要

准确的电力负荷超短期时间序列预测是电力调度和电力系统安全运行的重要保障。当前超短期时间序列预测算法存在预测精度低、难以捕捉局部突变特征、稳定性差等问题。从序列分解的角度出发,提出了一种基于功率谱密度和Morlet小波变换的多尺度序列分解模型(TFDNet),该模型结合了时频域的多维相关特征融合策略。通过引入时频能量选择模块、“先验知识”引导模块和序列去噪分解模块,该模型不仅有效地刻画了全局趋势和局部季节性特征,完成了对平滑趋势和波动季节性特征的深度信息挖掘,更重要的是,实现了对局部突变季节性特征的准确捕捉。最后,在提高预测精度的前提下,实现了超短期负荷预测的单点负荷预测和分位数概率负荷预测。通过在三个公共数据集和一个私有数据集上进行的实验,与基准方法相比,TFDNet模型的均方误差(MSE)和平均绝对误差(MAE)平均分别降低了19.80%和11.20%。这些结果表明了TFDNet模型的潜在应用价值。

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