Tensor Completion of Missing Electricity Data in Transformer District Based on CP Decomposition and Nuclear Norm Regularization
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Affiliation:

1.School of Electrical Engineering,Chongqing University;2.Measurement Center of Yunnan Power Grid Co.

Clc Number:

U469.72

Fund Project:

This work wassupported by the State GridCorporation of China(5500-202427168A-1-1-ZN)

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    Abstract:

    In response to the issue of data quality loss in the actual collection, transmission, and storage of massive electricity data, this paper proposes a method for reconstructing electricity data based on CP decomposition and kernel norm regularization joint constraints, utilizing the temporal and spatial correlations of large-scale substation user electricity data. Firstly, a tensor of electricity consumption data for the substation area is constructed based on some potential similar characteristics of the electricity consumption behavior of large-scale substation users; Secondly, the F-norm and kernel norm are selected to regularize Gaussian noise and ideal complete electricity data, respectively, to establish tensor recovery models; Finally, the matrix factors obtained from CP decomposition are alternately updated column by column until convergence, thereby achieving high-precision completion of missing data. The effectiveness and accuracy of the algorithm were verified through simulation analysis and comparative experiments.

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History
  • Received:November 07,2024
  • Revised:February 20,2025
  • Adopted:February 25,2025
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