Identification of customer electricity usage anomalies based on random matrix theory

Shuo Zhou, Qihui Wang
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Abstract

A detection algorithm of maximum and minimum eigenvalues based on random matrix theory is proposed for the problem of abnormal detection of customer electricity consumption. Firstly, the data source matrix is constructed by time alignment and superimposed Gaussian white noise, and the sliding window method is used to obtain the window data indicating the operation status at each moment; secondly, the window data are standardized, feature extraction and other operations are performed, and the difference and the sum of the maximum and minimum eigenvalues are compared to construct the feature detection indexes and thresholds; finally, the algorithm is studied and verified by simulation. The results show that the algorithm does not depend on any model, can analyze the operation status of the system more comprehensively and adequately, and realizes the effective detection of abnormal data
基于随机矩阵理论识别用户用电异常情况
针对用户用电异常检测问题,提出了一种基于随机矩阵理论的最大最小特征值检测算法。首先,通过时间对齐和叠加高斯白噪声构建数据源矩阵,并利用滑动窗口法得到表示各时刻运行状态的窗口数据;其次,对窗口数据进行标准化处理,并进行特征提取等操作,比较最大特征值和最小特征值之差和,构建特征检测指标和阈值;最后,对算法进行仿真研究和验证。结果表明,该算法不依赖于任何模型,能更全面、更充分地分析系统的运行状况,实现对异常数据的有效检测。
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