李慧滢, 李克用. 基于离散小波变换和模糊K均值聚类的台户关系识别方法[J]. 电力学报, 2022, 37(5): 430-440. DOI: 10.13357/j.dlxb.2022.051
引用本文: 李慧滢, 李克用. 基于离散小波变换和模糊K均值聚类的台户关系识别方法[J]. 电力学报, 2022, 37(5): 430-440. DOI: 10.13357/j.dlxb.2022.051
LI Hui-ying, LI Ke-yong. Recognition Method of the Relationship Between Courts and Users Based on Discrete Wavelet Transform and Fuzzy K-means Clustering[J]. Journal of Electric Power, 2022, 37(5): 430-440. DOI: 10.13357/j.dlxb.2022.051
Citation: LI Hui-ying, LI Ke-yong. Recognition Method of the Relationship Between Courts and Users Based on Discrete Wavelet Transform and Fuzzy K-means Clustering[J]. Journal of Electric Power, 2022, 37(5): 430-440. DOI: 10.13357/j.dlxb.2022.051

基于离散小波变换和模糊K均值聚类的台户关系识别方法

Recognition Method of the Relationship Between Courts and Users Based on Discrete Wavelet Transform and Fuzzy K-means Clustering

  • 摘要: 提出了一种基于离散小波变换(Discrete Wavelet Transformation,DWT)和模糊K均值聚类的台户关系识别方法,旨在解决当前台户关系难以快速准确识别的问题。首先利用离散小波变换对各用户的日电压曲线进行降维,得到近似曲线集和细节曲线集,并利用标准化和平移方法对前者进行预处理;接着,基于曲线相似度构建了隶属度函数,据此利用模糊K均值聚类的方法对两个曲线集进行聚类,并利用聚类结果以及所提出的综合识别方法进行台户关系识别。利用离散小波变换所得到的近似曲线和细节曲线,在高维曲线降维后仍可保留较多的原始曲线信息;标准化和平移处理使得曲线间的距离计算完全取决于曲线形状差异,不受幅值影响;引入隶属度函数增大了曲线形状相似度对识别结果的影响,大幅提高了曲线聚类的正确率。仿真算例表明,该方法可有效实现曲线降维,提高曲线聚类的正确率,且该方法在曲线聚类等方面具有较强的适用性。

     

    Abstract: A recognition method based on discrete wavelet transformation(DWT)and fuzzy K-means clustering is proposed to solve the problem that it is difficult to recognize the relationship between courts and users quickly and accurately. Firstly,the dimension of the daily voltage curve of each user is reduced by DWT,and the approximate curve set and the detailed curve set are obtained. The standardized and parallel translation methods are used to pretreat the approximate curve set. Then,the membership function is constructed based on the curve similarity,and the fuzzy K-means clustering method is used to cluster the two curve sets,and the clustering result and the comprehensive recognition method proposed are used to recognize the relationship between courts and users. The approximate curve and detail curve obtained by the discrete wavelet transform can retain more original curve information after the high-dimensional curve is reduced;The standardized and translation process makes the distance calculation between the curves completely dependent on the difference in curve shape and is not affected by the amplitude. The introduction of the membership function increases the influence of curve shape similarity on the recognition result,and greatly improves the correct rate of curve clustering. The simulation results show that the proposed method can effectively reduce the dimension of curves and improve the accuracy of curve clustering,and this method has strong applicability in curve clustering and so on.

     

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