基于Rife-Vincent自乘-卷积窗三谱线插值的电力谐波参数估计  

Power harmonic parameter estimation based on three spectral line interpolation of self⁃multiplication⁃convolution Rife⁃Vincent window

作　　者：雷可君 李明皓 汪旭明 陈乾明 张志威 杨喜 LEI Kejun;LI Minghao;WANG Xuming;CHEN Qianming;ZHANG Zhiwei;YANG Xi(College of Information Science and Engineering,Jishou University,Jishou,Hunan 416000,China)

机构地区：[1]吉首大学信息科学与工程学院,湖南吉首416000

出　　处：《江苏大学学报（自然科学版）》2022年第5期547-553,561,共8页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(61861019,62161012);湖南省自然科学基金资助项目(2019JJ50483);国家级大学生创新训练项目(s202010531009,202110531029);吉首大学研究生科研创新项目(Jdy20019)。

摘　　要：利用经典的快速傅里叶变换方法对电力谐波参数进行估计时,其固有的栅栏效应,以及非整周期截断和非同步采样所造成的频谱泄漏会使估计结果产生误差.为提高谐波参数估计精度,结合自乘积窗和自卷积窗的优势,设计了一种基于Rife⁃Vincent窗的自乘-卷积窗,该窗具有很好的旁瓣衰减特性,能有效抑制频谱泄漏;在此基础上,基于三谱线插值及最小二乘拟合方法给出了谐波幅度、频率及相位的估计公式.在含弱幅值的复杂谐波、间谐波及基波频率波动的情况下进行仿真试验,结果表明,所提算法与经典的加窗算法相比具有更高的检测精度.When the classical fast Fourier transform method is used to estimate the power harmonic parameters,the fence effect and the spectrum leakage due to non integer period truncation and asynchronous sampling can cause estimation error.To improve the accuracy of harmonic parameter estimation,combined with the advantages of self⁃multiplication and self⁃convolution window,a self⁃multiplication⁃convolution window was designed based on Rife⁃Vincent window.With good sidelobe characteristics,the proposed window could effectively suppress spectrum leakage.The estimation formulas of harmonic amplitude,frequency and phase were obtained based on three spectral line interpolation and least square fitting.The simulation experiments were performed under the conditions of complex harmonics,interharmonics and fundamental frequency fluctuations with weak amplitudes.The results show that the proposed algorithm has higher detection accuracy than the classical windowed algorithm.

关 键 词：电力谐波分析 快速傅里叶变换 Rife⁃Vincent自乘-卷积窗 三谱线插值 最小二乘拟合 

分 类 号：TM935.1[电气工程—电力电子与电力传动]