基于五项Ｒife－Vincent(I)窗的四谱线插值FFT谐波分析方法李振华，喻彩云，蒋伟辉，王兴桐，李振兴(三峡大学电气与新能源学院，湖北宜昌443002)摘要:目前，在电力谐波分析中快速傅里叶变换(FFT)应用得最为广泛，但是在非同步采样时，应用该变换容易产生频谱泄漏，出现栅栏效应。为减小非同步采样对FFT的影响，对旁瓣峰值电平小且下降速率快的五项Ｒife-Vin-cent(I)窗进行了分析，并将它应用于FFT算法中，提出了基于五项Ｒife-Vincent(I)窗的四谱线插值FFT谐波检测算法。经过多项式函数的拟合，得到了简单实用的四谱线插值修正公式，使计算过程更为简单。结果表明，与Hanning窗、Nuttall窗和四项Ｒife-Vincent(I)窗插值FFT相比，相同条件下，五项Ｒife-Vincent(I)窗具有更高的准确度，其幅值相对误差EAh≤6．524×10－5%，相位相对误差Eφh≤7．751×10－3%。关键词:谐波分析;非同步采样;快速傅里叶变换;Ｒife-Vincent(I)窗;四谱线插值DOI:10．19753/j．issn1001-1390．2023．04．011中图分类号:TM711文献标识码:A文章编号:1001-1390(2023)04-0078-07Quadruple－spectrum－lineinterpolationFFTharmonicanalysismethodbasedonfive－termＲife－Vincent(I)windowLiZhenhua，YuCaiyun，JiangWeihui，WangXingtong，LiZhenxing(CollegeofElectricalEngineering＆NewEnergy，ChinaThreeGorgesUniversity，Yichang443002，Hubei，China)Abstract:FastFouriertransform(FFT)isthemostwidelyusedmethodinpowerharmonicanalysisrecently．However，inthecaseofasynchronoussampling，itiseasytogeneratethespectrumleakageandthefenceeffect．InordertoreducetheinfluenceofasynchronoussamplingonFFT，thefive-termＲife-Vincent(I)windowwithlowside-lobepeaklevelandfastdescentrateareanalyzedandappliedtoFFTalgorithm，andquadruple-spectrum-lineinterpolationFFTharmonicde-tectionalgorithmbasedonfive-termＲife-Vincentwindowisproposedinthispaper．Basedonthepolynomialfunctionfit-ting，asimpleandpracticalinterpolationcorrectionformulaoffourspectrallinesisderived，whichmakesthecalculationprocesseasier．TheresultsshowthatcomparedwithHanningwindow，Nuttallwindowandfour-termＲife-Vincent(I)windowinterpolationFFT，five-termＲife-Vincent(I)windowhasthehigheraccuracyunderthesameconditions，anditsamplituderelativeerro...
