纳托尔自卷积窗加权电力谐波分析方法

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1、第35卷第8期电网技术Vol.35No.82011年8月PowerSystemTechnologyAug.2011文章编号：1000-3673（2011）08-0134-06中图分类号：TM714.1文献标志码：A学科代码：470·4051纳托尔自卷积窗加权电力谐波分析方法曾博，滕召胜（湖南大学电气与信息工程学院，湖南省长沙市410082）ANuttallSelf-ConvolutionWindow-BasedApproachtoWeightedAnalysisonPowerSystemHarmonicZENGBo,TENGZhaosheng(CollegeofEl

2、ectricalandInformationEngineering,HunanUniversity,Changsha410082,HunanProvince,China)ABSTRACT:Thesignalspectralleakageandfenceeffectare新型窗函数——Nuttall自卷积窗。分析了Nuttall自卷积窗pronetotakeplaceduringthepowerharmonicanalysisbyfast的主瓣、旁瓣性能，建立了Nuttall自卷积窗加权的改进FFTFouriertransform(FFT)undernon-synch

3、ronoussampling.谐波分析方法。与经典窗函数相比，Nuttall自卷积窗优良的Althoughthesignalspectralleakagecanbeeffectively旁瓣性能可有效抑制频谱泄漏的影响，改进FFT算法能有inhibitedbyweightedwindowfunction,howevertheinhibiting效克服卷积带来的频率分辨率降低的问题。仿真结果表明，abilityofclassicalwindowfunctionisrestrictedbytheNuttall自卷积窗抑制频谱泄漏效果好，改进FFT算法能对behavior

4、ofsidelobe.Basedontheanalysisonspectrum结果进行有效修正，谐波参数估计准确度优于经典窗函数。characteristicofNuttallwindow,anewtypeofwindow关键词：谐波分析；纳托尔(Nuttall)自卷积窗；旁瓣性能；function,namelytheNuttallself-convolutionwindow,is快速傅里叶变换obtainedbyseveralNuttallwindowself-convolutionoperations.Analyzingthebehaviorsofmainlob

5、eandsidelobeofNuttall0引言self-convolutionwindow,animprovedFFTharmonicanalysis随着智能电网建设的全面展开，越来越多的分methodadoptingweightedNuttallself-convolutionwindowis布式发电和储能设备并网运行，将对电网的电能质developed.TheexcellentsidelobeperformanceofNuttallself-convolutionwindowcaneffectivelysuppressthe量产生影响。谐波作为电能质量的一个重

6、要指标，influcenceofsignalspectralleakagethanclassicalwindow对其准确检测与分析能够为谐波双向潮流计算、谐functionandtheimprovedFFTalgorithmcaneffectively波电能计量、谐波抑制与补偿等提供科学依据[1-3]，remedythedefectinfrquencyresolutionreductionbrought对提高能源利用率、维护绿色电力环境、确保电网aboutbyconvolution.SimulationresultsshowthatNuttall运行安全具有重要意义

7、。self-convolutionwindowcanwellsuppressfrequencyspectral[4-6]与传统方法相比，快速傅里叶变换(fastleakage;theimprovedFFTalgorithmcaneffectivelymodifytheresults;andtheaccuracyofharmonicparameterestimationFouriertransform，FFT)更易于嵌入式系统实现，且bytheproposedmethodisbetterthanthatbyclassicalwindow计算效率更高，在电力谐波分析