电测与仪表
電測與儀錶
전측여의표
ELECTRICAL MEASUREMENT & INSTRUMENTATION
2014年
22期
76-81
,共6页
黄威威%蔡念%王晗%叶倩%凌永权
黃威威%蔡唸%王晗%葉倩%凌永權
황위위%채념%왕함%협천%릉영권
相位差%衍生半正弦窗%谐波分析%频谱泄露%栅栏效应
相位差%衍生半正絃窗%諧波分析%頻譜洩露%柵欄效應
상위차%연생반정현창%해파분석%빈보설로%책란효응
phase difference%variation semi-sinusoidal window%harmonic analysis%spectrum leakage%picket fence
利用快速傅里叶变换( FFT)进行谐波分析时,在非同步采样和非整数周期截断条件下存在频谱泄露和栅栏效应,影响谐波的分析精度。采用传统的窗函数对信号进行加权,虽然可以减小频谱泄露和栅栏效应的影响,但其效果受到窗函数旁瓣特性的制约。提出一种基于衍生半正弦窗的改进相位差电力谐波分析方法。该方法引入一种新的窗———衍生半正弦窗,对信号进行加权,然后采用改进相位差算法分析谐波参数———幅值、频率、相位。衍生半正弦窗可以通过调整指数获得满足要求的旁瓣特性,能较好的抑制频谱泄露,在工程应用中具有很大的灵活性。推导了信号基波及各次谐波频率、幅度、初相位的求解公式。仿真实验结果表明,提出的基于衍生半正弦窗的改进相位差算法具有较高的计算精度。
利用快速傅裏葉變換( FFT)進行諧波分析時,在非同步採樣和非整數週期截斷條件下存在頻譜洩露和柵欄效應,影響諧波的分析精度。採用傳統的窗函數對信號進行加權,雖然可以減小頻譜洩露和柵欄效應的影響,但其效果受到窗函數徬瓣特性的製約。提齣一種基于衍生半正絃窗的改進相位差電力諧波分析方法。該方法引入一種新的窗———衍生半正絃窗,對信號進行加權,然後採用改進相位差算法分析諧波參數———幅值、頻率、相位。衍生半正絃窗可以通過調整指數穫得滿足要求的徬瓣特性,能較好的抑製頻譜洩露,在工程應用中具有很大的靈活性。推導瞭信號基波及各次諧波頻率、幅度、初相位的求解公式。倣真實驗結果錶明,提齣的基于衍生半正絃窗的改進相位差算法具有較高的計算精度。
이용쾌속부리협변환( FFT)진행해파분석시,재비동보채양화비정수주기절단조건하존재빈보설로화책란효응,영향해파적분석정도。채용전통적창함수대신호진행가권,수연가이감소빈보설로화책란효응적영향,단기효과수도창함수방판특성적제약。제출일충기우연생반정현창적개진상위차전력해파분석방법。해방법인입일충신적창———연생반정현창,대신호진행가권,연후채용개진상위차산법분석해파삼수———폭치、빈솔、상위。연생반정현창가이통과조정지수획득만족요구적방판특성,능교호적억제빈보설로,재공정응용중구유흔대적령활성。추도료신호기파급각차해파빈솔、폭도、초상위적구해공식。방진실험결과표명,제출적기우연생반정현창적개진상위차산법구유교고적계산정도。
When Fast Fourier Transform( FFT)is adopted to realize harmonic analysis,there is a spectrum leakage problem and the occurrence of the picket fence effect in the harmonic analysis of power system under asynchronous sampling and non-integral period truncation conditions,which will affect the analytical precision of the harmonic. Although the signal weighted by traditional windows can suppress the spectrum leakages,the analysis result is restrict-ed by the sidelobe characteristics of these windows. An improved phase difference method based on variation semi-sinusoidal window for power harmonic analysis is proposed in this paper. A new variation semi-sinusoidal window is applied to weight the signal by this method. Then,the improved phase difference method is employed to calculate the parameters of the signal,such as frequency,amplitude and phase. The satisfying performance of the sidelobe of varia-tion semi-sinusoidal window can be obtained by adjusting the index value,which will suppress spectrum leakage and possess flexiblility in practical engineering. Moreover,the calculation formulae of the frequencies,amplitudes and ini-tial phases of fundamental and harmonics are deduced. The simulation results indicate that the proposed method can estimate harmonic parameters with high accuracy.