仪器仪表学报
儀器儀錶學報
의기의표학보
CHINESE JOURNAL OF SCIENTIFIC INSTRUMENT
2009年
11期
2354-2360
,共7页
温和%滕召胜%曾博%贺静丹%魏双双
溫和%滕召勝%曾博%賀靜丹%魏雙雙
온화%등소성%증박%하정단%위쌍쌍
谐波分析%相角估计%余弦组合窗%频谱泄漏%快速傅里叶变换
諧波分析%相角估計%餘絃組閤窗%頻譜洩漏%快速傅裏葉變換
해파분석%상각고계%여현조합창%빈보설루%쾌속부리협변환
harmonic analysis%phase estimation%cosine-class window%spectral leakage%FFT
采用快速傅里叶变换(FFT)进行电力系统谐波分析时,受频谱泄漏和栅栏效应的影响,相角估计误差往往较大.为减小这类误差,提出一种基于频谱泄漏对消的谐波相角高精度估计算法,结合余弦组合窗时域和频域特性,综合考虑长、短范围频谱泄漏的影响,推导了基于余弦组合窗的插值FFT谐波相角计算式.该算法首先运用基于余弦组合窗的插值FFT方法获得频率偏差估计值,然后采用离散频谱泄漏对消方法进行信号谐波相角估计,实现简单,准确度高.非同步采样情况下,采用典型余弦组合窗(Hanning、Blackman、Blackman-Harris、Rife-Vincent(I)、Nuttall等)进行信号谐波相角估计的仿真实验与应用验证了本文算法的准确性和有效性.
採用快速傅裏葉變換(FFT)進行電力繫統諧波分析時,受頻譜洩漏和柵欄效應的影響,相角估計誤差往往較大.為減小這類誤差,提齣一種基于頻譜洩漏對消的諧波相角高精度估計算法,結閤餘絃組閤窗時域和頻域特性,綜閤攷慮長、短範圍頻譜洩漏的影響,推導瞭基于餘絃組閤窗的插值FFT諧波相角計算式.該算法首先運用基于餘絃組閤窗的插值FFT方法穫得頻率偏差估計值,然後採用離散頻譜洩漏對消方法進行信號諧波相角估計,實現簡單,準確度高.非同步採樣情況下,採用典型餘絃組閤窗(Hanning、Blackman、Blackman-Harris、Rife-Vincent(I)、Nuttall等)進行信號諧波相角估計的倣真實驗與應用驗證瞭本文算法的準確性和有效性.
채용쾌속부리협변환(FFT)진행전력계통해파분석시,수빈보설루화책란효응적영향,상각고계오차왕왕교대.위감소저류오차,제출일충기우빈보설루대소적해파상각고정도고계산법,결합여현조합창시역화빈역특성,종합고필장、단범위빈보설루적영향,추도료기우여현조합창적삽치FFT해파상각계산식.해산법수선운용기우여현조합창적삽치FFT방법획득빈솔편차고계치,연후채용리산빈보설루대소방법진행신호해파상각고계,실현간단,준학도고.비동보채양정황하,채용전형여현조합창(Hanning、Blackman、Blackman-Harris、Rife-Vincent(I)、Nuttall등)진행신호해파상각고계적방진실험여응용험증료본문산법적준학성화유효성.
Due to spectral leakage and picket fence effect, the phase estimations are normally different from the real ones when using FFT method for power system harmonic measurement. In order to improve harmonic phase estimation accuracy, an algorithm based on spectral leakage compensation is presented. The expressions of phase estimations are derived considering the long-range and short-range spectral leakage based on the characteristics of the cosine-class windows. First, the displacement term of frequency is estimated by windowed interpolated FFT algorithm. Then the phase estimation is obtained by cancellation of spectral lines. Last, simulation and experimental results are presented, which show the effectiveness of the method in estimating phase with non-synchronous sampling using Hanning window, Blackman window, Blackman-Harris window, Rife-Vincent (I) window and Nuttall window.