基于组合余弦窗加权的高精度电力谐波分析  

Analysis on High Precision Power Harmonic Based on Combinatorial Cosine Window Weighting Method

作　　者：陈砚圃 杨蕾 张介秋[2] CHEN Yanpu;YANG Lei;ZHANG Jieqiu(College of Information Engineering,Xijing University,Xi’an 710123,China;Department of Basic Sciences,Air Force Engineering University,Xi’an 710051,China)

机构地区：[1]西京学院信息工程学院,西安710123 [2]空军工程大学基础部,西安710051

出　　处：《高压电器》2021年第8期127-135,共9页High Voltage Apparatus

基　　金：国家自然科学基金项目(61971437)。

摘　　要：针对电力谐波加窗分析中的频谱泄漏和栅栏效应,利用电力信号在频域中的频谱只集中出现在谐波频点处的特点,以窗谱在主瓣中央和谐波频点的平坦性作为约束条件研究可同时有效抑制频谱泄漏和栅栏效应的加窗函数。提出了进行电力谐波分析时组合余弦窗须满足的基本条件。导出了窗谱的各阶导数,利用导数等于0作为主瓣中央和谐波频点的平坦性表示建立了组合余弦窗的参数方程组。对窗宽为整数个额定周期的新型窗函数的频谱进行了数值模拟,结果表明,新型窗函数在抑制频谱泄漏和抵抗栅栏效应方面性能优异,无需借助谱线插值即可实现高精度电力谐波分析。In view of the spectrum leakage and picket fence effect in windowing analysis of power harmonics,the windowing function of effectively suppressing spectrum leakage and picket fence effect simultaneously can be studied by using the feature that the spectrum of power signal in the frequency domain only concentrates on the harmonic frequency point and taking the flatness of the window spectrum in the center of main lobe and harmonic frequency points as the constraint.The basic condition which the combinatorial cosine window must meet,in case of power harmonic analysis,is proposed.The derivative of the window spectrum is derived.The parametric equation set of the combinatorial cosine window is set up by using the derivative,which is equal to 0,as the flatness representation of the main lobe center and the harmonic frequency points.The numerical simulation for new window function with window width as integer rated period is performed.The result shows that the new window function has excellent performance in the field of suppressing spectrum leakage and resisting picket fence effect and can achieve high-precision power harmonic analysis without spectral interpolation.

关 键 词：谐波分析 非同步采样 组合余弦窗 平坦约束 参数方程 

分 类 号：TM935[电气工程—电力电子与电力传动]