基于Hanning自卷积窗和三谱线插值的 谐波无功功率测量方法

本文提出一种基于Hanning自卷积窗和三谱线插值的谐波无功功率测量方法。根据Budeanu关于无功功率的定义,直接计算无功。计算所需要的谐波频率、幅值和相位则通过采用基于Hanning自卷积窗和三谱线插值的算法得到。Hanning自卷积窗可以有效抑制信号的频谱泄漏。三谱线插值利用幅值最大的谱线及其相邻2根谱线能够确定谱线的准确位置,进而得到谐波的频率、幅值和相角。相对于采用重构的方法,直接计算无功功率的方法要简单。在Matlab平台上的仿真表明,基波频率波动的情况下,本文所提方法得出的结果比基于双谱线插值算法得出的结果具有更高的准确度。

A method of harmonic reactive power measurement based on Hanning self-convolution window and triple-spectrum-line interpolation

This paper presents a novel method of harmonic reactive power measurement based on Hanning self-convo-lution window and triple-spectrum-line interpolation. The reactive power is calculated directly according to the defini-tion of reactive power by Budeanu. The frequency, amplitude and phase of harmonics demanded by the calculation are obtained from Hanning self-convolution window and triple-spectrum-line interpolation algorithm. The Hanning self-convolution window has superior performance of suppress spectrum leakages. Meanwhile, the maximum amplitude of the spectrum and its neighboring two lines are utilized to determine the exact location of spectral lines as we need. Thus the harmonic frequency, amplitude and phase could be obtained. Direct calculation of reactive power is simpler and more efficient than the use of reconstruction method. The simulations in MATLAB have verified that the method has a better precision than the double-spectrum-line interpolation method when using the same window and the recon-struction method.