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基频非同步采样时,离散傅里叶变换/快速傅里叶变换(DFT/FFT)频谱会发生泄漏现象,谐波、间谐波频谱相互干扰而影响测量结果,传统的加窗插值方法忽略了其他分量对关注分量的长程泄漏影响。文中首先在IEC框架下对加Hanning窗的信号进行频谱变换,使其他分量的侧瓣上相邻谱线相位差为180°,利用相邻谱线的矢量和消除长程泄漏对关注分量的影响,从而提出了谐波、间谐波分组测量和精确测量方法,实现了谐波、间谐波具体参数的测量。在此基础上提出了邻近谐波、间谐波分离方法,并进一步通过逐次剔除已知分量在关注谱线上的频谱泄漏值来提高测量精度,当非同步采样且不增加采样数据长度时,有效解决了谐波、间谐波相隔很近时无法准确分离测量的难题。仿真和工程数据均验证了所提方法在IEC框架要求下测量的实时性和有效性。
Discrete Fourier transform/fast Fourier transform (DFT/FFT) spectrum leakage will occur during nonsynchronous sampling in fundamental frequency
with harmonics and inter-harmonics spectrum mutual interference affecting the measurement results
while the traditional interpolating windowed FFT method ignores the influence of long-range leakage from other components on the component of concern. Firstly
the spectrum of Hanning weighted signal in IEC framework is transformed
to change side lobes adjacent spectral phase difference to 180 degrees in other components. The vector sum of adjacent lines is used to eliminate the influence of long-range leakage on the component of concern
thereby proposing the group measurement method and accurate measurement method of harmonics and inter-harmonics. The measurement of harmonics and inter-harmonics specific parameters is realized. Based on this
the harmonics and inter-harmonics separating method is presented
and furthermore
by successive removal of the leakage value of known components on the spectral lines of the component of concern the measuring accuracy is improved. During nonsynchronous sampling without increasing the length of the sampling data
an effective solution to the harmonics and inter-harmonics inability to be accurately measured when closely spaced is found. Simulation and engineering data have validated real-time and effective characteristics of the proposed methods in the IEC framework.
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