基于Nuttall窗-五点变换的改进FFT介质损耗角测量算法

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摘要采用快速傅里叶变换（FFT）进行介质损耗角测量时,由于频谱泄漏效应会使得测量结果出现误差。在分析FFT算法频谱泄漏效应原因基础上,提出基于Nuttall窗-五点变换的高精度FFT算法,并将其应用于容性设备介质损耗角的测量之中。Nuttall窗具有较好的旁瓣衰减特性,对FFT输出序列进行加权变换则能够加快旁瓣频谱的衰减速度,因此本文算法先对被测信号加Nuttall窗,然后对FFT输出序列进行加权变换,可有效提高介质损耗角FFT算法测量的精度,从而达到减小频谱泄漏效应的目的。同时,还研究了基波频率、谐波含量、采样点数、随机噪声以及直流分量等参数对测试结果的影响。仿真和试验表明,所提方法具有较好的精度和可靠度。

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	金涛
	陈毅阳
	游胜强

关键词 ： Nuttall窗, 频谱泄露, 五点变换, 介质损耗角, 旁瓣衰减

Abstract：The spectral leakage has great influence on the performance of dielectric loss angle measurement when using fast Fourier transform (FFT) algorithm. Based on the analysis of the spectrum leakage effect of FFT algorithm, an improved FFT method combined Nuttall window with five-point polynomial transform to detect dielectric loss angle was presented in this paper. Since Nuttall window has a good attenuation characteristic of side lobe, and five-point polynomial transform can speed up the attenuation of side lobe spectrum, the proposed method firstly applied Nuttall window to truncate the measurement signal, then used FFT weighted polynomial transformation so as to reduce the output sequence spectrum leakage effect and improve the analysis accuracy. Through simulations and experiments, the proposed Nuttall window and five-point polynomial transform interpolated FFT algorithm is proven to be accurate and reliable. The impact factors of dielectric loss angle measurement including fundamental frequency fluctuation, number of sampling points, random noise, harmonic component, and direct current component are also analyzed in detail in this paper.

Key words： Nuttall window spectrum leakage five-point polynomial transform dielectric loss angle sidelobe attenuation

收稿日期: 2015-08-26 出版日期: 2016-08-18

PACS:

TM835.4

作者简介: 金涛男,1976年生,博士,研究员,博士生导师,研究方向为在线测量理论与方法、电力系统广域监测和智能电网等。E-mail: jintly@fzu.edu.cn（通信作者）;陈毅阳男,1991年生,硕士研究生,研究方向为电力系统广域监测等。E-mail: chenyiyang2008@qq.com

引用本文:

金涛, 陈毅阳, 游胜强. 基于Nuttall窗-五点变换的改进FFT介质损耗角测量算法[J]. 电工技术学报, 2015, 30(增刊2): 7-15. Jin Tao, Chen Yiyang, You Shengqiang. An Improved FFT Algorithm for Dielectric Loss Angle Based on Nuttall Window and Five-Point Polynomial Transform. Transactions of China Electrotechnical Society, 2015, 30(增刊2): 7-15.

链接本文:

https://dgjsxb.ces-transaction.com/CN/Y2015/V30/I增刊2/7

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