电力系统保护与控制2011，Vol.39Issue(11)：38-43,6.
基于离散傅里叶变换的频谱分析新方法
A new method of spectrum analysis based on DFT
摘要
Abstract
There are some shortcomings existing in present frequency measurement algorithm and spectrum analysis method. So a new method of spectrum analysis based on DFT is proposed, which can accurately calculate the fundamental component of signals,the amplitude, frequency and phase angle of integral harmonics and non-integral harmonics fundamental frequency component, and the amplitude and decay time constant of the decaying DC component. The deduction of formula starts from the model of a single signal to get the amplitude, frequency and phase angle of single cosine signal, then extends to the general complicated signal, using Newton-Raphson to solve the equations. The algorithm has the advantages of higher accuracy and stronger real-time. Besides, the influence of initial sampling point, frequency of sampling and order number is very small. The presented method is tested by specific example and the solution proves the validity of the method.关键词
离散傅里叶变换/频谱分析/牛拉法/快速傅里叶变换/整次谐波/非整次谐波Key words
discrete Fourier transforms (DFT)/ spectrum analysis/ Newton-Raphson/ fast Fourier transforms (FFT)/ integral harmonics/ non-integral harmonics分类
信息技术与安全科学引用本文复制引用
徐岩,张晓明,王瑜,孙庆彬,王之猛,孙岳..基于离散傅里叶变换的频谱分析新方法[J].电力系统保护与控制,2011,39(11):38-43,6.基金项目
河北省教育厅科学研究计划项目(Z2009450) （Z2009450）
