电力系统自动化2017，Vol.41Issue(20)：70-77,8.DOI:10.7500/AEPS20170517016
频域谐波分析算法的新解释及其推广
New Explanation of Frequency Domain Methods for Harmonic Analysis and Its Generalization
摘要
Abstract
Among the frequency domain methods for harmonic analysis,Hann-windowed interpolation algorithms are widely applied.Some of the implementations have similar structures,with merely different interpolation point numbers.By using the relationship between Hann and Rectangular windows,this paper transforms two known Hann windowed algorithms into their equivalent un-windowed forms,finds out their common features and develops a generalized un-windowed p-point interpolation algorithm.In the process of derivation,an approximate model for the un-windowed discrete Fourier transform (DFT) values of multi component signals is established,and then two conditions the algorithm coefficients should satisfy are obtained,while a set of coefficients are designed.When the interpolation point number p is 4 or 5,the proposed method is equivalent to two known Hann windowed methods.The proposed algorithm requires at least 3 interpolation points,when it has the best frequency domain resolution and no corresponding equivalent Hann-windowed form.By combining with the improved DFT recursive formula,the computation amount of the algorithm is linearly related to the interpolation point number p,so the proposed method can greatly reduce the computation amount and provide real time estimation.Different performances of the proposed algorithms with 3 to 6 interpolation points are compared in the simulation,and the algorithm is applied to the real time estimation of the current signal of a three phase motor in the experiment.关键词
离散傅里叶变换/近似模型/递推公式/加窗插值算法/谐波分析Key words
discrete Fourier transform (DFT)/approximate model/recursive formula/windowed interpolation algorithm/harmonic analysis引用本文复制引用
王禹,于淼,彭勇刚,韦巍..频域谐波分析算法的新解释及其推广[J].电力系统自动化,2017,41(20):70-77,8.基金项目
浙江省重点研发计划资助项目(2017C01039) （2017C01039）
国家自然科学基金资助项目(51377142).This work is supported by Zhejiang Provincial Key Research and Development Program of China (No.2017C01039) and National Natural Science Foundation of China (No.51377142). （51377142）
