基于乘法窗函数的插值FFT的谐波分析方法

张俊敏; 刘开培; 汪 立; 陈文娟

引用本文:	张俊敏,刘开培,汪立,等.基于乘法窗函数的插值FFT的谐波分析方法[J].电力系统保护与控制,2016,44(13):1-5.
	ZHANG Junmin,LIU Kaipei,WANG Li,et al.An algorithm for harmonic analysis based on multiplication window function[J].Power System Protection and Control,2016,44(13):1-5

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基于乘法窗函数的插值FFT的谐波分析方法
张俊敏¹,刘开培²,汪立³,陈文娟²
(1.中南民族大学计算机科学学院，湖北武汉 430074;2.武汉大学电气工程学院，湖北武汉 430072; 3..国网天津市电力公司，天津 300000)

摘要:

针对常规加窗插值算法在使用过程中会出现不满足要求的情况，提出了一种新的乘法窗函数构造方法。以三种常规窗函数为例构造出九种乘法窗函数，并验证了基于这些乘法窗函数的三谱线插值FFT的谐波高精度分析方法。分析了新的窗函数的性能，将新窗函数应用到三插值FFT的谐波分析算法当中。仿真实验表明，构造出的窗函数在10个周期左右数据和5阶拟合条件下，相比于常规窗函数插值算法有更高的准确度。在实际工程中可根据需要选择所构造的窗函数。

关键词: 谐波分析窗函数快速傅里叶变换乘法频谱泄露

DOI：10.7667/PSPC151347

分类号:

基金项目:国家自然科学基金项目(50677048)

An algorithm for harmonic analysis based on multiplication window function

ZHANG Junmin¹,LIU Kaipei²,WANG Li³,CHEN Wenjuan²

(1. College of Computer Science, South-Central University for Nationalities, Wuhan 430074, China; ;2. College of Electrical
Engineering, Wuhan 430072, China; ;3. State Grid Tianjin Electric Power Company, Tianjin 300000, China)

Abstract:

The conventional interpolation windowed FFT algorithms will have a greater error when the number of the truncation is not enough. For this reason, a new construction method of multiplication window functions is presented to analyze electrical harmonics. Based on three conventional window functions, this paper constructs nine kinds of window functions and verifies an algorithm for harmonic high-precision analysis based on three-spectrum-line interpolation FFT. The performance of new window functions is listed, and the new window function is used for the harmonic analysis algorithm of three interpolation FFT. Simulation experiments show that the algorithms using multiplication windows has higher accuracy than using conventional window functions when the sample number length is about 10 periods and the polynomial is 5 order. In the practical engineering, the constructed window functions can be chosen as required. This work is supported by National Natural Science Foundation of China (No. 50677048).

Key words: harmonic analysis window function FFT multiplication spectrum leakage

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