基于Hanning自乘-卷积窗FFT三峰插值修正的电能计量新算法

刘涛; 庄双勇; 陈晓伟; 赵伟; 张之涵; 黄松岭

引用本文:	刘涛,庄双勇,陈晓伟,等.基于Hanning自乘-卷积窗FFT三峰插值修正的电能计量新算法[J].电力系统保护与控制,2017,45(22):9-15.
	LIU Tao,ZHUANG Shuangyong,CHEN Xiaowei,et al.A new algorithm for electric energy measurement based on Hanning self multiplication-convolution window triple-spectrum-line interpolation FFT[J].Power System Protection and Control,2017,45(22):9-15

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基于Hanning自乘-卷积窗FFT三峰插值修正的电能计量新算法
刘涛¹,庄双勇^2,3,陈晓伟¹,赵伟²,张之涵¹,黄松岭²
(1.深圳供电局有限公司，广东深圳 518000;2.清华大学电机系电力系统国家重点实验室，北京 100084; 3.北京航天飞行控制中心，北京 100094)

摘要:

综合自乘窗和自卷积窗的优势，设计出一种Hanning自乘-卷积窗函数，其具有较优的主瓣和旁瓣性能。基于Hanning自乘-卷积窗FFT三峰插值修正公式、FFT的频移性以及Hanning自乘-卷积窗函数的频谱，拟合推导出信号基波和谐波的通用幅值、相位和频率插值修正公式，并给出了基于该窗函数的一种电能计量新算法。计算精度对比仿真实验以及基波频率波动仿真实验结果表明，基于Hanning自乘-卷积窗函数FFT三峰谱线插值修正的电能计量新算法，具有较高的计算精度和更优的计算稳定性。

关键词: 自乘-卷积窗函数三峰谱线插值谐波电能计量修正公式

DOI：10.7667/PSPC161886

分类号:

基金项目:国家863计划课题(2015AA050404)

A new algorithm for electric energy measurement based on Hanning self multiplication-convolution window triple-spectrum-line interpolation FFT

LIU Tao¹,ZHUANG Shuangyong^2,3,CHEN Xiaowei¹,ZHAO Wei²,ZHANG Zhihan¹,HUANG Songling²

(1. Shenzhen Power Supply Bureau Limited, Shenzhen 518000, China;2. State Key Laboratory of Electric Power System & Department of Electrical Engineering, Tsinghua University, Beijing 100084, China;3. Beijing Aerospace Control Center, Beijing 100094, China)

Abstract:

This paper designs a Hanning self multiplication-convolution window function, which integrates the advantages of the self-multiplication window and self-convolution window and has better main-lobe and side-lobe performance. Based on the formula of self multiplication-convolution window FFT triple-spectrum-line interpolation correction, the frequency shift characteristics of FFT and the spectrum of the Hanning self multiplication-convolution window function, the fundamental and harmonic’s general amplitude, phase and frequency interpolation correction formula are given, and a new approach for electric energy measurement algorithm is also proposed. The experimental results based on calculation accuracy comparative simulation and fundamental frequency fluctuation simulation show that the new algorithm has better calculation accuracy and better calculation stability. This work is supported by National High-Tech R & D Program of China (863 Program) (No. 2015AA050404).

Key words: self multiplication-convolution window function triple-spectrum-line interpolation harmonic electric energy measurement correction formula

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