基于改进频谱叠加算法的多间谐波检测方法  

A Method for Detecting Inter-Harmonics Based on Superposition Algorithm of Modified Spectrum

作　　者：孙名扬 王艳 顾叮咚 庄卫金 SUN Mingyang;WANG Yan;GU Dingdong;ZHUANG Weijin(China Electric Power Research Institute,Nanjing 210003,Jiangsu,China;School of Electrical Engineering,Southeast University,Nanjing 210002,Jiangsu,China)

机构地区：[1]中国电力科学研究院有限公司,江苏南京210003 [2]东南大学电气工程学院,江苏南京210002

出　　处：《电网与清洁能源》2022年第3期1-7,15,共8页Power System and Clean Energy

基　　金：国家电网公司总部科技项目(5108-202055023A-0-0-00)。

摘　　要：为提高多组非对称间谐波的检测精度,对多分量频谱叠加算法加以改进,基于一元高次方程韦达定理,提出了对基波及谐波附近多个非对称间谐波的统一计算公式。首先将多个间谐波DFT后在基波及谐波附近的频谱泄露值进行矢量叠加,得出间谐波相关方程组;然后根据统一计算公式求解该复杂方程组,得出间谐波估计频率;最后结合估计频率和初始假设信号,能够得到各个频率对应的幅值及相位。实验算例表明,该间谐波检测方法能准确识别基波及谐波附近的多个非对称间谐波,能够有效解决传统检测识别间谐波时对间谐波存在个数及类型的限制。In order to improve the accuracy of multiharmonic detection,this paper improves the multi-component spectral superposition algorithm,and proposes a unified calculation formula for arbitrary inter-harmonics near the harmonic wave based on the higher order equation of one variable Vieta theorem.Firstly,the spectral leakage values near the fundamental and harmonic waves after multiple interharmonic DFTs are vectorially superimposed to obtain the interharmonic correlative equations.Secondly,according to the unified calculation formula,the complex equations are solved and the estimated frequency of inter-harmonics is obtained.Finally,the amplitude and phase of each frequency is obtained by combining the estimated frequency with the initial hypothesis signal.The experimental examples show that the proposed method can accurately identify multiple inter-harmonics near the base wave and harmonic wave,and effectively solve the limitation of the number and type of inter-harmonics in the traditional detection and identification of inter-harmonics.

关 键 词：谐波 间谐波检测 主瓣干扰 快速傅里叶变换 高次方程求解 

分 类 号：TM72[电气工程—电力系统及自动化]