一种高频率分辨率的谐波、间谐波分析模型  

A High Frequency Resolution Harmonic and Interharmonic Analysis Model

作　　者：李文番 张国钢[1] 钟浩杰 陈沐傈 耿英三[1] Li Wenfan;Zhang Guogang;Zhong Haojie;Chen Muli;Geng Yingsan(State Key Laboratory of Electrical Insulation and Power Equipment Xi’an Jiaotong University,Xi’an 710049 China)

机构地区：[1]电力设备电气绝缘国家重点实验室(西安交通大学),西安710049

出　　处：《电工技术学报》2022年第13期3372-3379,3403,共9页Transactions of China Electrotechnical Society

基　　金：国家重点研发计划(2016YFF0201205);电力设备电气绝缘国家重点实验室开放课题(EIPE20211)资助项目。

摘　　要：非线性负载、电力电子设备等给电力系统引入了大量的谐波、间谐波,对电力系统的安全稳定运行造成威胁。离散傅里叶变换(DFT)技术频率分辨率较低,当间谐波与基波或者谐波之间的频率间隔较小时,无法对邻近频率分量进行准确分辨;矩阵束法等频率分辨率较高的算法通常运算量较大,只能进行谐波、间谐波的离线分析。该文结合全相位傅里叶变换(ApFFT)和泰勒傅里叶多频模型,提出一种频率分辨率高、计算量小的谐波、间谐波分析模型,其频率分辨率远大于传统DFT技术,运算速度约是矩阵束法的39倍。该文对该模型的噪声鲁棒性、频率分辨率、运算速度进行了仿真分析和实验验证。仿真和实验结果表明,所提出的模型具有良好的噪声鲁棒性,频率分辨率可以达到12Hz,进行谐波、间谐波分析时的频率误差小于0.01Hz,幅值误差小于5%,可以实现谐波、间谐波的快速检测。The nonlinear loads and power electronic equipment have introduced a large number of harmonics and inter-harmonics into the power system, posing a threat to the safe and stable operation of the power system. The existing DFT technology has a low frequency resolution. When the frequency interval between the interharmonic and the fundamental or harmonic is small, the adjacent frequency components cannot be accurately distinguished. Algorithms with higher frequency resolution, such as Matrix Pencil Method, usually require a lot of calculations and can only perform offline analysis of harmonics and inter-harmonics. Combining ApFFT and Taylor Fourier multi-frequency model, this paper proposes a harmonic and interharmonic analysis model with high frequency resolution and small calculation amount, and its frequency resolution is much greater than that of traditional DFT technology,and its operation speed is about 39 times that of the Matrix Pencil Method. The noise robustness,frequency resolution, calculation speed of it have been simulated and verified by experiments in this paper. The simulation and experimental results show that the proposed model has good noise robustness and needs small amount of calculation, the frequency resolution can reach 12Hz. The frequency error and amplitude error during harmonic and inter-harmonic analysis is less than 0.01Hz and 5% respectively,and it can realize rapid detection of harmonics and inter-harmonics.

关 键 词：间谐波分析 泰勒-傅里叶 频率分辨率 噪声鲁棒性 

分 类 号：TM93[电气工程—电力电子与电力传动]