基于参数优化变分模态分解的间谐波检测  

Inter-harmonics detection based on parameter optimization variational mode decomposition

作　　者：郑晓娇 王斌[1] 李卜娟 喻敏[2] ZHENG Xiaojiao;WANG Bin;LI Bujuan;YU Min(School of Information Science and Engineering,Wuhan University of Science and Technology,Wuhan 430081,China;School of Science,Wuhan University of Science and Technology,Wuhan 430065,China)

机构地区：[1]武汉科技大学信息科学与工程学院,湖北武汉430081 [2]武汉科技大学理学院,湖北武汉430065

出　　处：《电力系统保护与控制》2022年第11期71-80,共10页Power System Protection and Control

基　　金：国家自然科学基金项目资助(51877161);湖北省教育厅科研计划指导项目资助(B2018006)。

摘　　要：变分模态分解(VMD)已在谐波检测领域得到应用,但人为设定分解参数K,导致误差较大。为提升VMD在间谐波检测中的准确性,首先,采用施密特正交化理论对VMD预分解得到的各分量进行正交化处理,以避免模态混叠。然后求得不同K值对应的残差能量,利用残差能量值最小化法优化参数K,进而提取间谐波信号。最后采用对称差分能量算子,获得间谐波信号幅值与频率等特征信息。仿真实验表明:所提出的方法能有效优化参数K,降低VMD分解误差。同经验模态分解(EMD)、集合经验模态分解(EEMD)以及近年新提出的同步挤压小波变换(SST)相比,参数优化变分模态分解在间谐波检测上效果显著提升,具有更高的检测精度。Variational mode decomposition(VMD)has been applied in the field of harmonic detection,but the error is large when the decomposition parameter K is artificially set.In order to improve the accuracy of VMD in inter-harmonic detection,first,Schmidt orthogonalization theory is used to orthogonalize the components obtained from VMD pre-decomposition in order to avoid modal aliasing.Then the residual energy corresponding to different K values is obtained,and the residual energy value minimization method is used to optimize the parameter K,and then extract the inter-harmonic signal.Finally,a symmetrical difference energy operator is used to obtain characteristic information such as the amplitude and frequency of the inter-harmonic signal.Simulation results show that the proposed method can effectively optimize the parameter K and reduce the VMD decomposition error.Compared with empirical mode decomposition(EMD),ensemble empirical mode decomposition(EEMD)and synchrosqueezing wavelet transform(SST)proposed in recent years,parameter optimized variational mode decomposition is more effective in inter-harmonic detection and has higher detection accuracy.

关 键 词：间谐波 变分模态分解 施密特正交化 残差能量 对称差分能量算子 

分 类 号：TM935[电气工程—电力电子与电力传动]