| 引用本文: | 郑晓娇,王 斌,李卜娟,喻 敏.基于参数优化变分模态分解的间谐波检测[J].电力系统保护与控制,2022,50(11):71-79.[点击复制] |
| ZHENG Xiaojiao,WANG Bin,LI Bujuan,YU Min.Inter-harmonics detection based on parameter optimization variational mode decomposition[J].Power System Protection and Control,2022,50(11):71-79[点击复制] |
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| 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。 |
| 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 |
| DOI：DOI: 10.19783/j.cnki.pspc.211054 |
| 投稿时间：2021-08-09修订日期：2021-10-05 |
| 基金项目: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) |
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| Inter-harmonics detection based on parameter optimization variational mode decomposition |
| ZHENG Xiaojiao,WANG Bin,LI Bujuan,YU Min |
| (1. School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081, China;
2. School of Science, Wuhan University of Science and Technology, Wuhan 430065, China) |
| Abstract: |
| 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.
This work is supported by the National Natural Science Foundation of China (No. 51877161). |
| Key words: inter-harmonic variational mode decomposition Schmidt orthogonality residual energy symmetric difference energy operator |
