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文章摘要
基于EMD和卡尔曼滤波的振荡信号检测
The Detection of Oscillation Based on EMD and Kalman Filter
Received:June 09, 2014  Revised:June 09, 2014
DOI:
中文关键词: EMD  卡尔曼滤波  振荡检测
英文关键词: emd, kalman  filter, oscillation  detecting
基金项目:
Author NameAffiliationE-mail
XU Feng* State Key Laboratory of Advanced Electromagnetic Engineering and Technology,Huazhong University of Science and Technology 497353905@qq.com 
LI Kai-cheng State Key Laboratory of Advanced Electromagnetic Engineering and Technology,Huazhong University of Science and Technology  
WANG Ke State Key Laboratory of Advanced Electromagnetic Engineering and Technology,Huazhong University of Science and Technology  
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中文摘要:
      本方法针对振荡信号,可以定量计算振荡信号的参数,同时定位振荡发生的起始时刻。振荡的随机性使其常常叠加于基波信号之上,EMD分解能将叠加于基波信号上的振荡信号提取出来,从而使得卡尔曼状态空间方程简化而可靠。在建立卡尔曼状态空间时,利用Z变换建立迭代关系,使得含指数变化项的振荡信号的状态更新变得简单。利用该方法可以快速精确地检测出振荡的频率和衰减指数,最后利用振荡发生起始点处的采样值可以快速确定振荡的最大幅值。卡尔曼滤波能容纳一定程度的噪声,可以利用卡尔曼滤波将噪声的影响有效降低,通过仿真实验可以看到该方法能有效检测振荡信号的实时参数,并确定振荡的有效区间,误差均较小。最后通过比较几种检测振荡信号的方法,证明了本方法的优势。
英文摘要:
      The method proposed in this paper aims to detect parameters of oscillation and locate the fault. Oscillation is often superimposed on the fundamental frequency signal for its randomness, and EMD can separate it, making Kalman state-space model more simply and reliable. When establishing the Kalman state space, the use of Z-transform makes its state updates easier. The proposed method can measure frequency and damping factor of oscillation precisely and quickly. Finally, the sample values of the starting point of the oscillation helps to determine the maximum amplitude of the oscillation. Kalman filter allows some degree of noise, which can reduce influence of noise effectively. The simulation results can be seen that the method can detect oscillation parameter efficiently and locate the oscillation range, and all of its error is acceptable. Compared with several oscillation detecting methods, the algorithm proposed in this paper was proved to be advantageous.
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