摘要
基于二阶广义积分器(SOGI)的自适应滤波器(AF)在电网电量测量、电机位置、速度检测与估计等场合具有广泛应用。采用双线性变换方法进行离散化的数字AF在数字化实现过程中引入了滞后一拍,会造成数字系统的性能退化,特别是在信号-采样频率比比较大的应用场合,性能退化的影响难以忽略。本文对双线性变换离散的数字AF的性能退化规律进行了定量地理论分析,首先指出了滞后一拍使数字系统的稳定性降低,并给出了数字系统的稳定区间;然后分别定量地给出了实际数字系统所存在的频率偏移、幅值增益以及正交性的理论分析结果;最后通过仿真和实验验证了理论分析的正确性。
Adaptive filter(AF)based on second-order generalized integrator(SOGI)is widely applied in power grid measurement,motor position/speed detection and estimation occasions.In the process of digital realization,the digital AF with bilinear transformation will result in one-step-delay,which degrades the performance,especially for large signal-sample frequency ratio applications.In this paper,the performance degradation law of the digital AF with bilinear transformation was analyzed theoretically.The stability analysis of digital AF with one-step-delay was done firstly,and the stable range of digital system was given.Then the frequency offset,amplitude gain and orthogonality of the actual digital system were analyzed sequentially.Finally,the simulation and experimental results verify the correctness of theoretical analysis.
作者
刘亚静
段超
李海东
LIU Ya-jing;DUAN Chao;LI Hai-dong(School of Electrical Engineering,Beijing Jiaotong University,Beijing 100044,China)
出处
《电机与控制学报》
EI
CSCD
北大核心
2021年第2期37-44,共8页
Electric Machines and Control
基金
国家自然科学基金(51407005)
河北省重点研发计划(20351601D)
河北省高层次人才资助项目(A202003012)。
关键词
自适应滤波器
二阶广义积分器
数字化
滞后一拍
频率偏移
幅值增益
adaptive filter
second-order generalized integrator
digital
one-step-delay
frequency offset
amplitude gain
