压缩感知电流互感器传变特性辨识方法

Identification of the transmission characteristics of a current transformer based on compressed sensing

为解决快速准确系统辨识电流互感器传变特性的理论问题,基于压缩感知理论,提出了电流互感器传变特性的压缩感知系统辨识方法。首先推导了Jiles-Atherton(J-A)模型电流互感器的传递函数,其次提出了电流互感器的压缩感知系统辨识架构,构造多频率正弦信号稀疏字典,产生压缩感知辨识激励信号,满足电流互感器传变特性的稀疏先验条件,最后采用Toeplitz测量矩阵,使用压缩采样匹配追踪算法实现了电流互感器传变特性的精确辨识。仿真实验结果表明,所提的压缩感知辨识方法能够准确辨识电流互感器的传变特性,显著提升电流互感器传变特性的系统辨识效率。

The fast and accurate system identification of the transmission characteristics of a current transformer is an important theoretical problem.In this work,a compressed sensing system method for the identification of the transmission characteristics of a current transformer is proposed based on compressed sensing theory.The transfer function of the J-A model current transformer is firstly derived,and the compressed sensing system identification architecture of the current transformer is subsequently proposed.Finally a multi⁃frequency sine signal sparse dic⁃tionary is constructed to generate the compressed sensing identification excitation signal,which meets the sparse prior conditions of current transformer transmission characteristics.A Toeplitz measurement matrix and a com⁃pressed sampling matching tracking algorithm are used to realize the accurate identification of the current transform⁃er transmission characteristics.Simulation results show that the compressed sensing identification method proposed in this paper can accurately identify the transmission characteristics of a current transformer and significantly im⁃prove the system identification efficiency of current transformer transmission characteristics.