摘要
为了描述电磁脉冲孔耦合瞬态响应特征,基于奇点展开法(SEM)和矩阵束算法,将含有噪声的离散瞬态响应数据表示成矩阵的形式,并分解构造矩阵束,通过奇异值分解(SVD)和广义最小二乘法来进行参数估计,建立了提取电磁脉冲孔耦合瞬态响应极点及留数的模型,进行了仿真和重构实测响应波形。结果表明:模型所提取的参数完全可以描述响应的主要特征;噪声对留数影响较大,对极点的影响较小,因此在数值计算时,可保留有限个主要极点,忽略大量非主要极点,从而提高算法的效率,同时保证数值计算的精确度和稳定性。
In order to describe the characteristic of the transient response from the electromagnetic coupling through aperture, the matrices and then decomposed measured discrete transient response date with noise are represented and constructed the matrix pencil, which are based on the Singulari pulse as the ty Expansion Method （SEM） and the matrix pencil algorithm. The model for extracting the SEM poles and their corresponding residues from the transient response. The parameter estimation is carried out by using the Singular Value Decomposition （SVD） and the generalized least squares method. The results of simulation and reconstruction of the transient responses waveforms from the measured data have shown that the extracted parameters can be described the main characteristic of the transient response. The influence of the noise is great on the residues and small on the poles. So, in the computation, a few number of main poles are held and a large number of non-main poles can be omitted, the efficiency of the proposed algorithm is imoroved and the stability accuracv of the numerical comnutation are also guaranteed.
出处
《电机与控制学报》
EI
CSCD
北大核心
2007年第1期37-40,44,共5页
Electric Machines and Control
基金
国家高等院校博士点专项基金(20040214003)
关键词
电磁脉冲孔耦合
瞬态响应
SEM极点
矩阵束算法
electromagnetic pulse aperture coupling
transient responses
SEM poles
matrix pencil algorithm
