Error Estimation of the Cauer Ladder Network Method Based on Eigenfunction Expansion

被引:1
|
作者
Nagamine, Hideaki [1 ]
Hiruma, Shingo [1 ]
Mifune, Takeshi [1 ]
Matsuo, Tetsuji [1 ]
机构
[1] Kyoto Univ, Grad Sch Engn, Kyoto 6158510, Japan
基金
日本科学技术振兴机构; 日本学术振兴会;
关键词
Green's function; Krylov subspace methods; model order reduction (MOR); Pade approximation;
D O I
10.1109/TMAG.2023.3246596
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The Cauer ladder network (CLN) method is a model order reduction (MOR) technique used for quasi-static electromagnetic field analysis. In this study, we derive an explicit formula for the error of the truncated transfer function and its error estimators using the eigenvalues of a linear operator and the orthogonal polynomials associated with the basis functions of the CLN method. The effectiveness of the proposed method is clarified through the finite element analysis of a 2-D inductor model.
引用
收藏
页数:4
相关论文
共 50 条
  • [21] APPLICATION OF AN EIGENFUNCTION EXPANSION METHOD IN PLASTICITY
    WIERZBICKI, T
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1974, 41 (02): : 448 - 452
  • [22] ADIABATIC ELIMINATION BY THE EIGENFUNCTION EXPANSION METHOD
    KANEKO, K
    PROGRESS OF THEORETICAL PHYSICS, 1981, 66 (01): : 129 - 142
  • [23] Nonlinear Model Order Reduction of a Variable Reluctance Stepper Motor Using the Parameterized Cauer Ladder Network Method
    Tobita, Miwa
    Matsuo, Tetsuji
    IEEE TRANSACTIONS ON MAGNETICS, 2023, 59 (05)
  • [24] Focus of expansion estimation by an error backpropagation neural network
    Branca, A
    Stella, E
    Attolico, G
    Distante, A
    NEURAL COMPUTING & APPLICATIONS, 1997, 6 (03): : 142 - 147
  • [25] Focus of Expansion estimation by an error backpropagation neural network
    A. Branca
    E. Stella
    G. Attolico
    A. Distante
    Neural Computing & Applications, 1997, 6 : 142 - 147
  • [26] Finite-Element Analysis of Unbounded Eddy-Current Problems Using Cauer Ladder Network Method
    Sugahara, K.
    Kameari, A.
    Ebrahimi, H.
    Shindo, Y.
    Matsuo, T.
    IEEE TRANSACTIONS ON MAGNETICS, 2018, 54 (03)
  • [27] Proper Generalized Decomposition With Cauer Ladder Network Applied to Eddy Current Problems
    Koester, Niels
    Koenig, Oliver
    Biro, Oszkar
    IEEE TRANSACTIONS ON MAGNETICS, 2021, 57 (06)
  • [28] Parametrized Cauer Ladder Network Equations for Reduced Representation of Nonlinear Magnetic Field
    Matsuo, Tetsuji
    Tobita, Miwa
    Eskandari, Hamed
    2024 IEEE 21ST BIENNIAL CONFERENCE ON ELECTROMAGNETIC FIELD COMPUTATION, CEFC 2024, 2024,
  • [29] Estimation on Scale Error of SSC Retrieval Model Based on Scale Expansion Method
    Chen, Jun
    Quan, Wenting
    IEEE JOURNAL OF SELECTED TOPICS IN APPLIED EARTH OBSERVATIONS AND REMOTE SENSING, 2012, 5 (01) : 324 - 330
  • [30] The estimation error in the chain-ladder reserving method: A Bayesian approach
    Gisler, Alois
    ASTIN BULLETIN, 2006, 36 (02): : 554 - 565