Adaptive Subdomain Model Order Reduction With Discrete Empirical Interpolation Method for Nonlinear Magneto-Quasi-Static Problems

被引:18
|
作者
Sato, Yuki [1 ,2 ]
Clemens, Markus [3 ]
Igarashi, Hajime [1 ]
机构
[1] Hokkaido Univ, Grad Sch Informat Sci & Technol, Sapporo, Hokkaido 0600814, Japan
[2] Japan Soc Promot Sci, Tokyo 1020083, Japan
[3] Berg Univ Wuppertal, Chair Electromagnet Theory, Fachbereich 9, D-42119 Wuppertal, Germany
关键词
Finite element method (FEM); magneto-quasi-static (MQS) field; model order reduction (MOR); nonlinear problem; FIELD SIMULATIONS;
D O I
10.1109/TMAG.2015.2489264
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
This paper presents a novel adaptive subdomain model order reduction (MOR) based on proper orthogonal decomposition (POD) and discrete empirical interpolation (DEI) methods for nonlinear magneto-quasi-static (MQS) problems. In this method, a nonlinear region is decomposed into two regions, where one of the regions includes all those finite elements that have a particularly strong saturation and the other region does not. MOR based on POD and DEI methods is applied only to the latter region. Both the regions are determined automatically at each time step. It is shown that this method can effectively reduce the computational time to solve the nonlinear MQS problems without losing the quality of accuracy.
引用
收藏
页数:4
相关论文
共 34 条
  • [21] Direct Mesh-Based Model Order Reduction of PEEC Model for Quasi-Static Circuit Problems
    Dou, Yuhang
    Wu, Ke-Li
    IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2016, 64 (08) : 2409 - 2422
  • [22] Balanced Truncation on Empirical Gramians for Model-Order-Reduction of Non-Quasi-Static Effects in MOSFETs
    Yao, Shijing
    Deng, Yangdong
    Yu, Zhiping
    2008 9TH INTERNATIONAL CONFERENCE ON SOLID-STATE AND INTEGRATED-CIRCUIT TECHNOLOGY, VOLS 1-4, 2008, : 309 - 312
  • [23] Efficient Simulation of Nonlinear Transmission Lines using Empirical Interpolation and Projection-Based Model Order Reduction
    Nouri, Behzad
    Nakhla, Michel
    2018 IEEE/MTT-S INTERNATIONAL MICROWAVE SYMPOSIUM - IMS, 2018, : 87 - 89
  • [24] An Adaptive Substructure -Based Model Order Reduction Method for Nonlinear Seismic Analysis in OpenSees
    Wang, Jian
    Fang, Ming
    Li, Hui
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2020, 124 (01): : 79 - 106
  • [25] An Adaptive Model Order Reduction Method Based on the Damage Evolution for Nonlinear Seismic Analysis
    Wang, Jian
    Fang, Ming
    Li, Hui
    ADVANCES IN CIVIL ENGINEERING, 2020, 2020
  • [26] An efficient finite-discrete element method for quasi-static nonlinear soil-structure interaction problems
    Dang, Hoang K.
    Meguid, Mohamed A.
    INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2013, 37 (02) : 130 - 149
  • [27] Model order reduction of nonlinear homogenization problems using a Hashin-Shtrikman type finite element method
    Wulfinghoff, Stephan
    Cavaliere, Fabiola
    Reese, Stefanie
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 330 : 149 - 179
  • [28] HIERARCHICAL MODEL REDUCTION OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS BASED ON THE ADAPTIVE EMPIRICAL PROJECTION METHOD AND REDUCED BASIS TECHNIQUES
    Smetana, Kathrin
    Ohlberger, Mario
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2017, 51 (02) : 641 - 677
  • [29] An adaptive model order reduction method for nonlinear seismic analysis of civil structures based on the elastic-plastic states
    Fang, Ming
    Wang, Jian
    Li, Hui
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 122 (15) : 3985 - 4006
  • [30] An adaptive model order reduction method for boundary element-based multi-frequency acoustic wave problems
    Xie, Xiang
    Liu, Yijun
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 373