Model Order Reduction for Systems with Moving Loads

被引:15
作者
Lang, Norman [1 ]
Saak, Jens [2 ,3 ]
Benner, Peter [2 ,3 ]
机构
[1] Tech Univ Chemnitz, Fak Math Math Ind & Tech, D-09126 Chemnitz, Germany
[2] Tech Univ Chemnitz, D-09126 Chemnitz, Germany
[3] Max Planck Inst Dynam Complex Tech Syst, Magdeburg, Germany
关键词
Model order reduction; parametric; linear time invariant systems; switched linear systems; BALANCED TRUNCATION;
D O I
10.1515/auto-2014-1095
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this contribution we present two approaches allowing to find a reduced order approximant of a full order model featuring a moving load term. First, we apply the Balanced Truncation (BT) method to a switched linear system (SLS) using the special structure given in the spatially discretized model. The second approach treats the variability as a continuous parameter dependence and uses the iterative rational Krylov algorithm (IRKA) to compute a parameter preserving reduced order model.
引用
收藏
页码:512 / 522
页数:11
相关论文
共 17 条
[1]   AN ONLINE METHOD FOR INTERPOLATING LINEAR PARAMETRIC REDUCED-ORDER MODELS [J].
Amsallem, David ;
Farhat, Charbel .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 33 (05) :2169-2198
[2]  
[Anonymous], P MATHMOD 2009 6 VIE
[3]   INTERPOLATORY PROJECTION METHODS FOR PARAMETERIZED MODEL REDUCTION [J].
Baur, Ulrike ;
Beattie, Christopher ;
Benner, Peter ;
Gugercin, Serkan .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 33 (05) :2489-2518
[4]   Model Reduction for Parametric Systems Using Balanced Truncation and Interpolation [J].
Baur, Ulrike ;
Benner, Peter .
AT-AUTOMATISIERUNGSTECHNIK, 2009, 57 (08) :411-419
[5]  
Enns D. F., 1984, Proceedings of the 23rd IEEE Conference on Decision and Control (Cat. No. 84CH2093-3), P127
[6]  
Eslami M., 2013, THEORY ELASTICITY TH
[7]   Gramian-based reduction method applied to large sparse power system descriptor models [J].
Freitas, Francisco Damasceno ;
Rommes, Joost ;
Martins, Nelson .
IEEE TRANSACTIONS ON POWER SYSTEMS, 2008, 23 (03) :1258-1270
[8]  
Galant A., ANSYS C 29 CADFEM US
[9]  
Geuss M., 2013, METHODEN ANWENDUNGEN
[10]   H2 MODEL REDUCTION FOR LARGE-SCALE LINEAR DYNAMICAL SYSTEMS [J].
Gugercin, S. ;
Antoulas, A. C. ;
Beattie, C. .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2008, 30 (02) :609-638