Parametric model order reduction of thermal models using the bilinear interpolatory rational Krylov algorithm

被引：12

作者：

Bruns, Angelika ^{[1
]}

Benner, Peter ^{[2
]}

机构：

[1] Robert Bosch GmbH, D-70839 Gerlingen, Germany

[2] Max Planck Inst Dynam Complex Tech Syst, D-39106 Magdeburg, Germany

来源：

MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS | 2015年 / 21卷 / 02期

关键词：

34K17; 93A15; stability preservation; finite element modelling; thermal heat transfer; parametric model order reduction;

D O I：

10.1080/13873954.2014.924534

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The Bilinear Interpolatory Rational Krylov Algorithm (BIRKA; P. Benner and T. Breiten, Interpolation-based H-2-model reduction of bilinear control systems, SIAM J. Matrix Anal. Appl. 33 (2012), pp. 859-885. doi:10.1137/110836742) is a recently developed method for Model Order Reduction (MOR) of bilinear systems. Here, it is used and further developed for a certain class of parametric systems. As BIRKA does not preserve stability, two different approaches generating stable reduced models are presented. In addition, the convergence for a modified version of BIRKA for large systems is analysed and a method for detecting divergence possibly resulting from this modification is proposed. The behaviour of the algorithm is analysed using a finite element model for the thermal analysis of an electrical motor. The reduction of two different motor models, incorporating seven and thirteen different physical parameters, is performed.

引用

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页码：103 / 129

页数：27

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