Parametric model order reduction of thermal models using the bilinear interpolatory rational Krylov algorithm
Parametric model order reduction of thermal models using the bilinear interpolatory rational Krylov algorithm
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DOI：
10.1080/13873954.2014.924534
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发表时间：
2015-03-04
影响因子：
1.9
通讯作者：
Benner, Peter
中科院分区：
文献类型：
--
作者：
Bruns, Angelika;Benner, Peter
P. Benner和T. Breiten，基于插值的双线性控制系统h -2模型约简，吉林大学学报（自然科学版）。苹果33(2012)，第859-885页。doi:10.1137/110836742)是近年来发展起来的双线性系统的模型阶约简（MOR）方法。在这里，它被用于并进一步发展了某一类参数系统。由于BIRKA不保持稳定性，提出了两种不同的生成稳定约简模型的方法。此外，本文还分析了大系统BIRKA修正后的收敛性，并提出了一种检测该修正后可能产生的发散的方法。利用电机热分析的有限元模型分析了该算法的行为。减少两种不同的电机模型，包括7和13个不同的物理参数，进行。
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.