组合松弛算法在指标约简中的应用

2011 International Conference on Mechatronic Science, Electric Engineering and Computer (MEC) Pub Date : 2011-09-23 DOI:10.1109/MEC.2011.6025787

Yongxin Yan, Xiaolei Zhang

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引用次数: 0

摘要

数学建模和仿真通常得到一个高指标微分代数方程(DAE)系统。结构索引约简算法可以将高索引DAE降为低索引DAE。为了解决结构索引约简算法在某些情况下失效的问题，作者首先分析了组合松弛算法。然后分析了组合松弛算法实现中的一些关键算法。最后，算例结果表明，组合松弛算法是提高DAE中基于结构索引的索引约简算法稳定性和适用性的有效方法。

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Application of the combinatorial relaxation algorithm in index reduction method

The mathematical modeling and simulation usually gets a high-index differential-algebraic equation (DAE) system. The structural index reduction algorithms can reduce high-index DAE to low-index DAE. In order to solve the failure of the structural index reduction algorithms in some cases, the authors firstly analyze the combinatorial relaxation algorithm. Then some key algorithms in the implementation of the combinatorial relaxation algorithm are analyzed. Finally, the result of an example shows that the combinatorial relaxation algorithm is an effective way to improve the stability and suitability of the index reduction algorithm based on structural index in DAE.

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来源期刊

2011 International Conference on Mechatronic Science, Electric Engineering and Computer (MEC)

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