基于Krylov投影法的大型线性无源电路降阶建模

L. Dumitriu, M. Iordache
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引用次数: 5

摘要

大规模动态系统的有效仿真需要对原电路进行系统的降阶处理。本文将投影法与Krylov子空间相结合,得到鲁棒准确的降阶方法。该算法首先利用分块Arnoldi过程在Krylov子空间上找到基矩阵,然后利用投影技术构造降阶模型。结果表明,利用半状态法和Krylov投影法可以处理MIMO系统。文中给出了一个实例,并给出了一些结论。
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Reduced-order modelling of large linear passive circuits using Krylov projection method
The efficient simulation of large-scale dynamic systems needs a systematic procedure for order reduction of the original circuit. The paper combines the projection method with Krylov subspaces to obtain robust and accurate order reduction techniques. First of all, the algorithm finds a basis matrix onto Krylov subspaces, using a block Arnoldi process, and then constructs a reduced-order model via projection technique. It is shown that we can handle the MIMO systems using the semi-state method and Krylov projection method. An illustrative example is given and some conclusions are pointed out.
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