Stochastic based extended krylov subspace method for power/ground network analysis

Xiaolong Yuan, J. Fan, Bao Liu, S.X.-D. Tan
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Abstract

In this paper, we present a novel stochastic simulation approach based on extended Krylov subspace method for on-chip power grid analysis. The new method performs the analysis by using random walk in a stochastic manner. But different from the existing random walk method, the moments of the circuits are computed and extended Krylov subspace (EKS) method is used to calculate the responses in frequency domain. The new method can compute the transient responses in a local manner, which is in contrast to the existing random walk method, thus improves the existing frequency-domain random walk method by using extended Krylov subspace method. The resulting method is more numerically stable and faster than existing random walk methods. Experimental results demonstrate the advantages of the proposed method, called rwEKS, over EKS method for localized power grid analysis.
基于随机的扩展krylov子空间法在电力/地网分析中的应用
本文提出了一种基于扩展Krylov子空间法的片上电网随机仿真方法。新方法采用随机游走的方法进行分析。但与现有的随机漫步方法不同,该方法计算电路的矩量,并采用扩展Krylov子空间(EKS)方法计算频域响应。与现有的随机漫步方法相比,新方法可以局部计算瞬态响应,从而改进了现有的频域随机漫步方法,采用扩展Krylov子空间方法。所得到的方法比现有的随机漫步方法在数值上更稳定,速度更快。实验结果表明,在局部电网分析中,rwEKS方法优于EKS方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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