Time Constant Estimate of RC Blocks—An Iterative Method

Kunquan Peng, Limin Hao, Yaoyao Ye, G. Shi
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Abstract

Many passive circuit reduction methods require estimating time constant for an arbitrary RC circuit block. An iterative solver is proposed in this paper for the fast estimation of large-scale RC blocks appearing in power grid circuits and other passive RC networks in integrated circuits. Experiments show that when the number of nodes of RC blocks that need to be estimated is 1, 442, 401, the estimation speed of iterative solvers is 2.04 times faster than that of direct solvers under the same accuracy. Furthermore, if an order of magnitude reduces the estimation accuracy, the estimation speed of iterative solvers will be 3.07 times faster than that of direct solvers.
RC块的时间常数估计-一种迭代方法
许多无源电路缩减方法需要估计任意RC电路块的时间常数。针对电网电路和集成电路中其他无源RC网络中出现的大规模RC块的快速估计问题,提出了一种迭代求解方法。实验表明,当需要估计的RC块节点数为1,442,401时,在相同精度下,迭代求解器的估计速度比直接求解器快2.04倍。此外,如果估计精度降低一个数量级,迭代求解器的估计速度将比直接求解器快3.07倍。
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