A Multirate Row-scheme For Index-1 Network Equations

Michael Striebel; Andreas Bartel; Michael Guenther

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A Multirate Row-scheme For Index-1 Network Equations

机译：索引1网络方程的多速率行方案

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Multirate methods exploit latency in electrical circuits to simulate the transient behaviour more efficiently. To this end, different step-sizes are used for various subsystems. The size of these time steps reflect the different levels of activity. Following the idea of mixed multirate for ordinary differential equations, a Rosenbrock-Wanner based multirate method is developed for index-1 differential-algebraic equations (DAEs) arising in circuit simulation. To obtain order conditions for a method with two activity levels, P-series (and DA-series) are generalised and combined for an application to partitioned DAE systems. A working scheme and results for a benchmarking circuit are presented.

机译：多速率方法利用电路中的延迟来更有效地模拟瞬态行为。为此，将不同的步长用于各种子系统。这些时间步长反映了活动的不同水平。遵循常微分方程混合多速率的思想，针对基于电路仿真的指数1微分代数方程（DAE），开发了基于Rosenbrock-Wanner的多速率方法。为了获得具有两个活动级别的方法的订购条件，对P系列（和DA系列）进行了一般化和组合，以应用于分区DAE系统。介绍了基准电路的工作方案和结果。

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来源
《Applied numerical mathematics》 |2009年第4期|800-814|共15页
作者
Michael Striebel; Andreas Bartel; Michael Guenther;
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作者单位

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
circuit simulation; partitioned systems; differential-algebraic equations; mixed multirate row schemes; p-series theory; ma-series theory;

机译：电路仿真;分区系统;微分代数方程;混合多速率行方案;p系列理论;ma系列理论;

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A Multirate Row-scheme For Index-1 Network Equations

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