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首页> 外文会议>IEEE International Midwest Symposium on Circuits and Systems >Efficient algorithm for solving systems of circuit differential-algebraic equations with reliable divergence suppression in DC and time domains
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Efficient algorithm for solving systems of circuit differential-algebraic equations with reliable divergence suppression in DC and time domains

机译：在DC和时间域中具有可靠性分歧抑制的电路差分代数方程求解系统的高效算法

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Although many simulation tools contain advanced algorithms for the solution of the systems of differential-algebraic nonlinear equations, some classes of circuits still cause serious problems. These are typically the circuits with strong negative feedbacks, flip-flop circuits, the blocks that are characterized by macromodels with unusual elements, and large distributed amplifiers and oscillators. In the paper, a very efficient and reliable algorithm for solving the circuit differential-algebraic equations is characterized first, which is based on a sophisticated arrangement of the Newton interpolation polynomial. After that, a novel method is introduced for improving the convergence with four suggested criteria that are being compared. Unlike the similar algorithms focused on an operating point analysis only, the proposed method also works in a transient analysis. All the four criteria are thoroughly tested on nine problematic circuits - six of them often diverge in the operating point analysis, and three of them diverge at some points during the transient analysis. The results confirm extraordinary robustness of the proposed method, even circuits with a large memelement hysteresis can be solved.
机译：虽然许多仿真工具包含用于解决差分代数非线性方程系统的先进算法，但是一些电路仍然造成严重问题。这些通常是具有强负反馈，触发电路的电路，触发器电路，其特征在于具有异常元件的Macromodels的块，以及大分布式放大器和振荡器。在本文中，首先是一种非常高效且可靠的求解电路差分 - 代数方程的算法，其基于牛顿插值多项式的复杂布置。之后，引入了一种新的方法，用于提高与比较的四种建议标准的收敛。与仅相似的算法仅关注在操作点分析上，所提出的方法也适用于瞬态分析。所有四个标准都在九个有问题的电路上进行彻底测试 - 其中六个经常在操作点分析中发散，并且在瞬态分析期间，其中三个在某些点处发散。结果证实了所提出的方法的非凡的稳健性，即使可以解决具有大难题滞后的电路。

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