Using continuation methods to improve convergence of circuits with high impedance nodes
Using continuation methods to improve convergence of circuits with high impedance nodes
复制标题
使用连续方法提高具有高阻抗节点的电路的收敛性
DOI：
10.1109/iscas.2000.858718
复制
发表时间：
2000
期刊：
影响因子：
--
通讯作者：
Michael M. Green
中科院分区：
文献类型：
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作者：
L. Goldgeisser;Michael M. Green
在求具有多个工作点的电路的工作点(S)或处理直流收敛问题时，连续法比标准的牛顿-拉夫森法更有效。在这篇文章中，我们提出了一种处理由连续方法引起的沿零曲线的奇异或近奇异雅可比矩阵所引起的数值问题的方法。该方法已在使用连续方法的电路仿真器中实现。使用该实现，我们能够在某些电路上获得更好的收敛速度。该方法不仅限于基于同伦方法的模拟器，还可用于任何基于预估-校正机制的常微分方程组求解算法。文中给出了几个电路实例。
The use of continuation methods has been shown to be more effective than standard Newton-Raphson-based methods in finding the operating point(s) of circuits possessing multiple operating points or in dealing with circuits exhibiting convergence problems in DC. In this paper we propose a method of dealing with numerical problems caused by a singular or nearly singular Jacobian matrix along a zero curve resulting from the use of a continuation method. This method has been implemented in a circuit simulator that uses a continuation method. Using the implementation we were able to achieve a much better convergence rate for some circuits. The proposed method is not limited to simulators based on homotopy methods only; it can be used with any ODE solution algorithm based on a predictor-corrector mechanism. Several circuit examples are given.