An efficient variable-gain homotopy method for finding DC operating points of transistor circuits
An efficient variable-gain homotopy method for finding DC operating points of transistor circuits
复制标题
一种寻找晶体管电路直流工作点的高效可变增益同伦方法
DOI：
10.1109/apccas.2018.8605634
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Kiyotaka Yamamura and Takumi Shimada
中科院分区：
文献类型：
--
作者：
Mohamed Mansour;Xavier Le Polozec and Haruichi Kanaya;賈立唯，藤森和博;Kiyotaka Yamamura and Takumi Shimada
同伦方法是寻找非线性电路直流工作点的有效方法，具有全局收敛的理论保证。同伦方法有多种类型，作为求解双极晶体管电路最有效的方法之一，可变增益同伦(VGH)方法是众所周知的。在本文中，我们提出了一种有效的VGH方法，其中在同伦函数中使用了更有效的线性函数。数值算例表明，该方法比传统的VGH方法具有更高的效率。对于修正的节点方程，该方法是全局收敛的，且无需编写复杂的程序即可在SPICE中实现。
Homotopy methods are known to be effective methods for finding DC operating points of nonlinear circuits with the theoretical guarantee of global convergence. There are several types of homotopy methods; as one of the most efficient methods for solving bipolar transistor circuits, the variable-gain homotopy (VGH) method is well-known. In this paper, we propose an efficient VGH method where a more effective linear function is used in the homotopy function. By numerical examples, it is shown that the proposed method is more efficient than the conventional VGH method. It is also shown that the proposed method is globally convergent for modified nodal equations and can be implemented in SPICE easily without writing complicated programs.