Co-operative Research of Analysis Method for Very High Speed Integrated Circuits Composed of Distributed and Lumped Elements

在这两年中，我们就这个研究项目开了6次会。本研究成员在此期间取得的主要新成果如下：我们总结了这一学科的研究现状，并对目前已知的各种分析方法进行了系统的分类。(2)分布单元的特性阻抗函数Zo (s)和相特性rheta (s)的双线性函数都必须用有理正实函数来近似。与传统的Pade逼近方法相比，利用这些函数逼近具有更好的收敛性。(3)提出了一种多支路电力系统中多相电路暂态分析的新方法，并通过数值仿真验证了该方法的有效性。(4)对于一般数值分析，提出了一种利用区间分析和有理算法的数值验证方法，并对该方法进行了进一步的改进。(5)提出了一种求解分段线性电阻网络的类katzenelson算法，并证明了其全局收敛性和二次收敛性。(6)提出了分布常数电路（传输线）频域仿真与集总常数电路（逻辑门）时域仿真相结合的暂态分析算法。它采用了波松弛法。(7)在并行计算机上实现了一种新的通用电路分析算法。该程序使我们能够处理各种电路的集成电路仿真系统的基本模块，包括传输线和非线性元件。(8)提出了一种新的介质滤波器等效电路，该等效电路由多导体传输线组成，由实验结果确定集总常数元件和元件值。在较宽的频率范围内，电路的总体特性与物理结果更加吻合。

We had 6 meetings on this research project during these two years. Main new results obtained by the members of this research within this period are given as follows.(1) We summarized the state of the art of this subject and classified systematically various analysis methods so far known.(2) Both the characteristics impedance function Zo (s) and a bilinear function of the phase characteristics rheta (s) of distributed elements have to be approximated by rational positive real functions. The approximation by means of these functions resulted in better property of convergence than the conventional Pade approximation method.(3) A new method of the transient analysis for multi-phase circuits in power system having multi-branches are presented and the validity by numerical simulation are shown.(4) For general numerical analysis, a numerical validation method using the interval analysis and rational arithmetic is presented and some further improvements of this method are given.(5) A Katzenelson-like algorithm was presented for solving piecewise-linear resistive network and its global and quadratic convergence were proved.(6) A transient analysis algorithm combining frequency-domain simulation for distributed constant circuit (transmission line) and time-domain simulation for lumped constant circuit (logic gate) was proposed. It utilized wavr relaxation method.(7) A new algorithm for general circuit analysis was implemented on parallel computer. The program enables us to treat fundamental block of integrated circuits simulation system for various circuits including transmission lines and nonlinear elements.(8) A new equivalent circuit for a dielectric filter was proposed, where the equivalent circuit consists of multiconductor transmission line and lumped constant elements and element values are determined from experimental results. The total characteristics of circuit are much coincident with physical results over wide frequency than usual model.