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On Computer Aided Analysis of Nonlinear Electronic Circuits

非线性电子电路计算机辅助分析

基本信息

批准号：
60550268
负责人：
USHIDA A.
金额：
$ 1.34万
依托单位：
Tokushima University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1985
资助国家：
日本
起止时间：
1985 至 1986
项目状态：
已结题

项目摘要

Many kinds of computer simulation programs have been proposed that can calculate dc-solution, transient responses and ac-responses of electronic circuits. However, they are not so efficient for the special problems such as steady-state responses of nonlinear circuits and dc-analysis of nonlinear algebraic systems having multiple solutions. Hence, object of our project is to obtain efficient algorithms to the special problems on the nonlinear circuit simulations.For the dc-analysis of nonlinear electronic circuits, we obtained two efficient algorithms that can calculate multiple solutions of nonlinear equations. The first is homotopy method that traces the solution curve and gets all the solutions on it, where we introduced a new variable step-size method that can trace the curve efficiently. The second is an iterval method that can find all the solutions of the nonlinear equation.Many communication circuits such as modulator and mixer are usually driven by multi-frequency components. I … More t is difficult to solve these systems because they have never period and many combination frequency components. Two basic approaches have been used for determining the steady-state response; namely, frequency-domain approach and time-domain approach. Volterra series and perturbation technique are practical frequency-domain methods that can be applied only weakly nonlinear circuits. While the least-square harmonic balance method can be used when the nonlinearity is strong, the number of nonlinear equations to be solved is generally very large.We get an efficient substitution algorithm that can calculate the steady-state responses of nonlinear circuits driven by multi-frequency signals. The algorithm also can be applied to the analysis of non-synchronous oscillations in autonomous and forced oscillator systems. Our algorithm is a sort of Newton method whose variational value is estimated by a relaxation method, where a given nonlinear circuit is separated into two parts: a linear multi-port and a nonlinear subnetwork. The steady-state is obtained by finding the substitution sources such that both subnetworks give the same responses. Then, the equivalent circuit at each iteration is reduced to a time-invariant circuit and the variational value is calculated by solving it for the residual error. Thus, our substitution algorithm is very simple and can be applied many kind of electronic circuits. Less

人们提出了多种计算机模拟程序，可以计算电子电路的直流解、瞬态响应和交流响应。然而，对于非线性电路的稳态响应和具有多解的非线性代数系统的直流分析等特殊问题，它们不是很有效。因此，本课题的目标是获得针对非线性电路仿真中特殊问题的有效算法。对于非线性电路的直流分析，我们得到了两种有效的算法，可以计算非线性方程的多个解。第一种是同伦法，它可以跟踪解曲线并得到曲线上的所有解，其中我们引入了一种新的变步长方法，可以有效地跟踪曲线。第二种是可以求出非线性方程所有解的区间法。许多通信电路，如调制器和混频器，通常是由多频元件驱动的。这些系统很难求解，因为它们没有周期和许多组合频率分量。有两种基本方法用于确定稳态响应；即频域方法和时域方法。沃尔泰拉级数和摄动技术是实用的频域方法，只能应用于弱非线性电路。当非线性较强时，可采用最小二乘谐波平衡法，但要求解的非线性方程通常非常多。给出了一种求解多频信号驱动下非线性电路稳态响应的高效代入算法。该算法也可应用于自主振荡器和受迫振荡器系统的非同步振动分析。我们的算法是一种用松弛法估计变分值的牛顿方法，其中将给定的非线性电路分为线性多端口和非线性子网络两部分。通过寻找两个子网给出相同响应的替代源来获得稳态。然后，将每次迭代的等效电路简化为定常电路，并通过求解残差计算变分值。因此，我们的代换算法非常简单，可以应用于多种电子电路。少