摘要
针对利用数值分析法求解高阶电路时难于列写系统状态空间方程,且计算复杂烦琐的问题,阐述了一种不需要列写状态空间方程,并且能够直接从动态电路元件得到电路计算模型的建模法(传输线模型(TLM)建模法),同时对一个含耦合元件的动态电路进行了建模和仿真,与常用的其它两种常用的数值分析法进行了比较分析。仿真结果表明,方法简单实用,物理概念清晰,能有效对各种动态电路特别是高阶电路进行求解,并且具有无条件的数值稳定性。
Considering the difficulty to get the state -space equation by means of numerical analysis algorithms, which is also resulted in complicated and large calculation, when solving high order circuits, the paper describes a discrete numerical modeling method, transmission -line Modeling (TLM) method, which does not need to write out state - space equation and can get the circuit model directly from the dynamic circuit. It has a analog simulation for a circuits containing dynamic and coupled components. And other two well - known numerical techniques - RK4 and Gear3, were given and compared with it. The simulating results indicate that this method is simple and practical, and has a clear physical conception. It can effectively analyze all kinds of dynamic and coupled circuits, and has an unconditional numerical stability.
出处
《计算机仿真》
CSCD
北大核心
2009年第8期308-310,354,共4页
Computer Simulation
基金
国家自然科学基金项目(60674003)
国家863高技术基金项目(2006AA11Z230)
关键词
传输线模型
动态电路
耦合电路
数值稳定性
Transmission- line model
Dynamic circuit
Coupled circuit
Numerical stability