基于特征线方法的无源传输线模型

摘要

基于特征线方法的传输线模型只能保证模型的因果性,但是不能保证模型的无源性.针对上述问题,该文提出了一种无源性补偿方法来实现传输线宏模型的无源性.该方法扩展了现有的用于集总模型的无源性补偿算法,以等式约束的二次规划方法为基础,采用拉格朗日乘数法进行优化.数值例子表明该方法在有限的仿真时间内产生了精确的无源宏模型.%Although the algorithms based on the Method of Characteristics (MoC) can ensure the transmission-line causality, there is no guarantee of passivity of the resulting macromodels. This paper proposes a new perturbation method for the passivity enforcement of MoC-based macromodels. The method generalizes the recently developed method that is introduced for lumped macromodels, which is based on quadratic programming with equality constraint. This associated optimization problem can be solved by the method of Lagrange multipliers. Numerical examples show that the presented method yields accurate passive macromodels in a limited simulation time.