含集总源均匀传输线暂态响应的时域求解

In time-domain to solve transient response of uniform transmission line excited by Lumped-source

为解决含集总源均匀传输线的暂态响应问题,将传输线的电路模型和时域有限差分法(FDTD)应用到分析传输线暂态过程的求解中。开展了电路理论、计算数学、程序设计等方面的分析,建立了一种简单、快速、有效的时域数值解法。利用有限时域差分理论对偏微分方程组进行了离散,提出了一种全新的差分计算格式。并根据电压、电流在始端、终端上的约束关系,运用传输线集中参数的等效模型确定了边界条件,通过仿真计算得到了响应波形。此外,对传输线在不同边界条件、传输线耦合等情况下的暂态过程进行Matlab编程计算得到了仿真波形,并借助EMTP-ATP软件对此仿真结果进行了验证。研究结果表明,该研究为均匀传输线暂态响应提供了一种简单可行的方法。

In order to solve the problems of transient response of uniform transmission line excited by Lumped-source , the model of transmission line and finite-difference time-domain （FDTD）was investigated. After the analysis of circuit theory and computational mathematics and program design, a simple and quick and effective numerical solution in time domain was established. The partial differential equation group dispersed with the theory of FDTD solution. A method was presented to a bran-new differential formation. Furthermore boundary conditions were found to basis lumped equivalent circuit mode at boundary and constraints between voltage and current. Computing and programming to transmission line transient with different conditions of boundary and two line coupling or even more complicated loading were carried out, simulation waveforms were gotten. By comparing the waveforms with the simulated waveforms obtained through the EMTP-ATP simulation software, the all results were tested. The results indicate that the analysis provides a simple and feasible method for solving the transient response of uniform transmission line.