一种多导体传输线瞬态响应时间步积分法  

Time-step integration method for transient analysis of multiconductor transmission lines

作　　者：史凌峰[1,2] 成立业[1,2] 曹成美[1,2] 孟辰[1,2] 蔡成山[1,2] 

机构地区：[1]西安电子科技大学超高速电路设计与电磁兼容教育部重点实验室,陕西西安710071 [2]西安电子科技大学电路设计计算机辅助设计(CAD)所,陕西西安710071

出　　处：《电波科学学报》2012年第5期990-996,共7页Chinese Journal of Radio Science

基　　金：国家自然科学基金(No.60876023);国家重点实验室基金:超高速电路设计与电磁兼容教育部重点实验室(JY0100092702)

摘　　要：针对时域有限差分法分析非均匀有损耗多导体传输线瞬态响应的差分振荡问题,提出一种多导体传输线瞬态响应的时间步积分方法。该方法对不等长非均匀有损多导体传输线建模时,无需对耦合传输线进行解耦,能够较方便地求解耦合状态下的不等长非均匀有损多导体传输线系统。所提方法首先对电波方程中的空间微分算子进行差分离散,然后采用梯形积分法对时间微分算子进行积分,最终得到分析不等长非均匀有损多导体传输线瞬态响应的时间步积分算法。该算法不仅应用于不等长非均匀有损多导体传输线模型进行数值计算和理论分析,并对传输线终端端接线性负载和非线性负载的两种情况进行仿真验证。仿真结果表明该方法是有效的。The paper presents a time-domain integration method for transient analysis of multiconductor transmission lines （MTL） in order to solve difference oscillation problems caused by the finite-difference time domain （FDTD） in the analysis of transient analysis of nonuniform lossy MTL. In modeling unequal length nonuniform lossy MTL, this method need not decouple transmission lines and is directly used in solving unequal length nonuniform lossy MTL system. It firstly discretizes the spatial deriva- tives in the electricwave equations by differences, and then calculates the time integral of the time derivatives by Trapezoid integral calculus method. Finally, a time-domain integration method is obtained. The method is used to calculate and analyze the models of unequal length nonuniform lossy MTL. The method is simulated by the models of MTL with linear loads and nonlinear loads. The results of simulation are shown that the presented method is effective.

关 键 词：时间步积分 多导体传输线 瞬态分析 时域有限差分 

分 类 号：O441.4[理学—电磁学]