多导体传输线瞬态响应研究

Transient analysis of multiconductor transmission lines

针对多导体传输线瞬态响应的无源性问题,提出了基于集总等效源模型的多导体传输线瞬态响应模型.从外场激励下的多导体传输线的频域电报方程解出发,将外场在传输线上激励的分布电压源和电流源与传输线指数矩阵解耦,建立了集总等效电压源和电流源模型.为避免复杂的傅里叶反变换及卷积运算,推导了集总源模型的时域递推方程.在此基础上,采用时域有限差分法建立了端接线性负载、非线性负载和外场激励下的不等长多导体传输线瞬态响应离散递推方程.通过对无损传输线的仿真对比,验证了方法的有效性.最后,对端接线性负载、非线性负载和外场激励下的不等长多导体传输线瞬态响应进行了试验和仿真分析.

Aiming at the transient response of the passivity of multiconductor transmission lines(MTLs),a transient response model based on lumped equivalent sources is proposed.By researching the solution of telegrapher equation of the MTLs exposed to incident field in the frequency domain,the distributed voltage and current sources excited by incident field were decoupled with the exponential MTLs matrix.The lumped equivalent voltage and current sources model were built.The recursive formulation of lumped equivalent in time domain was derived to avoid complex inverse Fourier transform and convolution calculation.Then the discrete recursive equations,including linear loads, nonlinear loads and unequal length MTLs exposed to incident field,were built based on finite difference time domain method.The method proposed in this paper is verified effectively by comparing the simulation results of lossless MTLs.At last,the transient responses of MTLs with linear and nonlinear loads,as well as unequal length MTLs exposed to incident field were analyzed by experiments and simulations.