端接非线性负载的非均匀传输线瞬态分析

在均匀多导体传输线的时域有限差分法(FDTD)基础上，对非均匀多导体传输线及端接非线性负载的情况进行了分析。结果表明：对于非均匀多导体传输线，采用FDTD法进行瞬态分析极为方便，并且可以处理端接非线性负载的情况；同时，还可获得线上各点的电压、电流波过程。通过实例验证了所提出的FDTD算法的有效性，可用于传输线波过程的研究。     

不等长非均匀有损耗传输线FDTD瞬态分析

以分析等长均匀无损耗多导体传输线的时域有限差分(FDTD)法为基础,在考虑传输线损耗的情况下,对不等长非均匀多导体传输线进行分析。首先,在考虑传输线损耗的情况下给出传输线上各点电压和电流的迭代计算公式;其次,利用该公式对不等长非均匀有损耗传输线模型进行数值计算和理论分析;最后,通过仿真实验,其结果表明所提计算方法是正确和有效的。该方法对不等长非均匀有损耗传输线的研究提供理论计算参考。     

多导体传输线瞬态响应研究

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.       

多导体传输线瞬态响应研究

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.     

任意截面的非平行多导体传输线瞬态分析

以分析多导体传输线的时域有限差分(FDTD)法为基础,在考虑任意截面传输线分布参数无法直接计算的情况下,提出MOM-FDTD 混合方法对不平行多导体传输线进行瞬态分析。首先,利用FDTD建立多导体传输线时域差分模型,然后用MOM 法计算任意截面形状的非平行传输线的分布参数,并且与FDTD法混合进行瞬态分析计算。此算法相对于全波算法,在时间与存储空间消耗上具有很大的优势,并且满足精度要求。最后通过同轴传输线与矩形带状线的例子验证这个方法是正确有效的。     

基于FDTD的不等长有损耗传输线的瞬态分析

本文在考虑传输线损耗的情况下,对时域有限差分(FDTD)法应用于不等长有损耗传输线的情况进行了研究。首先,在考虑传输线损耗的情况下给出了传输线上各点电压和电流的迭代计算公式;其次,利用该公式对不等长有损耗传输线模型进行数值计算和理论分析;最后,通过仿真实验,其结果表明了所提计算方法是正确和有效的。该方法对不等长有损耗传输线的研究提供了理论计算参考。     

外场作用双导线的电磁耦合时域分析方法

基于时域有限差分（finite-difference time-domain，FDTD）法和传输线方程，并结合插值技术，研究了一种高效的时域混合算法，能够快速模拟电磁波照射自由空间和屏蔽腔内双导体传输线的电磁耦合，并实现空间电磁场与双导线瞬态响应的同步计算.该算法先采用FDTD方法模拟双导线周围空间的电磁场分布，结合插值技术构建适用于双导线电磁耦合的传输线方程，再采用FDTD的中心差分格式进行离散，从而求解得到传输线和端接负载上的瞬态响应.同时，分析双导线间距对其电磁耦合的影响，掌握其耦合规律.通过相应数值算例的模拟，并与FDTD方法进行对比，验证了该时域混合算法的正确性和高效性.     

不等长多导体传输线模型串扰问题分析

不等长多导体模型为电力电子系统中传输线的一种常见结构,其串扰问题关系到整个系统的正常运行。采用时域有限差分格式对传输线方程进行差分离散,并结合基尔霍夫定律,对不同多导体系统连接位置进行处理,推导出多导体传输线上电压电流迭代公式,实现了整个模型上全部电压电流的同步求解,并通过算例验证了该方法在分析电大尺寸传输线电磁干扰问题时的有效性。     

城际列车线缆串扰分析

用矩量法求解多导体传输线的分布参数,采用多导体传输线理论,建立了串扰模型,并用CST电缆工作室对线缆建模,验证了传输线模型的正确性,并利用所构建模型分析了城际列车上电源线NHWL1-3.5与信号线NH-WL1-1.25的线缆间距、线缆长度以及线缆端接负载对串扰的影响。     

传输线端接复杂电路的电磁耦合时域分析方法

该文基于时域有限差分(FDTD)方法和传输线方程,结合Ngspice软件,提出一种高效的时域混合算法,能够快速模拟空间电磁场作用传输线端接复杂电路的电磁耦合问题.该算法的优势在于实现了空间电磁场辐射与端接复杂电路瞬态响应的协同计算,且避免了对传输线和复杂电路结构的直接建模.首先,将复杂电路通过传输线的特性阻抗进行等效,采用FDTD方法结合传输线方程,求解得到特性阻抗上的入射电流响应.然后,在每个时间步上,将该电流引入复杂电路作为激励源,联合电路模型建立网表文件.最后,使用Ngspice软件读取网表文件,并仿真得到电路各元件上的瞬态响应.通过相应计算实例的数值模拟,与电磁场仿真软件CST的计算结果以及耗用内存和时间进行对比,验证了算法的正确性和高效性.     

The finite-difference time-domain solution of lossy MTL networkswith nonlinear junctions

We describe a numerical technique to solve lossy multiconductor transmission line (MTL) networks, also known as tube/junction networks, which contain nonlinear lumped circuits in the junctions. The method is based on using a finite-difference technique to solve the time-domain MTL equations on the tubes, as well as the modified nodal analysis (MNA) formulation of the nonlinear lumped circuits in the junctions. The important consideration is the interface between the MTL and MNA regimes. This interface is accomplished via the first and last finite-difference current/voltage pair on each MTL of the network and, except for this, the two regimes are solved independently of each other. The advantage of the FDTD method is that the MTL equations may contain distributed source terms representing the coupling with an external field. We apply the method to previously published examples of multiconductor networks solved by other numerical methods, and the results agree exceptionally well. The case of an externally coupled field is also considered     

An efficient characterization of interconnectedmulticonductor-transmisslon-line networks

The numerical solution of the multiconductor-transmission-line (MTL) equations for lossy interconnected transmission lines (TLs) is investigated in this paper. The solution for the transmission line segments is accomplished through the finite-difference time-domain method, whereas the terminations and interconnection networks (which may contain nonlinearities) are characterized with an efficient state-variable representation. High-frequency skin-effect losses in the TLs are included in the MTL equations through convolution integrals in the MTL equations. The computation of these convolution integrals represents the bulk of the solution effort. Two methods, the singular-value-decomposition method and the matrix-pencil method, are shown to significantly reduce the computation time and improve the solution accuracy     

Lightning-induced effects on lossy MTL terminated on arbitraryloads: a wavelet approach

Lightning-induced electromagnetic effects propagating on multiconductor transmission-line (MTL) structures are a severe threat for many electronic devices. The solution of uniform MTL equations with frequency-dependent losses and nonlinear loads is proposed in the wavelet domain. Some remarkable features of the wavelets are presented and applied in order to speed up the solution time of the induced effects and to open possibilities to use them for signal integrity analysis. Validation of the obtained results with others given by well-established numerical techniques is also presented     

A SPICE model for multiconductor transmission lines excited by anincident electromagnetic field

This paper describes a SPICE model that may be used for predicting the time-domain or frequency-domain voltages and currents induced at the terminations of a multiconductor transmission line (MTL) by an incident electromagnetic held. Explicit results for the entries in the SPICE circuit model are obtained for an incident uniform plane wave that may represent sources such as radio and television transmitters, radars, lightning, etc. The result relies on the transformation of the MTL equations into uncoupled modal lines by similarity transformations. The entries in the similarity transformations are provided for lossless lines. The model is implemented using controlled sources to implement the modal transformations and delay lines to implement the modal lines. If the model is implemented as a SPICE subcircuit model, the time-domain form of the incident field can be implemented as a source external to that subcircuit model so that changes in the line responses due to changes In the incident field waveform can be simulated without changing the subcircuit model. In order to avoid negative line delays, the result is restricted to incident waves having components of the propagation vector in the positive direction along the line. This restriction can be removed by simply reversing the line. The paramount advantages of the model are that both time-domain and frequency-domain results can be easily obtained with the existing SPICE code, and nonlinear loads, such as transistors and digital devices, as well as dynamic loads, such as inductors and capacitors, may be easily incorporated using the existing elements in the SPICE code. Predicted results for MTL's using the method are compared to those of the time-domain to frequency-domain transformation and finite difference-time-domain (FDTD) methods     

Generalized Form of Telegrapher's Equations for the Electromagnetic Field Coupling to Buried Wires of Finite Length

In this paper, a generalized form of telegrapher's equations for electromagnetic field coupling to buried wires is derived. The presented approach is based on thin-wire antenna theory. The effect of a dissipative half-space is taken into account via the reflection/transmission coefficient approximation. The conductor losses can be taken into account via the surface impedance per unit length. The derived equations are treated numerically via the Galerkin–Bubnov indirect boundary element method. Numerical results are presented for induced current along the wire, and compared with transmission-line (TL) and modified TL (MTL) approximations, respectively, for the case of perfectly conducting electrode buried in a lossy medium. It is shown that the TL and MTL approximations can result in an inaccurate induced current distribution along the conductor at HFs and for shorter electrode lengths, respectively.      

非均匀传输线间的串扰研究

应用时域有限差分法对非均匀传输线间的串扰耦合进行分析。基于细线散射的时域有限差分法分析非均匀结构时,采用阶梯式均匀传输线模型,对非均匀传输线进行分段逼近。针对不等长、线径变化、非平行线和交叉线4种情况分析其参数变化对串扰的影响。研究表明：不等长电缆超出部分长度对串扰耦合幅度影响较小,对谐振频率影响较大;电缆线径的变化对其串扰耦合影响较小;非平行线和交叉线的角度对电缆间串扰的影响较大。     

External field coupling to MTL networks with nonlinear junctions:numerical modeling and experimental validation

The problem of predicting the voltages and currents induced on a printed circuit multiconductor transmission line (MTL) network by an impinging transient plane wave electromagnetic field is considered. The MTL network contains nonlinear circuit elements and test cases with various dielectric substrates are examined. Numerical predictions based on quasi-TEM models of the MTL and modified nodal analysis (MNA) models of the lumped element junctions are compared to experimental results obtained in the time domain using a GTEM cell. As has been done in the past, the effect of the incident plane wave is introduced as forcing functions in the MTL equations. The primary goal of this paper is to quantify the accuracy of the various commonly used quasi-TEM mathematical time-domain models. It is shown that when modeling the forcing function terms, it is important to take into account the perturbation of the incident plane wave due to the dielectric substrate. (The experimental-numerical comparisons herein are shown for the case of end-fire illumination since it best demonstrates this point.) Neglecting the dielectric effect on the incident transient pulse, even for substrates with low dielectric constant, produces poor results     

非线性负载简化模型及其应用

为实现复杂网络电磁脉冲（electromagnetic pulse，EMP）耦合分析，针对非线性负载引起的分析效率和收敛性问题，提出了非线性负载精简建模方法，即将多项式表示的非线性关系用压控元件代替，指定器件动作时间表示开关响应时间，忽略温度等不必要参数，减少模型元器件个数等.采用该方法建立了气体放电管（gas discharge tube，GDT）和金属氧化物变阻器（metal oxide varistors，MOV）的精简SPICE（simulation program with integrated circuit emphasis）模型，并且用3种不同类型的脉冲激励端接非线性负载的传输线，进行了收敛性和仿真效率分析.结果表明，GDT和MOV的简化模型能够很好收敛，MOV的模型分析效率提高约30%，GDT的模型分析效率稍有劣化，但完全避免了理想开关元器件的使用，与实际器件的工作原理一致.这些建模方法具有较强的普适性，可以移植到其他非线性负载的建模上，例如与线缆耦合的精简计算模型相结合，从而提高超大系统的电磁兼容（electromagnetic compatibility，EMC）设计与评估效率.