An Unconditional Stable 1d-FDTD Method for Modeling Transmission Lines Based on Precise Split-Step Scheme

Abstract

Abstract-This paper presented a novel unconditional stable FDTD (US-FDTD) algorithm for solving the transient response of uniform or nonuniform multiconductor transmission line with arbitrary coupling status. Analytical proof of unconditional stability and detailed analysis of numerical dispersion are presented. The precise split-time-step scheme has been introduced to eliminate the restriction of the CourantFriedrich-Levy (CFL) condition. Compared to the conventional US-FDTD methods, the proposed approach generally achieves lower phase velocity error for coarse temporal resolution. So larger time scales can be chosen for the transient simulation to achieve accurate results efficiently. Several examples of coupled uniform and nonuniform lines are presented to demonstrate the accuracy, stability, and efficiency of the proposed model.

A Novel Field-Line-Circuit Hybrid Algorithm for Transient Responses Prediction of Transmission Lines Based on FDTD Method

“…However, the efficiency and stability of TDIE method are questionable. [10] presented a modified FDTD method for solving the transient responses of multi-conductor transmission line, and [11] proposed a technique to express coaxial cables for FDTD-based surge simulations. The modified FDTD methods in [10] and [11] were all verified accurately and efficiently, but they did not take external fields into account.…”

“…In the past years, there are a lot of researches focusing on the EMC effects of various electronic information systems [7][8][9][10][11][12][13][14][15][16][17], including prediction methods, design, protections, etc. In [7], Baum firstly decomposed an entire complex electronic information system into a few small areas by using the concept of electromagnetic topology, and then the whole simulation was carried out in independent parts.…”

Parallel Implementation and Application of the MRTD With an Efficient CFS-PML

“…The Multi-Resolution Time-Domain (MRTD) technique was first published in 1996 by Krumpholz and Katehi [1,2], and has been developed rapidly as an efficient numerical algorithm in the timedomain like the long established Finite Difference Time-Domain (FDTD) technique [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] and other time-domain methods [18][19][20]. As the dispersion of the MRTD scheme compared to the conventional FDTD scheme shows an excellent capability to approximate the exact solution with negligible error for sampling rates approaching the Nyquist limit, it becomes possible that larger targets can be simulated without sacrificing accuracy.…”

Reduction of Numerical Dispersion of Adi-FDTD Method With Quasi Isotropic Spatial Difference Scheme

“…Wang et al [16] proposed a parameter-optimized (PO) ADI-FDTD method with two additional coefficients, and subsequently, Fu and Tan [17] extended this method with (2,4) stencil. Similarly, a dispersion-optimized (DO) ADI-FDTD method [18] with several controlling parameters was presented.…”

“…The finite-difference-time-domain (FDTD) method and its enhanced methods [1][2][3][4][5][6][7][8] are widely used in modeling electromagnetic problems due to their simpleness in updating equations and easiness in numerical implementation [9][10][11][12][13][14]. Constrained by the Courant-Friedrichs-Lewy (CFL) condition, however, its maximum time step is limited by the minimum cell size, which seriously affects its computational efficiency when fine meshes are required in the object under analysis [15].…”