Convergence of the Resistive Coupling-Based Waveform Relaxation Method for Chains of Identical and Symmetric Circuits

Menkad, Tarik; Dounavis, A.

doi:10.1109/tcsi.2021.3111106

Cited by 1 publication

(2 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These are used to define the appropriate initial conditions for the successive outer iteration on the time windows. Such initial conditions are defined by extracting both state variables and port variables at the last time step (lines [20][21][22]. At the end of the time windowing iterations, all samples of converged signals are collected and returned on output.…”

Section: Time-windowed Wr-ngmres Iterationsmentioning

confidence: 99%

“…Building on the decoupling between linear electromagnetic and lumped nonlinear blocks [13], a natural approach is to apply a waveform relaxation (WR) algorithm [17], [18], that starting from an initial estimate of the transient port signals to be computed over a given time interval, iteratively refines such estimates until convergence. The procedure stabilizes if the iteration operator is a contraction, regardless of the selected formulation [18], [19], [20], [21]; the number of iterations can be reduced by optimizing the WR decoupling parameters [22], [23], [24]. A general procedure that allows such optimizations is the definition of some reference impedance level, used to build the decoupling network so that exchange of signals between iterations is performed through equivalent scattering waves referenced to this optimal impedance.…”

mentioning

confidence: 99%

See 1 more Smart Citation

A Waveform Relaxation Solver for Transient Simulation of Large-Scale Nonlinearly Loaded Shielding Structures

Stefano

Wendt

Yang

et al. 2022

IEEE Trans. Electromagn. Compat.

View full text Add to dashboard Cite

This article introduces an algorithm for transient simulation of electromagnetic structures loaded by lumped nonlinear devices. The reference application is energy-selective shielding, which adopts clipping devices uniformly spread along shield apertures to achieve a shielding effectiveness that increases with the power of the incident field, thereby blocking high-power interference while allowing low-power communication. Transient simulation of such structures poses a number of challenges, related to their large-scale and low-loss nature. In this work, we propose a waveform relaxation (WR) scheme based on decoupling the linear electromagnetic structure from its nonlinear terminations. In a preprocessing stage, the electromagnetic subsystem is characterized in the frequency domain and converted into a behavioral rational macromodel. Transient simulation is performed by refining estimates of the port signals through iterations. The proposed scheme combines a time partitioning approach with an inexact Newton-Krylov solver. This combination provides fast convergence also in those cases where standard WR schemes fail due to a strong mismatch at the decoupling sections. Numerical results on several test cases of increasing complexity with up to 1024 ports show that the proposed approach proves as reliable as HSPICE in terms of accuracy, with a speedup ranging from one to three orders of magnitude.

show abstract

Section: Time-windowed Wr-ngmres Iterationsmentioning

confidence: 99%