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Publisher DOI: 10.1109/TEMC.2022.3204778
Title: A waveform relaxation solver for transient simulation of large-scale nonlinearly loaded shielding structures
Language: English
Authors: Stefano, Marco de 
Wendt, Torben 
Yang, Cheng 
Grivet-Talocia, Stefano 
Schuster, Christian 
Keywords: Behavioral sciences; Circuit simulation; Convergence; Electromagnetics; field circuit coupling; large-scale systems; Load modeling; macromodeling; Mathematical models; nonlinear circuits; SPICE; Transient analysis; waveform relaxation
Issue Date: 22-Sep-2022
Publisher: IEEE
Source: IEEE Transactions on Electromagnetic Compatibility 64 (6): 2042-2054 (2022-12)
Abstract (english): 
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.
DOI: 10.15480/882.4850
ISSN: 0018-9375
Journal: IEEE transactions on electromagnetic compatibility 
Institute: Theoretische Elektrotechnik E-18 
Document Type: Article
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
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