Publisher DOI: 10.1109/TEMC.2022.3153114
Title: Iteration Dependent Waveform Relaxation for Hybrid Field Nonlinear Circuit Problems
Language: English
Authors: Wendt, Torben 
De Stefano, Marco 
Yang, Cheng 
Grivet-Talocia, Stefano 
Schuster, Christian 
Keywords: Field circuit coupling; macromodeling; nonlinear circuits; transients; waveform relaxation (WR)
Issue Date: 1-Aug-2022
Source: IEEE Transactions on Electromagnetic Compatibility 64 (4): 1124-1139 (2022-08-01)
Abstract (english): 
This article presents a novel waveform relaxation scheme to solve electromagnetically large structures loaded with lumped linear and nonlinear elements. The scheme partitions the problem into a linear electromagnetic structure and a possibly nonlinear lumped circuit, which are coupled using Thévenin interfaces across the steps of an iterative waveform relaxation scheme. The main novel contribution is an adaptive selection of the decoupling resistances used as port references to define incident and reflected scattering signals, whose time-domain samples are refined through iterations. The decoupling resistances are updated through iterations, with the main objective of improving convergence speed and ultimately runtime. The resulting scheme is self-adapting to terminations exploiting high dynamic range in their impedance profiles and is able to provide a suboptimal convergence rate. Three-dimensional shielding structures loaded with nonlinear elements are employed as numerical examples to demonstrate the proposed method.
ISSN: 0018-9375
Journal: IEEE transactions on electromagnetic compatibility 
Institute: Theoretische Elektrotechnik E-18 
Document Type: Article
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