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Transient simulation based on state variables and waves
Author(s) -
Kabir Muhammad,
Christoffersen Carlos,
Kriplani Nikhil
Publication year - 2011
Publication title -
international journal of rf and microwave computer‐aided engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.335
H-Index - 39
eISSN - 1099-047X
pISSN - 1096-4290
DOI - 10.1002/mmce.20520
Subject(s) - nonlinear system , transient (computer programming) , convergence (economics) , electronic circuit , microwave , computer science , network analysis , relaxation (psychology) , control theory (sociology) , electronic engineering , engineering , physics , electrical engineering , telecommunications , psychology , social psychology , control (management) , quantum mechanics , artificial intelligence , economics , economic growth , operating system
This article reports a new method for transient analysis of nonlinear circuits based on nonlinear device state variables and waves at their ports. The method is based on relaxation and thus does not require large matrix decompositions if time step is constant. The use of waves results in guaranteed convergence for any linear passive circuit and some types of nonlinear circuits. Additionally, the formulation using waves ensures that nonlinear devices are always excited with a physically meaningful input, i.e., the amount of power transmitted to nonlinear devices is bounded. The method was implemented in the fREEDA™ circuit simulator. The formulation, its properties, and a convergence analysis of the proposed method are presented first, followed by case studies. © 2011 Wiley Periodicals, Inc. Int J RF and Microwave CAE , 2011.