DocumentCode :
887982
Title :
Passivity Verification in Delay-Based Macromodels of Multiconductor Electrical Interconnects
Author :
Chen, Changzhong ; Gad, Emad ; Nakhla, Michel ; Achar, Ramachandra
Author_Institution :
Carleton Univ., Ottawa
Volume :
30
Issue :
2
fYear :
2007
fDate :
5/1/2007 12:00:00 AM
Firstpage :
246
Lastpage :
256
Abstract :
This paper presents a generalized theory of passivity verification in delay-based macromodels for multiconductor transmission line networks generated using the method of characteristics (MoCs). We demonstrate that the passivity in an MoC macro-model is equivalent to the nonnegative definiteness in the admittance matrices of two submodels. We then provide the necessary and sufficient conditions for each submodel to have a nonnegative definite admittance matrix. The presented theory develops an algebraic test to verify the passivity in MoC macromodels. Numerical results demonstrate the validity of the proposed theory.
Keywords :
electric admittance; integrated circuit interconnections; matrix algebra; multiconductor transmission lines; admittance matrices; delay-based macromodels; method of characteristics; multiconductor electrical interconnects; multiconductor transmission line networks; passivity verification; Admittance; Circuit simulation; Delay; Frequency; Integrated circuit interconnections; Power system transients; Sufficient conditions; Time domain analysis; Transmission line matrix methods; Transmission line theory; Delay systems; high-speed interconnects; method of characteristics; passivity; positive-realness;
fLanguage :
English
Journal_Title :
Advanced Packaging, IEEE Transactions on
Publisher :
ieee
ISSN :
1521-3323
Type :
jour
DOI :
10.1109/TADVP.2007.895610
Filename :
4214894
Link To Document :
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