Title :
Fast Delay-Less Interconnect Macromodeling And Simulation by Assumption of a Constant Eigenvector Matrix
Author_Institution :
SINTEF Energy Res., Trondheim
Abstract :
This paper applies a constant, real modal transformation matrix to delay-less rational modeling of multi-conductor interconnects. The modeling boils down to fitting and passivity enforcement of eigenvalues rather than the full admittance matrix, thereby giving an efficient and robust approach. Usage of vector fitting (VF) with inverse magnitude weighting gives a high relative accuracy of the eigenvalues, similarly as with Modal Vector Fitting (MVF). The modal formulation is included in the time domain simulation, leading to very fast computations, compared to a pole-residue model. For the two investigated four-conductor interconnect examples, the error incurred by the assumption a constant transformation matrix is small.
Keywords :
eigenvalues and eigenfunctions; time-domain analysis; transmission line matrix methods; constant eigenvector matrix; fast delay-less interconnect macromodeling; inverse magnitude weighting; modal transformation matrix; modal vector fitting; time domain simulation; Admittance; Computational modeling; Delay; Eigenvalues and eigenfunctions; Frequency; Matrix decomposition; Power system interconnection; Power system modeling; Power system simulation; Transmission line matrix methods;
Conference_Titel :
Signal Propagation on Interconnects, 2008. SPI 2008. 12th IEEE Workshop on
Conference_Location :
Avignon
Print_ISBN :
978-1-4244-2317-0
Electronic_ISBN :
978-1-4244-2318-7
DOI :
10.1109/SPI.2008.4558386