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Equipotential shells for efficient partial inductance extraction
Date
1998-01-01
Author
Beattie, M
Alatan, Lale
Pileggi, L
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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The shift-truncate potential method was introduced as an approach to sparsify the partial inductance matrix while maintaining the stability and symmetry. This was accomplished with the use of spherical return shells around point-like current segments. In this paper we propose the use of filament current distributions for the same purpose. Ellipsoidal shells are introduced to model the equipotential surfaces for filament currents. Importantly, we prove that the positive definiteness of the resulting sparse partial inductance matrix is preserved for this and all other potential-shell models when the compensating currents are placed on equipotential surfaces of the original current distribution. The utility and efficiency of this ellipsoidal shell partial inductance approximation are demonstrated for both on-chip and system-level extraction examples.
Subject Keywords
Inductance
,
Sparse matrices
,
Stability
,
Current distribution
,
Ellipsoids
,
Equations
,
System-on-a-chip
,
Roundoff errors
,
Robustness
,
Contracts
URI
https://hdl.handle.net/11511/48420
DOI
https://doi.org/10.1109/iedm.1998.746360
Collections
Department of Electrical and Electronics Engineering, Conference / Seminar