Equipotential shells for efficient partial inductance extraction

Date

1998-01-01

Author

Beattie, M
Alatan, Lale
Pileggi, L

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

108
views

0
downloads

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

Suggestions

OpenMETU
Core

Equipotential shells for efficient inductance extraction Beattie, M; Krauter, B; Alatan, Lale; Pileggi, L (2001-01-01) To make three-dimensional (3-D) on-chip interconnect inductance extraction tractable, it is necessary to ignore parasitic couplings without compromising critical properties of the interconnect system. It is demonstrated that simply discarding faraway mutual inductance couplings can lead to an unstable approximate inductance matrix. In this paper, we describe an equipotential shell methodology, which generates a partial inductance matrix that is sparse yet stable and symmetric. We prove the positive definite...
Two dimensional finite volume weighted essentially non-oscillatory euler schemes with different flux algorithms Aktürk, Ali; Akmandor, İbrahim Sinan; Department of Aerospace Engineering (2005) The purpose of this thesis is to implement Finite Volume Weighted Essentially Non-Oscillatory (FV-WENO) scheme to solution of one and two-dimensional discretised Euler equations with different flux algorithms. The effects of the different fluxes on the solution have been tested and discussed. Beside, the effect of the grid on these fluxes has been investigated. Weighted Essentially Non-Oscillatory (WENO) schemes are high order accurate schemes designed for problems with piecewise smooth solutions that invol...
Symplectic and multi-symplectic methods for coupled nonlinear Schrodinger equations with periodic solutions Aydin, A.; Karasoezen, B. (Elsevier BV, 2007-10-01) We consider for the integration of coupled nonlinear Schrodinger equations with periodic plane wave solutions a splitting method from the class of symplectic integrators and the multi-symplectic six-point scheme which is equivalent to the Preissman scheme. The numerical experiments show that both methods preserve very well the mass, energy and momentum in long-time evolution. The local errors in the energy are computed according to the discretizations in time and space for both methods. Due to its local nat...
Decomposing perfect discrete Morse functions on connected sum of 3-manifolds Kosta, Neza Mramor; Pamuk, Mehmetcik; Varli, Hanife (2019-06-15) In this paper, we show that if a closed, connected, oriented 3-manifold M = M-1 # M-2 admits a perfect discrete Morse function, then one can decompose this function as perfect discrete Morse functions on M-1 and M-2. We also give an explicit construction of a separating sphere on M corresponding to such a decomposition.
Forward-backward domain decomposition method for finite element solution of electromagnetic boundary value problems Ozgun, Ozlem; Kuzuoğlu, Mustafa (Wiley, 2007-10-01) We introduce the forward-backward domain decomposition method (FB-DDM), which is basically an improved version of the classical alternating Schwarz method with overlapping subdomains,for electromagnetic, boundary value problems. The proposed method is non-iterative in some cases involving smooth geometries, or it usually converges in a few iterations in other cases involving challenging geometries, via the utilization of the locally-conformal PML method. We report some numerical results for two- dimensional...

Citation Formats

M. Beattie, L. Alatan, and L. Pileggi, “Equipotential shells for efficient partial inductance extraction,” 1998, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48420.