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70 IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, VOL. 20, NO. 1, JANUARY 2001 Equipotential Shells for Efficient Inductance
 

Summary: 70 IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, VOL. 20, NO. 1, JANUARY 2001
Equipotential Shells for Efficient Inductance
Extraction
Michael Beattie, Byron Krauter, Member, IEEE, Lale Alatan, Member, IEEE, and Lawrence Pileggi
Abstract--To make three-dimensional (3-D) on-chip intercon-
nect inductance extraction tractable, it is necessary to ignore para-
sitic couplings without compromising critical properties of the in-
terconnect system. It is demonstrated that simply discarding far-
away mutual inductance couplings can lead to an unstable approx-
imate inductance matrix. In this paper, we describe an equipoten-
tial shell methodology, which generates a partial inductance matrix
that is sparse yet stable and symmetric. We prove the positive def-
initeness of the resulting approximate inductance matrix when the
equipotential shells are properly defined. Importantly, the equipo-
tential shell approach also provably preserves the inductance of
loops if they are enclosed entirely within the shells of their seg-
ments. Methods for sizing the shells to control the accuracy are
presented. To demonstrate the overall efficacy for on-chip extrac-
tion, ellipsoid shells, which are a special case of the general equipo-
tential shell approach, are presented and demonstrated for both

  

Source: Alatan, Lale Hayırlıoğlu - Department of Electrical and Electronics Engineering, Middle East Technical University

 

Collections: Engineering