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Inductive effect becomes important for on-chip global interconnects, like Power/Ground (P/G) grid. Partial reluctance (the inverse of partial inductance) has been accepted to model inductive effect, for its local property. In this paper, a new method which makes full use of the structure regularity of P/G grid is proposed. With a reuse scheme and carefully handling of boundary effect, the proposed...
Partial reluctance based circuit analysis is efficient in capturing on-chip inductance effect, for its better locality than the partial inductance. But few previous works on reluctance extraction took the high frequency effect into account or were efficient enough for 3D complex structure. In this paper, a new reluctance extraction algorithm is presented considering the high frequency effect. Numerical...
A direct boundary element method (BEM) was recently proposed for inductance extraction. Though faster than other volume integral methods, it still suffers from as many as 7N unknowns where N is the number of panels. A mixed BEM for inductance extraction is proposed in this paper, which combines indirect boundary integral equations (BIEs) of double layer potentials within conductors and direct BIEs...
A complete multiple reciprocity method (CMRM), usually for the eigenvalue analysis of Helmholtz equation, is introduced to the BEM for frequency-dependent inductance extraction. Several approaches are proposed to resolve the problem of "ill-conditioned" series encountered when applying the CMRM practically. Using the BEM combined with CMRM, the major operations of calculating the numerical...
This paper describes a simplified hybrid method to calculate the frequency-dependent inductances of transmission lines, which combines cross-section coupled circuit method with boundary element method (BEM) just solving Laplace's equation. The coupled circuit method is used to calculate inductance in low frequency range; The BEM builds the capacitance matrix, then we invert this matrix (omit the row...
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