Circuit Models for the Inductance of Eight-Terminal Decoupling Capacitors

Makharashvili, Tamar; Bai, Siqi; Connor, Samuel; Ruehli, Albert E.; Berger, Phil; Drewniak, James L.; Beetner, Daryl G.

doi:10.1109/tcpmt.2019.2952138

Cited by 6 publications

(3 citation statements)

References 17 publications

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“…This little overhead is paid to have generic formulas (10) and ( 11) that can be used for any combination of values for N x 1 and N x 2 . Indeed, if we consider the case in which 10) to (11), it follows that N T x = 2N x − 1 and p x = 1 that represents the minimum size of the reduced voxelization as clearly can be seen from a simple example with N x 1 = N x 2 = 3 shown in Fig. 4.…”

Section: A Mutual Coupling Products Between Different Components-1-d ...mentioning

confidence: 95%

“…The reduction strategy introduced in Section III-A must be applied now in the xand y-directions. Hence, applying (10) and (11), it follows that the reduced voxelization will have N T x = 9, p x = 3, N T y = 3, and p y = 2 as shown in Fig. 6.…”

Section: B Mutual Coupling Products Between Different Components-2-d ...mentioning

confidence: 99%

“…Since then, it has been developed through a series of remarkable developments over the years, which have made it more robust and reliable [8]. Indeed, it has been used to model EM problems in various fields including power plane-pair [9], [10], decoupling capacitors [11], [12], PCB prelayout power integrity analysis [13], power modules [14], [15], on-chip interconnections [16], shielding [17], and antennas [18], [19].…”

Section: Introductionmentioning

confidence: 99%

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Anisotropic and Optimized FFT-Based Iterative Electromagnetic Solver for the PEEC Method

Romano,

Kovacevic-Badstuebner,

Antonini

et al. 2024

IEEE Trans. Microwave Theory Techn.

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Fast Fourier transform (FFT)-accelerated integralequation-based electromagnetic (EM) simulators have gained attraction for their capability to compute parasitics of arbitrarily shaped and large-scale voxelized structures on a desktop computer. Yet, FFT-based solvers have limitations due to the necessity of using voxels of the same size in all three Cartesian dimensions and suffer in the case of geometries with far-apart objects that require meshing also the air between them, resulting in a huge number of voxels and, thus, of unknowns. This work aims to overcome both these limitations by developing a systematic anisotropic strategy to compute matrix-vector products using the FFT-based approach and to remove the air existing between objects without sacrificing the desirable features of the FFT-based approach. The proposed approach is presented in the framework of the partial element equivalent circuit (PEEC) method, but it is well suited to be used also with other integral equationbased methods. The accuracy, efficiency, and applicability of the proposed anisotropic and optimized FFT (aoFFT)-based PEEC solver are demonstrated in the example of two structures requiring to use voxels of different sizes along the three Cartesian dimensions and with a large portion of air between the objects.

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Section: A Mutual Coupling Products Between Different Components-1-d ...mentioning

confidence: 95%

Section: B Mutual Coupling Products Between Different Components-2-d ...mentioning

confidence: 99%