Modeling of Gapped Power Bus Structures for Isolation Using Cavity Modes and Segmentation

Wang, Zhi Liang; Wada, Osami; Toyota, Yoshitaka; Koga, Ryuji

doi:10.1109/temc.2005.847414

Cited by 43 publications

(21 citation statements)

References 22 publications

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“…In addition, the fast algorithm, together with a segmentation method we previously reported, can be easily applied to more complicated power bus structures whose patterns consist of several segments of rectangles [16], [17] and/or right-angled triangles [18], and is also applicable to via-connected power bus stacks [19].…”

Section: Discussionmentioning

confidence: 99%

Convergence Acceleration and Accuracy Improvement in Power Bus Impedance Calculation With a Fast Algorithm Using Cavity Modes

Wang

Wada

Toyota

et al. 2005

IEEE Trans. Electromagn. Compat.

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Abstract-Based on the cavity-mode model, we have developed a fast algorithm for calculating power bus impedance in multilayer printed circuit boards. The fast algorithm is based on a closed-form expression for the impedance matrix of a rectangular power bus structure; this expression was obtained by reducing the original double infinite series into a single infinite series under an approximation. The convergence of the single series is further accelerated analytically. The accelerated single summation enables much faster computation, since use of only a few terms is enough to obtain good accuracy. In addition, we propose two ways to compensate for the error due to the approximation involved in the process of reducing the double series to the single series, and have demonstrated that these two techniques are almost equivalent.Index Terms-Cavity-mode model, closed-form expression for fast calculation, power bus impedance, power bus resonance.

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Section: Discussionmentioning

confidence: 99%

Convergence Acceleration and Accuracy Improvement in Power Bus Impedance Calculation With a Fast Algorithm Using Cavity Modes

Wang

Wada

Toyota

et al. 2005

IEEE Trans. Electromagn. Compat.

Self Cite

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“…A simpler way for practical applications can be found in Ref. (17). In the segmentation method, the interconnection between the segments is discretized into a finite number of ports, in which continuous voltage and current distributions along the interconnection are approximated by stepped functions.…”

Section: Segmentation Methodsmentioning

confidence: 99%

Efficient Calculation of Power Bus Impedance using a Fast Algorithm Together with a Segmentation Method

et al. 2004

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Power bus noise prediction in multilayer printed circuit boards requires an accurate estimation of the power bus impedance. We have previously developed a fast algorithm for efficiently and accurately calculating the impedance of a rectangular power bus structure, based on a cavity mode model. In this paper, we show that the fast algorithm can also be easily utilized for a right-angled triangular power bus structure. Together with a segmentation method, the fast algorithm can then be extended to calculate the impedances of more complicated power bus structures whose patterns consist of several segments of rectangles and/or rightangled triangles. Fast computation of the S-parameters and good agreement between the calculated results and measurements for various boards demonstrated the efficiency and accuracy of using the fast algorithm together with the segmentation method as a powerful technique to estimate the power bus impedance.

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“…Another strategy to reduce the noise is to control resonances of the PDN by resistive edge termination of the PCB [27,28] or by selecting the location of the via ports in a manner that eliminates certain resonances [29], or employing ferrite beads [30]. Segmentation of the power plane into power islands was also used to decrease ground bounce [31,32] by using the higher impedance of the traces. In [24] it was proposed to etch a trench around the noise source and thus to create an island and to connect it to the rest of the board via inductors.…”

Section: Methods To Reduce Ssnmentioning

confidence: 99%

“…With this arrangement, the high-speed logic has less chance to pollute signal traces. Another strategy of power isolation is to split a power plane into power islands [32], [77]- [78]. As it was mentioned in Section 3.4, noisy components should be placed on separate islands, isolated from the rest of the board by an inductive and/or (small) resistive bridge.…”

Section: Novel Power Plane Geometrymentioning

confidence: 99%

Embedding Electromagnetic Band Gap Structures in Printed Circuit Boards for Electromagnetic Interference Reduction

Tereshchenko¹

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Modeling of Gapped Power Bus Structures for Isolation Using Cavity Modes and Segmentation

Cited by 43 publications

References 22 publications

Convergence Acceleration and Accuracy Improvement in Power Bus Impedance Calculation With a Fast Algorithm Using Cavity Modes

Convergence Acceleration and Accuracy Improvement in Power Bus Impedance Calculation With a Fast Algorithm Using Cavity Modes

Efficient Calculation of Power Bus Impedance using a Fast Algorithm Together with a Segmentation Method

Embedding Electromagnetic Band Gap Structures in Printed Circuit Boards for Electromagnetic Interference Reduction

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