Convergence acceleration and accuracy improvement in power bus impedance calculation with a fast algorithm using cavity modes

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 Z matrix of a rectangular power bus structure; this expression was obtained by reduci...

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Bibliographic Details
Published in:IEEE transactions on electromagnetic compatibility 2005-02, Vol.47 (1), p.2-9
Main Authors: Zhi Liang Wang, Wada, O., Toyota, Y., Koga, R.
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
Applied sciences
Approximation
Buses (vehicles)
Cavity-mode model
closed-form expression for fast calculation
Convergence of numerical methods
Electromagnetic compatibility
Electromagnetic interference
Electronic equipment and fabrication. Passive components, printed wiring boards, connectics
Electronics
Exact sciences and technology
Impedance
Infinite series
Information, signal and communications theory
Mathematical analysis
Mathematical models
Matrices
power bus impedance
power bus resonance
Printed circuits
Telecommunications and information theory
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Summary: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 Z 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.
ISSN:0018-9375
1558-187X
DOI:10.1109/TEMC.2004.842205