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

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

Research output: Contribution to journalArticle

77 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)2-9
Number of pages8
JournalIEEE Transactions on Electromagnetic Compatibility
Issue number1
Publication statusPublished - Feb 1 2005



  • Cavity-mode model
  • Closed-form expression for fast calculation
  • Power bus impedance
  • Power bus resonance

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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