On the model order reduction using self-adjoint Lanczos algorithm

カテゴリ: 部門大会

論文No: SS2-4

グループ名: 【C】平成29年電気学会電子・情報・システム部門大会講演論文集

発行日: 2017/09/06

タイトル(英語): On the model order reduction using self-adjoint Lanczos algorithm

著者名: 比留間 真悟(北海道大学),五十嵐 一(北海道大学)

著者名(英語): Shingo Hiruma|Hajime Igarashi

要約(日本語): We introduce a new algorithm for deriving the continued fraction from a given transfer function using self-adjoint Lanczos algorithm. A Cauer equivalent circuit is directly synthesized from the system equation by this method because the continued fraction corresponds to the Cauer circuit. In the conventional method based on the Pad? via Lanczos algorithm, the transfer function is approximately represented by the rational function. Therefore, to obtain the Cauer circuit, it is necessary to compute the continued fraction expansion of the rational function. Using the proposed method, the Cauer circuit can be synthesized directly from the system equation. In the presentation, we discuss application of the proposed method to the finite element equation of electromagnetic fields.

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