IEICE Transactions on Electronics
Online ISSN : 1745-1353
Print ISSN : 0916-8524
Special Section on Circuits and Design Techniques for Advanced Large Scale Integration
Generating Stable and Sparse Reluctance/Inductance Matrix under Insufficient Discretization
Yuichi TANJITakayuki WATANABE
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ジャーナル 認証あり

2010 年 E93.C 巻 3 号 p. 379-387

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抄録
This paper presents generating stable and sparse reluctance/inductance matrix from the inductance matrix which is extracted under insufficient discretization. To generate the sparse reluctance matrix with guaranteed stability, the original matrix has to be (strictly) diagonally dominant M matrix. Hence, the repeated inductance extractions with a smaller grid size are necessary in order to obtain the well-defined matrix. Alternatively, this paper provides some ideas for generating the sparse reluctance matrix, even if the extracted reluctance matrix is not diagonally dominant M matrix. These ease the extraction tasks greatly. Furthermore, the sparse inductance matrix is also generated by using double inverse methods. Since reluctance components are not still supported in SPICE-like simulators, generating the sparse inductance matrix is more useful than the sparse reluctance one.
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© 2010 The Institute of Electronics, Information and Communication Engineers
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