The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Este artigo apresenta a geração de matriz de relutância/indutância estável e esparsa a partir da matriz de indutância que é extraída sob discretização insuficiente. Para gerar a matriz de relutância esparsa com estabilidade garantida, a matriz original deve ser uma matriz M diagonalmente dominante (estritamente). Portanto, extrações repetidas de indutância com tamanho de grade menor são necessárias para obter a matriz bem definida. Alternativamente, este artigo fornece algumas idéias para gerar a matriz de relutância esparsa, mesmo que a matriz de relutância extraída não seja uma matriz M diagonalmente dominante. Isso facilita muito as tarefas de extração. Além disso, a matriz de indutância esparsa também é gerada usando métodos inversos duplos. Como os componentes de relutância ainda não são suportados em simuladores do tipo SPICE, gerar a matriz de indutância esparsa é mais útil do que a matriz de relutância esparsa.
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Yuichi TANJI, Takayuki WATANABE, "Generating Stable and Sparse Reluctance/Inductance Matrix under Insufficient Discretization" in IEICE TRANSACTIONS on Electronics,
vol. E93-C, no. 3, pp. 379-387, March 2010, doi: 10.1587/transele.E93.C.379.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E93.C.379/_p
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@ARTICLE{e93-c_3_379,
author={Yuichi TANJI, Takayuki WATANABE, },
journal={IEICE TRANSACTIONS on Electronics},
title={Generating Stable and Sparse Reluctance/Inductance Matrix under Insufficient Discretization},
year={2010},
volume={E93-C},
number={3},
pages={379-387},
abstract={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.},
keywords={},
doi={10.1587/transele.E93.C.379},
ISSN={1745-1353},
month={March},}
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TY - JOUR
TI - Generating Stable and Sparse Reluctance/Inductance Matrix under Insufficient Discretization
T2 - IEICE TRANSACTIONS on Electronics
SP - 379
EP - 387
AU - Yuichi TANJI
AU - Takayuki WATANABE
PY - 2010
DO - 10.1587/transele.E93.C.379
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E93-C
IS - 3
JA - IEICE TRANSACTIONS on Electronics
Y1 - March 2010
AB - 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.
ER -