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Article: A practical regularization technique for modified nodal analysis in large-scale time-domain circuit simulation
Title | A practical regularization technique for modified nodal analysis in large-scale time-domain circuit simulation |
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Authors | |
Keywords | Explicit Method Graph Theory Index Reduction Modified Nodal Analysis (MNA) Singular Matrix |
Issue Date | 2012 |
Publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=43 |
Citation | IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2012, v. 31 n. 7, p. 1031-1040 How to Cite? |
Abstract | Fast full-chip time-domain simulation calls for advanced numerical integration techniques with capability to handle the systems with (tens of) millions of variables resulting from the modified nodal analysis (MNA). General MNA formulation, however, leads to a differential algebraic equation (DAE) system with singular coefficient matrix, for which most of explicit methods, which usually offer better scalability than implicit methods, are not readily available. In this paper, we develop a practical two-stage strategy to remove the singularity in MNA equations of large-scale circuit networks. A topological index reduction is first applied to reduce the DAE index of the MNA equation to one. The index-1 system is then fed into a systematic process to eliminate excess variables in one run, which leads to a nonsingular system. The whole regularization process is devised with emphasis on exact equivalence, low complexity, and sparsity preservation, and is thus well suited to handle extremely large circuits. © 2012 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/174230 |
ISSN | 2023 Impact Factor: 2.7 2023 SCImago Journal Rankings: 0.957 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Chen, Q | en_US |
dc.contributor.author | Weng, SH | en_US |
dc.contributor.author | Cheng, CK | en_US |
dc.date.accessioned | 2012-11-22T02:00:04Z | - |
dc.date.available | 2012-11-22T02:00:04Z | - |
dc.date.issued | 2012 | en_US |
dc.identifier.citation | IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2012, v. 31 n. 7, p. 1031-1040 | en_US |
dc.identifier.issn | 0278-0070 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/174230 | - |
dc.description.abstract | Fast full-chip time-domain simulation calls for advanced numerical integration techniques with capability to handle the systems with (tens of) millions of variables resulting from the modified nodal analysis (MNA). General MNA formulation, however, leads to a differential algebraic equation (DAE) system with singular coefficient matrix, for which most of explicit methods, which usually offer better scalability than implicit methods, are not readily available. In this paper, we develop a practical two-stage strategy to remove the singularity in MNA equations of large-scale circuit networks. A topological index reduction is first applied to reduce the DAE index of the MNA equation to one. The index-1 system is then fed into a systematic process to eliminate excess variables in one run, which leads to a nonsingular system. The whole regularization process is devised with emphasis on exact equivalence, low complexity, and sparsity preservation, and is thus well suited to handle extremely large circuits. © 2012 IEEE. | en_US |
dc.language | eng | en_US |
dc.publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=43 | - |
dc.relation.ispartof | IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems | en_US |
dc.subject | Explicit Method | en_US |
dc.subject | Graph Theory | en_US |
dc.subject | Index Reduction | en_US |
dc.subject | Modified Nodal Analysis (MNA) | en_US |
dc.subject | Singular Matrix | en_US |
dc.title | A practical regularization technique for modified nodal analysis in large-scale time-domain circuit simulation | en_US |
dc.type | Article | en_US |
dc.identifier.email | Chen, Q: q1chen@hku.hk | en_US |
dc.identifier.authority | Chen, Q=rp01688 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1109/TCAD.2012.2184761 | en_US |
dc.identifier.scopus | eid_2-s2.0-84862642884 | en_US |
dc.identifier.hkuros | 222536 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-84862642884&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 31 | en_US |
dc.identifier.issue | 7 | en_US |
dc.identifier.spage | 1031 | en_US |
dc.identifier.epage | 1040 | en_US |
dc.identifier.isi | WOS:000305625700005 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Chen, Q=18133382800 | en_US |
dc.identifier.scopusauthorid | Weng, SH=36104767300 | en_US |
dc.identifier.scopusauthorid | Cheng, CK=7404797875 | en_US |
dc.identifier.issnl | 0278-0070 | - |