Active Circuits With Diodes: Topological Conditions Sufficient to Determine the State of a Diode
Let N be a circuit composed of a finite number of positive and negative linear resistors, ideal diodes, nullators, norators and independent current and voltage sources. In this article, we consider the problem to determine, without any numerical computation, the state of a diode of N . We propose...
Gespeichert in:
| Veröffentlicht in: | IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2021-01, Vol.68 (1), p.35-44 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 44 |
|---|---|
| container_issue | 1 |
| container_start_page | 35 |
| container_title | IEEE transactions on circuits and systems. I, Regular papers |
| container_volume | 68 |
| creator | Ciampa, Maurizio |
| description | Let N be a circuit composed of a finite number of positive and negative linear resistors, ideal diodes, nullators, norators and independent current and voltage sources. In this article, we consider the problem to determine, without any numerical computation, the state of a diode of N . We propose a set of topological conditions such that, when verified by a diode of N , the state of the diode is determined and the same in all the solutions of N . Our results may simplify, sometimes dramatically, the usual trial-and-error procedure to find the solutions of N . |
| doi_str_mv | 10.1109/TCSI.2020.3022414 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_RIE</sourceid><recordid>TN_cdi_proquest_journals_2477252171</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>9198095</ieee_id><sourcerecordid>2477252171</sourcerecordid><originalsourceid>FETCH-LOGICAL-c245t-d1b95bdfd9c58aff0a7b3238f3306fba17af8b618c3b0229c24c2f36d81dcd453</originalsourceid><addsrcrecordid>eNo9kMtOwzAQRS0EEqXwAYiNJdYpfsSJza5KeVSqxKJFLIPjB3XVxsV2kPh7EqViNbO4547mAHCL0QxjJB421Xo5I4igGUWE5Dg_AxPMGM8QR8X5sOci45TwS3AV4w4hIhDFE_A5V8n9GFi5oDqXIvxwaQsXzmsTH-HGH_3efzkl97DyrXbJ-TbCdWetU860CSYPFyaZcHCtgWlr4DrJZKC3UI4t1-DCyn00N6c5Be_PT5vqNVu9vSyr-SpTJGcp07gRrNFWC8W4tBbJsqGEckspKmwjcSktbwrMFW36B0VPKWJpoTnWSueMTsH92HsM_rszMdU734W2P1mTvCwJI7jEfQqPKRV8jMHY-hjcQYbfGqN6EFkPIutBZH0S2TN3I-OMMf95gQVHgtE_0ElvMg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2477252171</pqid></control><display><type>article</type><title>Active Circuits With Diodes: Topological Conditions Sufficient to Determine the State of a Diode</title><source>IEEE Electronic Library (IEL)</source><creator>Ciampa, Maurizio</creator><creatorcontrib>Ciampa, Maurizio</creatorcontrib><description><![CDATA[Let <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula> be a circuit composed of a finite number of positive and negative linear resistors, ideal diodes, nullators, norators and independent current and voltage sources. In this article, we consider the problem to determine, without any numerical computation, the state of a diode of <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula>. We propose a set of topological conditions such that, when verified by a diode of <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula>, the state of the diode is determined and the same in all the solutions of <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula>. Our results may simplify, sometimes dramatically, the usual trial-and-error procedure to find the solutions of <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula>.]]></description><identifier>ISSN: 1549-8328</identifier><identifier>EISSN: 1558-0806</identifier><identifier>DOI: 10.1109/TCSI.2020.3022414</identifier><identifier>CODEN: ITCSCH</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Active circuits ; Circuits ; Complexity theory ; dc~analysis ; Diodes ; ideal diodes ; Indexes ; Linear circuits ; Nonlinear circuits ; Numerical analysis ; piecewise linear circuits ; Resistance ; resistive circuits ; Resistors ; topological conditions ; Topology</subject><ispartof>IEEE transactions on circuits and systems. I, Regular papers, 2021-01, Vol.68 (1), p.35-44</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2021</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c245t-d1b95bdfd9c58aff0a7b3238f3306fba17af8b618c3b0229c24c2f36d81dcd453</cites><orcidid>0000-0002-0077-5020</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/9198095$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/9198095$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Ciampa, Maurizio</creatorcontrib><title>Active Circuits With Diodes: Topological Conditions Sufficient to Determine the State of a Diode</title><title>IEEE transactions on circuits and systems. I, Regular papers</title><addtitle>TCSI</addtitle><description><![CDATA[Let <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula> be a circuit composed of a finite number of positive and negative linear resistors, ideal diodes, nullators, norators and independent current and voltage sources. In this article, we consider the problem to determine, without any numerical computation, the state of a diode of <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula>. We propose a set of topological conditions such that, when verified by a diode of <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula>, the state of the diode is determined and the same in all the solutions of <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula>. Our results may simplify, sometimes dramatically, the usual trial-and-error procedure to find the solutions of <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula>.]]></description><subject>Active circuits</subject><subject>Circuits</subject><subject>Complexity theory</subject><subject>dc~analysis</subject><subject>Diodes</subject><subject>ideal diodes</subject><subject>Indexes</subject><subject>Linear circuits</subject><subject>Nonlinear circuits</subject><subject>Numerical analysis</subject><subject>piecewise linear circuits</subject><subject>Resistance</subject><subject>resistive circuits</subject><subject>Resistors</subject><subject>topological conditions</subject><subject>Topology</subject><issn>1549-8328</issn><issn>1558-0806</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kMtOwzAQRS0EEqXwAYiNJdYpfsSJza5KeVSqxKJFLIPjB3XVxsV2kPh7EqViNbO4547mAHCL0QxjJB421Xo5I4igGUWE5Dg_AxPMGM8QR8X5sOci45TwS3AV4w4hIhDFE_A5V8n9GFi5oDqXIvxwaQsXzmsTH-HGH_3efzkl97DyrXbJ-TbCdWetU860CSYPFyaZcHCtgWlr4DrJZKC3UI4t1-DCyn00N6c5Be_PT5vqNVu9vSyr-SpTJGcp07gRrNFWC8W4tBbJsqGEckspKmwjcSktbwrMFW36B0VPKWJpoTnWSueMTsH92HsM_rszMdU734W2P1mTvCwJI7jEfQqPKRV8jMHY-hjcQYbfGqN6EFkPIutBZH0S2TN3I-OMMf95gQVHgtE_0ElvMg</recordid><startdate>202101</startdate><enddate>202101</enddate><creator>Ciampa, Maurizio</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-0077-5020</orcidid></search><sort><creationdate>202101</creationdate><title>Active Circuits With Diodes: Topological Conditions Sufficient to Determine the State of a Diode</title><author>Ciampa, Maurizio</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c245t-d1b95bdfd9c58aff0a7b3238f3306fba17af8b618c3b0229c24c2f36d81dcd453</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Active circuits</topic><topic>Circuits</topic><topic>Complexity theory</topic><topic>dc~analysis</topic><topic>Diodes</topic><topic>ideal diodes</topic><topic>Indexes</topic><topic>Linear circuits</topic><topic>Nonlinear circuits</topic><topic>Numerical analysis</topic><topic>piecewise linear circuits</topic><topic>Resistance</topic><topic>resistive circuits</topic><topic>Resistors</topic><topic>topological conditions</topic><topic>Topology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ciampa, Maurizio</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>IEEE transactions on circuits and systems. I, Regular papers</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Ciampa, Maurizio</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Active Circuits With Diodes: Topological Conditions Sufficient to Determine the State of a Diode</atitle><jtitle>IEEE transactions on circuits and systems. I, Regular papers</jtitle><stitle>TCSI</stitle><date>2021-01</date><risdate>2021</risdate><volume>68</volume><issue>1</issue><spage>35</spage><epage>44</epage><pages>35-44</pages><issn>1549-8328</issn><eissn>1558-0806</eissn><coden>ITCSCH</coden><abstract><![CDATA[Let <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula> be a circuit composed of a finite number of positive and negative linear resistors, ideal diodes, nullators, norators and independent current and voltage sources. In this article, we consider the problem to determine, without any numerical computation, the state of a diode of <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula>. We propose a set of topological conditions such that, when verified by a diode of <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula>, the state of the diode is determined and the same in all the solutions of <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula>. Our results may simplify, sometimes dramatically, the usual trial-and-error procedure to find the solutions of <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula>.]]></abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/TCSI.2020.3022414</doi><tpages>10</tpages><orcidid>https://orcid.org/0000-0002-0077-5020</orcidid></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | ISSN: 1549-8328 |
| ispartof | IEEE transactions on circuits and systems. I, Regular papers, 2021-01, Vol.68 (1), p.35-44 |
| issn | 1549-8328 1558-0806 |
| language | eng |
| recordid | cdi_proquest_journals_2477252171 |
| source | IEEE Electronic Library (IEL) |
| subjects | Active circuits Circuits Complexity theory dc~analysis Diodes ideal diodes Indexes Linear circuits Nonlinear circuits Numerical analysis piecewise linear circuits Resistance resistive circuits Resistors topological conditions Topology |
| title | Active Circuits With Diodes: Topological Conditions Sufficient to Determine the State of a Diode |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-03T23%3A50%3A25IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_RIE&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Active%20Circuits%20With%20Diodes:%20Topological%20Conditions%20Sufficient%20to%20Determine%20the%20State%20of%20a%20Diode&rft.jtitle=IEEE%20transactions%20on%20circuits%20and%20systems.%20I,%20Regular%20papers&rft.au=Ciampa,%20Maurizio&rft.date=2021-01&rft.volume=68&rft.issue=1&rft.spage=35&rft.epage=44&rft.pages=35-44&rft.issn=1549-8328&rft.eissn=1558-0806&rft.coden=ITCSCH&rft_id=info:doi/10.1109/TCSI.2020.3022414&rft_dat=%3Cproquest_RIE%3E2477252171%3C/proquest_RIE%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2477252171&rft_id=info:pmid/&rft_ieee_id=9198095&rfr_iscdi=true |