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A Criterion on Existence and Uniqueness of Behavior in Electric Circuit

International Journal of Electrical and Computer Engineering (IJECE) · Vol. 6 No. 4 (2016)

DOI
10.11591/ijece.v6i4.10704
ISSN
2088-8708, 2088-8708
Published
2016-08-01
Publisher
Institute of Advanced Engineering and Science
License
creativecommons.org/licenses/by-nc-nd/4.0

Abstract

Behavior of electric circuits can be observed by solving circuit equations symbolically as well as numerically. In general, symbolic computation for circuits with certain number of circuit elements needs much more time than numerical computation. It is reasonable to check the existence and uniqueness of the solution to circuit equations beforehand in order to avoid computation for the case of no solution. Indeed, some circuits have no solution; in that case, one should notice it and avoid to wait meaningless computation. This paper proposes a new theorem to check whether given circuit equations have a solution and their voltages and currents of all circuit elements are uniquely determined or not. The theorem is suitable for developing a computer algorithm and helps quick symbolic computation for electric circuits.

Collaboration network of the authors

24 authors · 60 co-authorship links · 5 across different organisations

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • University of Brawijaya
  • University of Miyazaki
  • National Institute of Technology, Nara College
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Kazuya YamaguchiAffiliation unknown4
Kenichi IidaNational Institute of Technology, Nara College3
Achmad BasukiUniversity of Brawijaya2
Edita Rosana WidasariUniversity of Brawijaya2
Barlian Henryranu PrasetioUniversity of Brawijaya2
Kazuma OnishiNational Institute of Technology, Nara College2
Kazuya YamaguchiAffiliation unknown2
Lunde ArdhentaUniversity of Miyazaki2
Wijaya KurniawanUniversity of Brawijaya1
Gembong Edhi SetyawanUniversity of Brawijaya1
Khafidzun FadliUniversity of Brawijaya1
Hawwin Purnama AkbarUniversity of Brawijaya1
Ryzaldi Ananda FabianaUniversity of Brawijaya1
Syahrul ChilmiUniversity of Brawijaya1
Dahnial SyauqyUniversity of Brawijaya1
Septiyo Budi PerkasaUniversity of Brawijaya1
Hurriyatul FitriyahUniversity of Brawijaya1
Agung Setia BudiUniversity of Brawijaya1
Rizal MaulanaUniversity of Brawijaya1
Rakhmadhany PrimanandaUniversity of Brawijaya1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

This record comes from Crossref (what the publisher deposited), because the journal's own OAI-PMH endpoint could not be harvested.

Metadata source: Crossref API (cadangan, berdasarkan ISSN) https://api.crossref.org/journals/2088-8708/works, first harvested 27 Okt 2026, last seen 27 Okt 2026.
Metadata as oai_dc, converted from Crossref
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/"><dc:title>A Criterion on Existence and Uniqueness of Behavior in Electric Circuit</dc:title><dc:creator>Hirata, Takuya</dc:creator><dc:creator>Setiawan, Eko</dc:creator><dc:creator>Yamaguchi, Kazuya</dc:creator><dc:creator>Hodaka, Ichijo</dc:creator><dc:description>&lt;jats:p&gt;&amp;lt;p&amp;gt;Behavior of electric circuits can be observed by solving circuit equations symbolically as well as numerically. In general, symbolic computation for circuits with certain number of circuit elements needs much more time than numerical computation. It is reasonable to check the existence and uniqueness of the solution to circuit equations beforehand in order to avoid computation for the case of no solution. Indeed, some circuits have no solution; in that case, one should notice it and avoid to wait meaningless computation. This paper proposes a new theorem to check whether given circuit equations have a solution and their voltages and currents of all circuit elements are uniquely determined or not. The theorem is suitable for developing a computer algorithm and helps quick symbolic computation for electric circuits.&amp;lt;/p&amp;gt;&lt;/jats:p&gt;</dc:description><dc:publisher>Institute of Advanced Engineering and Science</dc:publisher><dc:date>2016-08-01</dc:date><dc:type>info:eu-repo/semantics/article</dc:type><dc:format>application/pdf</dc:format><dc:identifier>https://doi.org/10.11591/ijece.v6i4.10704</dc:identifier><dc:identifier>10.11591/ijece.v6i4.10704</dc:identifier><dc:source>International Journal of Electrical and Computer Engineering (IJECE); Vol 6 No 4 (2016); 1529</dc:source><dc:source>2088-8708</dc:source><dc:source>2088-8708</dc:source><dc:relation>http://www.iaescore.com/journals/index.php/IJECE/article/viewFile/719/648</dc:relation><dc:rights>http://creativecommons.org/licenses/by-nc-nd/4.0</dc:rights></oai_dc:dc>