Mathematical foundations of the TC-method for computing multiple DC-operating points.
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| Title: | Mathematical foundations of the TC-method for computing multiple DC-operating points. |
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| Authors: | Reibiger, A., Mathis, W., Nähring, T., Trajković, Lj. |
| Source: | International Journal of Applied Electromagnetics & Mechanics. 2003, Vol. 17 Issue 1-3, p169. 23p. |
| Subjects: | Nonlinear electric circuits, Electronic circuits, Electric circuits, Direct currents, Electric networks |
| Abstract: | In this paper, we present a detailed mathematical analysis of nonlinear resistive networks with multiple dc-operating points. In our approach, we use elementary set theoretical principles of network theory. We propose two new approaches: the TC-method (transfer-characteristic method) and the DPC-method (driving-point characteristic method). We use the TC-method to reduce the computation of dc-operating points of a given nonlinear resistive network to the computation of crossing points between transfer characteristics of associated modified resistive networks with a straight line. It can be proved that at least one operating point of the given network corresponds to each such crossing point. We show that the proposed approaches lead to continuation methods for the finding dc-operating points of resistive networks. These continuation methods can be readily used in standard SPICE-like circuit simulators. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Applied Electromagnetics & Mechanics is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 10131514 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Mathematical foundations of the TC-method for computing multiple DC-operating points. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Reibiger%2C+A%2E%22">Reibiger, A.</searchLink><br /><searchLink fieldCode="AR" term="%22Mathis%2C+W%2E%22">Mathis, W.</searchLink><br /><searchLink fieldCode="AR" term="%22Nähring%2C+T%2E%22">Nähring, T.</searchLink><br /><searchLink fieldCode="AR" term="%22Trajković%2C+Lj%2E%22">Trajković, Lj.</searchLink> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Applied+Electromagnetics+%26+Mechanics%22">International Journal of Applied Electromagnetics & Mechanics</searchLink>. 2003, Vol. 17 Issue 1-3, p169. 23p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Nonlinear+electric+circuits%22">Nonlinear electric circuits</searchLink><br /><searchLink fieldCode="DE" term="%22Electronic+circuits%22">Electronic circuits</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+circuits%22">Electric circuits</searchLink><br /><searchLink fieldCode="DE" term="%22Direct+currents%22">Direct currents</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+networks%22">Electric networks</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we present a detailed mathematical analysis of nonlinear resistive networks with multiple dc-operating points. In our approach, we use elementary set theoretical principles of network theory. We propose two new approaches: the TC-method (transfer-characteristic method) and the DPC-method (driving-point characteristic method). We use the TC-method to reduce the computation of dc-operating points of a given nonlinear resistive network to the computation of crossing points between transfer characteristics of associated modified resistive networks with a straight line. It can be proved that at least one operating point of the given network corresponds to each such crossing point. We show that the proposed approaches lead to continuation methods for the finding dc-operating points of resistive networks. These continuation methods can be readily used in standard SPICE-like circuit simulators. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Applied Electromagnetics & Mechanics is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3233/JAE-2003-256 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 23 StartPage: 169 Subjects: – SubjectFull: Nonlinear electric circuits Type: general – SubjectFull: Electronic circuits Type: general – SubjectFull: Electric circuits Type: general – SubjectFull: Direct currents Type: general – SubjectFull: Electric networks Type: general Titles: – TitleFull: Mathematical foundations of the TC-method for computing multiple DC-operating points. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Reibiger, A. – PersonEntity: Name: NameFull: Mathis, W. – PersonEntity: Name: NameFull: Nähring, T. – PersonEntity: Name: NameFull: Trajković, Lj. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: 2003 Type: published Y: 2003 Identifiers: – Type: issn-print Value: 13835416 Numbering: – Type: volume Value: 17 – Type: issue Value: 1-3 Titles: – TitleFull: International Journal of Applied Electromagnetics & Mechanics Type: main |
| ResultId | 1 |
