Shashkov, Vsevolod ; Cortes Garcia, Idoia ; Egger, Herbert (2022)
MONA — A magnetic oriented nodal analysis for electric circuits.
In: International Journal of Circuit Theory and Applications, 2022, 50 (9)
doi: 10.26083/tuprints-00022443
Artikel, Zweitveröffentlichung, Verlagsversion
Kurzbeschreibung (Abstract)
The modified nodal analysis (MNA) is probably the most widely used formulation for the modeling and simulation of electric circuits. Its conventional form uses electric node potentials and currents across inductors and voltage sources as unknowns, thus taking an electric viewpoint. In this paper, we propose an alternative magnetic oriented nodal analysis (MONA) for electric circuits, which is based on magnetic node potentials and charges across capacitors and voltage sources as the primary degrees of freedom, thus giving direct access to these quantities. The resulting system has the structure of a generalized gradient system which immediately ensures passivity in the absence of sources. A complete index analysis is presented showing regularity of the magnetic oriented formulation under standard topological conditions on the network interconnection. In comparison to conventional MNA, the differential‐algebraic index of MONA is smaller by one in most cases which facilitates the numerical solution. Some preliminary numerical experiments are presented for illustration of the feasibility and stability of the new approach.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2022 |
| Autor(en): | Shashkov, Vsevolod ; Cortes Garcia, Idoia ; Egger, Herbert |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | MONA — A magnetic oriented nodal analysis for electric circuits |
| Sprache: | Englisch |
| Publikationsjahr: | 2022 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | 2022 |
| Verlag: | John Wiley & Sons |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | International Journal of Circuit Theory and Applications |
| Jahrgang/Volume einer Zeitschrift: | 50 |
| (Heft-)Nummer: | 9 |
| DOI: | 10.26083/tuprints-00022443 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/22443 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (Abstract): | The modified nodal analysis (MNA) is probably the most widely used formulation for the modeling and simulation of electric circuits. Its conventional form uses electric node potentials and currents across inductors and voltage sources as unknowns, thus taking an electric viewpoint. In this paper, we propose an alternative magnetic oriented nodal analysis (MONA) for electric circuits, which is based on magnetic node potentials and charges across capacitors and voltage sources as the primary degrees of freedom, thus giving direct access to these quantities. The resulting system has the structure of a generalized gradient system which immediately ensures passivity in the absence of sources. A complete index analysis is presented showing regularity of the magnetic oriented formulation under standard topological conditions on the network interconnection. In comparison to conventional MNA, the differential‐algebraic index of MONA is smaller by one in most cases which facilitates the numerical solution. Some preliminary numerical experiments are presented for illustration of the feasibility and stability of the new approach. |
| Freie Schlagworte: | charge‐flux oriented formulation, differential‐algebraic equations, electrical circuits, index analysis, modified nodal analysis |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-224433 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
| Fachbereich(e)/-gebiet(e): | 04 Fachbereich Mathematik 04 Fachbereich Mathematik > Numerik und wissenschaftliches Rechnen |
| Hinterlegungsdatum: | 10 Okt 2022 12:58 |
| Letzte Änderung: | 11 Okt 2022 13:52 |
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| Zugehörige Links: | |
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