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MONA - A magnetic oriented nodal analysis for electric circuits

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
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: MONA - A magnetic oriented nodal analysis for electric circuits
Language: English
Date: 10 October 2022
Place of Publication: Darmstadt
Year of primary publication: 2022
Publisher: John Wiley & Sons
Journal or Publication Title: International Journal of Circuit Theory and Applications
Volume of the journal: 50
Issue Number: 9
DOI: 10.26083/tuprints-00022443
Corresponding Links:
Origin: Secondary publication DeepGreen

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.

Uncontrolled Keywords: charge‐flux oriented formulation, differential‐algebraic equations, electrical circuits, index analysis, modified nodal analysis
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-224433
Classification DDC: 500 Science and mathematics > 510 Mathematics
Divisions: 04 Department of Mathematics > Numerical Analysis and Scientific Computing
Date Deposited: 10 Oct 2022 12:58
Last Modified: 10 Jul 2024 10:14
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/22443
PPN: 500374546
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