Generation Algorithms for Thévenin and Norton Equivalent Circuits

The growing complexity of electrical systems requires advanced analysis tools to optimize the design time and resources. While many circuit simulators exist, they often lack the flexibility needed for real-world applications. In this context, our paper develops practical approaches to building Théve...

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Main Authors: Mihaela Grib, Ioana-Gabriela Sirbu, Lucian Mandache, Marilena Stanculescu, Mihai Iordache, Lavinia Bobaru, Dragos Niculae
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/18/6/1344
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author Mihaela Grib
Ioana-Gabriela Sirbu
Lucian Mandache
Marilena Stanculescu
Mihai Iordache
Lavinia Bobaru
Dragos Niculae
author_facet Mihaela Grib
Ioana-Gabriela Sirbu
Lucian Mandache
Marilena Stanculescu
Mihai Iordache
Lavinia Bobaru
Dragos Niculae
author_sort Mihaela Grib
collection DOAJ
description The growing complexity of electrical systems requires advanced analysis tools to optimize the design time and resources. While many circuit simulators exist, they often lack the flexibility needed for real-world applications. In this context, our paper develops practical approaches to building Thévenin and Norton equivalent diagrams by means of modern software facilities which overpass the capabilities of common commercial circuit simulators. They use the symbolic computation of two simulation tools developed by our research team. The proposed algorithms are not limited by the operation behavior of the analyzed systems, being usable in both DC and AC circuits, as well as in transients. The developed method facilitates and speeds up the complex analyses required by repeated simulations specific to the modern design process. Three case studies are discussed to prove the efficiency of the developed algorithms. They cover real DC and AC applications, respectively. The results obtained using the Thévenin and Norton equivalent diagrams were validated through analyses of the initial systems.
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id doaj-art-7f18201fdf4e493fac17c406f9d6df1b
institution Kabale University
issn 1996-1073
language English
publishDate 2025-03-01
publisher MDPI AG
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series Energies
spelling doaj-art-7f18201fdf4e493fac17c406f9d6df1b2025-08-20T03:43:21ZengMDPI AGEnergies1996-10732025-03-01186134410.3390/en18061344Generation Algorithms for Thévenin and Norton Equivalent CircuitsMihaela Grib0Ioana-Gabriela Sirbu1Lucian Mandache2Marilena Stanculescu3Mihai Iordache4Lavinia Bobaru5Dragos Niculae6Electrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucuresti, 060042 Bucharest, RomaniaElectrical Engineering Faculty, University of Craiova, 200585 Craiova, RomaniaElectrical Engineering Faculty, University of Craiova, 200585 Craiova, RomaniaElectrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucuresti, 060042 Bucharest, RomaniaElectrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucuresti, 060042 Bucharest, RomaniaElectrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucuresti, 060042 Bucharest, RomaniaElectrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucuresti, 060042 Bucharest, RomaniaThe growing complexity of electrical systems requires advanced analysis tools to optimize the design time and resources. While many circuit simulators exist, they often lack the flexibility needed for real-world applications. In this context, our paper develops practical approaches to building Thévenin and Norton equivalent diagrams by means of modern software facilities which overpass the capabilities of common commercial circuit simulators. They use the symbolic computation of two simulation tools developed by our research team. The proposed algorithms are not limited by the operation behavior of the analyzed systems, being usable in both DC and AC circuits, as well as in transients. The developed method facilitates and speeds up the complex analyses required by repeated simulations specific to the modern design process. Three case studies are discussed to prove the efficiency of the developed algorithms. They cover real DC and AC applications, respectively. The results obtained using the Thévenin and Norton equivalent diagrams were validated through analyses of the initial systems.https://www.mdpi.com/1996-1073/18/6/1344Thévenin and Norton equivalent circuitslinear and time-invariant one-port circuitACAP simulatorSCAP simulatorsymbolic analyses
spellingShingle Mihaela Grib
Ioana-Gabriela Sirbu
Lucian Mandache
Marilena Stanculescu
Mihai Iordache
Lavinia Bobaru
Dragos Niculae
Generation Algorithms for Thévenin and Norton Equivalent Circuits
Energies
Thévenin and Norton equivalent circuits
linear and time-invariant one-port circuit
ACAP simulator
SCAP simulator
symbolic analyses
title Generation Algorithms for Thévenin and Norton Equivalent Circuits
title_full Generation Algorithms for Thévenin and Norton Equivalent Circuits
title_fullStr Generation Algorithms for Thévenin and Norton Equivalent Circuits
title_full_unstemmed Generation Algorithms for Thévenin and Norton Equivalent Circuits
title_short Generation Algorithms for Thévenin and Norton Equivalent Circuits
title_sort generation algorithms for thevenin and norton equivalent circuits
topic Thévenin and Norton equivalent circuits
linear and time-invariant one-port circuit
ACAP simulator
SCAP simulator
symbolic analyses
url https://www.mdpi.com/1996-1073/18/6/1344
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AT marilenastanculescu generationalgorithmsfortheveninandnortonequivalentcircuits
AT mihaiiordache generationalgorithmsfortheveninandnortonequivalentcircuits
AT laviniabobaru generationalgorithmsfortheveninandnortonequivalentcircuits
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