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Generation Algorithms for Thévenin and Norton Equivalent Circuits

Author

Listed:
  • Mihaela Grib

    (Electrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucuresti, 060042 Bucharest, Romania)

  • Ioana-Gabriela Sirbu

    (Electrical Engineering Faculty, University of Craiova, 200585 Craiova, Romania)

  • Lucian Mandache

    (Electrical Engineering Faculty, University of Craiova, 200585 Craiova, Romania)

  • Marilena Stanculescu

    (Electrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucuresti, 060042 Bucharest, Romania)

  • Mihai Iordache

    (Electrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucuresti, 060042 Bucharest, Romania)

  • Lavinia Bobaru

    (Electrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucuresti, 060042 Bucharest, Romania)

  • Dragos Niculae

    (Electrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucuresti, 060042 Bucharest, Romania)

Abstract

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.

Suggested Citation

  • Mihaela Grib & Ioana-Gabriela Sirbu & Lucian Mandache & Marilena Stanculescu & Mihai Iordache & Lavinia Bobaru & Dragos Niculae, 2025. "Generation Algorithms for Thévenin and Norton Equivalent Circuits," Energies, MDPI, vol. 18(6), pages 1-18, March.
    • Handle: RePEc:gam:jeners:v:18:y:2025:i:6:p:1344-:d:1608623
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    References listed on IDEAS

    as
    1. Muresan Alexandru & Levente Czumbil & Roberto Andolfato & Hassan Nouri & Dan Doru Micu, 2020. "Investigating the Effect of Several Model Configurations on the Transient Response of Gas-Insulated Substation during Fault Events Using an Electromagnetic Field Theory Approach," Energies, MDPI, vol. 13(23), pages 1-19, November.
    2. Tawfik Guesmi & Badr M. Alshammari & Yosra Welhazi & Hsan Hadj Abdallah & Ahmed Toumi, 2022. "Robust Fuzzy Control for Uncertain Nonlinear Power Systems," Mathematics, MDPI, vol. 10(9), pages 1-26, April.
    3. Min Zhang & Huiqiang Zhi & Shifeng Zhang & Rui Fan & Ran Li & Jinhao Wang, 2022. "Modeling of Non-Characteristic Third Harmonics Produced by Voltage Source Converter under Unbalanced Condition," Sustainability, MDPI, vol. 14(11), pages 1-15, May.
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