Abstract
The article proposes a modified structure for the one-port equivalent circuit of linear electric AC networks that reproduces the complex power of the primary circuit and enables time-domain simulation in common computer software. An energy correction factor is introduced, which quantitatively characterises the decrease in the real efficiency of the primary circuit at maximum load power compared to the limit value of 50% for the classical Thevenin circuit equivalent. A one-to-one relationship of this factor with the maximum achievable efficiency of the primary circuit, which can exceed 50% at optimal load, is shown. Using the parameters of the proposed one-port equivalent circuit, analytical relations for calculating the optimal load parameters are obtained. The reliability of the theoretical results is confirmed by computer simulation in the Multisim environment on the example of a linear transformer model, which demonstrated a complete coincidence of the optimised energy characteristics of the primary AC network and its one-port equivalent circuit. References 16, figures 8.
References
1. Thévenin L. Sur un Nouveaux Théoreme d’Electricité Dynamique. Comptes Rendus des Séances de l’Academie des Sciences. Vol. 97. T.Tome, Ed. Paris, France: Académie des Sciences. Jul./Dec. 1883. Pp. 159–161.
2. Boyko V.S., Boyko V.V., Vydolob Y.F. Theoretical foundations of electrical engineering: Vol. 1: Established modes of linear electric circuits with concentrated parameters. Kyiv: IVC Publishing House Polytechnic, 2004. 272 p. (Ukr).
3. Koval Yu.O., Grinchenko L.V., Mylyutchenko I.O., Rybin O.I. Fundamentals of the Theory of Circles: Textbook for Students of Higher Educational Institutions. Part 1. For the general. edited by V.M. Shokalo and V.I. Pravda. X.: CMIT Company, 2008. 432 p. (Ukr).
4. Charles K. Alexander, Matthew N. O. Sadiku. Fundamentals of Electric Circuits. McGraw-Hill, New York, 2020. 992 p.
5. Nilsson J. W. and Riedel S. A. Electric Circuits. Boston, MA, USA: Pearson, 2023.
6. Steinmetz C. P. Complex quantities and their use in electrical engineering. Proceedings of the International Electrical Congress, Held in the City of Chicago, August 21st to 25th, 1893. New York, NY, USA: American Institute of Electrical Engineers, 1893. Pp. 33–74.
7. Barbi I. Power Conservative Equivalent Circuit for DC Networks. IEEE Access. 2020. Vol. 8. Pp. 113667–113674. DOI: https://doi.org/10.1109/ACCESS.2020.3004026.
8. Artemenko M.Yu., Petrov D.O., Kutafin Yu.V. Two-pole scheme of substitution of an electric circuit of direct current with dependent voltage sources, equivalent in power. 2021. Iss. 67. Pp. 5-13. DOI: https://doi.org/10.20535/RADAP.2021.85.5-13 (Ukr).
9. Artemenko, M.Yu., Chopyk, V.V., Shapoval, I.A., Polishchuk, S.Y., Boytsov, D.D. Application of the Thévenin-Barbie circuit equivalent for optimization of energy characteristics of DC electrical circuits. News of Higher Educational Institutions. Radio Electronics, 2024. 67(9). pp. 554–564. DOI: https://doi.org/10.20535/S0021347024100030 (Ukr).
10. Corradini L. General Power-Equivalent Synthesis of Resistive DC Networks. IEEE Access. 2020. Vol. 8. Pp. 160711–160722. DOI: https://doi.org/10.1109/ACCESS.2020.3020652.
11. Barbi I. Unified Power Conservative Equivalent Circuit for DC Networks. IEEE Access. 2020. Vol. 8. Pp. 178230–178237. DOI: https://doi.org/10.1109/ACCESS.2020.3027489.
12. Herminio Martinez-Garcia and Encarna Garcia-Vilchez Power-Based Equivalent-Modeling Circuit for DC Linear Time-Invariant Resistive One-Port Networks. IEEE Access. 2021. Vol. 9. Pp. 23326–23334. DOI: https://doi.org/10.1109/ACCESS.2021.3057435.
13. Barbi I. Active and Reactive Power Conservative Extension of the Hoashi-Millman Equivalent Circuit. IEEE Access. 2025. Vol. 13. Pp. 213016–213024. DOI: https://doi.org/10.1109/ACCESS.2025.3645010
14. Artemenko M., Kutafin Y., Shapoval I., Mykhalskyi V., Chopyk V., and Polishchuk S. One-port complex power conservative equivalent circuit of linear AC electrical network. Proceedings of the IED. 2025. Vol. 72, Pp. 62–70. DOI: https://doi.org/10.15407/publishing2025.72.062
15. Hoashi T. The combination theorem of the electrical circuits and its applications. J. Inst. Electr. Eng. June 1927. Vol. 467. Pp. 595–610. [in Japanese].
16. Millman J. A Useful Network Theorem. Proceedings of the IRE. Sept. 1940. Vol. 28. No. 9. Pp. 413–417. DOI: https://doi.org/10.1109/JRPROC.1940.225885

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