Application of Thevenin-Barbi circuit equivalent for optimization of energy characteristics of DC electrical circuits

Mykhailo Artemenko; Vasyl Chopyk; Ivan Shapoval; Sergii Polishchuk; Dmytro Boitsov

doi:10.3103/S0735272724100030

Authors

Mykhailo Artemenko National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine https://orcid.org/0000-0001-9341-9238
Vasyl Chopyk Institute of Electrodynamics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine https://orcid.org/0000-0002-5046-5223
Ivan Shapoval Institute of Electrodynamics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine https://orcid.org/0000-0002-9107-5061
Sergii Polishchuk Institute of Electrodynamics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine https://orcid.org/0000-0002-6978-2747
Dmytro Boitsov National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine

DOI:

https://doi.org/10.3103/S0735272724100030

Keywords:

Thevenin-Barbi circuit equivalent, direct current electric circuit, power equivalence, efficiency maximization

Abstract

The paper demonstrates the advantages of using the Thevenin–Barbi three-element circuit equivalent in energy studies of DC circuits. The optimal and limiting values of the load parameters of the Thevenin–Barbi circuit equivalent at a given range of the efficiency changes are determined, which allows us to study the energy characteristics of complex DC electrical circuits using a simplified model. For the first time, mutually unambiguous correspondences between the parameters of the Thevenin–Barbi circuit equivalent and the primary parameters of a passive linear four-pole network and a homogeneous long DC transmission line have been established, which allowed the results obtained for the optimization of the equivalent’s energy characteristics to be extended to them. The data of the computer simulation confirmed the adequacy of the proposed method for calculating the distributed parameters of the DC transmission line with the specified energy characteristics based on its Thevenin–Barbi circuit equivalent.

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