POSSIBILITY OF APPLYING METHODS OF ANALYSIS AND SYNTHESIS OF LINEAR ELECTRICAL CIRCUITS TO SOME NONLINEAR CIRCUITS

Authors

Qudrat Gayratovich Abidov, Tashkent State Technical University, Tashkent city, Republic of Uzbekistan, DSc, professor, abidoff@rambler.ru, https://orcid.org/0000-0001-8315-0351;Follow
Anvar Ismatullaevich Rahmatullaev, Tashkent State Technical University, Tashkent city, Republic of Uzbekistan, Research Associate,anvarrahmatullayev@gmail.uz, https://orcid.org/0000-0003-2419-0366;Follow
Mexrnoz Odiljonovna Gafurova, Tashkent State Technical University, Tashkent city, Republic of Uzbekistan, Research Associate, gafurova.mexrnoz@mail.ru, https://orcid.org/0009-0006-7612-8221.Follow

Abstract

This article discusses the possibility of applying the analysis and calculation methods used in linear electric circuits to certain nonlinear circuits. It is shown that if we abandon the quantitative criteria for the analysis and synthesis of nonlinear circuits using linear principles, some problems in nonlinear electrical engineering can be correctly solved based on linear theory. As an example, the simplest ferroresonant voltage stabilizer is considered, using the method of superposition and the equivalence of ferroresonant circuits in series and parallel connections. The electrical diagram is shown, and a formula for the stabilization coefficient is derived, representing a complex nonlinear function dependent on both linear and nonlinear circuit parameters. Under certain conditions, a simplified formula for calculating the output voltage stabilization coefficient is provided.

In a circuit where Kirchhoff’s laws strictly apply, the method of superposition, which pertains to the analysis of linear circuits, can also be applied to circuits with nonlinear elements. The stabilization of the output voltage of a simple single-phase ferroresonant voltage stabilizer and the characteristics of two ferroresonant circuits with parallel and series connections of passive elements are also presented. Basic calculation formulas are provided as well.

First Page

61

Last Page

64

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Recommended Citation

Abidov, Qudrat Gayratovich; Rahmatullaev, Anvar Ismatullaevich; and Gafurova, Mexrnoz Odiljonovna (2024) "POSSIBILITY OF APPLYING METHODS OF ANALYSIS AND SYNTHESIS OF LINEAR ELECTRICAL CIRCUITS TO SOME NONLINEAR CIRCUITS," Technical science and innovation: Vol. 2024: Iss. 3, Article 11.
DOI: https://doi.org/10.59048/2181-0400

E-ISSN: 2181-1180

.1585
Available at: https://btstu.researchcommons.org/journal/vol2024/iss3/11