Energy features of stress ferroresonance

Authors

  • G. Yu. Ermolenko Novorossiisk Branch of Belgorod V G Shukhov State Technology University
  • A. G. Ermolenko JSC "Novorossiysklesexport"

Keywords:

sequential oscillatory circuit, nonlinear inductance, trigger effect, Cauchy problem

Abstract

The article considers the ferroresonance of voltages in a series oscillatory circuit consisting of a nonlinear inductor and a linear capacitor. The non-linearity of the inductor is due to the presence of a core made of ferromagnetic material. The mathematical model of the phenomenon under consideration constructed in this work is the Cauchy problem for a nonlinear differential equation of the first order. The solution to the problem, obtained by means of MathСad, suggests that a trigger effect arises in the circuit, due to which the circuit actively exchanges energy with the environment.

References

Калашников С. Г. Электричество. М.: ФИЗМАТЛИТ. 2003. 624 с.

Бессонов Л. А. Теоретические основы электротехники. М.: Высшая школа. 1996. 638 с.

Published

2021-11-30

How to Cite

Ермоленко, Г. Ю., & Ермоленко, А. Г. . (2021). Energy features of stress ferroresonance. Вестник Новороссийского филиала Белгородского государственного технологического университета им. В. Г. Шухова. Серия: механика и математика, 1(3), 010-014. Retrieved from https://vestnik-nbbstu-mechmath.ru/ojs/index.php/vnfbstumm/article/view/20

Issue

Section

Математическое моделирование процессов и явлений

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