Open AccessAnalysis of subharmonic oscillations in multi-phase ferroresonance circuits using a mathematical model
Author(s) -
Akram N. Tovboyev,
D Sh Mardonov,
A X Mamatazimov,
S S Samatova
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2094/5/052048
Subject(s) - ferroresonance in electricity networks , nonlinear system , electronic circuit , oscillation (cell signaling) , differential equation , control theory (sociology) , mathematics , subharmonic , mathematical model , mathematical analysis , computer science , voltage , physics , control (management) , artificial intelligence , biology , genetics , transformer , statistics , quantum mechanics
The article about solution of system of nonlinear differential equations that are almost impossible to solve by analytical methods by constructing a mathematical model of nonlinear oscillations occurring in three-phase ferroresonance circuits. A system of nonlinear differential equations was formed by approximating the volt-ampere characteristics of a ferromagnetic element in a ferroresonance circuit. Mathematical models for solving technical problems characterizing subharmonic oscillation processes in three-phase ferroresonance circuits and systems using the finite-difference method are expressed in the form of differential equations without appropriate initial conditions. Amathematical model of a system of equations representing subharmonic oscillations in ferroresonance connections depending on the value of the selected parameters in the field of change of any variable is considered.