Проектирование электротехнических систем на основе математического моделирования нестационарных электродинамических процессов

Authors

  • Дмитрий Максимович Филиппов Крымский федеральный университет имени В. И. Вернадского
  • Александр Александрович Шуйский Крымский федеральный университет имени В. И. Вернадского

Keywords:

eddy currents, integro-differential equations, secondary sources, fictitious magnetic charges, double layer, linear algebraic equations, system of equations

Abstract

The project is dedicated to the development of a new effective numerical model of non-stationary electrodynamic processes occurring in electrical systems with the aim of optimal design of structural elements of such systems. This mathematical model is presented in the form of a system of integro-differential equations for the density of secondary sources: eddy currents and electric charges. In the numerical solution of the system of integro-differential equations, the densities of the secondary sources were approximated by piecewise constant functions. In order to increase the computational efficiency of the collocation method, a new numerical model based on the use of the integral relation for the normal component of the current density has been developed and implemented. The mathematical model of the three-dimensional magnetic field of systems containing ferromagnets is presented in the form of a modified integral equation for the density of the double layer of fictitious magnetic charges. The results of the project can be implemented in such sectors of the real sector of the economy as distributed, including renewable, energy, electric vehicles, non-destructive testing devices and devices, etc. Acknowledgments: The reported study was funded by RFBR, project number 20-08-00962.

Author Biographies

Дмитрий Максимович Филиппов, Крымский федеральный университет имени В. И. Вернадского

К. т. н., доцент кафедры компьютерной инженерии и моделирования Физико-технического института ФГАОУ ВО «Крымский федеральный университет имени В. И. Вернадского».

Александр Александрович Шуйский, Крымский федеральный университет имени В. И. Вернадского

Студент Физико-технического института ФГАОУ ВО «Крымский федеральный университет имени В. И. Вернадского».

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Published

2020-02-22

How to Cite

Филиппов Д.М. Проектирование электротехнических систем на основе математического моделирования нестационарных электродинамических процессов / Д.М. Филиппов, А.А. Шуйский // Русский. – 2020. – № 1 [13]. – P. 105–110.

Issue

No. 1 [13] (2020)

Section

Young scientists - the search for self-determination

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