ЕLECTROMAGNETIC FIELD EQUATIONS IN NONLINEAR ENVIRONMENT

Viktor Lyshuk; Vasyl Tchaban; Anatolii Tkachuk; Valentyn Zablotskyi; Yosyp Selepyna

doi:10.35784/iapgos.5533

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Published: Mar 31, 2024

DOI: https://doi.org/10.35784/iapgos.5533

DOI

https://doi.org/10.35784/iapgos.5533

Authors

Viktor Lyshuk

v.lyshuk@lntu.edu.ua

Lutsk National Technical University, Faculty of Computer and Information Technologies, Department of Electronics and Telecommunications

https://orcid.org/0000-0003-4049-8467

Vasyl Tchaban

vasyl.y.chaban@lpnu.ua

Lviv Polytechnic National University, Institute of Energy and Control Systems, Department of Theoretical and General Electrical Engineering

Anatolii Tkachuk

a.tkachuk@lntu.edu.ua

Lutsk National Technical University, Faculty of Computer and Information Technologies, Department of Electronics and Telecommunications

https://orcid.org/0000-0001-9085-7777

Valentyn Zablotskyi

v.zablotsky@lntu.edu.ua

Lutsk National Technical University, Faculty of Computer and Information Technologies, Department of Electronics and Telecommunications

Yosyp Selepyna

y.selepyna@lntu.edu.ua

Lutsk National Technical University, Faculty of Computer and Information Technologies, Department of Electronics and Telecommunications

Abstract

The paper proposes electromagnetic field equations from the point of view of their adaptation to numerical methods. Maxwell's equations with partial derivatives are used, written concerning field vectors, which most fully reproduce the picture of physical processes in electrical engineering devices. The values of these vectors provide comprehensive information about the field at any spatio-temporal point. The concept of creating mathematical models of electrical devices adequate to physical processes has been developed. Mathematical transformations are carried out according to the rules of differential calculus. Dynamic processes in the elements of electrotechnical devices were analyzed using the apparatus of mathematical modeling. An algorithm for implementing differential equations with partial derivative numerical methods using computer simulation was implemented. The obtained results made it possible to understand the nature of electromagnetic phenomena in nonlinear media. The paper provides calculations of the field parameters in a flat ferromagnetic plate and the groove of the rotor of an electric machine.

Keywords:

еlectromagnetic field differential equations, mathematical model, numerical integration

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Lyshuk, V., Tchaban, V., Tkachuk, A., Zablotskyi, V., & Selepyna, Y. (2024). ЕLECTROMAGNETIC FIELD EQUATIONS IN NONLINEAR ENVIRONMENT. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 14(1), 11–16. https://doi.org/10.35784/iapgos.5533

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