ЕLECTROMAGNETIC FIELD EQUATIONS IN NONLINEAR ENVIRONMENT
Viktor Lyshuk
Lutsk National Technical University, Faculty of Computer and Information Technologies, Department of Electronics and Telecommunications (Ukraine)
https://orcid.org/0000-0003-4049-8467
Vasyl Tchaban
Lviv Polytechnic National University, Institute of Energy and Control Systems, Department of Theoretical and General Electrical Engineering (Ukraine)
Anatolii Tkachuk
a.tkachuk@lntu.edu.uaLutsk National Technical University, Faculty of Computer and Information Technologies, Department of Electronics and Telecommunications (Ukraine)
https://orcid.org/0000-0001-9085-7777
Valentyn Zablotskyi
Lutsk National Technical University, Faculty of Computer and Information Technologies, Department of Electronics and Telecommunications (Ukraine)
Yosyp Selepyna
Lutsk National Technical University, Faculty of Computer and Information Technologies, Department of Electronics and Telecommunications (Ukraine)
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 integrationReferences
Basu P. K., Dhasmana H.: Electromagnetic Theory Fundamentals. Electromagnetic Theory. Springer, Cham, 2023 [https://doi.org/10.1007/978-3-031-12318-4_1].
DOI: https://doi.org/10.1007/978-3-031-12318-4
Google Scholar
Chew W. C.: Lectures on Electromagnetic Field Theory. Purdue University, 2020.
Google Scholar
Davis B. S.: Understanding the Electromagnetic Field. World Scientific Publishing Company, Singapore 2023.
DOI: https://doi.org/10.1142/13368
Google Scholar
Janaswamy R.: Engineering Electrodynamics: A collection of theorems, principles and field representations. IOP Publishing, Bristol, 2020.
DOI: https://doi.org/10.1088/978-0-7503-1716-0ch10
Google Scholar
Kostiuchko S., Polishchuk M., Zabolotnyi O., Tkachuk A., Twarog B.: The Auxiliary Parametric Sensitivity Method as a Means of Improving Project Management Analysis and Synthesis of Executive Elements. Miraz M. H. et al. (eds): Emerging Technologies in Computing. iCETiC 2021. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering 395, Springer, Cham 2021, 174–184 [https://doi.org/10.1007/978-3-030-90016-8_12].
DOI: https://doi.org/10.1007/978-3-030-90016-8_12
Google Scholar
Müller C.: Foundations of the Mathematical Theory of Electromagnetic Waves. Springer, Berlin, 2013 [https://doi.org/10.1007/978-3-662-11773-6].
DOI: https://doi.org/10.1007/978-3-662-11773-6
Google Scholar
Rauf B.: Electrical Engineering for Non-Electrical Engineers. 3rd Edition. River Publishers, 2022.
DOI: https://doi.org/10.1201/9781003152033
Google Scholar
Raychaudhuri A. K.: Classical Theory of Electricity and Magnetism: A Course of Lectures. Springer, 2022.
DOI: https://doi.org/10.1007/978-981-16-8139-4
Google Scholar
Riad S. M., Salama I. M.: Electromagnetic Fields and Waves: Fundamentals of Engineering. McGraw-Hill Education, 2020.
Google Scholar
Rizzoni G., Kearns J.: Fundamentals of Electrical Engineering. 2nd Edition. McGraw-Hill Education, 2022.
Google Scholar
Shadid W. G.: Electric Model for Electromagnetic Wave Fields. IEEE Access 9, 2021, 88782–88804 [https://doi.org/10.1109/ACCESS.2021.3090862].
DOI: https://doi.org/10.1109/ACCESS.2021.3090862
Google Scholar
Tchaban V., Kostiuchko S., Krokhmalny B.: Equations of State Variables of Electromagnetic Circuits in Engineering Education of MEMS-Specialists. IEEE XVIIth International Conference on the Perspective Technologies and Methods in MEMS Design – MEMSTECH, 2021, 78-81 [https://doi.org/10.1109/MEMSTECH53091.2021.9468082].
DOI: https://doi.org/10.1109/MEMSTECH53091.2021.9468082
Google Scholar
Tchaban V.: Nova elektrotekhnika. Prostir M, Lʹviv, 2019.
Google Scholar
Zhang X.-Z.: Flow Measurement by Electromagnetic Induction: Theory and numerical methods. IOP Publishing, Bristol, 2020.
Google Scholar
Authors
Viktor LyshukLutsk National Technical University, Faculty of Computer and Information Technologies, Department of Electronics and Telecommunications Ukraine
https://orcid.org/0000-0003-4049-8467
Authors
Vasyl TchabanLviv Polytechnic National University, Institute of Energy and Control Systems, Department of Theoretical and General Electrical Engineering Ukraine
Authors
Anatolii Tkachuka.tkachuk@lntu.edu.ua
Lutsk National Technical University, Faculty of Computer and Information Technologies, Department of Electronics and Telecommunications Ukraine
https://orcid.org/0000-0001-9085-7777
Authors
Valentyn ZablotskyiLutsk National Technical University, Faculty of Computer and Information Technologies, Department of Electronics and Telecommunications Ukraine
Authors
Yosyp SelepynaLutsk National Technical University, Faculty of Computer and Information Technologies, Department of Electronics and Telecommunications Ukraine
Statistics
Abstract views: 265PDF downloads: 141
Most read articles by the same author(s)
- Serhii Moroz, Anatolii Tkachuk, Mykola Khvyshchun, Stanislav Prystupa, Mykola Yevsiuk, METHODS FOR ENSURING DATA SECURITY IN MOBILE STANDARDS , Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska: Vol. 12 No. 1 (2022)
- Mykola Polishchuk, Serhii Grinyuk, Serhii Kostiuchko, Anatolii Tkachuk, Pavlo Savaryn, TESLA SWITCH OF 4 BATTERIES BASED ON THE ARDUINO UNO BOARD , Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska: Vol. 13 No. 3 (2023)
- Valentyn Zablotskyi, Yosyp Selepyna, Viktor Lyshuk, Natalia Yakymchuk, Anatolii Tkachuk, METHOD FOR EVALUATION QUALITY PARAMETERS OF TELECOMMUNICATIONS SERVICES , Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska: Vol. 12 No. 2 (2022)
- Olena Liutak, Olena Baula, Anatolii Tkachuk, SIMULATION OF THE INFLUENCE OF INVESTMENT AND INNOVATION ACTIVITIES ON ENSURING THE INTERNATIONAL COMPETITIVENESS OF COUNTRIES , Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska: Vol. 13 No. 2 (2023)
- Valeriy Kozlovskiy, Natalia Yakymchuk, Yosyp Selepyna, Serhii Moroz, Anatolii Tkachuk, DEVELOPMENT OF A MODIFIED METHOD OF NETWORK TRAFFIC FORMING , Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska: Vol. 13 No. 1 (2023)
- Natalia Yakymchuk, Yosyp Selepyna, Mykola Yevsiuk, Stanislav Prystupa, Serhii Moroz, MONITORING OF LINK-LEVEL CONGESTION IN TELECOMMUNICATION SYSTEMS USING INFORMATION CRITERIA , Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska: Vol. 12 No. 4 (2022)
- Anatolii Tkachuk, Mykola Polishchuk, Liliia Polishchuk, Serhii Kostiuchko, Serhii Hryniuk, Liudmyla Konkevych, Investigation of DC-AC converter with microcontroller control of inverter frequency , Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska: Vol. 15 No. 1 (2025)
