Mathematical Modeling of Mechanical Forces and Power Balance in Electromechanical Energy Converter

Boris V. Malozyomov, Nikita V. Martyushev (), Svetlana N. Sorokova, Egor A. Efremenkov and Mengxu Qi
Additional contact information
Boris V. Malozyomov: Department of Electrotechnical Complexes, Novosibirsk State Technical University, 20, Karl Marks Ave., 630073 Novosibirsk, Russia
Nikita V. Martyushev: Department of Advanced Technologies, Tomsk Polytechnic University, 634050 Tomsk, Russia
Svetlana N. Sorokova: Department of Mechanical Engineering, Tomsk Polytechnic University, 30, Lenin Ave., 634050 Tomsk, Russia
Egor A. Efremenkov: Department of Mechanical Engineering, Tomsk Polytechnic University, 30, Lenin Ave., 634050 Tomsk, Russia
Mengxu Qi: Department of Advanced Technologies, Tomsk Polytechnic University, 634050 Tomsk, Russia

Mathematics, 2023, vol. 11, issue 10, 1-11

Abstract: This article proposes a calculation method for mechanical (electromagnetic) forces arising in an electromechanical energy converter acting on current circuits in a magnetic field, or on capacitor plates in an electric one. Transformations were performed on the basis of the principle of possible displacements involving the apparatus of partial derivatives. It was found that the power converted into mechanical power is partially spent on changing the energy of the electromagnetic field, and the remaining power, determined by the co-energy, is converted into mechanical power. Expressions for the mechanical (electromagnetic) forces were obtained based on the power balance. The reliability of the obtained results was compared with the known results. Of these, one can observe the well-known 50/50 principle, which states that only part of the power associated with the movement of the circuits is converted into mechanical power, while the rest is intended for changing the energy of the magnetic field.

Keywords: mathematical modeling; differential equations; partial differential equations; electromechanical energy conversion; energy; co-energy; mechanical force; power balance; electromagnetic field (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (11)

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/10/2394/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/10/2394/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:10:p:2394-:d:1152559

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().