Mathematical model of permanent magnets and superconducting coils interaction / Lyashko, / Zub, / Yalovega, / Lyashko. (2022)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2022, 58 (1))

Lyashko S.I., Zub S.S., Yalovega I.G., Lyashko V.S.
Mathematical model of permanent magnets and superconducting coils interaction

A Lagrangian formalism is developed, which allows finding the magnetic potential energy of interactions in a system of superconducting inductors (coils with constant magnetic flux) and permanent magnets (coils with direct current). The explicit form of potential energy for the magnetic system with constant magnetic fluxes and direct currents allows the stability analysis in such magnetic systems both at equilibrium and in motion. A number of applications are indicated, which will benefit from this approach such as modeling of cyber-physical or technical systems of magnetic levitation. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: cyclic coordinates, electromechanical systems, Lagrangian formalism, Routh method, stability, Lagrange multipliers, Magnetic levitation, Magnetic levitation vehicles, Molecular physics, Permanent magnets, Potential energy, Superconducting coils, Superconducting magnets, System stability, Cyclic coordinate, Direct-current, Electromechanical systems, Inductor coils, Lagrangian formalism, Magnet coils, Magnetic potential energies, Magnetic system, Routh method, Superconducting inductor, Magnetic flux


Cite:
Lyashko S.I., Zub S.S., Yalovega I.G., Lyashko V.S. (2022). Mathematical model of permanent magnets and superconducting coils interaction. Cybernetics and Systems Analysis, 58 (1), 90–97. doi: https://doi.org/10.1007/s10559-022-00437-2 http://jnas.nbuv.gov.ua/article/UJRN-0001301509 [In Ukrainian].


 

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