UDC 531.01:519.876.5
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4 V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
 lyashko91@gmail.com
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MATHEMATICAL MODEL OF PERMANENT MAGNETS
AND SUPERCONDUCTING COILS INTERACTION
Abstract. 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 a magnetic system with constant magnetic fluxes and direct currents allows the stability
analysis in such magnetic systems both at equilibrium and motion. A number of applications are indicated, which will benefit
from this approach such as modelling of cyber-physical or technical systems of magnetic levitation.
Keywords: electromechanical systems, cyclic coordinates, Rauss method, Lagrange formalism, stability.
FULL TEXT
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