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2024•Kibernetyka ta Systemnyi AnalizOpen access

MATHEMATICAL MODEL OF MAGNET SUPERCONDUCTING SUSPENSION

Military Unit No. А7403, Ukraine, stah_z@yahoo.com, С. Зуб, I.H. Yalovega, V. S. Lyashko, S. I. Lyashko

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Abstract

A complete study of the stability of static equilibrium in the system was carried out using the explicitly obtained function of the potential energy of the magnetic system, which consists of a superconducting ring and a magnetic dipole in a uniform gravitational field. The conditions for equilibrium were analytically found, and the stability domain was constructed. It is shown that when the found conditions are met, a static magnetic levitation in the form of a suspension takes place around the axis of the ring. The performed calculations demonstrate the stability of equilibrium in the form of a suspension based on the magnetic levitation mechanism proposed by V. Kozoriz. Keywords: mathematical model, magnetic levitation, magnetic potential energy, stability of equilibrium, superconducting suspension, permanent magnet.

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A complete study of the stability of static equilibrium in the system was carried out using the explicitly obtained function of the potential energy of the magnetic system, which consists of a superconducting ring and a magnetic dipole in a uniform gravitational field. The conditions for equilibrium were analytically found, and the stability domain was constructed. It is shown that when the found conditions are met, a static magnetic levitation in the form of a suspension takes place around the axis of the ring. The performed calculations demonstrate the stability of equilibrium in the form of a suspension based on the magnetic levitation mechanism proposed by V. Kozoriz. Keywords: mathematical model, magnetic levitation, magnetic potential energy, stability of equilibrium, superconducting suspension, permanent magnet.

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Available abstract

A complete study of the stability of static equilibrium in the system was carried out using the explicitly obtained function of the potential energy of the magnetic system, which consists of a superconducting ring and a magnetic dipole in a uniform gravitational field. The conditions for equilibrium were analytically found, and the stability domain was constructed. It is shown that when the found conditions are met, a static magnetic levitation in the form of a suspension takes place around the axis of the ring. The performed calculations demonstrate the stability of equilibrium in the form of a suspension based on the magnetic levitation mechanism proposed by V. Kozoriz. Keywords: mathematical model, magnetic levitation, magnetic potential energy, stability of equilibrium, superconducting suspension, permanent magnet.

Key concepts: Levitation, Magnetic levitation, Electrodynamic suspension, Spin-stabilized magnetic levitation, Electromagnetic suspension, Magnet, Suspension (topology), Magnetic field

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