Modeling and energy recovery from a system with two pseudo-levitating magnets

In this paper, a model of an electromagnetic system with two levitating magnets is presented. Modeling was performed using the results of experiments. The data obtained make it possible to fit the magnetic forces between two magnets using a 5th order polynomial. The time series show that dry frictio...

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Main Authors: Andrzej Mitura, Krzysztof Kecik
Format: Article
Language:English
Published: Polish Academy of Sciences 2022-06-01
Series:Bulletin of the Polish Academy of Sciences: Technical Sciences
Subjects:
Online Access:https://journals.pan.pl/Content/123590/PDF/2744_BPASTS_2022_70_4.pdf
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author Andrzej Mitura
Krzysztof Kecik
author_facet Andrzej Mitura
Krzysztof Kecik
author_sort Andrzej Mitura
collection DOAJ
description In this paper, a model of an electromagnetic system with two levitating magnets is presented. Modeling was performed using the results of experiments. The data obtained make it possible to fit the magnetic forces between two magnets using a 5th order polynomial. The time series show that dry friction constitutes an important part of damping forces. The differential equations of motion consider strong nonlinearities of magnetic and damping forces. These terms cause the nonlinear hardening effect. The energy recovered by magnetic induction is dissipated in the resistors. Numerical simulations show that resistance has an impact on magnet dynamics and energy recovery. From the resonance characteristics obtained, optimal resistance is determined when energy recovery is the highest.
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spelling doaj.art-ee14677f49e647c29903347367bc07292022-12-22T02:23:40ZengPolish Academy of SciencesBulletin of the Polish Academy of Sciences: Technical Sciences2300-19172022-06-01704https://doi.org/10.24425/bpasts.2022.141721Modeling and energy recovery from a system with two pseudo-levitating magnetsAndrzej Mitura0https://orcid.org/0000-0002-6749-8232Krzysztof Kecik1https://orcid.org/0000-0001-8293-6977Faculty of Mechanical Engineering, Department of Applied Mechanics, Lublin University of Technology, Nadbystrzycka 36, 20-618 Lublin, PolandFaculty of Mechanical Engineering, Department of Applied Mechanics, Lublin University of Technology, Nadbystrzycka 36, 20-618 Lublin, PolandIn this paper, a model of an electromagnetic system with two levitating magnets is presented. Modeling was performed using the results of experiments. The data obtained make it possible to fit the magnetic forces between two magnets using a 5th order polynomial. The time series show that dry friction constitutes an important part of damping forces. The differential equations of motion consider strong nonlinearities of magnetic and damping forces. These terms cause the nonlinear hardening effect. The energy recovered by magnetic induction is dissipated in the resistors. Numerical simulations show that resistance has an impact on magnet dynamics and energy recovery. From the resonance characteristics obtained, optimal resistance is determined when energy recovery is the highest.https://journals.pan.pl/Content/123590/PDF/2744_BPASTS_2022_70_4.pdfenergy recoverypseudo-levitating magnetsnonlinear dynamicsexperimental research
spellingShingle Andrzej Mitura
Krzysztof Kecik
Modeling and energy recovery from a system with two pseudo-levitating magnets
Bulletin of the Polish Academy of Sciences: Technical Sciences
energy recovery
pseudo-levitating magnets
nonlinear dynamics
experimental research
title Modeling and energy recovery from a system with two pseudo-levitating magnets
title_full Modeling and energy recovery from a system with two pseudo-levitating magnets
title_fullStr Modeling and energy recovery from a system with two pseudo-levitating magnets
title_full_unstemmed Modeling and energy recovery from a system with two pseudo-levitating magnets
title_short Modeling and energy recovery from a system with two pseudo-levitating magnets
title_sort modeling and energy recovery from a system with two pseudo levitating magnets
topic energy recovery
pseudo-levitating magnets
nonlinear dynamics
experimental research
url https://journals.pan.pl/Content/123590/PDF/2744_BPASTS_2022_70_4.pdf
work_keys_str_mv AT andrzejmitura modelingandenergyrecoveryfromasystemwithtwopseudolevitatingmagnets
AT krzysztofkecik modelingandenergyrecoveryfromasystemwithtwopseudolevitatingmagnets