Analytical Force and Flux for a One-Dimensional Electromagnetic Vibration Energy Harvester

Carlos Enrique Imbaquingo Muñoz; Marco Beleggia; Andrea Roberto Insinga; Christian Bahl; Brian Mann; Rasmus Bjørk

doi:10.1109/TMAG.2020.3024734

Analytical Force and Flux for a One-Dimensional Electromagnetic Vibration Energy Harvester

Carlos Enrique Imbaquingo Muñoz^*
, Marco Beleggia
, Andrea Roberto Insinga
, Christian Bahl
, Brian Mann
, Rasmus Bjørk

^*Corresponding author for this work

Duke University
Technical University of Denmark

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

A Vibration Energy Harvester (VEH) converts the kinetic energy of a moving source into electrical energy. Here we consider a one-dimensional electromagnetic vibration energy harvester (1D-EMVEH) which consists of three coaxial cylindrical permanent magnets enclosed in a tube, such that the middle magnet is levitating. The resulting movement of the middle magnet can then induce an electromotive force (emf) in one or more surrounding coils. Using an analytical model, we derive expressions for the 1D-EMVEHs characteristic frequency and output power by using Fourier space approach. First, the magnetostatic energy of the system as a function of the position of the levitating magnet is calculated. Its spatial gradient gives the force acting on a magnet, which drives its dynamics. Next, more accurate magnetic flux and emf expressions are obtained. The results are compared with experimental measurements, revealing an excellent agreement.

Original language	English
Article number	8000906
Journal	IEEE Transactions on Magnetics
Volume	56
Issue number	11
Number of pages	6
ISSN	0018-9464
DOIs	https://doi.org/10.1109/TMAG.2020.3024734
Publication status	Published - 2020

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title = "Analytical Force and Flux for a One-Dimensional Electromagnetic Vibration Energy Harvester",

abstract = "A Vibration Energy Harvester (VEH) converts the kinetic energy of a moving source into electrical energy. Here we consider a one-dimensional electromagnetic vibration energy harvester (1D-EMVEH) which consists of three coaxial cylindrical permanent magnets enclosed in a tube, such that the middle magnet is levitating. The resulting movement of the middle magnet can then induce an electromotive force (emf) in one or more surrounding coils. Using an analytical model, we derive expressions for the 1D-EMVEHs characteristic frequency and output power by using Fourier space approach. First, the magnetostatic energy of the system as a function of the position of the levitating magnet is calculated. Its spatial gradient gives the force acting on a magnet, which drives its dynamics. Next, more accurate magnetic flux and emf expressions are obtained. The results are compared with experimental measurements, revealing an excellent agreement.",

author = "\{Imbaquingo Mu{\~n}oz\}, \{Carlos Enrique\} and Marco Beleggia and Insinga, \{Andrea Roberto\} and Christian Bahl and Brian Mann and Rasmus Bj{\o}rk",

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T1 - Analytical Force and Flux for a One-Dimensional Electromagnetic Vibration Energy Harvester

AU - Imbaquingo Muñoz, Carlos Enrique

AU - Beleggia, Marco

AU - Insinga, Andrea Roberto

AU - Bahl, Christian

AU - Mann, Brian

AU - Bjørk, Rasmus

PY - 2020

Y1 - 2020

N2 - A Vibration Energy Harvester (VEH) converts the kinetic energy of a moving source into electrical energy. Here we consider a one-dimensional electromagnetic vibration energy harvester (1D-EMVEH) which consists of three coaxial cylindrical permanent magnets enclosed in a tube, such that the middle magnet is levitating. The resulting movement of the middle magnet can then induce an electromotive force (emf) in one or more surrounding coils. Using an analytical model, we derive expressions for the 1D-EMVEHs characteristic frequency and output power by using Fourier space approach. First, the magnetostatic energy of the system as a function of the position of the levitating magnet is calculated. Its spatial gradient gives the force acting on a magnet, which drives its dynamics. Next, more accurate magnetic flux and emf expressions are obtained. The results are compared with experimental measurements, revealing an excellent agreement.

AB - A Vibration Energy Harvester (VEH) converts the kinetic energy of a moving source into electrical energy. Here we consider a one-dimensional electromagnetic vibration energy harvester (1D-EMVEH) which consists of three coaxial cylindrical permanent magnets enclosed in a tube, such that the middle magnet is levitating. The resulting movement of the middle magnet can then induce an electromotive force (emf) in one or more surrounding coils. Using an analytical model, we derive expressions for the 1D-EMVEHs characteristic frequency and output power by using Fourier space approach. First, the magnetostatic energy of the system as a function of the position of the levitating magnet is calculated. Its spatial gradient gives the force acting on a magnet, which drives its dynamics. Next, more accurate magnetic flux and emf expressions are obtained. The results are compared with experimental measurements, revealing an excellent agreement.

U2 - 10.1109/TMAG.2020.3024734

DO - 10.1109/TMAG.2020.3024734

M3 - Journal article

SN - 0018-9464

VL - 56

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 11

M1 - 8000906

ER -

Analytical Force and Flux for a One-Dimensional Electromagnetic Vibration Energy Harvester

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