Stochastic Thermodynamics of an Electromagnetic Energy Harvester

We study the power extracted by an electromagnetic energy harvester driven by broadband vibrations. We describe the system with a linear model, featuring an underdamped stochastic differential equation for an effective mass in a harmonic potential, coupled electromechanically with the current in the...

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Main Authors: Luigi Costanzo, Alessandro Lo Schiavo, Alessandro Sarracino, Massimo Vitelli
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/9/1222
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author Luigi Costanzo
Alessandro Lo Schiavo
Alessandro Sarracino
Massimo Vitelli
author_facet Luigi Costanzo
Alessandro Lo Schiavo
Alessandro Sarracino
Massimo Vitelli
author_sort Luigi Costanzo
collection DOAJ
description We study the power extracted by an electromagnetic energy harvester driven by broadband vibrations. We describe the system with a linear model, featuring an underdamped stochastic differential equation for an effective mass in a harmonic potential, coupled electromechanically with the current in the circuit. We compare the characteristic curve (power vs. load resistance) obtained in experiments for several values of the vibration amplitude with the analytical results computed from the model. Then, we focus on a more refined analysis, taking into account the temporal correlations of the current signal and the fluctuations of the extracted power over finite times. We find a very good agreement between the analytical predictions and the experimental data, showing that the linear model with effective parameters can describe the real system, even at the fine level of fluctuations. Our results could be useful in the framework of stochastic thermodynamics applied to energy harvesting systems.
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spelling doaj.art-441933fba47d4c3eb549f5489545f6b82023-11-23T16:08:01ZengMDPI AGEntropy1099-43002022-08-01249122210.3390/e24091222Stochastic Thermodynamics of an Electromagnetic Energy HarvesterLuigi Costanzo0Alessandro Lo Schiavo1Alessandro Sarracino2Massimo Vitelli3Department of Engineering, University of Campania “Luigi Vanvitelli”, 81031 Aversa, ItalyDepartment of Engineering, University of Campania “Luigi Vanvitelli”, 81031 Aversa, ItalyDepartment of Engineering, University of Campania “Luigi Vanvitelli”, 81031 Aversa, ItalyDepartment of Engineering, University of Campania “Luigi Vanvitelli”, 81031 Aversa, ItalyWe study the power extracted by an electromagnetic energy harvester driven by broadband vibrations. We describe the system with a linear model, featuring an underdamped stochastic differential equation for an effective mass in a harmonic potential, coupled electromechanically with the current in the circuit. We compare the characteristic curve (power vs. load resistance) obtained in experiments for several values of the vibration amplitude with the analytical results computed from the model. Then, we focus on a more refined analysis, taking into account the temporal correlations of the current signal and the fluctuations of the extracted power over finite times. We find a very good agreement between the analytical predictions and the experimental data, showing that the linear model with effective parameters can describe the real system, even at the fine level of fluctuations. Our results could be useful in the framework of stochastic thermodynamics applied to energy harvesting systems.https://www.mdpi.com/1099-4300/24/9/1222electromagnetic energy harvesterstochastic thermodynamicswork fluctuationscorrelation functions
spellingShingle Luigi Costanzo
Alessandro Lo Schiavo
Alessandro Sarracino
Massimo Vitelli
Stochastic Thermodynamics of an Electromagnetic Energy Harvester
Entropy
electromagnetic energy harvester
stochastic thermodynamics
work fluctuations
correlation functions
title Stochastic Thermodynamics of an Electromagnetic Energy Harvester
title_full Stochastic Thermodynamics of an Electromagnetic Energy Harvester
title_fullStr Stochastic Thermodynamics of an Electromagnetic Energy Harvester
title_full_unstemmed Stochastic Thermodynamics of an Electromagnetic Energy Harvester
title_short Stochastic Thermodynamics of an Electromagnetic Energy Harvester
title_sort stochastic thermodynamics of an electromagnetic energy harvester
topic electromagnetic energy harvester
stochastic thermodynamics
work fluctuations
correlation functions
url https://www.mdpi.com/1099-4300/24/9/1222
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AT massimovitelli stochasticthermodynamicsofanelectromagneticenergyharvester