Stochastic dynamics of a piezoelectric energy harvester subjected to levy flight excitations

Subramanian Ramakrishnan, Collin Lambrecht, Connor Edlund

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Vibration energy harvesting seeks to exploit the energy of ambient random vibration for power generation, particularly in small scale devices. Piezoelectric transduction is often used as a conversion mechanism in harvesting and the random excitation is typically modeled as a Brownian stochastic process. However, non-Brownian excitations are of potential interest, particularly in the nonequilibrium regime of harvester dynamics. In this work, we investigate the averaged power output of a generic piezoelectric harvester driven by Brownian as well as (non-Brownian) Levy stable excitations both in the linear and the Duffing regimes. First, a coupled system of stochastic differential equations that model the electromechanical system are presented. Numerical simulation results (based on the Euler- Maruyama scheme) that show the average power output from the system under Brownian and Levy excitations are presented for the cases where the mechanical degree of freedom behaves as a linear as well as a Duffing oscillator. The results demonstrate that Levy excitations result in higher expectation values of harvested power. In particular, increasing the noise intensity leads to significant increase in power output in the Levy case when compared with Brownian excitations.

Original languageEnglish (US)
Title of host publicationMechatronics; Estimation and Identification; Uncertain Systems and Robustness; Path Planning and Motion Control; Tracking Control Systems; Multi-Agent and Networked Systems; Manufacturing; Intelligent Transportation and Vehicles; Sensors and Actuators; Diagnostics and Detection; Unmanned, Ground and Surface Robotics; Motion and Vibration Control Applications
PublisherAmerican Society of Mechanical Engineers
ISBN (Electronic)9780791858288
DOIs
StatePublished - Jan 1 2017
EventASME 2017 Dynamic Systems and Control Conference, DSCC 2017 - Tysons, United States
Duration: Oct 11 2017Oct 13 2017

Publication series

NameASME 2017 Dynamic Systems and Control Conference, DSCC 2017
Volume2

Other

OtherASME 2017 Dynamic Systems and Control Conference, DSCC 2017
CountryUnited States
CityTysons
Period10/11/1710/13/17

Fingerprint

Harvesters
Energy harvesting
Random processes
Vibrations (mechanical)
Power generation
Differential equations
Computer simulation

Cite this

Ramakrishnan, S., Lambrecht, C., & Edlund, C. (2017). Stochastic dynamics of a piezoelectric energy harvester subjected to levy flight excitations. In Mechatronics; Estimation and Identification; Uncertain Systems and Robustness; Path Planning and Motion Control; Tracking Control Systems; Multi-Agent and Networked Systems; Manufacturing; Intelligent Transportation and Vehicles; Sensors and Actuators; Diagnostics and Detection; Unmanned, Ground and Surface Robotics; Motion and Vibration Control Applications (ASME 2017 Dynamic Systems and Control Conference, DSCC 2017; Vol. 2). American Society of Mechanical Engineers. https://doi.org/10.1115/DSCC2017-5404

Stochastic dynamics of a piezoelectric energy harvester subjected to levy flight excitations. / Ramakrishnan, Subramanian; Lambrecht, Collin; Edlund, Connor.

Mechatronics; Estimation and Identification; Uncertain Systems and Robustness; Path Planning and Motion Control; Tracking Control Systems; Multi-Agent and Networked Systems; Manufacturing; Intelligent Transportation and Vehicles; Sensors and Actuators; Diagnostics and Detection; Unmanned, Ground and Surface Robotics; Motion and Vibration Control Applications. American Society of Mechanical Engineers, 2017. (ASME 2017 Dynamic Systems and Control Conference, DSCC 2017; Vol. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ramakrishnan, S, Lambrecht, C & Edlund, C 2017, Stochastic dynamics of a piezoelectric energy harvester subjected to levy flight excitations. in Mechatronics; Estimation and Identification; Uncertain Systems and Robustness; Path Planning and Motion Control; Tracking Control Systems; Multi-Agent and Networked Systems; Manufacturing; Intelligent Transportation and Vehicles; Sensors and Actuators; Diagnostics and Detection; Unmanned, Ground and Surface Robotics; Motion and Vibration Control Applications. ASME 2017 Dynamic Systems and Control Conference, DSCC 2017, vol. 2, American Society of Mechanical Engineers, ASME 2017 Dynamic Systems and Control Conference, DSCC 2017, Tysons, United States, 10/11/17. https://doi.org/10.1115/DSCC2017-5404
Ramakrishnan S, Lambrecht C, Edlund C. Stochastic dynamics of a piezoelectric energy harvester subjected to levy flight excitations. In Mechatronics; Estimation and Identification; Uncertain Systems and Robustness; Path Planning and Motion Control; Tracking Control Systems; Multi-Agent and Networked Systems; Manufacturing; Intelligent Transportation and Vehicles; Sensors and Actuators; Diagnostics and Detection; Unmanned, Ground and Surface Robotics; Motion and Vibration Control Applications. American Society of Mechanical Engineers. 2017. (ASME 2017 Dynamic Systems and Control Conference, DSCC 2017). https://doi.org/10.1115/DSCC2017-5404
Ramakrishnan, Subramanian ; Lambrecht, Collin ; Edlund, Connor. / Stochastic dynamics of a piezoelectric energy harvester subjected to levy flight excitations. Mechatronics; Estimation and Identification; Uncertain Systems and Robustness; Path Planning and Motion Control; Tracking Control Systems; Multi-Agent and Networked Systems; Manufacturing; Intelligent Transportation and Vehicles; Sensors and Actuators; Diagnostics and Detection; Unmanned, Ground and Surface Robotics; Motion and Vibration Control Applications. American Society of Mechanical Engineers, 2017. (ASME 2017 Dynamic Systems and Control Conference, DSCC 2017).
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