Equivalent Linearization Analysis of Electromagnetic Energy Harvesters Subjected to Gaussian White Noise

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Abstract

The output performance of an electromagnetic inductive energy harvester under Gaussian white noise excitations is investigated in this paper. Equivalent linearization method is applied to derive the statistical moment of the system with symmetric quartic potential functions, including the mean square value of displacement and output current. According to the theoretical results, the influence of noise intensity and internal system parameters on the response of the generators subject to Gaussian white noise excitations is emphasized. In order to consider the asymmetric and higher-order potentials, the Fokker-Plank-Kolmogorov (FPK) equation is solved based on the theory of detailed balance, and it is indicated that the mean square value of output current is independent of the shape of potential energy function.

Original languageEnglish
Title of host publicationAdvances in Applied Nonlinear Dynamics, Vibration and Control - 2021 - The proceedings of 2021 International Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021
EditorsXingjian Jing, Hu Ding, Jiqiang Wang
PublisherSpringer Science and Business Media Deutschland GmbH
Pages409-420
Number of pages12
ISBN (Print)9789811659119
DOIs
StatePublished - 2022
EventInternational Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021 - Hong Kong, Hong Kong
Duration: 23 Aug 202125 Aug 2021

Publication series

NameLecture Notes in Electrical Engineering
Volume799 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

ConferenceInternational Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021
Country/TerritoryHong Kong
CityHong Kong
Period23/08/2125/08/21

Keywords

  • Electromagnetic generator
  • Equivalent linearization
  • FPK equation
  • Gaussian white noise
  • Monostable

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