Application of Bond Graphs in Modelling of the Energy Harvesting Systems from Vibrating Mechanical Devices

Abstract: This chapter presents the results of computer simulations of the system of energy harvesting from vibrating mechanical devices. Detailed model tests were carried out for the system of cantilever beams coupled with elastic elements. The end of one vibrating element is loaded with a permanent magnet, which defines a non-linear potential characteristic with the fixed permanent magnets mounted in the housing. Based on the formulated linear mathematical model, the surfaces representing the sensitivity of the system were drawn with regard to its selected parameters. However, in relation to the non-linear system, the results of model tests were presented in the form of an indicator characterizing the efficiency of energy generation. The RMS value of the voltage induced on the piezoelectric electrodes was adopted as an indicator. The method of bond graphs was used to derive mathematical models. The system of equations achieved in this systematic way is elegant and clearly formed, which also induces its correctness. The obtained results of computer simulations indicate that the effective energy harvesting in a non-linear system is almost double that of a linear one.

. Fig. 1.1 Schematic diagram of the examined energy harvesting system

Authors: Jerzy Margielewicz, Damian G˛aska, Grzegorz Litak, Tomasz Haniszewski

This paper was published in: © Springer Nature Switzerland AG 2022

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ehDialog This work was supported by the program of the Ministry of Science and Higher Education in Poland under the project DIALOG 0019/DLG/2019/10 in the years 2019-2021.