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Scaling laws of electromagnetic and piezoelectric seismic vibration energy harvesters built from discrete components
مقررات مقیاس بندی برداشت انرژی لرزه ای الکترومغناطیسی و پیزو الکتریک ساخته شده از اجزای گسسته-2020 This paper presents a theoretical study on the scaling laws of electromagnetic and
piezoelectric seismic vibration energy harvesters, which are assembled from discrete
components. The scaling laws are therefore derived for the so called meso-scale range,
which is typical of devices built from distinct elements. Isotropic scaling is considered for
both harvesters such that the shape of the components and of the whole transducers do
not change with scaling. The scaling analyses are restricted to the case of linearly elastic
seismic transducers subject to tonal ambient vibrations at their fundamental natural frequency,
where the energy harvesting is particularly effective. Both resistive-reactive and
resistive optimal electric harvesting loads are considered. The study is based on equivalent
formulations for the response and power harvesting of the two transducers, which employ
the so called electromagnetic and piezoelectric power transduction factors, P2
cm and P2 pe.
The scaling laws of the transduction coefficients and electrical and mechanical parameters
for the two transducers are first provided. A comprehensive comparative scaling analysis is
then presented for the harvested power, for the power harvesting efficiency and for the
stroke of the two harvesters. Particular attention is dedicated to the scaling laws for the
dissipative effects in the two harvesters, that is the Couette air losses and eddy currents
losses that develop in the electromagnetic harvester and the material, air and dielectric
losses that arise in the piezoelectric harvester. The scaling laws emerged from the study,
are thoroughly examined and interpreted with respect to equivalent mechanical effects
produced by the harvesting loads. Keywords: Seismic vibration energy harvesting | Vibration energy harvesting scaling laws | Electromagnetic seismic vibration harvester | Piezoelectric seismic vibration harvester |
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