Application of piezo-electric effect

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The discussion centers on the feasibility of using a piezo-electric crystal to charge a small battery while simultaneously supplying current to a load. It raises concerns about whether the same battery can be used for both charging and discharging, given the battery's need to provide current for short periods. Participants suggest that directly connecting the load to the battery may be possible, but caution that piezo-electric devices typically generate high voltage at low current. Additionally, the potential for feeding back vibrations from the load to recharge the piezo-electric crystal is explored, with references to relevant projects and resources. Overall, the conversation emphasizes the complexities and limitations of integrating piezo-electric systems with battery technology.
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Can I use the piezo-electric crystal to charge a small battery and connect the battery to a load.
The problem here is that the battery has to supply current to the load for a short period. Then it has to be recharged by the crystal. will I be able to use the same battery for charging and discharging?

The circuit for piezo-electric storage found in the internet is http://ej.iop.org/images/0957-0233/23/1/015101/Full/mst399991fig10.jpg

Should I directly connect the load to the battery.

Can I be able to feed back the vibration produced by the load to PZT and hence using it for charging the battery
 
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I was using the Smith chart to determine the input impedance of a transmission line that has a reflection from the load. One can do this if one knows the characteristic impedance Zo, the degree of mismatch of the load ZL and the length of the transmission line in wavelengths. However, my question is: Consider the input impedance of a wave which appears back at the source after reflection from the load and has traveled for some fraction of a wavelength. The impedance of this wave as it...
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