Transient analysis of a current driven full wave AC/DC converter for indirect characterisation of piezoelectric devices during energy harvesting
This paper provides a new approach to extract piezoelectric energy harvester properties, namely capacitance and current, from the increase of voltage with time on a storage capacitor after full wave rectification. The work provides a derivation of a more complete expression for the development of the output voltage with time, from which the equilibrium expression employed in earlier publications appears as a limiting case. This new formulation enables an accurate estimate of the sinusoidal driving current and the shunt capacitance to be made without recourse to direct measurement. Using the analysis with both simulated and experimental data, a four-step procedure is proposed that requires only the measurement of the initial slope of the voltage-time profile and the final settling value. This approach allows the much studied method of converting the piezoelectric output into charge stored on a capacitor to provide a unique indirect measurement method of the driving current and device capacitance under the conditions of frequency, temperature, stress and strain experienced by the piezoelectric energy harvester during operation.