Moment-Based Stochastic Analysis of a Bistable Energy Harvester with Matching Network

We discuss the analysis of a piezoelectric energy harvester for random mechanical vibrations, and we assess performance improvement guaranteed by interposing matching network between transducer electrical load, in terms average output power efficiency. The mathematical model describing is system stochastic differential equations, where both cases linear nonlinear devices are considered. In case, delivered to load increased factor about 20 with respect direct connection, similar increase conversion use moment closure technique calculate first- second-order moments electro-mechanical variables weak noise limit. Moment calculation used determine optimal values components that maximize performance. strong limit, state equations integrated numerically same metrics. Our shows properly designed improves significant amount, especially at low intensity.