A new type of cantilever piezoelectric power generation device was designed to collect and use the energy generated by treading of the crowd on the stairs. The electricity generating circuit and mathematical model of the device were established based on resistance RLC. The equivalent circuit and the mathematical model were verified using the vibration experiment platform. The results show that in the condition of low frequency, the output electric power of the device increases with increasing displacement and decreasing frequency. The experimental output voltage of the device is the voltage of the equivalent resistance Z₂, and the ideal voltage calculated by the mathematical model was 2.64-2.88 times of the experimental output voltage. By analyzing and calculating the experimental data, the experimental source voltage that is consistent with theoretical calculation was obtained, and the maximum error was 7.1%, verifying the validity of the circuit and mathematical model for the piezoelectric power generation device and providing reference and guidance for its design.

cantilever beam  /  piezoelectric generator  /  equivalent circuit  /  mathematical model  /  piezoelectric experiment