低频楼梯压电发电装置的数学模型和实验

 为收集和利用密集人群对楼梯的踩踏能量,设计了一种基于低频的新型楼梯压电发电装置,基于RLC 等效内阻建立了该装置的发电电路和数学模型;利用搭建的振动实验平台,对等效电路和数学模型进行实验验证。结果表明,在低频条件下,激励位移越大,频率越小,该压电发电装置输出的电能越大;压电发电单元的实验输出电压为电路中等效电阻Z₂的电压,利用数学模型计算得到的理想电压源电压是实验空载电压的2.64~2.88 倍;通过对实验数据的分析计算,得到了与理论计算电压变化规律相一致的实验电压源电压,两者最大误差为7.1%,验证了该压电发电单元等效发电电路和数学模型的正确性。

Mathematical modeling and experimental study of low-frequency stairs piezoelectric power generation device

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.