Analysis of single-degree-of-freedom piezoelectric energy harvester with stopper by incremental harmonic balance method
Analysis of single-degree-of-freedom piezoelectric energy harvester with stopper by incremental harmonic balance method
复制标题
增量谐波平衡法分析带制动器的单自由度压电能量收集器
DOI：
10.1088/2053-1591/aabefc
复制
发表时间：
2018-05-01
影响因子：
2.3
通讯作者：
Cheng, Qianju
中科院分区：
文献类型：
--
作者：
Zhao, Dan;Wang, Xiaoman;Cheng, Qianju
分段线性结构可以有效地拓宽压电能量采集器的工作频带，其研究的完善可以促进能量收集装置的实用化进程，满足微电子元器件供电的要求。针对压电式能量采集器复杂、困难的分析过程，本文引入了增量式谐波平衡法来解决这些问题。通过数学建模得到了单自由度分段线性能量采集器的非线性动力学方程，并用IHB法进行了求解，得到了开路电压的理论幅频曲线。在0.2g简谐激励下，对分段线性能量采集器进行了单向增频扫描试验。结果表明，理论幅值与实验幅值的变化趋势一致，高压输出的工作频带宽度分别为4.9 Hz和4.7 Hz，相对误差为4.08%。开路输出峰值电压分别为21.53V和18.25V，相对误差为15.23%。由于理论值与实验结果吻合较好，因此本文所采用的理论模型和增量式谐波平衡法适用于单自由度分段线性压电式能量采集器的求解，可用于进一步的参数优化设计。
Piecewise-linear structure can effectively broaden the working frequency band of the piezoelectric energy harvester, and improvement of its research can promote the practical process of energy collection device to meet the requirements for powering microelectronic components. In this paper, the incremental harmonic balance (IHB) method is introduced for the complicated and difficult analysis process of the piezoelectric energy harvester to solve these problems. After obtaining the nonlinear dynamic equation of the single-degree-of-freedom piecewise-linear energy harvester by mathematical modeling and the equation is solved based on the IHB method, the theoretical amplitude-frequency curve of open-circuit voltage is achieved. Under 0.2 g harmonic excitation, a piecewise-linear energy harvester is experimentally tested by unidirectional frequency-increasing scanning. The results demonstrate that the theoretical and experimental amplitudes have the same trend, and the width of the working band with high voltage output are 4.9 Hz and 4.7 Hz, respectively, and the relative error is 4.08%. The open-output peak voltage are 21.53 V and 18.25 V, respectively, and the relative error is 15.23%. Since the theoretical value is consistent with the experimental results, the theoretical model and the incremental harmonic balance method used in this paper are suitable for solving single-degree-of-freedom piecewise-linear piezoelectric energy harvester and can be applied to further parameter optimized design.