该文针对悬臂结构基于电势叠加原理,构建悬臂能量收集的电性能数学模型,并提出带电区域内连续分布电荷的电势积分累加数学模型。划分3个区域来讨论悬臂振动响应、开路电压和短路电流的相关性特征,建立悬臂结构在声能激励下的电性能特征表达。所得理论结果与有限元仿真和已公开试验数据进行对比验证。以悬臂梁摆动夹角0.8°、最大分离距离为14.6 mm为边界条件,理论计算平均开路电压峰值168.2 V、平均短路电流峰值为12.7 μA,接近已公开试验的开路电压峰值183.1 V、短路电流峰值10.9 μA和有限元仿真结果,验证该模型在柔性微纳结构耦合介电特性的有效性。
Abstract
This paper establishes a mathematical model for the electrical behaviour of cantilever-based harvesters using the principle of electric potential superposition. This research proposes a computational framework to compute the cumulative electric potential generated by continuously distributed charges within electrified domains. By partitioning the system into three distinct regions, the proposed method systematically analyses the interrelations among cantilever vibration dynamics, open-circuit voltage, and short-circuit current, culminating in an analytical expression for the electrical performance of cantilever structures under acoustic excitation. The theoretical predictions are validated against finite element simulations and published experimental data. Under boundary conditions of a 0.8° oscillation angle and 14.6 mm maximum displacement, the model yields average open-circuit voltage and short-circuit current peaks of 168.2 V and 12.7 μA, respectively. These results align closely with experimental measurements （183.1 V and 10.9 μA） and simulation outcomes, confirming the model’s efficacy in characterizing the coupled dielectric behaviour of flexible micro-nano architectures.
关键词
能量收集 /
复合材料 /
电介质材料 /
柔性膜片振动响应 /
悬臂夹角 /
电势积分累加模型 /
平均电势
Key words
energy harvesting /
composite materials /
dielectric materials /
vibration response of flexible films /
cantilever angle /
potential integral accumulation model /
average potential
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参考文献
[1] FAN F R, TIAN Z Q, WANG Z L.Flexible triboelectric generator[J]. Nano energy, 2012, 1(2): 328-334.
[2] YANG J, CHEN J, YANG Y, et al.Broadband vibrational energy harvesting based on a triboelectric nanogenerator[J]. Advanced energy materials, 2014, 4(6): 1301322.
[3] NIU S M, WANG S H, LIN L, et al.Theoretical study of contact-mode triboelectric nanogenerators as an effective power source[J]. Energy & environmental science, 2013, 6(12): 3576-3583.
[4] DHARMASENA R D I G, JAYAWARDENA K D G I, MILLS C A, et al. Triboelectric nanogenerators: providing a fundamental framework[J]. Energy & environmental science, 2017, 10(8): 1801-1811.
[5] XU Y, MIN G B, GADEGAARD N, et al.A unified contact force-dependent model for triboelectric nanogenerators accounting for surface roughness[J]. Nano energy, 2020, 76: 105067.
[6] LI H D, TIAN C, DENG Z D.Energy harvesting from low frequency applications using piezoelectric materials[J]. Applied physics reviews, 2014, 1(4): 041301.
[7] IQBAL M, KHAN F.Hybrid acoustic, vibration, and wind energy harvester using piezoelectric transduction for self-powered wireless sensor node applications[J]. Energy conversion and management, 2023, 277: 116635.
[8] ZHAO Z H, ZHOU L L, LI S X, et al.Selection rules of triboelectric materials for direct-current triboelectric nanogenerator[J]. Nature communications, 2021, 12: 4686.
[9] GUO H Y, HE X M, ZHONG J W, et al.A nanogenerator for harvesting airflow energy and light energy[J]. Journal of materials chemistry A, 2014, 2(7): 2079-2087.
[10] 孙震洲, 陈杰峰, 崔莹, 等. 海上升压站Laplace域振动响应预报方法研究[J]. 太阳能学报, 2022, 43(5): 270-277.
SUN Z Z, CHEN J F, CUI Y, et al.Research on Laplace domain method for dynamic response prediction of offshore substation[J]. Acta energiae solaris sinica, 2022, 43(5): 270-277.
[11] 王龙威, 李如, 豆红强,等. 平单轴光伏跟踪支架-基础受荷特性与优化设计[J]. 太阳能学报, 2024, 45(10): 345-353.
WANG L W, LI R, DOU H Q, et al.Loading performances and optimal design of bracket-foundation of flat uniaxial photovoltaic trackers[J]. Acta energiae solaris sinica, 2024, 45(10): 345-353.
[12] 王泽栋, 王靛, 漆良文, 等. 考虑大变形的柔性风电叶片气弹性分析[J]. 太阳能学报, 2024, 45(2): 143-151.
WANG Z D, WANG D, QI L W, et al.Dynamic response of flexible wind turbine blades considering large-deflection[J]. Acta energiae solaris sinica, 2024, 45(2): 143-151.
[13] REN Z W, WU L T, ZHANG J J, et al.Trapezoidal cantilever-structure triboelectric nanogenerator integrated with a power management module for low-frequency vibration energy harvesting[J]. ACS applied materials & interfaces, 2022, 14(4): 5497-5505.
[14] NIU S M, LIU Y, WANG S H, et al.Theoretical investigation and structural optimization of single-electrode triboelectric nanogenerators[J]. Advanced functional materials, 2014, 24(22): 3332-3340.
[15] WANG L, ZHAO L B, JIANG Z D, et al.High accuracy comsol simulation method of bimorph cantilever for piezoelectric vibration energy harvesting[J]. AIP advances, 2019, 9(9): 095067.
[16] BIAN Y X, JIANG T, XIAO T X, et al.Triboelectric nanogenerator tree for harvesting wind energy and illuminating in subway tunnel[J]. Advanced materials technologies, 2018, 3(3): 1700317.
基金
上海市水产动物良种创制与绿色养殖协同创新中心项目（2021科技02-12）
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