一种基于复杂永磁体阵列的悬浮式振动能量采集器的精确模型及验证

doi:10.3901/JME.2022.20.128

机械工程学报 ›› 2022, Vol. 58 ›› Issue (20): 128-136.doi: 10.3901/JME.2022.20.128

• 特邀专栏：振动俘能器件与系统 • 上一篇下一篇

扫码分享

一种基于复杂永磁体阵列的悬浮式振动能量采集器的精确模型及验证

王心怡¹, 王俊元¹, 张易霖², 陈小明³, 陶凯⁴, 李运甲¹

1. 西安交通大学电气工程学院西安 710049;
2. 西安邮电大学电子工程学院西安 710061;
3. 西安交通大学机械工程学院西安 710049;
4. 西北工业大学机电学院西安 710072

收稿日期:2022-01-08 修回日期:2022-06-30 出版日期:2022-10-20 发布日期:2022-12-27
通讯作者: 李运甲(通信作者)，男，1984年出生，博士，副教授，博士研究生导师。主要研究方向为MEMS传感器、静电执行器、电磁执行器，微型能量采集器和MEMS器件的封装与系统集成。E-mail：liyunjia@xjtu.edu.cn
作者简介:王心怡，女，1995年出生，博士研究生。主要研究方向为MEMS传感器和能量采集器。E-mail：xywang@stu.xjtu.edu.cn;王俊元，女，2000年出生，硕士研究生。主要研究方向为能量采集器。E-mail：wangjunyuan@stu.xjtu.edu.cn

Accurate Model and Verification of Suspended Vibration Energy Harvester Based on Complex Permanent Magnet Array

WANG Xinyi¹, WANG Junyuan¹, ZHANG Yilin², CHEN Xiaoming³, TAO Kai⁴, LI Yunjia¹

1. School of Electrical Engineering, Xi'an Jiao Tong University, Xi'an 710049;
2. School of Electronic Engineering, Xi'an University of Posts & Telecommunications, Xi'an 710061;
3. School of Mechanical Engineering, Xi'an Jiao Tong University, Xi'an 710049;
4. School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072

Received:2022-01-08 Revised:2022-06-30 Online:2022-10-20 Published:2022-12-27

摘要/Abstract

摘要： 为提高振动能量采集器的输出性能和工作频带，基于永磁体阵列和多自由度器件受到广泛关注。然而这类器件存在磁场分布复杂，动态特性难以模拟等问题。以一种基于复杂永磁体阵列的可调频磁悬浮振动能量采集器为研究对象，建立器件解析模型和有限元模型的联合分析模型，理论模型显示系统具有非线性振动特性，其动力学模型可简化为Duffing方程形式，并通过有限元模型简化了对非线性系统的分析。利用COMSOL有限元仿真研究器件磁场分布、非线性磁力特性，分析磁力和线圈位置对器件输出特性的影响。搭建测试平台对研制的可调频磁悬浮振动能量采集器进行试验表征，以验证联合分析模型。试验结果表明，在20～35 mm的固定磁铁间距离变化范围内，器件谐振频率变化范围为8.6～13.1 Hz，0.35g加速度下输出电压峰峰值为352.9～658.2 mV，联合分析模型与试验之间具有一致性。

关键词: 磁悬浮, 能量采集器, 非线性系统, 频率调节

Abstract: In order to improve the output performance and operating frequency bandwidth of vibration energy harvesters, the devices based on permanent magnet arrays and multi-degree-of-freedom devices have received extensive attention. However, the complex magnetic field distribution and difficult to simulate dynamic characteristics are problems of such devices. For a tuneable resonance frequency magnetic levitation vibration energy harvester based on complex permanent magnet array, a joint analysis model of the device’s analytical model and finite element model is established. The system’s nonlinear vibration characteristics is shown by theoretical model, and its dynamic model can be simplified to Duffing’s equation. The analysis of nonlinear systems can also be simplified by the Finite Element Method model. The magnetic field distribution and nonlinear magnetic characteristics of the device are studied by using COMSOL finite element simulation, and the influence of magnetic force and coil position on the output characteristics of the device is analyzed. A test platform is built to perform experimental characterization of the developed tuneable resonance frequency magnetic levitation vibration energy harvester to verify the joint analysis model. The results show that the resonance frequency of the device varies from 8.6 Hz to 13.1 Hz within the range of distance between two fixed magnets from 20 mm to 35 mm. Under the acceleration of 0.35g, the peak-to-peak output voltage ranges from 352.9 mV to 658.2 mV. It is consistent between the joint analysis model and the experiment.

Key words: magnetic levitation, energy harvester, nonlinear systems, frequency tuning

中图分类号:

王心怡, 王俊元, 张易霖, 陈小明, 陶凯, 李运甲. 一种基于复杂永磁体阵列的悬浮式振动能量采集器的精确模型及验证[J]. 机械工程学报, 2022, 58(20): 128-136.

WANG Xinyi, WANG Junyuan, ZHANG Yilin, CHEN Xiaoming, TAO Kai, LI Yunjia. Accurate Model and Verification of Suspended Vibration Energy Harvester Based on Complex Permanent Magnet Array[J]. Journal of Mechanical Engineering, 2022, 58(20): 128-136.

导出引用管理器 EndNote|Reference Manager|ProCite|BibTeX|RefWorks

链接本文: http://www.cjmenet.com.cn/CN/10.3901/JME.2022.20.128

http://www.cjmenet.com.cn/CN/Y2022/V58/I20/128

参考文献

[1] GAO Mingyuan，CONG Jianli，XIAO Jieling，et al. Dynamic modeling and experimental investigation of self-powered sensor nodes for freight rail transport[J]. Applied Energy，2020，257:113969
[2] ASKARI H，ASADI E，SAADATNIA Z，et al. A hybridized electromagnetic-triboelectric self-powered sensor for traffic monitoring:Concept，modelling，and optimization[J]. Nano Energy，2017，32:105-116.
[3] NGUYEN H T，GENOV D A，BARDAWEEL H. Vibration energy harvesting using magnetic spring based nonlinear oscillators: Design strategies and insights[J]. Applied Energy，2020，269:115102.
[4] KECIK K，KOWALCZUK M. Effect of nonlinear electromechanical coupling in magnetic levitation energy harvester[J]. Energies，2021，14(9):2715.
[5] ADAMSKI K，WALCZAK R. Pendulum base 3D printed electromagnetic energy harvester[C]//18th International Conference on Micro and Nanotechnology for Power Generation and Energy Conversion Applications，December 4-7，2018，Daytona Beach，Florida，USA，Journal of Physics:Conference Series，2019:012114.
[6] ZHAO Linchuan，ZOU Hongxiang，GAO Qiuhua，et al. Magnetically modulated orbit for human motion energy harvesting[J]. Applied Physics Letters，2019，115:263902.
[7] YU Ning，MA Hongye，WU Chuanyu，et al. Modeling and experimental investigation of a novel bistable two-degree-of-freedom electromagnetic energy harvester[J]. Mechanical Systems and Signal Processing，2021，156:107608.
[8] FAN Kangqi，LIANG Geng，ZHANG Yiwei，et al. Hybridizing linear and nonlinear couplings for constructing two-degree-of-freedom electromagnetic energy harvesters[J]. International Journal of Energy Research，2019，43:8004-8019.
[9] FOISAL A，HONG C，CHUNG G S. Multi-frequency electromagnetic energy harvester using a magnetic spring cantilever[J]. Sensors & Actuators A Physical，2012，182:106-113.
[10] HE Wei，QU Chiwen. A magnetically levitated magnetoelectric vibration generator using a Halbach array[J]. Sensors and Actuators A:Physical，2020，315:112301.
[11] SALAUDDIN M，PARK J Y. Design and experiment of human hand motion driven electromagnetic energy harvester using dual Halbach magnet array[J]. Smart Material Structures，2017，26:035011.
[12] KIM J W，SALAUDDIN M，CHO H，et al. Electromagnetic energy harvester based on a finger trigger rotational gear module and an array of disc Halbach magnets[J]. Applied Energy，2019，250:776-785.
[13] ROCHA R T，BALTHAZAR J M，TUSSET A M，et al. On a non-ideal magnetic levitation system: nonlinear dynamical behavior and energy harvesting analyses[J]. Nonlinear Dynamics，2019，95:3423-3438.
[14] GREEN P L，WORDEN K，TALLAH K A，et al. The effect of Duffing-type non-linearities and Coulomb damping on the response of an energy harvester to random excitations[J]. Journal of Intelligent Material Systems and Structures，2012，23(18):2039-2054.
[15] XU Zhenlong，SHAN Xiaobiao，CHEN Danpeng，et al. A novel tunable multi-frequency hybrid vibration energy harvester using piezoelectric and electromagnetic conversion mechanisms[J]. Applied Sciences，2016，6(1):10.
[16] YUNG K W，LANDECKER P B，VILLANI D D. An analytic solution for the force between two magnetic dipoles[J]. Magnetic and Electrical Separation，1998，9:39-52.
[17] MANN B P，SIMS N D. Energy harvesting from the nonlinear oscillations of magnetic levitation[J]. Journal of Sound & Vibration，2009，319:515-530.
[18] LI Yunjia，ZHOU Chenyuan，WANG Xinyi，et al. Electromagnetic vibration energy harvester with tunable resonance frequency based on stress modulation of flexible springs[J]. Micromachines，2021，12(9):1130.
[19] BOUHEDMA S，ZHENG Yuhang，LANGE F，et al. Magnetic frequency tuning of a multimodal vibration energy harvester[J]. Sensors，2019，19(5):1149.
[20] JACKSON N. Tuning and widening the bandwidth of vibration energy harvesters using a ferrofluid embedded mass[J]. Microsystem Technologies，2020，26:2043-2051.
[21] LEE B C，CHUNG G S. Frequency tuning design for vibration-driven electromagnetic energy harvester[J]. IET Renewable Power Generation，2015，9(7):801-808.

一种基于复杂永磁体阵列的悬浮式振动能量采集器的精确模型及验证

Accurate Model and Verification of Suspended Vibration Energy Harvester Based on Complex Permanent Magnet Array

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	徐园平, 张迎澳, 江琦琦, 周瑾, 王鸣昕. 电磁-抗磁混合悬浮式倾角传感器设计研究[J]. 机械工程学报, 2026, 62(7): 234-243.
[2]	邓自刚, 胡啸, 王潇飞, 李宗澎, 张卫华. 真空管道磁浮交通试验平台建设及管内气动特性研究进展[J]. 机械工程学报, 2025, 61(2): 181-197.
[3]	周春辉, 任志英, 林有希, 李帅军, 石先杰, 杜鹏程. 基于混合打靶-谐波平衡法研究金属橡胶隔振系统冲击响应[J]. 机械工程学报, 2025, 61(11): 183-193.
[4]	黄尊地, 周镇斌, 常宁. 磁悬浮列车外形及制式对管道激波流场的影响分析[J]. 机械工程学报, 2025, 61(10): 386-394.
[5]	周宇洋, 张海彬, 陈渊博, 李康康, 汪御飞, 王光庆. 多场耦合作用下旋转振动能量采集器的自调谐增强动力学行为研究[J]. 机械工程学报, 2025, 61(10): 495-511.
[6]	赵川, 孙凤, 金俊杰, 徐方超, 张明, OKA Koichi. 混合磁悬浮系统零功率抗偏载控制方法研究[J]. 机械工程学报, 2024, 60(8): 360-369.
[7]	孙文彪, 熊万里, 原帅, 曾旭, 汪剑. 磁化效应对高速磁悬浮外圆磨削电主轴回转精度影响规律研究[J]. 机械工程学报, 2024, 60(23): 236-245.
[8]	吴馥云, 程卫, 李高宁, 吕建国. 基于模型预测的光伏参与电网调频方法研究^*[J]. 电气工程学报, 2023, 18(3): 348-357.
[9]	赵川, 孙凤, 裴文哲, 金俊杰, 徐方超, OKA Koichi, 于溯源. 永磁悬浮技术的实现机理与发展现状[J]. 机械工程学报, 2023, 59(17): 189-207.
[10]	马光同, 曾靖淞, 冯丕极, 闫兆盈, 张伟海. 超导电动磁悬浮列车次级悬挂混合阻尼半主动减振控制研究[J]. 机械工程学报, 2023, 59(10): 236-249.
[11]	程杨, 潘尚峰. 一种多自由度康复外骨骼机械臂的虚拟分解控制[J]. 机械工程学报, 2022, 58(9): 21-30.
[12]	朱志莹, 张巍, 朱海浪, 邵淋晶. 轴向永磁磁悬浮飞轮电机损耗计算与温度场分析^*[J]. 电气工程学报, 2022, 17(4): 174-180.
[13]	欧阳智海, 康辉民, 刘厚才, 段良辉, 曹正, 周岳, 蒋冠, 李旺. 磁悬浮铣削电主轴转子-刀具变质量不平衡系统动态特性研究[J]. 机械工程学报, 2022, 58(23): 306-320.
[14]	李超, 谢振宇, 吴传响, 王一建. 磁悬浮轴承非定向差动控制方式研究[J]. 机械工程学报, 2022, 58(21): 161-170.
[15]	罗忠, 周广泽, 朱云鹏, 高屹, 李雷. 基于正交匹配追踪算法的复杂系统动力学建模与分析[J]. 机械工程学报, 2022, 58(19): 86-94.