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

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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.

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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

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