Modeling and experiment of integrated speed sensor based on laminated magnetic rod

doi:10.3785/j.issn.1008-973X.2025.08.004

Journal of ZheJiang University (Engineering Science)

2025, Vol. 59

Issue (8): 1583-1589 DOI: 10.3785/j.issn.1008-973X.2025.08.004

Modeling and experiment of integrated speed sensor based on laminated magnetic rod

Chuan DING1,2(

),Zishuai ZHU1,2,Ning XIA1,2,Penghui GAO1,2,Shengxiang PEI1,2

1. School of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, China
2. Key Laboratory of Special Purpose Equipment and Advanced Processing Technology, Ministry of Education, Zhejiang University of Technology, Hangzhou 310023, China

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Abstract

A speed sensor based on magnetic induction principles was proposed to improve the integration of hydraulic cylinders with speed sensor. Piston motion was employed to modulate magnetic flux distribution along the cylinder body, with Hall-effect sensors detecting flux variation to realize the measurement of displacement and speed. Eddy currents were mitigated via discretized and laminated magnetic rods to enhance dynamic response inspired by industrial laminated silicon steel stacking techniques. Theoretical analysis and Maxwell 3D simulations verified the influence of lamination thickness on eddy current losses within these rods. Comparative calibration experiments between the novel sensor based on laminated magnetic rod and conventional sensors revealed that the proposed design attained a tracking bandwidth of 5 Hz under sinusoidal flow excitation, while step-flow tests yielded a reduced response latency of 0.30 s. Results verified the feasibility of the optimized sensor configuration.

Key words： hydraulic cylinder speed sensor Maxwell simulation laminated magnetic rod calibration experiment

Received: 11 July 2024 Published: 28 July 2025

CLC:

TP 212

Fund: 国家自然科学基金资助项目（51805480）；浙江省自然科学基金资助项目（ZCLMS25E0502）.

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	Chuan DING
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Cite this article:

Chuan DING,Zishuai ZHU,Ning XIA,Penghui GAO,Shengxiang PEI. Modeling and experiment of integrated speed sensor based on laminated magnetic rod. Journal of ZheJiang University (Engineering Science), 2025, 59(8): 1583-1589.

URL:

https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2025.08.004 OR https://www.zjujournals.com/eng/Y2025/V59/I8/1583

叠片导磁棒式集成化速度传感器的建模与实验

为了提高液压缸与速度传感器之间的集成度，提出基于磁感应式设计理念的速度传感器. 该传感器用液压缸活塞运动改变缸体不同位置的磁通量，用霍尔元件感应磁通量的变化，实现位移和速度的测量. 参考行业内叠压硅钢片的方式，通过将导磁棒离散化再叠片的方式进行涡流抑制来改善传感器的动态性能，通过公式推导和Maxwell三维仿真模型验证叠片厚度对叠片式导磁棒涡流损耗的影响. 使用叠片式导磁棒的新式传感器与标准传感器，开展对比标定实验. 结果表明，当输入正弦流量信号时，使用叠片式导磁棒的新式传感器的复现频率达到5 Hz；当输入阶跃流量信号时，响应滞后时间降至0.30 s. 结果验证了优化方案的可行性.

关键词： 液压缸, 速度传感器, Maxwell仿真, 叠片式导磁棒, 标定实验

Fig.1 Mechanical structure of speed sensor integrated in dynamic cylinder

Fig.2 Theoretical diagram of distribution of magnetic field line when piston is moving

Fig.3 Cross-section of laminated magnetic rod

Fig.4 Monolithic schematic diagram of laminated structure

Fig.5 Trend of magnetic induction intensity at linear hall element

Fig.6 Maxwell three-dimensional simulation model of speed sensor

Tab.1 Physical parameter setting of speed sensor simulation model

Fig.7 Influence of magnetic rod on step signal response under different processing conditions

Fig.8 Influence of lamination thickness on coil induced electromotive force under different frequency sinusoidal signals

Fig.9 Frequency response Bode diagram of magnetic rod with different laminated thickness

Fig.10 Calibration test rig of laminated magnetic rod speed sensor

Tab.2 Performance parameter of experimental instrument of calibration test bench

Fig.11 Comparison of experimental result of steady-state measurement characteristic of laminated magnetic rod

Fig.12 Schematic diagram of experimental result of step response measurement characteristic calibration of laminated magnetic rod

Fig.13 Result diagram of standard sinusoidal measurement characteristic calibration experiment

Fig.14 Frequency response characteristic of laminated magnetic rod speed sensor


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