电工技术学报  2025, Vol. 40 Issue (2): 387-397    DOI: 10.19595/j.cnki.1000-6753.tces.232049
电工理论 |
基于模和阻抗角的自感式位移传感器阻抗建模
陈信维1, 李红伟1, 任宗强2, 于文涛1, 丁印恕3
1.山东大学电气工程学院 济南 250061;
2.西安交通大学电气工程学院 西安 710049;
3.山东明天机械集团股份有限公司 济南 250200
Improved Impedance Modeling of Self-Inductive Displacement Sensor Based on the Modulus and Angle of the Coil Impedance
Chen Xinwei1, Li Hongwei1, Ren Zongqiang2, Yu Wentao1, Ding Yinshu3
1. School of Electrical Engineering Shandong University Jinan 250061 China;
2. School of Electrical Engineering Xi'an Jiaotong University Xi'an 710049 China;
3. Shandong Tomorrow Machinery Group Co. Ltd Jinan 250200 China
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摘要 目前主动磁悬浮轴承广泛用于工业各领域,而位移传感器是影响磁悬浮轴承控制性能的重要部件。为了研究位移传感器的性能,首先必须建立准确的传感器模型,因此,该文根据自感式位移传感器的工作原理,通过引入铁心复磁导率和气隙磁阻杂散系数,提出一种基于阻抗的模和阻抗角的自感式位移传感器阻抗建模方法。然后根据实验数据得到了模型参数,运用阻抗改进模型预测不同激励频率下传感器的输出电压和灵敏度。最后与传感器静态性能实验结果相比,输出电压的预测误差小于0.05 V,灵敏度的预测相对误差小于1%,验证了阻抗改进模型的准确性。所建阻抗改进模型为进一步研究自感式位移传感器的动态输出性能提供了理论基础。
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陈信维
李红伟
任宗强
于文涛
丁印恕
关键词 主动磁悬浮轴承自感式位移传感器铁心线圈阻抗建模相对复磁导率气隙磁阻杂散系数    
Abstract:At present, active magnetic bearing (AMB) is widely used in various industries. The rotor displacement sensor detects the rotor vibration displacement in real-time to provide a control basis for the AMB controller. Therefore, it is a vital component that affects the control performance of AMB. The self-inductive displacement sensor is increasingly widely used in AMBs for its many advantages. Since the iron core reluctance and the leakage flux in the air-gap magnetic circuit are not considered, the traditional ideal model of the self-inductive displacement sensor fails to predict the performance of the sensor accurately. Therefore, this paper proposes an improved impedance model of the self-inductive displacement sensor based on the modulus and angle of the coil impedance.
Firstly, according to the working principle, a sensor equivalent magnetic circuit model is established for the differential self-inductive displacement sensor. The influence of eddy current and hysteresis effects on the reluctance of iron cores is considered by introducing the complex permeability, and the leakage flux and edge effect on the reluctance of the air gap is considered by introducing the air-gap stray coefficient. Then, an improved impedance model of sensor coils is established. By the improved impedance model, the output voltage and sensitivity of the sensor are predicted.
Secondly, under different excitation frequencies and rotor displacements, the resistance and inductance of iron coils of a designed sensor are measured based on a designed coil impedance test rig, and the output voltage of the designed sensor is measured based on a designed sensor static performance test rig. According to the experimental results, the parameters of the improved impedance model are obtained. Then, the output voltage and sensitivity of the sensor are predicted under different excitation frequencies. Finally, the results show that the prediction absolute error of the output voltage is less than 0.05 V, and the relative error of the sensitivity prediction is less than 1%, which verifies the accuracy of the impedance improvement model.
The following conclusions can be drawn. (1) The improved impedance model can accurately account for the effects of eddy currents and hysteresis loss in iron cores at high frequencies by introducing complex magnetic permeability. (2) The improved impedance model can accurately account for the impact of flux leakage and edge effects in air-gap by introducing the air-gap reluctance stray coefficient. (3) Variations in model parameters with rotor displacement and excitation frequency are obtained through experiments, and an accurate improved impedance model of the sensor is established and verified.
Key wordsActive magnetic bearing    self-inductive displacement sensor    impedance modeling of iron core coils    relative complex magnetic permeability    air-gap reluctance stray coefficient   
收稿日期: 2023-12-07     
PACS: TM722.7  
通讯作者: 李红伟 男,1979年生,博士,副教授,硕士生导师,研究方向为磁悬浮轴承理论与应用。E-mail: lhw08@sdu.edu.cn   
作者简介: 陈信维 男,1998年生,硕士研究生,研究方向为电感式位移传感器技术与应用。E-mail: 202134626@mail.sdu.edu.cn
引用本文:   
陈信维, 李红伟, 任宗强, 于文涛, 丁印恕. 基于模和阻抗角的自感式位移传感器阻抗建模[J]. 电工技术学报, 2025, 40(2): 387-397. Chen Xinwei, Li Hongwei, Ren Zongqiang, Yu Wentao, Ding Yinshu. Improved Impedance Modeling of Self-Inductive Displacement Sensor Based on the Modulus and Angle of the Coil Impedance. Transactions of China Electrotechnical Society, 2025, 40(2): 387-397.
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