Ren Zongqiang, Li Hongwei, Yu Wentao
School of Electrical Engineering, Shandong University, Jinan 250061, China.
Sensors (Basel). 2021 Sep 20;21(18):6292. doi: 10.3390/s21186292.
The inductive displacement sensor is widely used in active magnetic bearing (AMB) systems to detect rotor displacement in real time, and the performance of the sensor directly affects the performance of AMB. At present, most theoretical studies on the working principle of inductive displacement sensor are based on a traditional mathematical model, ignoring the influence of the core magnetic resistance and core eddy current, which will lead to a certain error between the theoretical analysis of the sensor output characteristics and the actual situation. In this regard, based on the theory of electromagnetic field and circuit, an improved theoretical model of the inductive sensor was established in this paper by introducing the complex permeability, by which the influence of core eddy current on magnetic field can be taken into account. In order to verify the improved model, an eight-pole radial self-inductive displacement sensor with an air gap of 1 mm was designed. Then the electromagnetic field of the designed sensor was simulated by a finite element software and the GW LCR-6100 measuring instrument was used to measure the changes of the inductance and resistance of the designed sensor core coils with the rotor displacement at 20-100 kHz. The results demonstrated that there is a good linear relationship between the impedance change of the sensor coils and the rotor displacement within the measurement range of -0.4 ~ +0.4 mm. At the same time, compared with the traditional model, the sensitivity of the improved theoretical model is closer to the results from FEM and experiment, and the accuracy of the sensitivity of the improved theoretical model can be approximately doubled, despite there are certain differences with the experimental situation. Therefore, the improved theoretical model considering complex permeability is of great significance for studying the influence of core eddy current on the coil impedance of sensor.
电感式位移传感器广泛应用于主动磁轴承(AMB)系统中,用于实时检测转子位移,且该传感器的性能直接影响AMB的性能。目前,关于电感式位移传感器工作原理的大多数理论研究基于传统数学模型,忽略了铁心磁阻和铁心涡流的影响,这将导致传感器输出特性的理论分析与实际情况之间存在一定误差。对此,本文基于电磁场和电路理论,通过引入复磁导率建立了电感式传感器的改进理论模型,借此可考虑铁心涡流对磁场的影响。为验证改进后的模型,设计了一款气隙为1 mm的八极径向自感式位移传感器。然后利用有限元软件对所设计传感器的电磁场进行了仿真,并使用GW LCR - 6100测量仪在20 - 100 kHz频率下测量所设计传感器铁心线圈的电感和电阻随转子位移的变化。结果表明,在 - 0.4 ~ +0.4 mm的测量范围内,传感器线圈的阻抗变化与转子位移之间存在良好的线性关系。同时,与传统模型相比,改进后的理论模型的灵敏度更接近有限元法和实验结果,且改进后的理论模型灵敏度的精度可提高约一倍,尽管与实验情况仍存在一定差异。因此,考虑复磁导率的改进理论模型对于研究铁心涡流对传感器线圈阻抗的影响具有重要意义。