胡雄心, 胥芳, 谭大鹏. 基于同步离散电流估计的磁轴承自传感方法与试验[J]. 农业工程学报, 2020, 36(9): 59-66. DOI: 10.11975/j.issn.1002-6819.2020.09.007
    引用本文: 胡雄心, 胥芳, 谭大鹏. 基于同步离散电流估计的磁轴承自传感方法与试验[J]. 农业工程学报, 2020, 36(9): 59-66. DOI: 10.11975/j.issn.1002-6819.2020.09.007
    Hu Xiongxin, Xu Fang, Tan Dapeng. Self-sensing approach and experiments of active magnetic bearings based on synchronous-sampling direct current estimator[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2020, 36(9): 59-66. DOI: 10.11975/j.issn.1002-6819.2020.09.007
    Citation: Hu Xiongxin, Xu Fang, Tan Dapeng. Self-sensing approach and experiments of active magnetic bearings based on synchronous-sampling direct current estimator[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2020, 36(9): 59-66. DOI: 10.11975/j.issn.1002-6819.2020.09.007

    基于同步离散电流估计的磁轴承自传感方法与试验

    Self-sensing approach and experiments of active magnetic bearings based on synchronous-sampling direct current estimator

    • 摘要: 针对自传感磁轴承的滤波法幅度解调模型结构复杂导致相移过大的问题,提出一种基于Cosine纹波的同步离散电流估计自传感方法。建立了磁轴承磁阻模型,得到了磁轴承开关工作电流与位移之间的关联变化规律。与以往的采样电流相比较,同步离散电流是同步于PWM周期并定点离散于其Cosine纹波函数为0处的采样电流,并建立了同步离散电流估计器(Synchronous-Sampling-based Discrete Current Estimator,SS-DCE)数学模型;该模型可消除主动磁轴承自传感路径中的滤波器,简化估计算法复杂度,从而使得历经估计器的相移减小。数值仿真结果表明:SS-DCE自传感算法在50~250 μm量程范围内估计误差小于2.72%;在特征频率处幅值增益为2 dB,相位滞后为-22°,为系统稳定运行提供了158°相位裕度。搭建了自传感磁轴承实验平台,验证了SS-DCE的位移估计最大估计误差为5.06 μm,对应的估计精度为2.53%,并获得较好的激励响应的跟随特性,研究结果为小相移的自传感磁轴承和高速运行的磁轴承设计提供参考。

       

      Abstract: Abstract: Frictionless magnetic bearings can contribute to modern agricultural equipment, such as pump, fan and blast, thereby to achieve high efficiency, energy-saving and long-term reliable operation. But magnetic bearings are confined to the configuration and price of position sensors. In the recent years, the self-sensing and sensor less mode have been developed to extend the application of the magnetic bearings. Most previous studies are focused on the estimation algorithms, such as the state observer approach and parameter estimation approach. Moreover, the extra phase-shift is introduced by the estimator which consists of the analogue filter or FIR or more complex mathematic algorithm. The self-sensing path turns complex and longer due to the fundmental ripple needs to be extracted, amplified and filtered. Therefore, the key research target of this paper is the operation of position estimation. An absolute mathermatical approach was proposed to extract the rotor positon using the zero ripple characteristic based on the cosine-function of coil current. A self-sensing algorithm based on SS-DCE (Synchronous-Sampling-based Discrete Current Estimator) can be used to remove the extra phase that introduced by the analog or digital filters of the sensing path. Synchronous-sampling technique was used to sample the coil working current in the estimator due to PWM switching harmonics without the discrete current. Moreover, the phase shift can be minimized in SS-DCE scheme because the filters of amplitude demodulation have been eliminated, and the configure of AMBs are simplified. The numerical results of SS-DCE were also compare with that of the digital filtering amplitude demodulation approach(DFAdM). The test results of the position estimators showed that the optimal performances can be obtained, when the switching frequency and synchronous sampling frequency are 2 kHz, control frequency is 50 Hz, sampling frequency of DFAdM is 100 kHz, and some electrical conditions as the bias current 3.0 A, nominal inductance 13.2 mH and power supply 50 V. The SS-DCE was also verified by the simulation in 1-DOF AMBs. The static performance evalution was performed on the proposed estimator, indicating that the precision of SS-DCE was about 2.72%, and the absolute error was 5.43 μm in the position range of 50-250 μm. The precision of DFAdM estimator was 4.85% and the absolute error was 9.71 μm. Frequency response analysis was used to evaluate the dynamics performance in open loop state, indicating 158° phase margin at the eigen frequency 19.26Hz. Moreover, a rig of self-sensing AMBs was setup with TMS320F2812, LEM HX-05, PM10CJS060 and micro-positioning platform. The precision of SS-DCE was about 2.53% referring to eddy current sensor HZ-891. SS-DCE-based rotor showed good stability, rapid convergence and acceptable overshot under pulse disturbances that applied through a direct knock on the truss by a rubber hammer. The proposed approach can provide a direct guidance for the active control of magnetic levitation, magnetic damper and other engineering fields. The influence of PWM duty-cycle and low SNR on magnetic bearings can be performed in the near future research works, thereby to enhance the application of magnetic bearings for modern agriculture.

       

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