基于动态校正与相位累积的旋转叶片叶端间隙超半波长微波测量
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江苏大学机械工程学院镇江212013

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TH711

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国家自然科学基金(52375100)、江苏省自然科学基金优秀青年基金(BK20240156)、江苏省双创团队(JSSCTD202448)项目资助


Microwave measurement of rotating BTC beyond the half-wavelength using dynamic calibration and phase accumulation
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School of Mechanical Engineering, Jiangsu University,Zhenjiang 212013, China

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    摘要:

    微波法是实现旋转叶片叶端间隙(BTC)高精度测量的关键手段。然而,在120 GHz微波测量系统中,硬件缺陷与杂波反射等引入的幅值调制、直流偏移以及幅值-相位不平衡干扰会导致回波信号畸变失真;同时,传统静态校正方法难以适配动态工况,一体化校正与测量难;此外,基于相位差的测距方法受射频信号半波长限制,量程有限。针对上述问题,提出了一种面向旋转工况的信号校正与超半波长BTC测量方法。首先,提出了基于稳健分段拟合与近邻数量K(KNN)参数估计的动态校正方法(SFK),可在叶片旋转过程中在线补偿失真,提高动态间隙测量精度。其次,针对超半波长测量中的相位折叠与跳变难题,构建基于棣莫弗公式的相位累积修正策略,通过对BTC区间信号进行相位对齐与精细补偿,实现超半波长范围的连续位移解调,突破传统解调的量程限制。实验结果表明,在所提SFK方法与超半波长BTC测量一体化处理框架下,以激光传感器测量结果为参考,微波BTC测量在矩形叶片与曲面叶片下的平均绝对误差分别为1.611和1.563 μm,最大重复性误差分别为0.623和0.481 μm;在5 mm超半波长连续测量实验中,3次重复实验下12个叶片的平均解调线性度达到99.932%。结果验证了所提方法在动态叶端间隙测量中的高精度与鲁棒性,并对不同形貌叶片具有良好的适用性。

    Abstract:

    Microwave technology serves as a pivotal technique for achieving high-precision measurement of rotating blade tip clearance (BTC). However, in 120 GHz microwave measurement systems, amplitude modulation, DC offsets, and amplitude-phase imbalance introduced by hardware imperfections and clutter reflections cause distortion of echo signals; Moreover, conventional static calibration methods are difficult to adapt to dynamic operating conditions, making integrated calibration and measurement challenging; Furthermore, phase-difference-based ranging methods are limited by the half-wavelength constraint of radio-frequency signals, resulting in a restricted measurement range. To address these issues, a signal calibration and beyond-half-wavelength BTC measurement method for rotating conditions is proposed. A dynamic calibration method based on robust segmented fitting and K-nearest-neighbor (K-NN) parameter estimation is developed to compensate signal distortions online during blade rotation. Second, to overcome the problem of phase wrapping and jumping in beyond-half-wavelength measurements, a phase accumulation correction strategy based on De Moivre′s formula is proposed, enabling continuous displacement demodulation beyond the half-wavelength limit through phase alignment and fine compensation of BTC interval signals. Experimental results show that, with laser sensor measurements as references, the average absolute errors of microwave BTC measurement are 1.611 and 1.563 μm for rectangular and curved blades, respectively, and the maximum repeatability errors are 0.623 and 0.481 μm. In a 5 mm beyond-half-wavelength continuous measurement experiment, the average demodulation linearity of 12 blades reaches 99.932%. The results demonstrate the accuracy and robustness of the proposed method for dynamic BTC measurement.

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沈清澜,解骏杰,陈赛赛,韩丽玲,樊薇.基于动态校正与相位累积的旋转叶片叶端间隙超半波长微波测量[J].仪器仪表学报,2026,47(5):307-316

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  • 在线发布日期: 2026-07-24
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