科氏流量计相位差估计的ap-Hilbert法
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摘要
相位差估计是科氏流量计精确计量的基础,现有方法计算量较大,估计精度受频谱泄漏影响,且需要预知信号频率,难以满足复杂流量环境的测量需求。为此,提出一种科氏流量计相位差估计的ap-Hilbert法,首先对2路传感器信号进行全相位预处理,即对采样信号循环分段后移位对齐相加得到全相位序列,以消除频谱泄漏导致的端点效应;然后,对全相位序列进行Hilbert变换获得其解析信号,分别提取2路解析信号的实信号和虚信号部分;再通过三角变换,利用三角函数和差公式即可求出相位差。实验结果表明,所提方法克服了Hilbert变换的端点效应,与现有方法相比较,较大提高了相位差估计精度。
Phase difference estimation is the basis of accurate measurement of Coriolis flowmeter. The existing phase difference estimation methods have a large amount of calculation, the estimation accuracy is affected by spectrum leakage, and the signal frequency needs to be predicted. So these methods are difficult to meet the measurement requirements of complex flow environment. To address these issues, an ap-Hilbert method is proposed for phase difference estimation of Coriolis flowmeter. Firstly, all-phase pre-processing is performed on the two-channel sensor signals to eliminate the endpoint effect caused by spectrum leakage, i.e. all-phase sequence is obtained by adding the shifts and alignments of the sampled signals after cyclic segmentation. Then, Hilbert transform is used to analyze all-phase sequence. The real signal and the virtual signal of the two analytic signals are extracted, respectively. Finally, the phase difference can be calculated by using the tangent difference formula of the trigonometric function through the trigonometric transformation. Experimental results show that the proposed method overcomes the end effect of Hilbert transform and greatly improves the phase difference estimation accuracy compared with the existing methods.
Phase difference estimation is the basis of accurate measurement of Coriolis flowmeter. The existing phase difference estimation methods have a large amount of calculation, the estimation accuracy is affected by spectrum leakage, and the signal frequency needs to be predicted. So these methods are difficult to meet the measurement requirements of complex flow environment. To address these issues, an ap-Hilbert method is proposed for phase difference estimation of Coriolis flowmeter. Firstly, all-phase pre-processing is performed on the two-channel sensor signals to eliminate the endpoint effect caused by spectrum leakage, i.e. all-phase sequence is obtained by adding the shifts and alignments of the sampled signals after cyclic segmentation. Then, Hilbert transform is used to analyze all-phase sequence. The real signal and the virtual signal of the two analytic signals are extracted, respectively. Finally, the phase difference can be calculated by using the tangent difference formula of the trigonometric function through the trigonometric transformation. Experimental results show that the proposed method overcomes the end effect of Hilbert transform and greatly improves the phase difference estimation accuracy compared with the existing methods.
引文
[1] 方正余,徐科军,张建国,等. 科氏质量流量计差分驱动方式研究与实验[J].电子测量与仪器学报, 2017,31(12):2030- 2035.FANG ZH Y, XU K J, ZHANG J G, et al. Research and experiment on differential drive mode of Coriolis mass flowmeter[J]. Journal of Electronic Measurement and Instrumentation, 2017,31(12):2030- 2035.
[2] HOU Q L, XU K J, FANG M, et al. Development of Coriolis mass flowmeter with digital drive and signal processing technology[J]. ISA Transactions, 2013,52(5):692-700.
[3] 陈鹏, 涂亚庆, 杨辉跃,等. 差分式科氏流量计测量原理和零点不稳定及补偿分析[J]. 传感器与微系统, 2017,36(1):61- 63,70.CHEN P, TU Y Q, YANG H Y, et al. Analysis on measurement principle and instability and compensation of zero point for differential Coriolis mass flowmeter[J]. Transducer and Microsystem Technolosies,2017,36(1):61- 63,70.
[4] ORTIZ-VIDAL L E, MUREITHI N W, OSCAR M H. Vibration response of a pipe subjected to two-phase flow: analytical formulations and experiments[J]. Nuclear Engineering and Design, 2017,313:214- 224.
[5] 张建国, 徐科军, 方正余, 等. 气液两相流下微弯型科氏质量流量计信号建模[J]. 仪器仪表学报,2017,38(4): 870- 877.ZHANG J G, XU K J, FANG ZH Y, et al. Signal modeling for micro-bend type Coriolis mass flowmeter under gas-liquid two-phase flow[J]. Chinese Journal of Scientific Instrument, 2017,38(4):870- 877.
[6] 方正余,徐科军,张建国,等. 流型频繁切换下科氏质量流量计驱动特性研究[J]. 电子测量与仪器学报, 2017,31(6):954-960.FANG ZH Y, XU K J, ZHANG J G, et al. Study on drive characteristics of Coriolis mass flowmeter under flow pattern switching frequently [J].Journal of Electronic Measurement and Instrumentation, 2017,31(6):954-960.
[7] 张建国,徐科军,方正余,等. 数字信号处理技术在科氏质量流量计中的应用[J].仪器仪表学报, 2017,38(9): 2087- 2102.ZHANG J G,XU K J,FANG ZH Y, et al. Applications of digital signal processing technology in Coriolis mass flowmeter[J].Chinese Journal of Scientific Instrument, 2017,38(9):2087- 2102.
[8] TU Y Q, SHEN Y L, ZHANG H T, et al. Phase and frequency matching-based signal processing methed for Coriolis mass flowmeters[J]. Measurement Science Review,2016,16(2):61- 66.
[9] SHEN Y L, TU Y Q. Correlation theory-based signal processing method for CMF signals[J]. Measurement Science and Technology, 2016,27(6):1-7.
[10] TU Y Q, SHEN Y L. Phase correction autocorrelation-based frequency estimation method for sinusoidal signal[J]. Signal Processing, 2017(130):183-189.
[11] 乐静,徐科军,刘文,等. 面向不同应用的两种科氏质量流量计信号处理方法[J].电子测量与仪器仪表学报,2018,32(5):97- 106.LE J, XU K J, LIU W, et al. Two Coriolis mass flowmeter signal processing methods for different applications[J]. Journal of Electronic Measurement and Instrumentation,2018,32(5):97- 106.
[12] 沈廷鳌,李明,李华南, 等. 基于相关和Hilbert 变换的科氏流量计相位差估计方法[J].仪器仪表学报,2017,38(12): 2908- 2914.SHEN T AO, LI M, LI H N, et al. Phase difference estimation method for Coriolis mass flowmeter based on correlation and Hilbert transform[J]. Chinese Journal of Scientific Instrument, 2017, 38(12):2908- 2914.
[13] 张海涛,涂亚庆. 计及负频率影响的科里奥利质量流量计信号处理方法[J]. 仪器仪表学报,2007,28(3):539- 544.ZHANG H T, TU Y Q. New signal processing method with negative frequency contribution for Coriolis mass flowmeter[J].Chinese Journal of Scientific Instrument, 2007, 28(3):539- 544.
[14] 杨辉跃,涂亚庆,张海涛,等. 一种基于SVD和Hilbert变换的科氏流量计相位差测量方法[J]. 仪器仪表学报, 2012,33(9): 2101- 2107.YANG H Y, TU Y Q, ZHANG H T, et al. Phase difference measuring method based on SVD and Hilbert transform for Coriolis mass flowmeter[J]. Journal of Scientific Instrument, 2012,33(9): 2101- 2107.
[15] TU Y Q, YANG H Y, ZHANG H T, et al.CMF signal processing method based on the feedback adjustment ANF and the Hilbert transform[J]. Measurement Science Review, 2014,14(1): 41- 47.
[16] 张建国,徐科军,董帅,等. 基于希尔伯特变换的科氏质量流量计信号处理方法研究与实现[J]. 计量学报, 2017,38(3):309-314.ZHANG J G, XU K J, DONG SH, et al. Study and implementation of signal processing method for Coriolis mass flowmeter based on Hilbert transform[J]. ACTA Metrologica Sinica. 2017,38(3):309-314.
[17] 黄翔东,白瑞朋, 靳旭康. 基于频移补偿的全相位时移相位差频率估计[J]. 天津大学学报(自然科学与工程技术版), 2017,50(6):649- 655.HUANG X D, BAI R P, JIN X K. All-Phase time-shift phase difference frequency estimation based on frequency shift and compensation[J]. Journal of Tianjin University (Science and Technology), 2017,50(6):649- 655.
[18] 黄翔东,余佳, 孟天伟,等. 衍生于全相位FFT的双子段相位估计法[J].系统工程与电子技术, 2014,36(11): 2149- 2155.HUANG X D,YU J, MENG T W, et al. Double-subsegment measuring phase method derived from all-phase FFT[J]. Systems Engineering and Electronics, 2014,36(11): 2149- 2155.
[19] 黄翔东,靳旭康,白瑞朋.基于前后向子分段和频移补偿的频率与相位联合估计器[J]. 振动与冲击,2017,36(12):207- 211,240.HUANG X D, JIN X K, BAI R P. A forward and backward sub-segmenting frequency-phase joint estimator base on frequency shift compensation[J]. Journal of Vibration and Shock, 2017,36(12):207- 211,240.
[20] 徐科军, 倪伟, 陈智渊. 基于时变信号模型和格型陷波器的科氏流量计信号处理方法[J]. 仪器仪表学报, 2006, 27(2): 596- 601.XU K J, NI W, CHEN ZH Y. A signal processing method for coriolis mass flowmeter based on time-varying signal model and lattice notch filter[J]. Chinese Journal of Scientific Instrument, 2006, 27(2): 596- 601.
[21] 李叶,徐科军,朱志海,等. 面向时变的科里奥利质质量流量计信号的处理方法研究与实现[J]. 仪器仪表学报, 2010,31(1):8-14.LI Y, XU K J, ZHU ZH H, et al. Study andimplementation of processing method for time-varying signal of Coriolis mass flowmeter[J]. Chinese Journal of Scientific Instrument, 2010, 31(1):8-14.
[2] HOU Q L, XU K J, FANG M, et al. Development of Coriolis mass flowmeter with digital drive and signal processing technology[J]. ISA Transactions, 2013,52(5):692-700.
[3] 陈鹏, 涂亚庆, 杨辉跃,等. 差分式科氏流量计测量原理和零点不稳定及补偿分析[J]. 传感器与微系统, 2017,36(1):61- 63,70.CHEN P, TU Y Q, YANG H Y, et al. Analysis on measurement principle and instability and compensation of zero point for differential Coriolis mass flowmeter[J]. Transducer and Microsystem Technolosies,2017,36(1):61- 63,70.
[4] ORTIZ-VIDAL L E, MUREITHI N W, OSCAR M H. Vibration response of a pipe subjected to two-phase flow: analytical formulations and experiments[J]. Nuclear Engineering and Design, 2017,313:214- 224.
[5] 张建国, 徐科军, 方正余, 等. 气液两相流下微弯型科氏质量流量计信号建模[J]. 仪器仪表学报,2017,38(4): 870- 877.ZHANG J G, XU K J, FANG ZH Y, et al. Signal modeling for micro-bend type Coriolis mass flowmeter under gas-liquid two-phase flow[J]. Chinese Journal of Scientific Instrument, 2017,38(4):870- 877.
[6] 方正余,徐科军,张建国,等. 流型频繁切换下科氏质量流量计驱动特性研究[J]. 电子测量与仪器学报, 2017,31(6):954-960.FANG ZH Y, XU K J, ZHANG J G, et al. Study on drive characteristics of Coriolis mass flowmeter under flow pattern switching frequently [J].Journal of Electronic Measurement and Instrumentation, 2017,31(6):954-960.
[7] 张建国,徐科军,方正余,等. 数字信号处理技术在科氏质量流量计中的应用[J].仪器仪表学报, 2017,38(9): 2087- 2102.ZHANG J G,XU K J,FANG ZH Y, et al. Applications of digital signal processing technology in Coriolis mass flowmeter[J].Chinese Journal of Scientific Instrument, 2017,38(9):2087- 2102.
[8] TU Y Q, SHEN Y L, ZHANG H T, et al. Phase and frequency matching-based signal processing methed for Coriolis mass flowmeters[J]. Measurement Science Review,2016,16(2):61- 66.
[9] SHEN Y L, TU Y Q. Correlation theory-based signal processing method for CMF signals[J]. Measurement Science and Technology, 2016,27(6):1-7.
[10] TU Y Q, SHEN Y L. Phase correction autocorrelation-based frequency estimation method for sinusoidal signal[J]. Signal Processing, 2017(130):183-189.
[11] 乐静,徐科军,刘文,等. 面向不同应用的两种科氏质量流量计信号处理方法[J].电子测量与仪器仪表学报,2018,32(5):97- 106.LE J, XU K J, LIU W, et al. Two Coriolis mass flowmeter signal processing methods for different applications[J]. Journal of Electronic Measurement and Instrumentation,2018,32(5):97- 106.
[12] 沈廷鳌,李明,李华南, 等. 基于相关和Hilbert 变换的科氏流量计相位差估计方法[J].仪器仪表学报,2017,38(12): 2908- 2914.SHEN T AO, LI M, LI H N, et al. Phase difference estimation method for Coriolis mass flowmeter based on correlation and Hilbert transform[J]. Chinese Journal of Scientific Instrument, 2017, 38(12):2908- 2914.
[13] 张海涛,涂亚庆. 计及负频率影响的科里奥利质量流量计信号处理方法[J]. 仪器仪表学报,2007,28(3):539- 544.ZHANG H T, TU Y Q. New signal processing method with negative frequency contribution for Coriolis mass flowmeter[J].Chinese Journal of Scientific Instrument, 2007, 28(3):539- 544.
[14] 杨辉跃,涂亚庆,张海涛,等. 一种基于SVD和Hilbert变换的科氏流量计相位差测量方法[J]. 仪器仪表学报, 2012,33(9): 2101- 2107.YANG H Y, TU Y Q, ZHANG H T, et al. Phase difference measuring method based on SVD and Hilbert transform for Coriolis mass flowmeter[J]. Journal of Scientific Instrument, 2012,33(9): 2101- 2107.
[15] TU Y Q, YANG H Y, ZHANG H T, et al.CMF signal processing method based on the feedback adjustment ANF and the Hilbert transform[J]. Measurement Science Review, 2014,14(1): 41- 47.
[16] 张建国,徐科军,董帅,等. 基于希尔伯特变换的科氏质量流量计信号处理方法研究与实现[J]. 计量学报, 2017,38(3):309-314.ZHANG J G, XU K J, DONG SH, et al. Study and implementation of signal processing method for Coriolis mass flowmeter based on Hilbert transform[J]. ACTA Metrologica Sinica. 2017,38(3):309-314.
[17] 黄翔东,白瑞朋, 靳旭康. 基于频移补偿的全相位时移相位差频率估计[J]. 天津大学学报(自然科学与工程技术版), 2017,50(6):649- 655.HUANG X D, BAI R P, JIN X K. All-Phase time-shift phase difference frequency estimation based on frequency shift and compensation[J]. Journal of Tianjin University (Science and Technology), 2017,50(6):649- 655.
[18] 黄翔东,余佳, 孟天伟,等. 衍生于全相位FFT的双子段相位估计法[J].系统工程与电子技术, 2014,36(11): 2149- 2155.HUANG X D,YU J, MENG T W, et al. Double-subsegment measuring phase method derived from all-phase FFT[J]. Systems Engineering and Electronics, 2014,36(11): 2149- 2155.
[19] 黄翔东,靳旭康,白瑞朋.基于前后向子分段和频移补偿的频率与相位联合估计器[J]. 振动与冲击,2017,36(12):207- 211,240.HUANG X D, JIN X K, BAI R P. A forward and backward sub-segmenting frequency-phase joint estimator base on frequency shift compensation[J]. Journal of Vibration and Shock, 2017,36(12):207- 211,240.
[20] 徐科军, 倪伟, 陈智渊. 基于时变信号模型和格型陷波器的科氏流量计信号处理方法[J]. 仪器仪表学报, 2006, 27(2): 596- 601.XU K J, NI W, CHEN ZH Y. A signal processing method for coriolis mass flowmeter based on time-varying signal model and lattice notch filter[J]. Chinese Journal of Scientific Instrument, 2006, 27(2): 596- 601.
[21] 李叶,徐科军,朱志海,等. 面向时变的科里奥利质质量流量计信号的处理方法研究与实现[J]. 仪器仪表学报, 2010,31(1):8-14.LI Y, XU K J, ZHU ZH H, et al. Study andimplementation of processing method for time-varying signal of Coriolis mass flowmeter[J]. Chinese Journal of Scientific Instrument, 2010, 31(1):8-14.