超流体陀螺灵敏度和分辨率研究

doi:10.3969/j.issn.1000-1093.2020.07.025

兵工学报 ›› 2020, Vol. 41 ›› Issue (7): 1457-1463.doi: 10.3969/j.issn.1000-1093.2020.07.025

超流体陀螺灵敏度和分辨率研究

郑睿^1,2,3，李方东^1,3，赵传超^1,3

(1.安徽师范大学物理与电子信息学院，安徽芜湖 241002； 2.东南大学仪器科学与工程学院，江苏南京 210096；3.安徽省智能机器人信息融合与控制工程实验室，安徽芜湖 241002)

收稿日期:2019-07-26 修回日期:2019-07-26 上线日期:2020-09-23
作者简介:郑睿(1980—)，男，副教授，硕士生导师，博士。 E-mail: 503757173@qq.com
基金资助:
国家自然科学基金项目（61503003）；安徽省自然科学基金面上项目(1908085MF216)；安徽省高校协同创新项目(GXXT-2019-031)

Research on Sensitivity and Resolution of Superfluid Gyroscope

ZHENG Rui^1,2,3, LI Fangdong^1,3, ZHAO Chuanchao^1,3

(1.College of Physics and Electronic Information, Anhui Normal University, Wuhu 241000, Anhui, China; 2.School of Instrument Science and Engineering, Southeast University, Nanjing 210096,Jiangsu, China;3.Anhui Province Engineering Laboratory of Intelligent Robot's Information Fusion and Control, Wuhu 241000, Anhui, China)

Received:2019-07-26 Revised:2019-07-26 Online:2020-09-23

摘要/Abstract

摘要： 灵敏度和分辨率是新型高精度超流体陀螺的重要性能指标，对其进行分析研究具有重要意义。基于超流体陀螺的工作原理，研究陀螺灵敏度与工作曲线之间的关系；分析位移检测系统中薄膜的振动幅值，推导陀螺检测元件噪声的方程，构建陀螺分辨率的数学模型；研究热能量引起的超流体相位波动，推导陀螺热噪声的方程，构建陀螺极限分辨率的数学模型。结果表明：超流体陀螺分辨率主要由检测元件噪声决定，其极限分辨率由热噪声决定；超流体陀螺灵敏度和分辨率呈现周期性的变化，其极限分辨率保持恒定；利用相移控制系统，把工作点锁定在使灵敏度最高的位置，此时陀螺分辨率为10^-8 (rad·s^-1）/Hz)数量级，其极限分辨率可达10^-9 (rad·s^-1）/Hz数量级。

关键词: 陀螺仪, 超流体, 灵敏度, 分辨率, 热噪声

Abstract: Sensitivity and resolution are the important performance indexes of novel high accuracy superfluid gyroscope. Based on the operating principle of superfluid gyroscope, the relation between sensitivity and working curve is researched, the diaphragm vibration amplitude of displacement detecting system is analyzed, the equation of detecting element noise is deduced, and a mathematic model of resolution is established. Then the phase fluctuation of superfluid which is caused by thermal energy is researched, the equation of thermal noise is deduced, and a mathematic model of limiting resolution is established. Research results show that the resolution of superfluid gyroscope is determined by detecting element noise, and its limiting resolution is determined by thermal noise. The sensitivity and resolution of gyroscope change periodically, and its limiting resolution is constant. A phase shift control system is used to lock the working point of gyroscope at a position where there is the highest sensitivity, the resolution of gyroscope is 10^-8 (rad·s^-1）/Hz and its limiting resolution is 10^-9 (rad·s^-1）/Hz. Key

Key words: gyroscope, superfluid, sensitivity, resolution, thermalnoise

中图分类号:

U666.12⁺3

郑睿，李方东，赵传超. 超流体陀螺灵敏度和分辨率研究[J]. 兵工学报, 2020, 41(7): 1457-1463.

ZHENG Rui, LI Fangdong, ZHAO Chuanchao. Research on Sensitivity and Resolution of Superfluid Gyroscope[J]. Acta Armamentarii, 2020, 41(7): 1457-1463.

参考文献

［1］ SATO Y. Sagnac-based rotation sensing with superfluid helium quantum interference devices[J]. Comptes Rendus Physique, 2014, 15(10): 898-906.
[2] LIU X J, LI Y, CAI H W, et al. Optical rotation detection for atomic spin precession using a superluminescent diode [J]. Photonic Sensors, 2019, 9(2): 135-141.
[3] JIANG L W, QUAN W, LI R J, et al. A parametrically modulated dual-axis atomic spin gyroscope[J]. Applied Physics Letters, 2018, 112(5): 054103.
[4] LI R J, QUAN W, FAN W F. Influence of magnetic fields on the bias stability of atomic gyroscope operated in spin-exchange relaxation-free regime[J]. Sensors and Actuators A: Physical, 2017, 266: 130-134.
[5] 赵玉龙, 沈怀荣, 任元. 超流体陀螺相位波动噪声自适应抵消系统分析[J]. 北京航空航天大学学报, 2018, 44(3): 508- 515.
ZHAO Y L, SHEN H R, REN Y. Phase fluctuation noise adaptive cancellation system of superfluid gyroscope[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(3): 508- 515. (in Chinese)
[6] 郑睿, 赵伟, 方明星, 等. 基于多圈环绕结构的超流体陀螺噪声抑制方法[J]. 兵工学报, 2017, 38(7): 1330-1335.
ZHENG R, ZHAO W, FANG M X,et al. Noise suppression me-thod for superfluid gyroscope based on multiple-turn circling structure[J]. Acta Armamentarii, 2017, 38(7): 1330-1335.(in Chinese)
[7] NARAYANA S, SATO Y.Superfluid quantum interference in multiple-turn reciprocal geometry[J]. Physical Review Letters, 2011, 106(25): 255301.
[8] 郑睿, 余童, 程龙阅. 基于微孔参数优化的超流体陀螺噪声抑制方法. 中国惯性技术学报, 2019, 21(5): 684-689
ZHENG R, YU T, CHENG L Y. Noise suppression method of superfluid gyroscope based on aperture parameters optimization[J]. Journal of Chinese Inertial Technology, 2019, 21(5): 684-689.(in Chinese)
[9] SATO Y, JOSHI A, PACKARD R E. Flux locking a superfluid interferometer[J]. Applied Physics Letters, 2007, 91(7): 074107.

[10] SATO Y, PARKARD R. Superfluid helium quantum interference devices: physics and applications[J]. Reports on Progress in Physics, 2012, 75(1):016401.
[11] 赵伟, 郑睿, 刘建业, 等. 超流体物质波干涉陀螺仪的噪声研究[J]. 航空学报, 2013, 34(4): 902-908.
ZHAO W, ZHENG R, LIU J Y, et al. Research on the noises of superfluid matter wave interference gyroscope[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(4): 902-908. (in Chinese)
[12] WANG J J, FENG L S, WANG Q W, et al. Reduction of angle random walk by in-phase triangular phase modulation technique for resonator integrated optic gyro[J].Optics Express,2016,24(5): 5463-5468.
[13] GUATTARI F, MOLUON C, BIGUEUR A, et al. Touching the limit of FOG angular random walk: challenges and applications[C]∥Proceedings of IEEE International Symposium on Inertial Sensors and Systems 2016. Karlsruhe, Germany:IEEE,2016:16467083.
[14] 郑睿，赵伟，刘建业, 等. 超流体量子干涉陀螺仪的热噪声分析[J]. 中国惯性技术学报, 2012, 20(6): 739-743.
ZHENG R, ZHAO W, LIU J Y, et al. Analysis on thermal noise in superfluid gyroscope[J]. Journal of Chinese Inertial Technology, 2012, 20(6): 739-743.(in Chinese)

[15] CHUI T, HOLMES W, PENANEN K. Fluctuations of the phase difference across an array of Josephson junctions in superfluid ⁴He near the Lambda transition[J]. Physical Review Letters, 2003, 90(8): 085301.
[16] 张松林, 张昆. 连续随机变量非线性函数的期望和方差的近似求法[J]. 大地测量与地球动力学, 2008, 28(4): 107-110.
ZHANG S L, ZHANG K. Approximate computation of expectation and variance of nonlinear function of continuous random variable[J]. Journal of Geodesy and Geodynamics, 2008, 28(4): 107-110. (in Chinese)
[17] HOSKINSON E. Superfluid ⁴He weak links[D]. Berkeley, CA, US: University of California, 2005: 7.

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超流体陀螺灵敏度和分辨率研究

Research on Sensitivity and Resolution of Superfluid Gyroscope

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