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Volume 42 Issue 10
Oct.  2016
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Journal of Beijing University of Aeronautics and Astronautics  > 2016  >  42(10): 2048-2058.
XIN Chaojun, CAI Yuanwen, REN Yuan, et al. Dynamic modeling and key error sources analysis of magnetically suspended sensitive gyroscopes[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(10): 2048-2058. doi: 10.13700/j.bh.1001-5965.2015.0650(in Chinese)
Citation: XIN Chaojun, CAI Yuanwen, REN Yuan, et al. Dynamic modeling and key error sources analysis of magnetically suspended sensitive gyroscopes[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(10): 2048-2058. doi: 10.13700/j.bh.1001-5965.2015.0650(in Chinese)
shu

Dynamic modeling and key error sources analysis of magnetically suspended sensitive gyroscopes

doi: 10.13700/j.bh.1001-5965.2015.0650
  • 1.

    Department of Space Equipment, Equipment Academy, Beijing 101416, China

  • 2. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China

Funds:  National Natural Science Foundation of China (51475472)
  • Received Date: 08 Oct 2015
  • Publish Date: 20 Oct 2016
    Abstract
  • The mathematical model of a new magnetically suspended sensitive gyroscope (MSSG) with rotor of double spherical envelope surfaces is established based on rotor dynamics, and the key error sources of the gyro in sensing angular rate are analyzed theoretically. First, structural features and sensing principles of the MSSG are described. Second, the theoretical models of electromagnetic forces and moments acting on the rotor are built respectively. The influencing mechanisms of rotor translation and titling on its mechanical state are analyzed. Simulation results by finite-element method software ANSYS are basically in agreement with the calculated results. Finally, two key error sources of rotor asphericity and Lorentz force magnetic bearing process errors are analyzed, and the analytical expression of the disturbing torques has been constructed. Calculation results show that the rotor aspheric factors and the inhomogeneous magnetic field in Lorentz force magnetic bearing are the major factors inducing disturbance torques. The model provides a valuable theoretical basis for further research on optimization design and analysis of the MSSG.

     

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    • References(19)
  • [1]
    FANG J C,ZHENG S Q,HANG B C.AMB vibration control for structural resonance of double-gimbal control moment gyro with high-speed magnetically suspended rotor[J].IEEE/ASME Transactions on Mechatronics,2013,18(1):32-43.
    [2]
    REN Y,FANG J C.Current-sensing resistor design to include current derivative in PWM H-bridge unipolar switching power amplifiers for magnetic bearings[J].IEEE Transactions on Industrial Electronics,2012,59(12):4590-4600.
    [3]
    REN Y,FANG J C.High-precision and strong-robustness control for an MSCMG based on modal separation and rotation motion decoupling strategy[J].IEEE Transactions on Industrial Electronics,2014,61(3):1539-1551.
    [4]
    REN Y,FANG J C.Modified cross feedback control for a magnetically suspended flywheel rotor with significant gyroscope effects[J].Mathematical Problems in Engineering,2014,2014:1-11.
    [5]
    FANG J C,REN Y,FAN Y H.Nutation and precession stability criterion of magnetically suspended rigid rotors with gyroscopic effects based on positive and negative frequency characteristics[J].IEEE Transactions on Industrial Electronics,2014,61(4):2003-2014.
    [6]
    BOLETIS A,BARROT F,MOSER R.Three axis active magnetic levitation for inertial sensing systems:US7252001B2[P].2007-08-07.
    [7]
    BOSGIRAUD T.Two degrees of freedom miniaturized gyroscope based on active magnetic bearings[D].Lausanne:Ecole Polytechnique Federale de Lausanne,2008:22-35.
    [8]
    MARUYAMA Y,MIZUNO T,TAKASAKI M,et al.An application of active magnetic bearing to gyroscopic and inertial sensors[J].Journal of System Design and Dynamics,2008,2(1):155-164.
    [9]
    MARUYAMA Y,MIZUNO T,TAKASAKI M,et al.Extension of measurement bandwidth in an AMB-based gyroscopic sensor[J].Mechatronics,2009,19(8):1261-1268.
    [10]
    MARUYAMA Y,MIZUNO T,TAKASAKI M,et al.Proposal of a new configuration for magnetically suspended gyro[C]//35th Annual Conference of IEEE Industrial Electronics.Piscataway,NJ:IEEE Press,2009:1911-1916.
    [11]
    房建成,刘彬,王志强,等.一种磁悬浮陀螺飞轮:CN 200910241243.3[P].2012-07-25.FANG J C,LIU B,WANG Z Q,et al.A magnetically suspended gyrowheel:CN200910241243.3[P].2012-07-25(in Chinese).
    [12]
    刘彬,房建成,刘刚.一种磁悬浮陀螺飞轮方案设计与关键技术分析[J].航空学报,2011,32(8):1478-1487.LIU B,FANG J C,LIU G.Design of a magnetically suspended gyrowheel and analysis of key technologies[J].Acta Aeronautica et Astronautica Sinica,2011,32(8):1478-1487(in Chinese).
    [13]
    FANG J C,ZHEN S Q,HAN B C.Attitude sensing and dynamic decoupling based on active magnetic bearing of MSDGCMG[J].IEEE Transactions on Instrument and Measurement,2012,61(2):338-348.
    [14]
    ZHEN S Q,HAN B C.Investigations of an integrated angular velocity measurement and attitude control system for spacecraft using magnetically suspended double-gimbal CMGs[J].Advances in Space Research,2013,51(12):2216-2228.
    [15]
    房建成,孙津济,樊亚洪.磁悬浮惯性动量轮技术[M].北京:国防工业出版社,2012:112-115.FANG J C,SUN J J,FAN Y H.Magnetically suspended inertial momentum wheel technology[M].Beijing:National Defense Industry Press,2012:112-115(in Chinese).
    [16]
    HU X N,WANG Q,CUI C Y,et al.Torque compensation system design for a spherical superconducting rotor[J].IEEE Transactions on Instrument and Measurement,2014,63(12):2789-2794.
    [17]
    HE C,WANG Q.Force characteristics analysis on a superconducting sphere suspended by spherical coils[J].Cryogenics,2007,47(7-8):413-417.
    [18]
    LIU J H,WANG Q,LI X.Modeling of the superconducting suspension system with shaping blocks[J].IEEE Transactions on Applied Superconductivity,2010,20(1):47-51.
    [19]
    崔春艳,胡新宁,程军胜,等.超导磁悬浮支承系统干扰力矩及漂移误差分析[J].物理学报,2015,64(1):379-389.CUI C Y,HU X N,CHENG J S,et al.Analysis of magnetic disturbance torque and drift error in a superconducting suspension system[J].Acta Physica Sinica,2015,64(1):379-389(in Chinese).
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