Identification of dynamic parameters of active magnetic bearings in a flexible rotor system considering residual unbalances

Abstract Active magnetic bearings (AMBs) support rotors using electromagnetic forces rather than mechanical forces. It is necessary to identify the AMB force coefficients (equivalent stiffness and damping) since they play key roles in the rotordynamic analysis. The identification is usually performed by analyzing the unbalance response. However, the presence of unknown residual unbalances reduces the identification accuracy and a rigid rotor model is only valid when the rotating speed is far below the first bending critical speed. Therefore, this paper proposes an identification algorithm to estimate the stiffness and damping parameters for a flexible rotor AMB system in the presence of unknown residual unbalances by using two independent unbalance response data sets. The proposed algorithm is first evaluated by numerical calculation for accuracy and then applied experimentally in the identification of a flexible rotor AMB system operating at speeds ranging from 3,000 rpm (50 Hz) to 30,000 rpm (500 Hz). The identification results are verified in the end.

[1]  H.M.N.K. Balini,et al.  Advanced Systems Theory Applied to AMB Systems , 2011 .

[2]  Yeong-Lin Lai,et al.  A Cloud-Storage RFID Location Tracking System , 2014, IEEE Transactions on Magnetics.

[3]  Paul E. Allaire,et al.  Effect of Control Algorithms on Magnetic Journal Bearing Properties , 1986 .

[4]  Fredrik Gustafsson,et al.  Determining the initial states in forward-backward filtering , 1996, IEEE Trans. Signal Process..

[5]  Dongsheng Zhang,et al.  Design and parameter estimation of hybrid magnetic bearings for blood pump applications , 2009 .

[6]  Bangcheng Han,et al.  Optimization of Damping Compensation for a Flexible Rotor System With Active Magnetic Bearing Considering Gyroscopic Effect , 2015, IEEE/ASME Transactions on Mechatronics.

[7]  Chen Zhao,et al.  Active magnetic bearings dynamic parameters identification from experimental rotor unbalance response , 2017 .

[8]  Rajiv Tiwari,et al.  Identification of bearing dynamic parameters and unbalance states in a flexible rotor system fully levitated on active magnetic bearings , 2014 .

[9]  Shanbao Cheng,et al.  Parameter estimation and statistical analysis on frequency-dependent active control forces , 2007 .

[10]  Zongli Lin,et al.  A rotor unbalance response based approach to the identification of the closed-loop stiffness and damping coefficients of active magnetic bearings , 2016 .

[11]  Hamid Mehdigholi,et al.  Harmonic disturbance attenuation in a three-pole active magnetic bearing test rig using a modified notch filter , 2017 .

[12]  Jiancheng Fang,et al.  Design and Optimization of a Radial Hybrid Magnetic Bearing With Separate Poles for Magnetically Suspended Inertially Stabilized Platform , 2014, IEEE Transactions on Magnetics.

[13]  H. D. Nelson A Finite Rotating Shaft Element Using Timoshenko Beam Theory , 1980 .

[14]  Akhtar Kalam,et al.  System Identification and Robust Control of Multi-Input Multi-Output Active Magnetic Bearing Systems , 2016, IEEE Transactions on Control Systems Technology.

[15]  Qintao Guo,et al.  Active Magnetic Bearing Rotor Model Updating Using Resonance and MAC Error , 2015 .

[16]  Chong-Won Lee,et al.  ON-LINE IDENTIFICATION OF CURRENT AND POSITION STIFFNESSES BY LMS ALGORITHM IN ACTIVE MAGNETIC BEARING SYSTEM EQUIPPED WITH FORCE TRANSDUCERS , 1999 .

[17]  Jiqiang Tang,et al.  Dynamic characteristics of the rotor in a magnetically suspended control moment gyroscope with active magnetic bearing and passive magnetic bearing. , 2014, ISA transactions.

[18]  Rajiv Tiwari,et al.  Estimation of speed-dependent bearing dynamic parameters in rigid rotor systems levitated by electromagnetic bearings , 2015 .

[19]  Alexander H. Pesch,et al.  Magnetic Bearing Spindle Tool Tracking Through ${\mu}$ -Synthesis Robust Control , 2015, IEEE/ASME Transactions on Mechatronics.

[20]  Nan-Chyuan Tsai,et al.  Identification of rod dynamics under influence of Active Magnetic Bearing , 2011 .

[21]  Paul E. Allaire,et al.  Digital control of active magnetic bearings , 1990 .