Field Balancing of Magnetically Levitated Rotors without Trial Weights

Unbalance in magnetically levitated rotor (MLR) can cause undesirable synchronous vibrations and lead to the saturation of the magnetic actuator. Dynamic balancing is an important way to solve these problems. However, the traditional balancing methods, using rotor displacement to estimate a rotor's unbalance, requiring several trial-runs, are neither precise nor efficient. This paper presents a new balancing method for an MLR without trial weights. In this method, the rotor is forced to rotate around its geometric axis. The coil currents of magnetic bearing, rather than rotor displacement, are employed to calculate the correction masses. This method provides two benefits when the MLR's rotation axis coincides with the geometric axis: one is that unbalanced centrifugal force/torque equals the synchronous magnetic force/torque, and the other is that the magnetic force is proportional to the control current. These make calculation of the correction masses by measuring coil current with only a single start-up precise. An unbalance compensation control (UCC) method, using a general band-pass filter (GPF) to make the MLR spin around its geometric axis is also discussed. Experimental results show that the novel balancing method can remove more than 92.7% of the rotor unbalance and a balancing accuracy of 0.024 g mm kg−1 is achieved.

[1]  Y. Cao Improving Traditional Balancing Methods for High-Speed Rotors , 1996 .

[2]  Richard R. Ernst,et al.  Coherence transfer in the rotating frame , 1979 .

[3]  Shuzhi Sam Ge,et al.  Suppression of vibration caused by residual unbalance of rotor for magnetically suspended flywheel , 2013 .

[4]  Raoul Herzog,et al.  Unbalance compensation using generalized notch filters in the multivariable feedback of magnetic bearings , 1996, IEEE Trans. Control. Syst. Technol..

[5]  A. S. El-Kabbany,et al.  Rotor Balancing Without Trial Weights , 2002 .

[6]  Yuan Kang,et al.  A MODIFIED INFLUENCE COEFFICIENT METHOD FOR BALANCING UNSYMMETRICAL ROTOR-BEARING SYSTEMS , 1996 .

[7]  Zongli Lin,et al.  Robust Optimal Balancing of High-Speed Machinery Using Convex Optimization , 2008 .

[8]  A. Sekhar On-Line Balancing Of Rotors , 2003 .

[9]  Jiancheng Fang,et al.  A Wide Linear Range Eddy Current Displacement Sensor Equipped with Dual-Coil Probe Applied in the Magnetic Suspension Flywheel , 2012, Sensors.

[10]  J. Doyle,et al.  Essentials of Robust Control , 1997 .

[11]  G. Schweitzer,et al.  Magnetic bearings : theory, design, and application to rotating machinery , 2009 .

[12]  Jianjun Shi,et al.  Active Balancing and Vibration Control of Rotating Machinery: A Survey , 2001 .

[13]  Victor Wowk Machinery vibration : balancing , 1994 .

[14]  Dennis S. Bernstein,et al.  Adaptive Virtual Autobalancing for a Rigid Rotor With Unknown Mass Imbalance Supported by Magnetic Bearings , 1998 .

[15]  Zhao Lei,et al.  Field Dynamic Balance Method Study for the AMB - Flexible Rotor System , 2007 .

[16]  Xiaoyou Zhang,et al.  Compensation of rotor imbalance for precision rotation of a planar magnetic bearing rotor , 2003 .

[17]  Zhang Kai,et al.  Rotor Dynamic Balance Making Use of Adaptive Unbalance Control of Active Magnetic Bearings , 2010, 2010 International Conference on Intelligent System Design and Engineering Application.

[18]  Chong-Won Lee,et al.  In situ runout identification in active magnetic bearing system by extended influence coefficient method , 1996 .

[19]  John J. Yu Relationship of Influence Coefficients Between Static-Couple and Multi-Plane Methods on Two-Plane Balancing , 2008 .

[20]  Seamus D. Garvey,et al.  Reduction of Noise Effects for In Situ Balancing of Rotors , 2005 .

[21]  Louis J. Everett OPTIMAL TWO-PLANE BALANCE OF RIGID ROTORS , 1997 .

[22]  Helmut Habermann,et al.  The Active Magnetic Bearing Enables Optimum Damping of Flexible Rotor , 1984 .

[23]  Aly El-Shafei,et al.  Rotor Balancing Without Trial Weights , 2004 .

[24]  Josu Jugo,et al.  Nonlinear modelling and analysis of active magnetic bearing systems in the harmonic domain: a case study , 2008 .

[25]  Juan Shi,et al.  Synchronous disturbance attenuation in magnetic bearing systems using adaptive compensating signals , 2004 .

[26]  E. J. Gunter,et al.  Review: Rotor balancing , 1998 .

[27]  John J. Yu Relationship of Influence Coefficients Between Static-Couple and Multiplane Methods on Two-Plane Balancing , 2009 .