Research Papers: Gas Turbines: Structures and Dynamics

Optimum Damping Control of the Flexible Rotor in High Energy Density Magnetically Suspended Motor

[+] Author and Article Information
Jiancheng Fang

Science and Technology
on Inertial Laboratory,
Beihang University,
Shining Building 403,
Xueyuan Road,
Beijing 100191, China
e-mail: fangjiancheng@buaa.edu.cn

Enqiong Tang

Science and Technology
on Inertial Laboratory,
Beihang University,
Shining Building 403,
Xueyuan Road,
Beijing 100191, China
e-mail: tang.forever@163.com

Shiqiang Zheng

Science and Technology
on Inertial Laboratory,
Beihang University,
Shining Building 403,
Xueyuan Road,
Beijing 100191, China
e-mail: zhengshiqiang@buaa.edu.cn

1Corresponding author.

Contributed by the Structures and Dynamics Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received November 14, 2014; final manuscript received December 8, 2014; published online January 28, 2015. Editor: David Wisler.

J. Eng. Gas Turbines Power 137(8), 082505 (Aug 01, 2015) (9 pages) Paper No: GTP-14-1621; doi: 10.1115/1.4029393 History: Received November 14, 2014; Revised December 08, 2014; Online January 28, 2015

The rated rotational speed of the magnetically suspended motor (MSM) is always above the bending critical speed to achieve high energy density. The rotor will have a dramatic resonance when it passes the critical speed. Then, the magnetic bearing has to provide large bearing force to suppress the synchronous vibration. However, the bearing force is always limited by magnetic saturation and power amplifier voltage saturation. This paper proposed an optimum damping control method which can make effective use of the limited bearing force to minimize the synchronous vibration amplitude of the rotor nearby the critical speed. The accurate rotor model is obtained by theoretical analysis and system identification. The unbalance force response of the bending mode of the rotor is analyzed. The small gain theorem is used to determine the range of the magnitude of the control system. Then, the relationship of the optimum damping varying with the magnitude and phase of the control system nearby the critical speed is analyzed. The run-up experiments are carried out in 315 kW MSM and the results show the effectiveness and superiority of the optimum damping control method.

Copyright © 2015 by ASME
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Schweitzer, G., and Maslen, E. H., 2009, Magnetic Bearings: Theory, Design, and Application to Rotating Machinery, Springer-Verlag, Berlin.
Ren, Y., Su, D., and Fang, J., 2013, “Whirling Modes Stability Criterion for a Magnetically Suspended Flywheel Rotor With Significant Gyroscopic Effects and Bending Modes,” IEEE Trans. Power Electron., 28(12), pp. 5890–5901. [CrossRef]
Fang, J., Zhou, X., and Liu, G., 2013, “Precise Accelerated Torque Control for Small Inductance Brushless DC Motor,” IEEE Trans. Power Electron., 28(3), pp. 1400–1412. [CrossRef]
Zheng, S., and Han, B., 2013, “Investigations of an Integrated Angular Velocity Measurement and Attitude Control System for Spacecraft Using Magnetically Suspended Double-Gimbal CMGs,” Adv. Space Res., 51(12), pp. 2216–2228. [CrossRef]
Zheng, S., Han, B., and Guo, L., 2014, “Composite Hierarchical Antidisturbance Control for Magnetic Bearing System Subject to Multiple External Disturbances,” IEEE Trans. Ind. Electron., 61(12), pp. 7004–7012. [CrossRef]
Abrahamsson, J., Hedlund, M., Kamf, T., and Bernhoff, H., 2014, “High-Speed Kinetic Energy Buffer: Optimization of Composite Shell and Magnetic Bearings,” IEEE Trans. Ind. Electron., 61(6), pp. 3012–3021. [CrossRef]
Fan, Y., Jiang, Y., Chen, R.-J., Lee, Y.-T., and Wu, T.-W., 2008, “Adaptive Variable Structure Controller Design of Turbomolecular Pump With Active Magnetic Bearings,” 3rd IEEE Conference on Industrial Electronics and Applications (ICIEA 2008), Singapore, June 3–5, pp. 1060–1065. [CrossRef]
Yang, S.-M., 2011, “Electromagnetic Actuator Implementation and Control for Resonance Vibration Reduction in Miniature Magnetically Levitated Rotating Machines,” IEEE Trans. Ind. Electron., 58(2), pp. 611–617. [CrossRef]
Tan, S.-G., and Wang, X.-X., 1993, “A Theoretical Introduction to Low Speed Balancing of Flexible Rotors: Unification and Development of the Modal Balancing and Influence Coefficient Techniques,” J. Sound Vib., 168(3), pp. 385–394. [CrossRef]
EI-Shafei, A., EI-Kabbany, A. S., and Younan, A. A., 2004, “Rotor Balancing Without Trial Weights,” ASME J. Eng. Gas Turbines Power, 126(3), pp. 604–609. [CrossRef]
Liu, S., 2007, “Modified Low-Speed Balancing Method for Flexible Rotors Based on Holospectrum,” Mech. Syst. Signal Process., 21(1), pp. 348–364. [CrossRef]
Liu, S., and Qu, L., 2008, “A New Field Balancing Method of Rotor Systems Based on Holospectrum and Genetic Algorithm,” Appl. Soft Comput., 8(1), pp. 446–455. [CrossRef]
Seve, F., Andrianoely, M. A., Berlioz, A., Dufour, R., and Charreyron, M., 2003, “Balancing of Machinery With a Flexible Variable-Speed Rotor,” J. Sound Vib., 264(2), pp. 287–302. [CrossRef]
Kozanecka, D., Kozanecki, Z., and Łagodziński, J., 2011, “Active Magnetic Damper in a Power Transmission System,” Commun. Nonlinear Sci. Numer. Simul., 16(5), pp. 2273–2278. [CrossRef]
Looser, A., and Kolar, J. W., 2014, “An Active Magnetic Damper Concept for Stabilization of Gas Bearings in High-Speed Permanent-Magnet Machines,” IEEE Trans. Ind. Electron., 61(6), pp. 3089–3098. [CrossRef]
Kasarda, M. E. F., Mendoza, H., Kirk, R. G., and Wicks, A., 2004, “Reduction of Subsynchronous Vibrations in a Single-Disk Rotor Using an Active Magnetic Damper,” Mech. Res. Commun., 31(6), pp. 689–695. [CrossRef]
Sung, T., Han, Y., and Lee, J., 2003, “Effect of a Passive Magnetic Damper in a Flywheel System With a Hybrid Superconductor Bearing Set,” IEEE Trans. Appl. Supercond., 13(2), pp. 2165–2168. [CrossRef]
Ito, M., Fujiwara, H., and Matsushita, O., 2010, “Q-Value Evaluation and Rotational Test of Flexible Rotor Supported by AMBs,” J. Syst. Des. Dyn., 4(5), pp. 725–737. [CrossRef]
Lei, S., and Palazzolo, A., 2008, “Control of Flexible Rotor Systems With Active Magnetic Bearings,” J. Sound Vib., 314(1–2), pp. 19–38. [CrossRef]
Shi, L., Yu, S., Yang, G., Shi, Z., and Xu, Y., 2012, “Technical Design and Principle Test of Active Magnetic Bearings for the Turbine Compressor of HTR-10GT,” Nucl. Eng. Des., 251, pp. 38–46. [CrossRef]
Okada, Y., Shimizu, K., and Ueno, S., 2001, “Vibration Control of Flexible Rotor by Inclination Control Magnetic Bearings With Axial Self-Bearing Motor,” IEEE/ASME Trans. Mechatronics, 6(14), pp. 521–524. [CrossRef]
Sahinkaya, M. N., Abulrub, A. H. G., and Burrows, C. R., 2011, “An Adaptive Multi-Objective Controller for Flexible Rotor and Magnetic Bearing Systems,” ASME J. Dyn. Syst. Meas. Control, 133(3), pp. 81–89. [CrossRef]
Mushi, S. E., Lin, Z., and Allaire, P. E., 2012, “Design, Construction, and Modeling of a Flexible Rotor Active Magnetic Bearing Test Rig,” IEEE Trans. Mechatronics, 17(6), pp. 1170–1182. [CrossRef]
Jang, M. J., Chen, C. L., and Tsao, Y. M., 2005, “Sliding Mode Control for Active Magnetic Bearing System With Flexible Rotor,” J. Franklin Inst., 342(4), pp. 401–419. [CrossRef]
Darbandi, S. M., Behzad, M., Salarieh, H., and Mehdigholi, H., 2014, “Linear Output Feedback Control of a Three-Pole Magnetic Bearing,” IEEE Trans. Mechatronics, 19(4), pp. 1323–1330. [CrossRef]
Schuhmann, T., Hofmann, W., and Werner, R., 2012, “Improving Operational Performance of Active Magnetic Bearings Using Kalman Filter and State Feedback Control,” IEEE Trans. Ind. Electron., 59(2), pp. 821–829. [CrossRef]


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Fig. 1

The sketch map of the MSM

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Fig. 2

The flexible rotor of the 315 kW HEDMSM

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Fig. 3

The block diagram of the rotor–AMB system

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Fig. 4

The rotor finite element model with n segments

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Fig. 5

The bending mode shape of the flexible rotor

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Fig. 6

The measurement schematic diagram of the rotor frequency characteristics

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Fig. 7

Frequency characteristics of the rotor model compared to experimental measurements results

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Fig. 8

The relation curves among km, dm, and Cm

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Fig. 9

The relation curves among km, dm, and ε

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Fig. 10

The equivalent magnetic bearing system including model error

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Fig. 11

The relation of f(ωb1) varies with φ(ωb1) and B(ωb1)

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Fig. 12

The relation of damping ratio ε varies with B(ωb1) and φ(ωb1)

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Fig. 13

The value of the optimum phase φc(ωb1) relative to the magnitude Bc(ωb1)

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Fig. 14

Frequency characteristics of switching power amplifier with experimental measurements and theoretical model

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Fig. 15

Frequency characteristics of Gsca(s)

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Fig. 16

Frequency characteristics of PBF with different parameters

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Fig. 17

The experimental system of the 315 kW HEDMSM. (1) MSM, (2) coupling guard, (3) power supply 48 V, (4) control system, (5) oscilloscope, and (6) UPS.

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Fig. 18

The magnitude of rotor synchronous vibration displacement with different PBFs in run-up test

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Fig. 19

The magnitude of amplifier synchronous current with different PBFs in run-up test




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