Abstract

A technique is introduced to achieve transient vibration attenuation in a multi-input, multi-output flexible rotor/magnetic bearing system. The strategy employs feedback control of measured harmonic components of rotor vibration. Whereas previous harmonic controllers have been based only on steady state vibration characteristics, the new controller also incorporates the transient dynamics. The controller may still be designed from measured data and is determined from target transient vibrational responses arising from step changes in particular disturbances. Account is taken of delays arising from evaluation of harmonic components. Furthermore, stability boundaries for the controller are shown to have significant tolerance to measurement error. The controller is validated experimentally in a flexible rotor/magnetic bearing system and mass loss tests are used to demonstrate rapid decrease in vibration levels with near elimination of transient overshoot.

Issue Section:
Technical Papers
Keywords:
vibration control, rotors, damping, machine bearings, feedback, sampled data systems
Topics:
Control equipment, Rotor vibration, Rotors, Transients (Dynamics), Vibration control, Stability, Errors, Delays, Magnetic bearings, Vibration
1.
Palazzolo
,
A. B.
,
Lin
,
R. R.
,
Kasak
,
A. K.
, and
Alexander
,
R. M.
,
1989
, “
Active Control of Transient Rotordynamic Vibration by Optimal Control Methods
,”
ASME J. Eng. Gas Turbines Power
,
111
, pp.
264
–
270
.
2.
Palazzolo
,
A. B.
,
Lin
,
R. R.
,
Alexander
,
R. M.
,
Kasak
,
A. F.
, and
Montague
,
G. T.
,
1991
, “
Test and Theory for Piezoelectric Actuator-Active Vibration Control of Rotating Machinery
,”
ASME J. Vibr. Acoust.
,
113
, pp.
167
–
175
.
3.
Viggiano, F., and Schweitzer, G., 1992, “Blade Loss Dynamics of a Magnetically Suspended Rotor,” Proceedings, 3rd International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Hawaii, pp. 53–68.
4.
Zimmerman
,
D. C.
,
Inman
,
D. J.
, and
Juang
,
J.-N.
,
1991
, “
Vibration Suppression Using a Constrained Rate-Feedback-Threshold Strategy
,”
ASME J. Vibr. Acoust.
,
113
, pp.
345
–
353
.
5.
Yae
,
K. H.
, and
Inman
,
D. J.
,
1993
, “
Control-Oriented Order Reduction of Finite Element Model
,”
ASME J. Dyn. Syst., Meas., Control
,
115
, pp.
708
–
711
.
6.
Keogh
,
P. S.
,
Mu
,
C.
, and
Burrows
,
C. R.
,
1995
, “
Optimized Design of Vibration Controllers for Steady and Transient Excitation of Flexible Rotors
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
,
209
, pp.
155
–
168
.
7.
Burrows
,
C. R.
, and
Sahinkaya
,
M. N.
,
1983
, “
Vibration Control of Multi-Mode Rotor-Bearing Systems
,”
Proc. R. Soc. London, Ser. A
,
386
, pp.
77
–
94
.
8.
Knospe
,
C. R.
,
Hope
,
R. W.
,
Fedigan
,
S. J.
, and
Williams
,
R. D.
,
1995
, “
Experiments in the Control of Unbalanced Response using Magnetic Bearings
,”
Mechatronics
,
5
, pp.
385
–
400
.
9.
Knospe, C. R., Hope, R. W., Fedigan, S. J., and Williams, R. D., 1994, “New Results in the Control of Rotor Synchronous Vibration,” Proceedings, 4th International Conference on Magnetic Bearings, Zurich, pp. 119–124.
10.
Keogh
,
P. S.
,
Burrows
,
C. R.
, and
Berry
,
T.
,
1996
, “
On-Line Controller Implementation for Attentuation of Synchronous and Transient Rotor Vibration
,”
ASME J. Dyn. Syst., Meas., Control
,
118
, pp.
315
–
321
.
11.
Knospe
,
C. R.
,
Hope
,
R. W.
,
Fedigan
,
S. J.
, and
Williams
,
R. D.
,
1997
, “
A Multitasking DSP Implementation of Adaptive Magnetic Bearing Control
,”
IEEE Trans. Control Syst. Technol.
,
5
, pp.
230
–
238
.
12.
Knospe
,
C. R.
,
Tamer
,
S. M.
, and
Fedigan
,
S. J.
,
1997
, “
Robustness of Adaptive Rotor Vibration Control to Structured Uncertainty
,”
ASME J. Dyn. Syst., Meas., Control
,
119
, pp.
243
–
250
.
13.
Shafai
,
B.
,
Beale
,
S.
,
LaRocca
,
P.
, and
Cusson
,
E.
,
1994
, “
Magnetic Bearing Control Systems and Adaptive Force Balancing
,”
IEEE Control Syst. Mag.
,
14
, pp.
4
–
13
.
14.
Herzog
,
R.
,
Bu¨hler
,
P.
,
Ga¨hler
,
C.
, and
Larsonneur
,
R.
,
1996
, “
Unbalance Compensation Using Generalized Notch Filters in the Multivariable Feedback of Magnetic Bearings
,”
IEEE Trans. Control Syst. Technol.
,
4
, pp.
580
–
586
.
15.
Manchala
,
D. W.
,
Palazzolo
,
A. B.
,
Kasak
,
A. F.
,
Montague
,
G. T.
, and
Brown
,
G. V.
,
1997
, “
Constrained Quadratic Programming, Active Control of Rotating Mass Imbalance
,”
J. Sound Vib.
,
205
, pp.
561
–
580
.
16.
Nelson
,
H. D.
, and
McVaugh
,
J. M.
,
1976
, “
The Dynamics of Rotor-Bearing Systems Using Finite Elements
,”
ASME J. Eng. Ind.
,
98
, pp.
593
–
600
.
17.
Maciejowski, J. M., 1989, Multivariable Feedback Design, Addision-Wesley Publishing Company.
Copyright © 2002
 by ASME
You do not currently have access to this content.