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Research Papers

Development of a Measurement System for Analyzing Periodic External Forces Acting on Rotating Machineries

[+] Author and Article Information
Shota Yabui

Department of Mechanical Systems Engineering,
School of Engineering,
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
e-mail: yabui@nuem.nagoya-u.ac.jp

Tsuyoshi Inoue

Department of Mechanical Systems Engineering,
School of Engineering,
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
e-mail: inoue.tsuyoshi@nagoya-u.jp

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received October 16, 2018; final manuscript received May 8, 2019; published online June 13, 2019. Assoc. Editor: Soichi Ibaraki.

J. Dyn. Sys., Meas., Control 141(10), 101008 (Jun 13, 2019) (9 pages) Paper No: DS-18-1464; doi: 10.1115/1.4043759 History: Received October 16, 2018; Revised May 08, 2019

In this study, a measurement system is developed to analyze periodic external forces acting on a rotating machinery. The dynamics of a rotating machineries are influenced by various periodic external forces such as unbalanced forces, oil film forces at a journal bearing, and seal contact forces. The characteristics of periodic external forces are dependent on the rotating conditions, rotational speed, and rotating orbit of the rotating shaft. The proposed system employs an active magnetic bearing (AMB), which is implemented using an adaptive feed-forward cancellation (AFC). The use of AFC ensures that the proposed system can realize the desired harmonic orbit assuming actual operations under the periodic external forces. Moreover, AFC can measure the periodic external forces in real-time using an adaptive algorithm. The effectiveness of the proposed system is verified experimentally. Experimental results show that the control system can control the rotating shaft to an accuracy of micrometer order using the implemented AFC. The measurement error of the periodic external forces acting on the rotating system is less than 2%.

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References

Childs, D. , 1993, Turbomachinery Rotordynamics: Phenomena, Modeling, and Analysis, Wiley, Hoboken, NJ.
Vance, J. M. , 1988, Rotordynamics of Turbomachinery, Wiley, Hoboken, NJ.
Song, B. , Horiguchi, H. , Ma, Z. , and Tsujimoto, Y. , 2010, “ Rotordynamic Instabilities Caused by the Fluid Force Moments on the Backshroud of a Francis Turbine Runner,” Int. J. Fluid Mach. Syst., 3(1), pp. 67–79. [CrossRef]
Matsushita, O. , Takagi, M. , Kikuchi, K. , and Kaga, M. , 1982, “ Rotor Vibration Caused by External Excitation and Rub,” Second Workshop on Rotordynamics Instability Problems in High Performance Turbomachinery, Texas A&M University, College Station, TX, pp. 105–129.
Silva, A. , Zarzo, A. , Munoz-Guijosa, J. M. , and Miniello, F. , 2018, “ Evaluation of the Continuous Wavelet Transform for Detection of Single-Point Rub in Aeroderivative Gas Turbines With Accelerometers,” J. Sens. (Basel), 18(6), p. E1931. [CrossRef]
Hai-Jun, X. , and Jian, S. , 2007, “ Failure Analysis and Optimization Design of a Centrifuge Rotor,” Eng. Failure Anal., 14(1), pp. 101–109. [CrossRef]
Kanemor, Y. I. , and Iwatsubo, T. , 1989, “ Experimental Study of Dynamical Characteristics of a Long Annular Seal: Force and Moment Due to Conical Whirl Rotation,” Trans. Jpn. Soc. Mech. Eng., Ser. C, 55(520), pp. 2974–2981 (in Japanese). [CrossRef]
Andrés, L. S. , and Jeung, S. H. , 2016, “ Orbit-Model Force Coefficients for Fluid Film Bearings: A Step Beyond Linearization,” ASME J. Eng. Gas Turbines Power, 138(2), p. 022502. [CrossRef]
Franz, R. , Acosta, A. J. , Brennen, C. E. , and Caughey, T. K. , 1989, “ The Rotordynamic Forces on a Centrifugal Pump Impeller in the Presence of Cavitation,” ASME J. Fluids Eng., 112(3), pp. 264–271. [CrossRef]
Yi, Y. , Qiu, Z. , and Han, Q. , 2018, “ The Effect of Time-Periodic Base Angular Motions Upon Dynamic Response of Asymmetric Rotor Systems,” J. Adv. Mech. Eng., 10(3), pp. 1–12.
Kato, J. , Takagi, K. , and Inoue, T. , 2016, “ On the Stability Analysis of Active Magnetic Bearing With Parametric Uncertainty and Position Tracking Control,” ASME Paper No. IMECE2016-66603.
Kato, J. , Inoue, T. , Takagi, K. , and Yabui, S. , 2018, “ Nonlinear Analysis for Influence of Parametric Uncertainty on the Stability of Rotor System With Active Magnetic Bearing Using Feedback Linearization,” ASME J. Comput. Nonlinear Dyn., 13(7), p. 071004. [CrossRef]
Wassermann, J. , Schulz, A. , and Schneeberger, M. , 2003, “ Active Magnetic Bearings of High Reliability,” IEEE International Conference on Industrial Technology, Maribor, Slovenia, Dec. 10–12, pp. 194–197.
JSME, 1995, The Basis and Application of the Magnetic Bearings, Japan Society Mechanical Engineers, Tokyo, Japan (in Japanese).
Schweitzer, G. , Bleuler, H. , and Traxler, A. , 1994, Active Magnetic Bearings, Hochschulverlag AG an Der ETH, Zurich, Switzerland.
IEEJ, 1993, Magnetic Levitation and Magnetic Bearings, Japan Society of Mechanical Engineers, Tokyo, Japan (in Japanese).
Bodson, M. , Sacks, A. , and Khosla, P. , 1994, “ Harmonic Generation in Adaptive Feedforward Cancellation Schemes,” IEEE Trans. Autom. Control, 39(9), pp. 1939–1944. [CrossRef]
Messner, W. , and Bodson, M. , 1994, “ Design of Adaptive Feedforward Controllers Using Internal Model Equivalence,” American Control Conference (ACC), Baltimore, MD, June 29–July 1, pp. 1619–1623.
Hattori, S. , Ishida, M. , and Hori, T. , 2000, “ Suppression Control Method of Torque Vibration for Brushless DC Motor Utilizing Repetitive Control With Fourier Transform,” Sixth International Workshop on Advanced Motion Control, Nagoya, Japan, Mar. 30–Apr. 1, pp. 427–432.
Yabui, S. , and Inoue, T. , 2019, “ Development of Optimal Controller Design Method to Compensate for Vibrations Caused by Unbalanced Force in Rotor System Based on Nyquist Diagram,” J. Vib. Control, 25(4), pp. 793–805. [CrossRef]
Inoue, T. , Liu, J. , Ishida, Y. , and Yoshimura, Y. , 2009, “ Vibration Control and Unbalance Estimation of a Nonlinear Rotor System Using Disturbance Observer,” ASME J. Vib. Acoust., 131(3), p. 031010. [CrossRef]
Noshadi, A. , Shi, J. , Lee, W. S. , Shi, P. , and Kalam, A. , 2015, “ Robust Control of an Active Magnetic Bearing System Using H and Disturbance Observer-Based Control,” J. Vib. Control, 23(11), pp. 1857–1870. [CrossRef]
Lindlau, D. J. , and Knospe, R. C. , 2002, “ Feedback Linearization of an Active Magnetic Bearing With Voltage Control,” IEEE Trans. Control Systems Technol., 10(1), pp. 21–31. [CrossRef]
Chen, M. , and Knospe, C. R. , 2005, “ Feedback Linearization of Active Magnetic Bearings: Current-Mode Implementation,” IEEE/ASME Trans. Mechatronics, 10(6), pp. 632–639. [CrossRef]
Jerry, R. , and Pei, J. , 2015, “ Robust Stability Analysis of the Space Launch System Control Design: A Singular Value Approach,” NASA Langley Research Center, Hampton, VA, Report No. NF1676 L-17871.
Yabui, S. , Okuyama, A. , Kobayashi, M. , and Atsumi, T. , 2012, “ Optimization of Adaptive Feedforward Repeatable Run-Out Cancellation for Positioning Control System of Hard Disk Drives,” Microsyst. Technol., 18(9–10), pp. 1703–1709. [CrossRef]
Yabui, S. , Okuyama, A. , Atsumi, T. , and Odai, M. , 2013, “ Development of Optimized Adaptive Feed-Forward Cancellation With Damping Function for Head Positioning System in Hard Disk Drives,” Adv. Mech. Des., Syst., Manuf., 7(1), pp. 39–51. [CrossRef]
Zhai, L. M. , Luo, Y. Y. , and Wang, Z. W. , 2015, “ Study About the Influence of Cavitation on the Dynamic Characteristics for the Sliding Bearing,” Mater. Sci. Eng., 72, p. 042046.
Doyle, J. C. , Francis, B. A. , and Tannenbaum, A. R. , 1992, Feedback Control Theory, Dover Publications, Mineola, NY.

Figures

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Fig. 1

Overview of the experimental system: (a) overview and (b) close-up around AMB

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Fig. 2

Model of the experimental system

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Fig. 3

Cross section of the A-plane

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Fig. 4

Frequency responses from (fx, fy) to (x, y)

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Fig. 5

Block diagram of feedback control system

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Fig. 6

Frequency response of C: (a) PD controller KFB and (b) notch filters KN

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Fig. 7

Gain characteristics of the plant in the x-direction

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Fig. 8

Open-loop frequency response

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Fig. 9

Block diagram of control system with AFC

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Fig. 10

Block diagram of control system in the experiments

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Fig. 11

Gain characteristics of sensitivity functions of the control system

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Fig. 12

Rotating shaft trajectory: circular orbit

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Fig. 13

Rotating shaft trajectory: elliptical orbit

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Fig. 14

Attached unbalanced mass on the disk

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Fig. 15

Time responses of adaptive parameters p1(k) and q1(k) for the three cases

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Fig. 16

Time responses of estimation results for external force dd1−AFC for the three cases

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Fig. 17

Time responses of adaptive parameters p2(k) and q2(k)

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Fig. 18

Time responses of estimation results for external force dd2−AFC

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Fig. 19

Time responses of adaptive parameter p1(k) for varying step size parameter λi

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Fig. 20

Time responses of the first AFC output u1 of the control system without feedback linearization: (a) overview: 0–5 s and (b) close-up: 4.5–5 s

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