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Validation and Analysis of Nonlinear System of Centrifugal Compressor using Hot Wire Flow Measurement and Jacobian Matrix

Published online by Cambridge University Press:  17 January 2020

Seyed Mohammad Hossindokht Open the ORCID record for Seyed Mohammad Hossindokht [Opens in a new window] ,
Ali Shahsavari  and
Amir Hesami
Seyed Mohammad Hossindokht*
Affiliation:
Department of Electrical Engineering, Iran University of Science and Technology
Ali Shahsavari
Affiliation:
School of Mechanical Engineering, Collage of Engineering, University of Tehran, Tehran, Iran
Amir Hesami
Affiliation:
Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
*
*Corresponding author ([email protected])
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Abstract

A mathematical method is developed to predict surge and instability inception in a centrifugal compressor map based on Greitzer and Moore model. The method uses phase plane and Jacobian matrix to determine stable and unstable zone of centrifugal compressor and to extract limit cycle in unstable zone. In order to evaluate accuracy of analytical method, a compressor test rig facility is designed and tested in order to be compared with theoretical results. Accurate Honeywell piezoelectric pressure transducers are used to measure time averaged pressure at inlet and outlet ducts of the compressor. In order to record the flow fluctuation precisely, hot wire sensors are installed in entrance and exit of impeller. The results represent instability inception near true stall point but different from measured data. The discrepancy mostly originates from inlet and outlet ducts which causes measure stall point of compressor deviates from true one. An analytical method which is able to predict surge and instability in a compressor is highly significant for instrumentation and controlling of system.

Keywords

Stable and unstable regionslimit cycleJacobian matrixcompressor testhot wire flow measurement
Type
Research Article
Information
Journal of Mechanics , Volume 36 , Issue 4 , August 2020 , pp. 521 - 531
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

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References

REFERENCES

Kvangardsnes, Terje. Anti-surge control: Control theoretic analysis of existing anti-surge control strategies. MS thesis. Institutt for teknisk kybernetikk, 2009.Google Scholar
van Helvoirt, Jan. “Centrifugal compressor surge: Modeling and identification for control.” (2007).Google Scholar
Liu, A. X., and Zheng, X. Q.. “Methods of surge point judgment for compressor experiments.” Experimental Thermal and Fluid Science 51 (2013): 204–213.CrossRefGoogle Scholar
Sheng, Hanlin, et al. “Active/passive hybrid control system for compressor surge based on fuzzy logic.” Journal of Engineering for gas Turbines and power 136.9 (2014): 092601.CrossRefGoogle Scholar
Hagino, Naoto, and Kashiwabara, Yasushige. “Experimental study of surge and rotating stall occurring in small centrifugal compressor.” 45th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit. 2009.CrossRefGoogle Scholar
Gravdahl, Jan Tommy, et al. “Modeling for surge control of centrifugal compressors: Comparison with experiment.” Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No. 00CH37187). Vol. 2. IEEE, 2000.Google Scholar
Tamaki, Hideaki. “Experimental study on surge inception in a centrifugal compressor.” International Journal of Fluid Machinery and System 2.4 (2009): 409–417.CrossRefGoogle Scholar
Mizuki, Shimpei, et al. “Investigation of surge behavior in a micro centrifugal compressor.” Journal of Thermal Science 15.2 (2006): 97.CrossRefGoogle Scholar
Bayomi, N. N., Abdel-Maksoud, R. M., and Rezk, M. I. F.. “Centrifugal Compressor Map Prediction and Modification.” Journal of King Abdulaziz University 24.1 (2013): 73.CrossRefGoogle Scholar
Sari, Gholam-Reza.Model Analysis and Nonlinear Control of Air Compressors. Diss. Ecole Polytechnique of Montreal in 2014.Google Scholar
Andersson, Alina. Analytic Parameterization of Stabilizing Controllers for the Moore-Greitzer Compressor Model. Diss. Department of Automatic Control, Lund University, 2015.Google Scholar
Greitzer, E. M., and Moore, F. K.. “A theory of poststall transients in axial compression systems: part II—application.” ASME J. Eng. Gas Turbines Power 108.2 (1986): 231–239.CrossRefGoogle Scholar
Hansen, K. E., Jorgensen, P., and Larsen, P. S.. “Experimental and theoretical study of surge in a small centrifugal compressor.” Journal of Fluids Engineering 103.3 (1981): 391–395.CrossRefGoogle Scholar
Abed, Eyad H., Paul, K. Houpt, and Wishaa, M. Hosny. “Bifurcation analysis of surge and rotating stall in axial flow compressors.” 1990 American Control Conference. IEEE, 1990.CrossRefGoogle Scholar
ISO, EN. “5167-2: 2003—Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular-Cross Section Conduits Running Full—Part 2.” International Organization for Standardization: Geneva, Switzerland (2003).Google Scholar
Code, ASME Performance Test. “Performance Test Code on Compressors and Exhausters.” American Society of Mechanical Engineers, New York (1997).Google Scholar
Jellum, Marie Rennemo. Wet Gas Compressor Surge Detection. MS thesis. Institutt for energi-og prosessteknikk, 2013.Google Scholar
Moore, Franklin K., and Greitzer, Edward Marc. “A theory of post-stall transients in axial compression systems: Part I—Development of equations.” Journal of engineering for gas turbines and power 108.1 (1986): 68–76.CrossRefGoogle Scholar
Moore, F. K. “A theory of rotating stall of multistage axial compressors: part I—small disturbances.” Journal of Engineering for Gas Turbines and Power 106.2(1984): 313–320.CrossRefGoogle Scholar
Hall, Cesare, and Larry Dixon, S.. Fluid mechanics and thermodynamics of turbomachinery. Butterworth-Heinemann, 2013.Google Scholar
Boyce, Meherwan P.Centrifugal compressors: a basic guide. PennWell Books, 2003.Google Scholar
Greitzer, Edward M. “Surge and rotating stall in axial flow compressors—Part I: Theoretical compression system model.” Journal of Engineering for Power 98.2 (1976): 190–198.CrossRefGoogle Scholar
Khalil, Hassan K., and Jessy, W. Grizzle. Nonlinear systems. Vol. 3. Upper Saddle River, NJ: Prentice hall, 2002.Google Scholar
Koff, S. G. “Stalled Flow Performance for Axial Compressors: II—Rotating Stall Characteristic.” ASME 1984 International Gas Turbine Conference and Exhibit. American Society of Mechanical Engineers, 1984.CrossRefGoogle Scholar
Uddin, Nur, and Gravdahl, Jan Tommy. “A compressor surge control system: Combination active surge control system and surge avoidance system.” ISUAAAT Scientific Committee with JSASS Publication (2012).Google Scholar