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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

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