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International Journal of Rotating Machinery Volume 2017 ,2017-05-07
Application of System Identification for Modeling the Dynamic Behavior of Axial Flow Compressor Dynamics
Research Article
Marco P. Schoen 1 Ji-Chao Lee 2
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DOI:10.1155/2017/7529716
Received 2017-02-01, accepted for publication 2017-04-11, Published 2017-04-11
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摘要

Identification of a one-stage axial compressor system is addressed. In particular, we investigate the underlying dynamics of tip air injection and throttle activation to the overall compressor dynamics and the dynamics around the tip of the compressor blades. A proposed subspace system identification algorithm is used to extract three mathematical models: relating the tip air injection to the overall dynamics of the compressor and to the flow dynamics at the tip of the compressor blade and relating the movement of the throttle to the overall compressor dynamics. As the system identification relays on experimental data, concerns about the noise level and unmodeled system dynamics are addressed by experimenting with two model structures. The identification algorithm entails a heuristic optimization that allows for inspection of the results with respect to unmodeled system dynamics. The results of the proposed system identification algorithm show that the assumed model structure for the system identification algorithm takes on an important role in defining the coupling characteristics. A new measure for the flow state in the blade passage is proposed and used in characterizing the dynamics at the tip of the compressor blade, which allows for the inspection of the limits for the utilized actuation.

授权许可

Copyright © 2017 Marco P. Schoen and Ji-Chao Lee. 2017
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

图表

Sensor location for experimental setup. The dashed breakout view is rotated 90° and depicts the six sensors for capturing the dynamics of the blade passage.

Picture of (a) side view of the one-stage axial compressor system and (b) view of the throttle using a cone movement system for controlling the flow coefficient and pressure rise.

Picture of (a) side view of the one-stage axial compressor system and (b) view of the throttle using a cone movement system for controlling the flow coefficient and pressure rise.

Bode plot for ARX (black) and ARMAX (blue) realization; flow coefficient = 0.55.

ARX model in block diagram form.

ARMAX model in block diagram form.

Bode plot for ARX (black) and ARMAX (blue) realization; flow coefficient = 0.51.

Bode plot for ARX (black) and ARMAX (blue) realization; flow coefficient = 0.58. Data is filtered and resampled prior to system identification.

Bode plot for ARX (black) and ARMAX (blue) realization; flow coefficient = 0.55. Data is filtered and resampled prior to system identification.

Bode plot for ARX (black) and ARMAX (blue) realization; flow coefficient = 0.51. Data is filtered and resampled prior to system identification.

Simulated and measured output using optimized ARX (balanced realization) model at flow coefficient 0.51.

Simulated and measured output using no optimized ARX (balanced realization) model at flow coefficient 0.51.

Simulated and measured output using optimized ARMAX (balanced realization) model at flow coef. 0.51.

Simulated and measured output using (no optimized) ARMAX (balanced realization) model at flow coefficient 0.51.

Injection pressure plot for flow coefficient 0.51, validation data.

Cost during TS optimization.

Pressure distribution within the blade passage for a section of the compressor. The units for the pressure are in [Pa], Cad is the axial tip chord, and the rotor pitch is a normalized parameter relative to blade chord.

Entropy as description for current state of flow within a blade passage.

Spectral entropy for leading sensor. The first part of time series is without injection; second part is with injection.

Spectral entropy spatial distribution within a blade passage with and without injection.

通讯作者

Marco P. Schoen.Department of Mechanical Engineering, Idaho State University, Mail Stop 8060, Pocatello, ID 83209, USA, isu.edu.schomarc@isu.edu

推荐引用方式

Marco P. Schoen,Ji-Chao Lee. Application of System Identification for Modeling the Dynamic Behavior of Axial Flow Compressor Dynamics. International Journal of Rotating Machinery ,Vol.2017(2017)

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