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Bifurcation Control of Rotating Stall with Actuator Magnitude and Rate Limits 
Abstract 
Nonlinear qualitative analysis is performe … Nonlinear qualitative analysis is performed on the MooreGreitzer
model to evaluate the tradeoff of fluid noise, actuator magnitude saturation,
bandwidth, rate limits, and the shape of compressor characteristics in active
control of rotating stall in axial compressors with bleed valve actuators. Model
order reduction is achieved by approximating the dynamics on the invariant manifold
that captures the bifurcations and instabilities. Bifurcations and qualitative
dynamics are obtained by analyzing the reduced system. The operability enhancement
is defined as the extension of operating range for which fully developed rotating
stall is avoided. Analytic formulas are derived for the operability enhancement
as a function of noise level, actuator saturation limits, and the shape of the
compressor characteristic, which is the major nonlinearity in the model. The
shape of the compressor characteristic, especially the unstable part, is critical
to the rate required for robust operability near the peak for the closed loop
system. Experiments are carried out on a singlestage lowspeed axial compressor
using different level of steady air injections to generate different compressor
characteristics. The theoretical formulas give good qualitative estimates to
experimental data and simulations using a high fidelity model (37 states). s using a high fidelity model (37 states). +


Authors  Yong Wang, Simon Yeung, Richard Murray + 
ID  1999h + 
Source  <i>Automatica</i> 38(4):597610 and 611625 + 
Tag  wym99automatica + 
Title  Bifurcation Control of Rotating Stall with Actuator Magnitude and Rate Limits + 
Type  Preprint (parts I & II) + 
Categories  Papers 
Modification date This property is a special property in this wiki.

15 May 2016 06:19:32 + 
URL This property is a special property in this wiki.

http://www.cds.caltech.edu/~murray/preprints/wym99automatica.pdf + 
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Bifurcation Control of Rotating Stall with Actuator Magnitude and Rate Limits +  Title 
