Control of Deep-Hysteresis Aeroengine Compressors

[+] Author and Article Information
Hsin-Hsiung Wang

Department of Electronic Engineering, Oriental Inst. of Technology, 58, Sec. 2, Szu-Chuan Road, Panchiao, Taipei County, 220 Taiwane-mail: swang@www.ee.oit.edu.tw

Miroslav Krstić

Department of AMES, University of California, San Diego, La Jolla, CA 92093-0411e-mail: krstic@ucsd.edu

Michael Larsen

Department of ECE, University of California, Santa Barbara, CA 93106e-mail: larsenm@seidel.ece.ucsb.edu

J. Dyn. Sys., Meas., Control 122(1), 140-152 (Jul 15, 1996) (13 pages) doi:10.1115/1.482436 History: Received July 15, 1996
Copyright © 2000 by ASME
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Grahic Jump Location
Axisymmetric and rotating stall characteristics of an experimental compressor at Caltech. The stall characteristic exhibits deep hysteresis.
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Equilibria of the ε-MG3 model with ε=0
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Equilibria of the ε-MG3 model with ε=0.9
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R vs Φ relationship with varying ε
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R vs Ψ relationship with varying ε
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Bifurcation diagrams for the open-loop system with ε=0 and β=0.71. The throttle opening γ is the bifurcation parameter.
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Bifurcation diagrams for the open-loop system with ε=0.9 and β=0.71
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Transient responses for throttle opening γ=1.15, slightly below the value for the stall inception point. A low value of β (β=0.71) results in rotating stall, while a high value of β (β=1.6) results in surge.
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The function NΨ(Ψ). Variations in Γ result in no more than one stall and one axisymmetric equilibrium.
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Bifurcation diagrams for the case ε=0,β=1.42,τ=0.44, with the (Ψ,R)-controller. The control gains are cR=18 and cΨ=6.
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Bifurcation diagrams for the case ε=0.9,β=0.71, with the (Ψ,R)-controller. The control gains are cR=3 and cΨ=1.
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Bifurcation diagrams for the case ε=0.9,β=0.71, with the nonlinear (Ψ,Φ̇)-controller. The controls are gain dΦ=2 and nonlinear function NΨ(Ψ).
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Bifurcation diagrams for the case ε=0.9,β=1.42,τ=0.44, with the full-state controller. The control gains are cR=43,cΨ=17, and cΦ=22.
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Closed-loop bifurcation diagrams for ε=0.6 with UTRC controller. The control gains are kR=3 and kΦ̇=1,10,100.



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