0
TECHNICAL PAPERS

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
Your Session has timed out. Please sign back in to continue.

References

Moore,  F. K., and Greitzer,  E. M., 1986, “A Theory of Post-Stall Transients in Axial Compression Systems—Part I: Development of Equations,” ASME J. Eng. Gas Turbines Power, 108, pp. 68–76.
Liaw,  D.-C., and Abed,  E. H., 1996, “Active Control of Compressor Stall Inception: A Bifurcation-Theoretic Approach,” Automatica, 32, pp. 109–115, also in Proceedings of the IFAC Nonlinear Control Systems Design Symposium.
Badmus, O. O., Chowdhury, S., Eveker, K. M., Nett, C. N., and Rivera, C. J., 1993, “A Simplified Approach for Control of Rotating Stall, Parts I and II,” Proceedings of the 29th Joint Propulsion Conference, AIAA papers 93-2229 & 93-2234.
Eveker, K. M., Gysling, D. L., Nett, C. N., and Sharma, O. P., 1995, “Integrated Control of Rotating Stall and Surge in Aeroengines,” 1995 SPIE Conference on Sensing, Actuation, and Control in Aeropropulsion.
Krstić,  M., Fontaine,  D., Kokotović,  P. V., and Paduano,  J. D., 1998, “Useful Nonlinearities and Global Bifurcation Control of Jet Engine Surge and Stall,” IEEE Trans Automatic Control, 43, pp. 1739–1745.
Mansoux, C. A., Setiawan, J. D., Gysling, D. L., and Paduano, J. D., 1994, “Distributed Nonlinear Modeling and Stability Analysis of Axial Compressor Stall and Surge,” 1994 American Control Conference.
Behnken, R. L., D’Andrea, R., and Murray, R. M., 1995, “Control of Rotating Stall in a Low-speed Axial Flow Compressor Using Pulsed Air Injection: Modeling, Simulations, and Experimental Validation,” Proceedings of the 1995 IEEE Conference on Decision and Control, pp. 3056–3061.
Jankovic, M., 1995, “Stability Analysis and Control of Compressors with Noncubic Characteristic,” PRET Working Paper B95-5-24.
Sepulchre,  R., and Kokotović,  P. V., 1998, “Shapes Signifiers for Control of Surge and Stall in Jet Engines,” IEEE Transactions on Automatic Control, 43, pp. 1643–1648.
McCaughan,  F. E., 1990, “Bifurcation Analysis of Axial Flow Compressor Stability,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math., 20, pp. 1232–1253.
Wang, H.-H., Krstić, M., and Larsen, M., 1997, “Control of Deep-Hysteresis Aeroengine Compressors—Part I: A Moore-Greitzer Type Model,” Proc. 1997 American Control Conference, pp. 1003–1007.
Meyers, M. R., Gysling, D. L., and Eveker, K. M., 1995, “Benchmark for Control Design: Moore-Greitzer Model,” PRET Working Paper, UTRC95-9–18.
Khalil, H. K., 1996, Nonlinear Systems, Second Edition, Prentice Hall, Englewood Cliffs, NJ.
Krener, A. J., 1995, “The Feedbacks Which Soften the Primary Bifurcation of MG3,” PRET Working Paper B95-9-11.
Badmus, O. O., Nett, C. N., and Schork, F. J., 1991, “An Integrated, Full-Range Surge Control/Rotating Stall Avoidance Compressor Control System,” Proceedings of the 1991 American Control Conference, pp. 3173–3180.
Simon,  J. S., Valavani,  L., Epstein,  A. H., and Greitzer,  E. M., 1993, “Evaluation of approaches to active compressor surge stabilization,” ASME J. Turbomachinery, 115, pp. 57–67.

Figures

Grahic Jump Location
Axisymmetric and rotating stall characteristics of an experimental compressor at Caltech. The stall characteristic exhibits deep hysteresis.
Grahic Jump Location
Equilibria of the ε-MG3 model with ε=0
Grahic Jump Location
Equilibria of the ε-MG3 model with ε=0.9
Grahic Jump Location
R vs Φ relationship with varying ε
Grahic Jump Location
R vs Ψ relationship with varying ε
Grahic Jump Location
Bifurcation diagrams for the open-loop system with ε=0 and β=0.71. The throttle opening γ is the bifurcation parameter.
Grahic Jump Location
Bifurcation diagrams for the open-loop system with ε=0.9 and β=0.71
Grahic Jump Location
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.
Grahic Jump Location
The function NΨ(Ψ). Variations in Γ result in no more than one stall and one axisymmetric equilibrium.
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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).
Grahic Jump Location
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.
Grahic Jump Location
Closed-loop bifurcation diagrams for ε=0.6 with UTRC controller. The control gains are kR=3 and kΦ̇=1,10,100.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In