The Origin of Secondary Peaks with Active Control of Thermoacoustic Instability

REFERENCES

• Annaswamy , A. M. , El-Rifai , O. , Fleifil , M. and Ghoniem , A. F. , “ A model-based self-tuning controller for ihermoacoustic instability ,” in Proceedings of the 16th International
   Google Scholar
• Colloquium on the Dynamics of Explosions and Reactive Systems ( Cracow , Poland), August 1997a .
   Google Scholar
• Annaswamy , A. M. , Fleifil , M. , Hathout , J. P. and Ghoniem , A. F. ( 1997 b) “ Impact of linear coupling on the design of active controllers for thermoacoustic instability ,” Combustion Since and Technology, 128 , 131 – 180 .
   Web of Science ®Google Scholar
• Annaswamy , A. M. , Fleifil , M , Rumsey , J. W. , Hathout , J. P. and Ghoniem , A. F. ( 1997 c) “ An input-output model of thermoacoustic instability and active control design ,” IEEE Control System Technology , submitted.
   Google Scholar
• Billoud , G. , Galland , M. A , Huu , C. H. and Candel , S. ( 1992 ). “ Adaptive active control of combustion instabilities ,” Combust. Sci and Tech. , 81 , 257 – 283 .
   Web of Science ®Google Scholar
• Bloxsidge , G. J. , Dowling , A. P. , Hooper , N. and Langhorne , P. J. ( 1987 ) “ Active control of an acoustically driven combustion instability ,” Journal of Theoretical and Applied Mechanics , vol. supplement to Vol. 6 .
   Google Scholar
• Culick , F. E, C. ( 1976 ) “ Nonlinear behavior of acoustic waves in combustion chambers ”, Acta Astronautica, 3 , 715 – 756 .
   Web of Science ®Google Scholar
• Dowling , A. P. ( 1996 ) “ Nonlinear acoustically-coupled combustion oscillations ,” 2nd AIAA/ CEAS Aeroacoustics Conference , May 6 – 8 .
   Google Scholar
• Flefil , M. , Annaswamy , A. M. , Ghoniem , Z. and Ghoniem , A. F. ( 1996 ) “ Response of a laminar premixed flame to flow oscillations: A kinematic model and thermoacoustic instability result ,” Combustion and Flame , 106 , 487 – 510 .
   Google Scholar
• Fung . Y.-T. , Yang , V. and Sinha , A , ( 1991 ) “ Active control of combustion instabilities with distributed actuators ,” Combust. Sci and Tech., 78 , 217 – 245 .
   Web of Science ®Google Scholar
• Fung , Y. -T. and Yang , V. ( 1992 ) “ Active control of nonlinear pressure oscillations in combustion chambers ,” Journal of Propulsion of Power , 8 ( 6 ), 1282 – 1289 .
   Web of Science ®Google Scholar
• Gulati , A. and Mani , R. ( 1992 ) “ Active control of unsteady combustion-induced oscillations ,” Journal of Propulsion and Power , 8 ( 5 ), 1109 – 1115 .
   Web of Science ®Google Scholar
• Gutmark , E. , Parr , T. P. , Wilson , K. J , Hanson-Parr , D. M. and Schadow , K. C. ( 1993 ) “ Closed-loop control in a flame and a dump combustor ,” IEEE Control Systems , 13 , 73 – 78 .
   Google Scholar
• Heckl , M. A. “ Active control of the noise from a Rijke tube, ” In: Aero- and Hydro-Acoustics ( Comte-Bellot , G. , Williams J . F. , Eds.), pp. 211 – 216 , Springer, ( 1986 ). Berlin Heidelberg
   Google Scholar
• Lang , W. , Poinsot , T. and Candel , S. ( 1987 ) “ Active control of combustion instability ,” Combustion and Flame , 70 , 281 – 289 .
   Web of Science ®Google Scholar
• Langhorne , P. J. , Dowling , A. P. and Hooper , N. ( 1990 ) “ Practical active control system for combustion oscillations ,” Journal of Propulsion and Power , 6 ( 3 ), 324 – 333 .
   Web of Science ®Google Scholar
• McManus , K. R. , Vandsburger , U. and Bowman , C. T. ( 1990 ) “ Combustor performance enhancement through direct shear layer excitation ,” Combustion and Flame , 82 . 7592.
   Google Scholar
• McManus , K. R. and Magill , J, C. ( 1997 ) “ Control of thermo-acoustic instabilities using pulse width modulation, ” Proceedings of the 1997 IEEE International Conference on Control Applications , Hartford , CT , pp. 824 – 829 .
   Google Scholar
• Myint-u , T. and Debnath , L. “ Partial Differential Equations for Scientists and Engineers, ” Elsevier Science Publishing Co., ( 1987 ) New York , NY .
   Google Scholar
• Peracchio , A. A. and Proscia , W. ( 1998 ) Nonlinear heat reslease/acoustic model for thermoacoustic instability in lean premixed combustors, In: ASME Gas Turbine and Aerospace Congress (Sweden).
   Google Scholar
• Poinsot , T. , Bourienne , F. , Candel , S. and Esposito , E. ( 1989 ) “ Suppression of combustion instabilities by active control ,” Journal of Propulsion and Power , 5 ( 1 ), 14 – 20 .
   Web of Science ®Google Scholar
• Tiemo , J. E. and Doyle , J. C. ( 1992 ). “ Multimode active stabilization of a Rijke tube ,” In: DSC , Vol. 38 , ASME Winter Annual Meeting.
   Google Scholar
• Yang , V. , Sinha , A. and Fung , Y. -T. ( 1992 ) “ State feedback control of longitudinal combustion instabilities ,” Journal of Propulsion and Power , Vol. 8 .
   Google Scholar
• Zinn , B. T. and Lores , M. E. ( 1972 ) "Application of the galerkin method in the solution of
   Google Scholar
• nonlinear axial combustion instability problems in liquid rockets, CST , 4 , 269 – 278 .
   Google Scholar
• Submitted to Combustion Science and Technology.
   Google Scholar
• Corresponding author.
   Google Scholar