253
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Model-based control of thermoacoustic instabilities in partially premixed lean combustion – a design case study

&
Pages 2052-2066 | Received 13 Mar 2013, Accepted 27 Jul 2013, Published online: 16 Oct 2013

References

  • Abu-orf , G . 1996 . Laminar flamelet reaction rate modeling for spark ignition engines , University of Manchester Institute of Science and Technology, UK .
  • Annaswamy , A. M. and Ghoniem , A. F . 2002 . Active control of combustion instabilities: Theory and practice . IEEE Control Systems Magazine , 22 : 37 – 54 . doi: 10.1109/MCS.2002.1077784
  • Baker , G. A.J. and Graves-Morris , P . 1996 . Padé approximants , Cambridge: Cambridge University Press .
  • Balachandran , R . 2005 . Experimental investigation of the response of turbulent premixed flames to acoustic oscillations , Cambridge University, UK .
  • Balachandran , R. , Ayoola , B. O. , Kaminski , C. F. , Dowling , A. P. and Mastorakos , E . 2005 . Experimental investigation of the nonlinear response of turbulent premixed flames to imposed inlet velocity oscillations . Combustion and Flame , 143 : 37 – 55 . doi: 10.1016/j.combustflame.2005.04.009
  • Balachandran , R. and Dowling , A. P . 2008 . Nonlinear response of turbulent premixed flames to imposed inlet velocity oscillations of two frequencies . Flow Turbulence Combustion , 80 : 455 – 487 . doi: 10.1007/s10494-008-9139-1
  • Blair , J. R.S. and Peyton , B. W . 1993 . An introduction to chordal graphs and clique trees . IMA Volumes in Mathematics and its Applications , 50 : 1 – 30 .
  • Burke , J. V. , Henrion , D. , Lewis , A. and Overton , M . “ HIFOO – A MATLAB package for fixed-order controller design and H-infinity optimization ” . In Proceedings of IFAC Symposium on Robust Control Design Toulouse , , France
  • Campos-Delgado , D. U. , Schuermans , B. B.H. , Zhou , K. , Paschereit , C. O. , Gallestey , E. and Poncet , A . 2003 . Thermoacoustic instabilities: Modelling and control . IEEE Transactions on Control Systems Technology , 11 : 429 – 447 . doi: 10.1109/TCST.2003.810402
  • Candel , S . 2002 . Combustion dynamics and control: Progress and challenges . Proceedings of the Combustion Institute , 29 : 1 – 28 . doi: 10.1016/S1540-7489(02)80007-4
  • Cho , J. H. and Lieuwen , T . 2005 . Laminar premixed flame response to equivalence ratio oscillations . Combustion and Flame , 140 : 116 – 129 . doi: 10.1016/j.combustflame.2004.10.008
  • Chu , Y. C. , Glover , K. and Dowling , A. P . 2003 . Control of combustion oscillations via loop-shaping, μ-analysis and integral quadratic constraints . Automatica , 39 : 219 – 231 . doi: 10.1016/S0005-1098(02)00226-1
  • Dowling , A. P . 1997 . Nonlinear self-excited oscillations of a ducted flame . Journal of Fluid Mechanics , 346 : 271 – 290 . doi: 10.1017/S0022112097006484
  • Dowling , A. P . 1999 . A kinematic model of a ducted flame . Journal of Fluid Mechanics , 394 : 51 – 72 . doi: 10.1017/S0022112099005686
  • Dowling , A. P. and Morgans , A. S . 2005 . Feedback control of combustion oscillations . Annual Review of Fluid Mechanics , 37 : 151 – 182 . doi: 10.1146/annurev.fluid.36.050802.122038
  • Dowling , A. P. and Stow , S. R . 2003 . Acoustic analysis of gas turbine combustors . Journal of Propulsion and Power , 19 : 751 – 764 . doi: 10.2514/2.6192
  • Fleifil , M. , Annaswamy , A. M. , Ghoniem , Z. A. and Ghoniem , A. F . 1996 . Response of a laminar premixed flame to flow oscillations: A kinematic model and thermoacoustic instability results . Combustion and Flame , 106 : 487 – 510 . doi: 10.1016/0010-2180(96)00049-1
  • Franzelli , B. , Riber , E. , Giquel , L. and Poinsot , T . 2012 . Large-eddy simulation of combustion instabilities in a lean partially premixed swirled flame . Combustion and Flame , 159 : 621 – 637 . doi: 10.1016/j.combustflame.2011.08.004
  • Glover , K. and Yuan , X. C . 2012 . “ Balanced realisations of all-pass systems using exact arithmetic and with application to the approximation of delay systems ” . In Proceedings of 51th IEEE Conference on Decision and Control 4942 – 4946 . Maui , HI
  • Hy‘de , R. A. and Glover , K . 1993 . aerospace control design, a VSTOL flight application , Berlin: Springer .
  • Kim , K. T. , Lee , J. G. , Quay , B. D. and Santavicca , D. A . 2010 . Response of partially premixed flames to acoustic velocity and equivalence ratio perturbations . Combustion and Flame , 157 : 1731 – 1744 . doi: 10.1016/j.combustflame.2010.04.006
  • Kinsler , L. , Frey , A. , Coppens , A. and Sanders , J. Fundamentals of acoustics , 3rd ed.
  • Lieuwen , T. and Yang , V. 2006 . Combustion instabilities in gas turbine engines: Operational experience, fundamental mechanisms, and modeling , Vol. 210 , USA: AIAA .
  • Lieuwen , T. and Zinn , B. T . 1998 . The role of equivalence ratio oscillations in driving combustion instabilities in low NOx gas turbines . Proceedings of the Combustion Institute , 27 : 1809 – 1816 .
  • McFarlane , D. C. and Glover , K . 1992 . A loop shaping design procedure using synthesis . IEEE Transactions on Automatic Control , 37 : 759 – 769 . doi: 10.1109/9.256330
  • Megretski , A. and Rantzer , A . 1997 . System analysis via integral quadratic constraints . IEEE Transactions on Automatic Control , 42 : 819 – 830 . doi: 10.1109/9.587335
  • Noiray , N. , Durox , D. , Schuller , T. and Candel , S . 2008 . A unified framework for nonlinear combustion instability analysis based on the flame describing function . Journal of Fluid Mechanics , 615 : 139 – 167 . doi: 10.1017/S0022112008003613
  • Ober , R. J . 1986 . Asymptotically stable all-pass transfer functions: Canonical form, parametrization and realization , Cambridge University, Engineering Department, UK . Technical report
  • Prempain , E. and Postlethwaite , I . 2005 . Static loop shaping control of a fly-by-wire helicopter . Automatica , 41 : 1517 – 1528 . doi: 10.1016/j.automatica.2005.04.001
  • Rantzer , A . 2010 . “ Distributed performance analysis of heterogeneous systems ” . In Proceedings of 49th IEEE Conference on Decision and Control 2682 – 2685 . Atlanta , GA
  • Tierno , J. E. and Doyle , J. C. “ Multimode active stabilization of a Rijke tube ” . In Presented at the ASME winter annual meeting-active control of noise and vibration, DSC-Vol. 38, pp. 65–68
  • Vinnicombe , G . 1996 . The robustness of feedback systems with bounded complexity controllers . IEEE Transactions on Automatic Control , 41 : 795 – 803 . doi: 10.1109/9.506232
  • Vinnicombe , G . 2001 . Uncertainty and feedback: loop-shaping and v-gap metric , London: Imperial College Press .
  • Yuan , X. C . 2011 . Analysis and control of thermoacoustic instability , Cambridge University, UK .
  • Yuan , X. C. and Glover , K . 2010 . “ Model-based thermoacoustic oscillation control via loop-shaping and integral quadratic constraints ” . In Proceedings of 49th IEEE Conference on Decision and Control 4299 – 4304 . Atlanta , GA
  • Yuan , X. C. and Glover , K . 2011 . “ Model refinement for the active control of thermoacoustic instability ” . In Proceedings of 50th IEEE Conference on Decision and Control and European Control Conference 1686 – 1691 . Orlando , FL
  • Yuan , X. C. , Glover , K. and Dowling , A. P . 2010 . “ Modeling investigation for the thermoacoustic oscillation control ” . In Proceedings of 2010 American Control Conference 3323 – 3328 . Baltimore , MD
  • Zhou , K. , Doyle , J. C. and Glover , K . 1995 . Robust and optimal control , USA: Prentice Hall .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.