Title :
A physically based nonlinear model of combustion instability and active control
Author :
Fleifil, M. ; Annaswamy, A.M. ; Rumsey, J.W. ; Kojic, A. ; Ghoniem, A.F.
Author_Institution :
Dept. of Mech. Eng., MIT, Cambridge, MA, USA
Abstract :
This paper addresses the ubiquitous limit cycle dynamics that occur in combustion processes in the context of thermoacoustic excitation. We present a finite-dimensional nonlinear model that is derived from the physics of heat release and its interactions with acoustics. We show that this model is capable of exhibiting limit cycle under a range of operating conditions and flow rates. Properties of the nonlinear model are verified numerically using the partial differential equation models, as well as experimentally on a bench top combustor rig. The linear control based on ℋ2-optimization is shown to be effective for a large class of initial conditions. Neural control is shown to lead to limit cycle suppression in combustion systems in the presence of modelling errors
Keywords :
combustion; dynamics; limit cycles; neurocontrollers; nonlinear systems; optimisation; partial differential equations; stability; thermoacoustics; active control; combustion instability; dynamics; flow rates; limit cycle; neurocontrol; nonlinear model; optimization; partial differential equation; stability; thermoacoustic excitation; Acoustics; Combustion; Fires; Limit-cycles; Mechanical engineering; Nonlinear dynamical systems; Nonlinear equations; Numerical models; Partial differential equations; Physics;
Conference_Titel :
Control Applications, 1998. Proceedings of the 1998 IEEE International Conference on
Conference_Location :
Trieste
Print_ISBN :
0-7803-4104-X
DOI :
10.1109/CCA.1998.721646