A nonlinear model for combustion instability: analysis and quenching of the oscillatrions

Ioan Doré Landau (1) , Fethi Bouziani (1) , Robert Bitmead (2)

1 GIPSA-SLR - GIPSA - Systèmes linéaires et robustesse
2 MAE - UC San Diego - Department of Mechanical and Aerospace Engineering [Univ California San Diego]

In this paper a new analytically tractable model for combustion instability is proposed. The model is based on two coupled resonators in a feedforward path, and a feedback path composed of a delay, generalized Van der Pol term and a low pass filter. The model is analyzed and approximated using a refined Krylov-Bogoliubov method. The analysis shows that the model captures the two oscillating modes coexistence phenomena which have been noted in combustion instability.Conditions for the occurrence of various operation regimes have been established. The importance of delay and low pass filtering is discussed in this article. The problem of quenching the oscillations by feedback is disucssed and two solutions are proposed and evaluated

Mots clés: Krylov-Bogoliubov method.; Krylov-Bogoliubov method; modelling; combustion instability; nonlinear oscillating systems

Domaines: Automatique

Ioan Doré Landau, Fethi Bouziani, Robert Bitmead. A nonlinear model for combustion instability: analysis and quenching of the oscillatrions. A. Astolfi, L. Marconi. Analysis and design of nonlinear control systems, Springer, pp.100-119, 2007. ⟨hal-00133806⟩