Analysis of a tractable model for combustion instability : the effect of delay and low pass filtering

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

1 LAG - Laboratoire d'automatique de Grenoble
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 (K-B) method. The analysis shows that the model captures the phenomenon of two coexisting oscillating modes which has been noted in combustion instability in [1], [2]. Conditions for the occurrence of various operation regimes have been established. The importance of delay and low pass filtering is discussed in this article. A frequency domain comparison between K-B approximations and the true outputs of the model has been provided in the end of the paper.

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

Domaines: Automatique

Fethi Bouziani, Ioan Doré Landau, Robert Bitmead, Alina Voda. Analysis of a tractable model for combustion instability : the effect of delay and low pass filtering. 2006, 6 p. ⟨hal-00126359⟩