Modeling and model predictive control of combustion instabilities in a multi-section combustion chamber using two-port elements

This paper deals with the modeling and control of thermo-acoustic instabilities in a combustion chamber, using a Helmholtz resonator approach and two-port elements. The perturbation of the pressure alongside the combustion chamber is modeled by one dimensional pressure waves, incorporating the turbulent effect of sudden cross sectional area changes in the duct. A non-linear flame model is used to describe the interactions between pressure and heat release oscillations. Finally, an offset-free MPC is designed to stabilize the thermo-acoustic instability in the experimental setup.