State-space modeling of thermoacoustic systems for stability analysis and time domain simulation

摘要: In this work state-space methodology for modeling thermoacoustic systems is presented. Two applications are considered: time domain simulation of plane wave acoustic fields in combustor-like geometries and linear stability analysis. The stability analysis based on statespace models is applied to a model combustor and the results obtained are identical to those of an equivalent frequency domain calculation. In terms of computing time, the method proposed here is much faster and it is demonstrated that parametric studies to obtain stability maps can be conducted in a minimal amount of time. In addition to that, modeling and simulation results are compared to experimental data from an acoustic test rig and an atmospheric swirl stabilized burner. The approach is shown to produce accurate results.