Modelling of thermo–acoustic instabilities
(2019) IFAC Workshop TFMST — Location: Louvain-la-Neuve (3.July.2019)
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- Authors
Dochain, Denis 
- Abstract
- This paper proposes a combination of mixed finite and infinite port–Hamiltonian (m– phs) control models describing thermo–acoustic instabilities in Rijke’s tubes. This experimental setup is a vertical tube open at both ends where a heating element is embedded at its lower part. Thermo–acoustic instabilities occur when the heat transfer is coupled with the acoustic field and generates a loud humming sound. Instabilities can be rejected with a boundary feedback controller. The acoustic pressure at the tube’s top end is measured while the acoustic velocity is actuated at the bottom of the tube with a loudspeaker. The loudspeaker, the heat release process, and the open–end impedance are governed by finite–dimensional port–Hamiltonian systems. The acoustic field is represented as interconnected wave equations. All subsystems are interconnected through power preserving structures enabling the formulation of the open loop as a m–phs.
- Affiliations
Citations
Vincent, B., Hudon, N., Lefèvre, L., & Dochain, D. (2019). Modelling of thermo–acoustic instabilities. Proc. IFAC Workshop TFMST, 35-40. https://hdl.handle.net/2078.5/170146 (Original work published 2019)