Nonlinear dynamics and control analysis of combustion instabilities based on the “Flame Describing Function” (FDF)
type: Dataset
description: This thesis is concerned with an investigation of combustion instabilities in premixed combustors. This problem has been the subject of a continuous effort in relation with the many issues encountered in practical systems like those used in propulsion and energy production. Combustion instabilities usually arise from the coupling between combustion and acoustic eigenmodes of the system. In most cases such resonances lead to vibrations, structural fatigue and intensified heat fluxes to the chamber walls. The first part of this thesis pursues the development of prediction methods for combustion instabilities and the associated nonlinear phenomena such as limit cycles establishment, triggering, mode switching and hysteresis. The aim is to delineate physical mechanisms and develop analytical methods dedicated to prediction. The theoretical framework relies on the “harmonic balance” formalism well known in the domain of control and which has been adopted more recently in combustion instability studies carried out at EM2C, CNRS laboratory. Through this concept, it is possible to take into account the evolution of the flame response as a function of amplitude. This flame response, depending on frequency and amplitude, extends the flame transfer function principle and is designated as the “Flame Describing Function” (FDF). The development of the FDF framework is pursued in the present study. The experimental setup which exemplifies combustion instabilities and serves to validate the method has generic features as it comprises in an idealized version, all the parts found in practical systems : a feeding manifold delivering a mixture of methane and air, a multipoint injector made of a perforated plate anchoring a collection of small laminar conical flames and a flame tube made of quartz which confines the combustion zone. The downstream boundary of the system is open. This device allows a simplified analysis and provides a wide variety of configurations through the continuous…
landing page: https://theses.hal.science/tel-00870770
identifier: NNT: 2012ECAP0056
keyword: combustion-instabilities
keyword: couplage-thermoacoustique
keyword: cycle-limite-stable
keyword: flame-describing-function
keyword: infoeu-reposemanticsdoctoralthesis
keyword: instabilites-de-combustion
keyword: spiotherengineering-sciences-physicsother
keyword: thermoacoustic-coupling
keyword: theses
issued: 2026-05-09T11:01:01.650155
modified: 2026-05-09T11:01:01.650160
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Nonlinear dynamics and control analysis of combustion instabilities based on the “Flame Describing Function” (FDF)
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format: HTML
access URL: https://theses.hal.science/tel-00870770
issued: 2026-05-09T11:01:01.656432
modified: 2026-05-09T11:01:01.636209