Deterministic quantities characterizing noise driven Hopf bifurcations in gas turbine combustors

Noiray, Nicolas; Schuermans, Bruno

doi:10.1016/j.ijnonlinmec.2012.11.008

Cited by 138 publications

(159 citation statements)

References 33 publications

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“…f m (r, z) = 1. Nevertheless, this analysis can be equally applied to three-dimensional modal structures as it is shown by Noiray & Schuermans [17]. The following wave equation, including source and damping terms is, therefore, considered…”

Section: Theoretical Modelmentioning

confidence: 99%

“…This is why the stochastic forcing produced by the highly turbulent reactive flow must be introduced in the model. Note that the influence of this random excitation on thermoacoustic couplings has only been considered in a limited number of studies [17,[19][20][21]. The noise generated by premixed turbulent flames has received attention from many researchers (e.g.…”

Section: Theoretical Modelmentioning

confidence: 99%

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On the dynamic nature of azimuthal thermoacoustic modes in annular gas turbine combustion chambers

2013

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This paper deals with the dynamics of standing and rotating azimuthal thermoacoustic modes in annular combustion chambers. Simultaneous acoustic measurements have been made at multiple circumferential positions in an annular gas turbine combustion chamber. A detailed statistical analysis of the spatial Fourier amplitudes extracted from these data reveals that the acoustic modes are continuously switching between standing, clockwise and counter-clockwise travelling waves. A theoretical framework from which the modal dynamics can be explained is proposed and supported by real gas turbine data. The stochastic differential equations that govern these systems have been derived and used as a basis for system identification of the measured engine data. The model describes the probabilities of the two azimuthal wave components as a function of the random source intensity, the asymmetry in the system and the strength of the thermoacoustic interaction. The solution of the simplified system is in good agreement with experimental observations on a gas turbine combustion chamber.

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Section: Theoretical Modelmentioning

confidence: 99%

Section: Theoretical Modelmentioning

confidence: 99%

On the dynamic nature of azimuthal thermoacoustic modes in annular gas turbine combustion chambers

2013

Self Cite

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“…These method increases the degree of calculating a fuzzy model using the neural networks layers structures. Therefore, this approach is typically referred to an adaptive fuzzy neural network inference system [14][15][16][26][27][28]. Figure 3 gives an example of a fuzzy data clustering structure with r rules signify as a neural network.…”

Section: Adaptive Fuzzy Neural Network Systemmentioning

confidence: 99%

Gas turbine modeling using adaptive fuzzy neural network approach based on measured data classification

Benyounes

Hafaifa

Kouzou

et al. 2016

Mathematics-in-Industry Case Studies

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The use of gas turbines is widespread in several industries such as; hydrocarbons, aerospace, power generation. However, despite to their many advantages, they are subject to multiple exploitation problem that need to be solved. Indeed, the purpose of the present paper is to develop mathematical models of this industrial system using an adaptive fuzzy neural network inference system. Where the knowledge variables in this complex system are determined from the real time input/output data measurements collected from the plant of the examined gas turbine. It is obvious that the advantage of the neuro-fuzzy modeling is to obtain robust model, which enable a decomposition of a complex system into a set of linear subsystems. On the other side, by focusing on the membership functions for residual generator to get consistent settings based on the used data structure classification and selection, where the main goal is to obtain a robust system information to ensure the supervision of the examined gas turbine.

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“…Recently, it has been shown that one can take advantage of the presence of inherent turbulent combustion noise -whose effect on thermoacoustic dynamics has rarely been investigated, e.g. [5,6] -to extract linear growth rates from limit cycle data [7,8] . One of the methods proposed in [7] is for the first time validated using turbulent combustion experiments.…”

Section: Introductionmentioning

confidence: 99%

A method to identify thermoacoustic growth rates in combustion chambers from dynamic pressure time series

Noiray

Денисов

2017

Proceedings of the Combustion Institute

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Deterministic quantities characterizing noise driven Hopf bifurcations in gas turbine combustors

Cited by 138 publications

References 33 publications

On the dynamic nature of azimuthal thermoacoustic modes in annular gas turbine combustion chambers

On the dynamic nature of azimuthal thermoacoustic modes in annular gas turbine combustion chambers

Gas turbine modeling using adaptive fuzzy neural network approach based on measured data classification

A method to identify thermoacoustic growth rates in combustion chambers from dynamic pressure time series

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