Dynamics and control of premixed combustion systems based on flame transfer and describing functions

Schuller, Thierry; Poinsot, Thiérry; Candel, Sébastien

doi:10.1017/jfm.2020.239

Cited by 104 publications

(45 citation statements)

References 128 publications

(192 reference statements)

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“…Traditionally, most literature on modeling thermoacoustic instabilities focused on silo-type (one single can) or annular combustors (see, for instance, [11][12][13][14] and [15][16][17], respectively). However, as energy demand continues to rise and energy networks are changing, larger gas turbines are required.…”

Section: Thermoacoustic Instabilities In Can-annular Combustorsmentioning

confidence: 99%

Steady-state statistics, emergent patterns and intermittent energy transfer in a ring of oscillators

Pedergnana

Noiray

2022

Nonlinear Dyn

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Networks of coupled nonlinear oscillators model a broad class of physical, chemical and biological systems. Understanding emergent patterns in such networks is an ongoing effort with profound implications for different fields. In this work, we analytically and numerically study a symmetric ring of N coupled self-oscillators of van der Pol type under external stochastic forcing. The system is proposed as a model of the thermo- and aeroacoustic interactions of sound fields in rigid enclosures with compact source regions in a can-annular combustor. The oscillators are connected via linear resistive coupling with nonlinear saturation. After transforming the system to amplitude-phase coordinates, deterministic and stochastic averaging is performed to eliminate the fast oscillating terms. By projecting the potential of the slow-flow dynamics onto the phase-locked quasi-limit cycle solutions, we obtain a compact, low-order description of the (de-)synchronization transition for an arbitrary number of oscillators. The stationary probability density function of the state variables is derived from the Fokker–Planck equation, studied for varying parameter values and compared to time series simulations. We leverage our analysis to offer explanations for the intermittent energy transfer between Bloch waves observed in acoustic pressure spectrograms observed of real-world gas turbines.

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Section: Thermoacoustic Instabilities In Can-annular Combustorsmentioning

confidence: 99%

Steady-state statistics, emergent patterns and intermittent energy transfer in a ring of oscillators

Pedergnana

Noiray

2022

Nonlinear Dyn

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“…Among others, there are several types of health risks' scenarios: vibrations [1], short circuits [2], and fuel [3] and toxic gas leaks (propane, methane, ethane, carbon monoxide, and carbon dioxide) [4]. Exemplarily, propane gas detection systems play a very important role in the work with boilers because they prevent possible explosions due to failures in flame control [5]. These protection systems basically consist of a chemical sensor for propane gas and an electronic circuit for signal adaptation.…”

Section: Introductionmentioning

confidence: 99%

A Gas Sensor for Application as a Propane Leak Detector

Bonilla

Guillén-Bonilla

Rodríguez-Betancourtt

et al. 2021

Journal of Sensors

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A propane gas detector was built based on the semiconductor nickel antimonate oxide (NiSb2O6) by means of an analog electronic circuit. The gas detector was designed for monitoring atmospheres where the leakage of propane gas could possibly occur. The prototype’s construction methodology is presented in 5 stages: (1) synthesis of NiSb2O6 oxide powders, (2) characterization of the powders by XRD and TEM, (3) manufacture and electrical characterization of the chemical gas sensor, (4) design of the analog circuit based on the electrical response of the gas sensor, and (5) functionality tests. The gas detector was built at low cost and showed excellent functionality. The operating conditions were as follows: 200°C, gas concentration of 5 ppm, electronic circuit gain of 5, and sensor sensitivity of 0.41.

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“…Unfortunately, this simplified analysis does not adequately predict the evolution of the natural frequencies of the tube with the varying flame position r in the experimental set-up, as will be shown below. Further efforts have introduced acoustic and radiative losses as main deviations from the theoretical predictions of stability (Clavin et al 1990;Schuller, Poinsot & Candel 2020). However, additional thermal effects in non-adiabatic long and thin tubes at constant wall temperature may substantially modify the burnt-region isothermal picture presented above, causing major variations in the acoustic coupling of the system upon introduction of non-constant distributions Δ(ξ ) in (2.2a,b).…”

Section: Primary Acoustic Instabilitiesmentioning

confidence: 99%

Non-adiabatic modulation of premixed-flame thermoacoustic frequencies in slender tubes

et al. 2022

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This paper presents an experimental study of the influence of heat losses on the onset of thermoacoustic instabilities in methane–air premixed flames propagating in a horizontal tube of diameter, $D = 10$ mm. Flames are ignited at the open end of the tube and propagate towards the closed end undergoing strong oscillations of different features owing to the interaction with acoustic waves. The frequency of oscillation and its axial location are controlled through the tube length $L$ and the intensity of heat losses. These parameters are respectively modified in the experiments by a moveable piston and a circulating thermal bath of water prescribing temperature conditions. Main experimental observations show that classical one-dimensional predictions of the oscillation frequency do not accurately describe the phenomena under non-adiabatic real scenarios. In addition to the experimental measurements, a quasi-one-dimensional analysis of the burnt gases is provided, which introduces the effect of heat losses at the wall of the tube on the interplay between the acoustic field and the reaction sheet. As a result, this analysis provides an improved description of the interaction and accurately predicts the excited flame-oscillation harmonics through the eigenvalues of the non-adiabatic acoustics model. Unlike the original one-dimensional analysis, the comparison between the flame oscillation frequency provided by the non-adiabatic extended theory and the frequencies measured in our experiments is in excellent agreement in the whole range of temperatures considered. This confirms the importance of heat losses in the modulation of the instabilities and the transition between different flame oscillation regimes.

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Dynamics and control of premixed combustion systems based on flame transfer and describing functions

Cited by 104 publications

References 128 publications

Steady-state statistics, emergent patterns and intermittent energy transfer in a ring of oscillators

Steady-state statistics, emergent patterns and intermittent energy transfer in a ring of oscillators

A Gas Sensor for Application as a Propane Leak Detector

Non-adiabatic modulation of premixed-flame thermoacoustic frequencies in slender tubes

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