Cross-talk-interaction-induced combustion instabilities in a can-annular lean-premixed combustor configuration

Moon, Kihun; Jegal, Hyunwook; Yoon, Changjin; Kim, Kyu Tae

doi:10.1016/j.combustflame.2020.06.041

Cited by 26 publications

(30 citation statements)

References 39 publications

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“…5 and 6 of Ref. [23], respectively. We note that the oscillators in the latter reference are coupled in a different way (by long tubes) than in the former reference (small gap near the turbine inlet), and that, as discussed in Sect.…”

Section: Thermoacoustic Instabilities In Can-annular Combustorsmentioning

confidence: 99%

“…The cans are thermodynamically decoupled from each other, but the annular turbine inlet is shared by all can outlets and allows for acoustic cross-talk between neighboring cans. Theoretical, numerical and experimental studies performed at Siemens [18][19][20][21], General Electric [22][23][24] and Ansaldo Energia Switzerland [25,26] are testament to the increased interest of industry in the thermoacoustics of can-annular combustors. In Ref.…”

Section: Thermoacoustic Instabilities In Can-annular Combustorsmentioning

confidence: 99%

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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%

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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“…Figure 1( a – c ) shows the experimental set-up, which is identical to that used by Moon et al. (2020 b , 2021). It consists of four cylindrical combustors, each containing a lean-premixed CH–air flame stabilized in a turbulent swirling injector flow.…”

Section: Experimental Set-upmentioning

confidence: 99%

Synchronization and chimeras in a network of four ring-coupled thermoacoustic oscillators

et al. 2022

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We take a complex systems approach to investigating experimentally the collective dynamics of a network of four self-excited thermoacoustic oscillators coupled in a ring. Using synchronization metrics, we find a wide variety of emergent multi-scale behaviour, such as (i) a transition from intermittent frequency locking on a $\mathbb {T}^{3}$ quasiperiodic attractor to a breathing chimera, (ii) a two-cluster state of anti-phase synchronization on a periodic limit cycle, and (iii) a weak anti-phase chimera. We then compute the cross-transitivity from recurrence networks to identify the dominant direction of the coupling between the heat-release-rate ( $q^{\prime }_{\mathbb {X}}$ ) and pressure ( $p^{\prime }_{\mathbb {X}}$ ) fluctuations in each individual oscillator, as well as that between the pressure ( $p^{\prime }_{\mathbb {X}}$ and $p^{\prime }_{\mathbb {Y}}$ ) fluctuations in each pair of coupled oscillators. We find that networks of non-identical oscillators exhibit circumferentially biased $p^{\prime }_{\mathbb {X}}$ – $p^{\prime }_{\mathbb {Y}}$ coupling, leading to mode localization, whereas networks of identical oscillators exhibit globally symmetric $p^{\prime }_{\mathbb {X}}$ – $p^{\prime }_{\mathbb {Y}}$ coupling. In both types of networks, we find that the $p^{\prime }_{\mathbb {X}}$ – $q^{\prime }_{\mathbb {X}}$ coupling can be symmetric or asymmetric, but that the asymmetry is always such that $q^{\prime }_{\mathbb {X}}$ exerts a greater influence on $p^{\prime }_{\mathbb {X}}$ than vice versa. Finally, we show through a cluster analysis that the $p^{\prime }_{\mathbb {X}}$ – $p^{\prime }_{\mathbb {Y}}$ interactions play a more critical role than the $p^{\prime }_{\mathbb {X}}$ – $q^{\prime }_{\mathbb {X}}$ interactions in defining the collective dynamics of the system. As well as providing new insight into the interplay between the $p^\prime_{\mathbb{X}}\text{--}p^\prime_{\mathbb{Y}}$ and $p^\prime_{\mathbb{X}}\text{--}q^\prime_{\mathbb{X}}$ coupling, this study shows that even a small network of four ring-coupled thermoacoustic oscillators can exhibit a wide variety of collective dynamics. In particular, we present the first evidence of chimera states in a minimal network of coupled thermoacoustic oscillators, paving the way for the application of oscillation quenching strategies based on chimera control.

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“…Guan et al [28] investigated the characteristics of synchronization and chaos in a variablelength liquid spray combustor, revealed that the liquid-fueled non-premixed combustor can exhibit dynamics as the premixed combustors. Moon et al [29,30] studied the coupling and decoupling characteristics of thermoacoustic oscillations under different lengths and cross-talk interactions, and they found the mode clustering phenomenon during experiments. Sen et al [31] explored the dynamic attributes of combustion instability with recurrence analysis methods, and the air flow rate and flame position were studied to see the flame behaviour.…”

Section: Introductionmentioning

confidence: 99%

“…Although there are some studies on the influence of burner sizes on the dynamic characteristics of thermoacoustic oscillation [27][28][29][30][31][32]. At present, there is still no research investigates the nonlinear effect of combustor length and fuel flow rate on thermoacoustic instability.…”

Section: Introductionmentioning

confidence: 99%

Effects of operating parameters on the combustion oscillation behaviour in a lean premixed CH4 combustor

Tao

Zhou

2021

J Mech Sci Technol

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This article experimentally studies the influence of operating parameters on thermoacoustic instability in a lean premixed combustor. The combustion chamber length and methane flow rate were selected as the operating parameter. Experimental results show that the flame experienced different oscillation modes as the combustion chamber length varies. With the nonlinear time-series analyzing tools, such as phase space reconstruction or recurrence plot, the dynamic characteristics of thermoacoustic instability can be acquired. As the methane flow rate increased from 2.0 L/min to 4.5 L/min, the thermoacoustically flame evolves from a chaotic state to a limit cycle state. There exists extreme oscillation point as the combustion chamber length increased from 100 mm to 800 mm. The maximum thermoacoustic instability point occurred at 600 mm. The flame shape is tightly connected with the thermoacoustic instability process, and a hollow inner recirculation region emerged. This article can promote the application of passive control methods in the prevention of combustion instability.

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Cross-talk-interaction-induced combustion instabilities in a can-annular lean-premixed combustor configuration

Cited by 26 publications

References 39 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

Synchronization and chimeras in a network of four ring-coupled thermoacoustic oscillators

Effects of operating parameters on the combustion oscillation behaviour in a lean premixed CH4 combustor

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