Open-loop control of periodic thermoacoustic oscillations: Experiments and low-order modelling in a synchronization framework

Guan, Yu; Gupta, Vikrant; Kashinath, Karthik; Li, Larry K.B.

doi:10.1016/j.proci.2018.07.077

Cited by 53 publications

(61 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similar observation has been mentioned in Lubarsky et al (2003), Bellows et al (2008) and Abel et al (2009). Amplification of the forcing signal has been found in a system of self-excited organ pipe for f f > f n0 (Abel et al 2009) and in a laminar flame combustor for f f < f n0 as well as f f > f n0 (Guan et al 2018). Thus, forcing the limit cycle oscillation at a frequency greater than the natural frequency of the oscillations might not lead to a is significantly away from f n0 is due to the phenomenon of asynchronous quenching (Minorsky 1967;Staubli 1987).…”

Section: Effect Of Forcing On the Response Amplitudesupporting

confidence: 82%

“…The phenomenon of asynchronous quenching occurring at both f f /f n0 < 1 and f f /f n0 > 1 is not observed in the present experimental set-up. However, using a laminar flame combustor, Guan et al (2018) showed the existence of asynchronous quenching for f f < f n0 as well as f f > f n0 , which qualitatively corroborates the forced Duffing-van der Pol oscillator with weak nonlinearity. 4.7.…”

Section: Effect Of Forcing On the Response Amplitudesupporting

confidence: 66%

“…Such a type of suppression phenomenon was experimentally evidenced in the control of ion-sound instability (Keen & Fletcher 1969), in self-excited ionization waves (Ohe & Takeda 1974) and even in the control of thermoacoustic instability (Guan et al 2018). Further, the reduction in response amplitude of thermoacoustic oscillation forced at non-resonant frequencies has been reported in previous studies (Lubarsky et al 2003;Bellows et al 2008;Guan et al 2018;Kashinath et al 2018). However, they did not focus on explaining the mechanism behind such a quenching of natural oscillations due to forcing.…”

Section: Forced Synchronization and Amplitude Quenchingmentioning

confidence: 96%

See 2 more Smart Citations

Forced synchronization and asynchronous quenching of periodic oscillations in a thermoacoustic system

2019

View full text Add to dashboard Cite

We perform an experimental and theoretical study to investigate the interaction between an external harmonic excitation and a self-excited oscillatory mode ($f_{n0}$) of a prototypical thermoacoustic system, a horizontal Rijke tube. Such an interaction can lead to forced synchronization through the routes of phase locking or suppression. We characterize the transition in the synchronization behaviour of the forcing and the response signals of the acoustic pressure while the forcing parameters, i.e. amplitude ($A_{f}$) and frequency ($f_{f}$) of forcing are independently varied. Further, suppression is categorized into synchronous quenching and asynchronous quenching depending upon the value of frequency detuning ($|\,f_{n0}-f_{f}|$). When the applied forcing frequency is close to the natural frequency of the system, the suppression in the amplitude of the self-excited oscillation is known as synchronous quenching. However, this suppression is associated with resonant amplification of the forcing signal, leading to an overall increase in the response amplitude of oscillations. On the other hand, an almost 80 % reduction in the root mean square value of the response oscillation is observed when the system is forced for a sufficiently large value of the frequency detuning (only for $f_{f}<f_{n0}$). Such a reduction in amplitude occurs due to asynchronous quenching where resonant amplification of the forcing signal does not occur, as the frequency detuning is significantly high. Further, the results from a reduced-order model developed for a horizontal Rijke tube show a qualitative agreement with the dynamics observed in experiments. The relative phase between the acoustic pressure ($p^{\prime }$) and the heat release rate ($\dot{q}^{\prime }$) oscillations in the model explains the occurrence of maximum reduction in the pressure amplitude due to asynchronous quenching. Such a reduction occurs when the positive coupling between $p^{\prime }$ and $\dot{q}^{\prime }$ is disrupted and their interaction results in overall acoustic damping, although both of them oscillate at the forcing frequency. Our study on the phenomenon of asynchronous quenching thus presents new possibilities to suppress self-sustained oscillations in fluid systems in general.

show abstract

Section: Effect Of Forcing On the Response Amplitudesupporting

confidence: 82%

Section: Effect Of Forcing On the Response Amplitudesupporting

confidence: 66%

Section: Forced Synchronization and Amplitude Quenchingmentioning

confidence: 96%

See 1 more Smart Citation

Forced synchronization and asynchronous quenching of periodic oscillations in a thermoacoustic system

2019

View full text Add to dashboard Cite

show abstract

“…In thermoacoustics, open-loop forcing has been shown to be able to weaken periodic self-excited oscillations in various combustion systems, ranging from the simple Rijke tube (Reynolds numbers of Re ∼ 10 3 with natural frequencies of f 1 ∼ 10 2 Hz; Guan, Murugesan & Li 2018;Kashinath et al 2018;Guan et al 2019a;Mondal, Pawar & Sujith 2019) to turbulent premixed combustors (Re ∼ 10 4 , f 1 ∼ 10 2 Hz; Bellows, Hreiz & Lieuwen 2008;Balusamy et al 2015). A recurring theme of these studies has been the application of periodic acoustic forcing to periodic thermoacoustic oscillations, accompanied by an examination of the nonlinear dynamics en route to and beyond the synchronization boundaries.…”

Section: Forced Synchronization Of Periodic Oscillationsmentioning

confidence: 99%

“…A recurring theme of these studies has been the application of periodic acoustic forcing to periodic thermoacoustic oscillations, accompanied by an examination of the nonlinear dynamics en route to and beyond the synchronization boundaries. For example, on applying periodic acoustic forcing at an off-resonance frequency to a periodically oscillating laminar premixed flame in a tube, Guan et al (2019a) found: (i) a transition from unforced periodicity to T 2 quasiperiodicity via a Neimark-Sacker bifurcation; (ii) a subsequent transition from T 2 quasiperiodicity to 1 : 1 synchronization at a critical forcing amplitude; (iii) a ∨-shaped Arnold tongue centred on the natural frequency; (iv) two different routes to synchronization, one via a saddle-node bifurcation and one via an inverse Neimark-Sacker bifurcation; and (v) that all of these dynamics could be qualitatively reproduced with a low-order universal oscillator containing a VDP kernel. Balusamy et al (2015) applied similar off-resonance forcing to a swirl-stabilized turbulent premixed combustor and found additional synchronization dynamics, such as frequency pushing and pulling as well as phase locking, slipping, drifting and trapping -the latter a partially synchronous feature defined by frequency locking without phase locking (Li & Juniper 2013c).…”

Section: Forced Synchronization Of Periodic Oscillationsmentioning

confidence: 99%

Forced synchronization of quasiperiodic oscillations in a thermoacoustic system

et al. 2019

Self Cite

View full text Add to dashboard Cite

In self-excited combustion systems, the application of open-loop forcing is known to be an effective strategy for controlling periodic thermoacoustic oscillations, but it is not known whether and under what conditions such a strategy would work on thermoacoustic oscillations that are not simply periodic. In this study, we experimentally examine the effect of periodic acoustic forcing on a prototypical thermoacoustic system consisting of a ducted laminar premixed flame oscillating quasiperiodically on an ergodic $\mathbb{T}^{2}$ torus at two incommensurate natural frequencies, $f_{1}$ and $f_{2}$. Compared with that of a classical period-1 system, complete synchronization of this $\mathbb{T}_{1,2}^{2}$ system is found to occur via a more intricate route involving three sequential steps: as the forcing amplitude, $\unicode[STIX]{x1D716}_{f}$, increases at a fixed forcing frequency, $f_{f}$, the system transitions first (i) to ergodic $\mathbb{T}_{1,2,f}^{3}$ quasiperiodicity; then (ii) to resonant $\mathbb{T}_{1,f}^{2}$ quasiperiodicity as the weaker of the two natural modes, $f_{2}$, synchronizes first, leading to partial synchronization; and finally (iii) to a $P1_{f}$ limit cycle as the remaining natural mode, $f_{1}$, also synchronizes, leading to complete synchronization. The minimum $\unicode[STIX]{x1D716}_{f}$ required for partial and complete synchronization decreases as $f_{f}$ approaches either $f_{1}$ or $f_{2}$, resulting in two primary Arnold tongues. However, when forced at an amplitude above that required for complete synchronization, the system can transition out of $P1_{f}$ and into $\mathbb{T}_{1,2,f}^{3}$ or $\mathbb{T}_{2,f}^{2}$. The optimal control strategy is to apply off-resonance forcing at a frequency around the weaker natural mode ($f_{2}$) and at an amplitude just sufficient to cause $P1_{f}$, because this produces the largest reduction in thermoacoustic amplitude via asynchronous quenching. Analysis of the Rayleigh index shows that this reduction is physically caused by a disruption of the positive coupling between the unsteady heat release rate of the flame and the $f_{1}$ and $f_{2}$ acoustic modes. If the forcing is applied near the stronger natural mode ($f_{1}$), however, resonant amplification can occur. We then phenomenologically model this $\mathbb{T}_{1,2}^{2}$ thermoacoustic system as two reactively coupled van der Pol oscillators subjected to external sinusoidal forcing, and find that many of its synchronization features – such as the three-step route to $P1_{f}$, the double Arnold tongues, asynchronous quenching and resonant amplification – can be qualitatively reproduced. This shows that these features are not limited to our particular system, but are universal features of forced self-excited oscillators. This study extends the applicability of open-loop control from classical period-1 systems with just a single time scale to ergodic $\mathbb{T}^{2}$ quasiperiodic systems with two incommensurate time scales.

show abstract

Early Warning and Mitigation Strategies for Thermoacoustic Instability

Sujith

Pawar

2021

Springer Series in Synergetics

View full text Add to dashboard Cite

Open-loop control of periodic thermoacoustic oscillations: Experiments and low-order modelling in a synchronization framework

Cited by 53 publications

References 25 publications

Forced synchronization and asynchronous quenching of periodic oscillations in a thermoacoustic system

Forced synchronization and asynchronous quenching of periodic oscillations in a thermoacoustic system

Forced synchronization of quasiperiodic oscillations in a thermoacoustic system

Early Warning and Mitigation Strategies for Thermoacoustic Instability

Contact Info

Product

Resources

About