The Origin of Secondary Peaks with Active Control of Thermoacoustic Instability

Fleifil, M.; Hathout, J. P.; Annaswamy, Anuradha M.; Ghoniem, Ahmed F.

doi:10.1080/00102209808952036

Cited by 55 publications

(25 citation statements)

References 15 publications

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“…Such approaches are unlikely to be adequate for practical combustion systems, where there may be multiple instability modes." These observations are also reported in other studies (Seume et al, 1998;Fleifil et al, 1998;Banaszuk et al, 2004). Furthermore, in order to assign a phase shift, the control designer should know the target frequency (or the frequency of a particular mode).…”

supporting

confidence: 64%

A New Perspective in Designing Delayed Feedback Control for Thermo-Acoustic Instabilities (TAI)

Olgaç

Zalluhoglu

Kammer

2015

Combustion Science and Technology

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This paper suggests the deployment of a unique mathematical tool for assessing the thermoacoustic instability (TAI) in a Rijke tube and to propose an analytical design strategy for its feedback control. A widely accepted characteristic of TAI is its time-delayed dynamics which originates from the regenerative acoustic coupling terms. Linear systems theory has also evolved on similar classes of problems especially in recent years. This document offers a bridge between the two veins of research. We first review the analytical model of the TAI phenomenon which renders a set of delayed differential equations. Then, we apply a new mathematical tool, called the Cluster Treatment of Characteristic Roots (CTCR) paradigm on this dynamics. CTCR provides non-conservative and exhaustive stability predictions for this class of systems. This capability is employed for both uncontrolled and feedback-controlled Rijke tube structures. The findings are unique from two angles: (i) stability declarations are made in the parametric space of the system such as geometric dimensions (much differently from the peer studies which are at best point-wise evaluations), and (ii) these declared sets of stable operating parameters are exhaustive (i.e., for a given system no other parametric selection can provide stability). These capabilities become crucial when designing combustors as well as determining their operating conditions. As a highlight contribution in this paper, for those operating conditions which induce instability, we offer a methodology to synthesize a feedback control law that can recover stability, again utilizing the CTCR paradigm. Example case studies and analytical justifications of these novelties are provided.

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supporting

confidence: 64%

A New Perspective in Designing Delayed Feedback Control for Thermo-Acoustic Instabilities (TAI)

Olgaç

Zalluhoglu

Kammer

2015

Combustion Science and Technology

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show abstract

“…Without detailed information on the system dynamics, however, such a controller needs to be carefully tuned to obtain an optimal phase for each operating condition. In addition, a secondary mode of instability may appear as the control gain is increased (e.g., Langhorne et al [341], Fleifil et al [342]). Thus, more robust control algorithms were desired for performance improvement.…”

Section: Active Control Algorithmsmentioning

confidence: 98%

Dynamics and stability of lean-premixed swirl-stabilized combustion

Huang

Yang

2009

Progress in Energy and Combustion Science

1,123

459

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“…where a ak denotes the ratio of the cross-sectional area S ak of the kth actuator to the cross-sectional area S of the tube [36], i.e.…”

Section: A Simple Thermoacoustic Model With Monopole-like Actuatorsmentioning

confidence: 99%

Transient growth of acoustical energy associated with mitigating thermoacoustic oscillations

Zhao

Yang

et al. 2016

Applied Energy

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The Origin of Secondary Peaks with Active Control of Thermoacoustic Instability

Cited by 55 publications

References 15 publications

A New Perspective in Designing Delayed Feedback Control for Thermo-Acoustic Instabilities (TAI)

A New Perspective in Designing Delayed Feedback Control for Thermo-Acoustic Instabilities (TAI)

Dynamics and stability of lean-premixed swirl-stabilized combustion

Transient growth of acoustical energy associated with mitigating thermoacoustic oscillations

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