Analysis of a tractable model for combustion instability: the effect of delay and low pass filtering

Bouziani, Fethi; Landau, Ioan Doré; Bitmead, Robert R.; Voda-Besancon, A.

doi:10.1109/cdc.2006.377795

Cited by 6 publications

(8 citation statements)

References 17 publications

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“…Averaging methods were recently used for analysis of phase shifting control and sinusoidal disturbance rejection, though in different formulations, in [2], [4], [11]. The Rayleigh's criterion that is well known in analysis of thermoacoustic combustion instabilities can be obtained as a special case of the K-B averaged equation for energy.…”

Section: )mentioning

confidence: 99%

“…Several earlier papers used such a model for the combustion instability, for instance, see [4]. Consider the following model…”

Section: A Oscillations Modelmentioning

confidence: 99%

“…This paper adopts a simple Van der Pol model for themoacoustic oscillations discussed in [4]. In [2], [4] the relative phase is assumed fixed and amplitude dynamics does not include the feedback loop delay.…”

Section: Introductionmentioning

confidence: 99%

“…This paper shows that the limitations exist in a simple averaged dynamics model with just two states. Related work in [2], [4] used averaging methods for analysis of closed loop amplitude dynamics for ACCS. This paper adopts a simple Van der Pol model for themoacoustic oscillations discussed in [4].…”

Section: Introductionmentioning

confidence: 99%

“…Related work in [2], [4] used averaging methods for analysis of closed loop amplitude dynamics for ACCS. This paper adopts a simple Van der Pol model for themoacoustic oscillations discussed in [4]. In [2], [4] the relative phase is assumed fixed and amplitude dynamics does not include the feedback loop delay.…”

Section: Introductionmentioning

confidence: 99%

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Amplitude and phase control in active suppression of combustion instability

Gorinevsky

Overman²,

Goeke³

2012

2012 American Control Conference (ACC)

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Abstract-This paper provides stability analysis for phase shifting active combustion control system where modulation of the fuel flow is used to suppress thermo-acoustic instability. The analysis is based on Krylov-Bogolubov averaged model for the oscillations with the external periodic forcing. The amplitude dynamics and phase dynamics are described by nonlinear first order models. The control inputs are the amplitude and phase of forcing (fuel modulation). The analysis demonstrates that phase dynamics and amplitude dynamics are each unstable in the desired target regime. Practical stabilizing control approaches and their limitations in the presence of feedback delays are discussed and analyzed. The analysis in this paper is verified in detailed simulations and validated in experiments with a jet engine scale combustor rig.

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Section: )mentioning

confidence: 99%

“…Several earlier papers used such a model for the combustion instability, for instance, see [4]. Consider the following model…”

Section: A Oscillations Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Amplitude and phase control in active suppression of combustion instability

Gorinevsky

Overman²,

Goeke³

2012

2012 American Control Conference (ACC)

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A Nonlinear Model for Combustion Instability: Analysis and Quenching of the Oscillations

Landau¹,

Bouziani²,

Bitmead

Analysis and Design of Nonlinear Control Systems

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PreludeIt is a great pleasure for us to contribute to this book dedicated to Alberto Isidori on the occasion of his sixty fifth birthday. It is also, for the first author, the occasion to acknowledge a very long period of useful and pleasant exchange which started in 1973 (bilinear systems) and has continued through the years on various specific subjects.The important contributions of Albereto Isidori in the control of nonlinear systems have had a tremendous impact in the control community. Feedback linearization was one of the important subjects developed by Alberto. While the oscillatory nonlinear system considered in this contribution requires specific techniques for its analysis, still a feedback linearization is used for quenching the oscillations.

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On the dynamics of flame images identified through computer vision and modal methods

Chui

Neto

Trigo

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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Combustion processes in industrial furnaces pose challenging difficulties when one attempts to model flame. Chemical and physical phenomena interact and affect flame behavior in such a complex way that several different approaches have been under development to tackle the modeling problem. Flame instabilities could potentially harm safety operation of the furnace. Ultimate goal of flame control is to develop means to actuate over the flame state in order to avoid dangerous situations. A critical step towards this objective is to come up with a reliable model for the flame, so that control theory could be applied to automatically maintain flame state within safe standards. This work proposes a methodology to model the dynamics of flames through computer vision to acquire and process flame images in order to extract image features evolution in time. Then, a dynamic model is identified through random decrement algorithm and Ibrahim time domain method, which are operational modal analysis techniques, together with a random contribution. Flames from seven different combustion conditions were modeled by such methodology, and their estimated values were compared with experimental data for validation. Results show that estimated and experimental data possess a high degree of correlation, thus confirming the viability of the proposed dynamic model of flames.

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Analysis of a tractable model for combustion instability: the effect of delay and low pass filtering

Cited by 6 publications

References 17 publications

Amplitude and phase control in active suppression of combustion instability

Amplitude and phase control in active suppression of combustion instability

A Nonlinear Model for Combustion Instability: Analysis and Quenching of the Oscillations

On the dynamics of flame images identified through computer vision and modal methods

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