Passive Control of Combustion Dynamics in Stationary Gas Turbines

Richards, George; Straub, Douglas; Robey, Edward H.

doi:10.2514/2.6195

Cited by 197 publications

(86 citation statements)

References 2 publications

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“…These fluctuations modify the heat release rate of the flame by producing variations in the flame surface area, vortex shedding from the flame-holder, variations in the flame attachment point, etc [4,36,40,44,64,84]. In this chapter attention is confined to the first of these mechanisms in the simplest possible manner, sufficient to illustrate its principal influence on the characteristic equation 7.3.…”

Section: The Effect Of Unsteady Heat Releasementioning

confidence: 99%

“…Although interest in this type of source has recently revived [22][23][24][25][26][27][28][29][30], understanding factors governing feedback on the direct monopole flame source (i.e. aerodynamics of the oscillating mean flow, structural vibrations, flame flashback, flame-vortex interactions, burn rate fluctuations produced by flame-area oscillation, saturation of nonlinear heat release rates, etc) are probably more important for the control of the system instabilities [31][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

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On the thermo-acoustic Fant equation

Murray

Howe

2012

Journal of Sound and Vibration

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Section: The Effect Of Unsteady Heat Releasementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the thermo-acoustic Fant equation

Murray

Howe

2012

Journal of Sound and Vibration

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“…Passive control methods [12][13][14][15][16][17][18] can employ acoustic dampers, such as Helmholtz resonators [13] or acoustic liners [12], or they can be achieved by physically redesigning the system by changing the location of the heat source, for example. Passive approaches offer the virtues of simplicity and inexpensive maintenance; however, the performance of passive control methods can only be ensured over a relatively narrow range of operating conditions [4].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Nonlinear Regulation Control of Thermoacoustic Oscillations in Rijke-Type Systems

MacKunis¹,

Reyhanoglu²,

BhavithavyaKidambi³

2018

Adaptive Robust Control Systems

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Adaptive nonlinear control of self-excited oscillations in Rijke-type thermoacoustic systems is considered. To demonstrate the methodology, a well-accepted thermoacoustic dynamic model is introduced, which includes arrays of sensors and monopole-like actuators. To facilitate the derivation of the adaptive control law, the dynamic model is recast as a set of nonlinear ordinary differential equations, which are amenable to control design. The control-oriented nonlinear model includes unknown, unmeasurable, nonvanishing disturbances in addition to parametric uncertainty in both the thermoacoustic dynamic model and the actuator dynamic model. To compensate for the unmodeled disturbances in the dynamic model, a robust nonlinear feedback term is included in the control law. One of the primary challenges in the control design is the presence of input-multiplicative parametric uncertainty in the dynamic model for the control actuator. This challenge is mitigated through innovative algebraic manipulation in the regulation error system derivation along with a Lyapunov-based adaptive control law. To address practical implementation considerations, where sensor measurements of the complete state are not available for feedback, a detailed analysis is provided to demonstrate that system observability can be ensured through judicious placement of pressure (and/or velocity) sensors. Based on this observability condition, a sliding-mode observer design is presented, which is shown to estimate the unmeasurable states using only the available sensor measurements. A detailed Lyapunov-based stability analysis is provided to prove that the proposed closed-loop active thermoacoustic control system achieves asymptotic (zero steady-state error) regulation of multiple thermoacoustic modes in the presence of the aforementioned model uncertainty. Numerical Monte Carlo-type simulation results are also provided, which demonstrate the performance of the proposed closed-loop control system under various sets of operating conditions.

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“…There are two approaches. One is active control [16][17][18][19][20][21][22][23][24], and the other is passive control approach [25][26][27][28]. Passive control techniques [29][30][31][32][33] involve using acoustic dampers or modifying the combustor geometry or fuel injection system.…”

Section: Introductionmentioning

confidence: 99%

Feedback Control of Rijke-Type Thermoacoustic Oscillations Transient Growth

Zhang

Guan

2015

Journal of Low Frequency Noise, Vibration and Active Control

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Non-normality can lead to acoustic disturbances transient growth in linearly stable thermoacoustic systems. This can cause small-amplitude disturbances to grow into limit cycle oscillations and the systems become nonlinearly unstable. Such self-excited limit cycle oscillations are detrimental to the land-based gas turbine and aero-engines. In this work, we demonstrate the conventional controllers such as linear quadratic regulator (LQR) fail in eliminating the transient energy growth, which has great potential to trigger thermoacoustic instability. To minimize the acoustic disturbances transient growth, a transient growth controller (TGC) is designed by considering the non-normality effect. The performance of the conventional controllers and TGC is performed and compared in a horizontal thermoacoustic system with Dirichlet boundary conditions and monopole-like actuators implemented. An acoustically compact heat source is confined and modelled as time-lag formulation. The TGC controller is shown to be able to not only stabilize the thermoacoustic system but also minimize the transient energy growth.

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Passive Control of Combustion Dynamics in Stationary Gas Turbines

Cited by 197 publications

References 2 publications

On the thermo-acoustic Fant equation

On the thermo-acoustic Fant equation

Adaptive Nonlinear Regulation Control of Thermoacoustic Oscillations in Rijke-Type Systems

Feedback Control of Rijke-Type Thermoacoustic Oscillations Transient Growth

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