Nonlinear time-series analysis of thermoacoustic oscillations in a solid rocket motor

Guan, Yu; Liu, Peijin; Jin, Bingning; Gupta, Vikrant; Li, Larry K.B.

doi:10.1016/j.expthermflusci.2018.06.002

Cited by 48 publications

(8 citation statements)

References 62 publications

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“…If ν > 0 , meaning that the driving contribution of the acoustic-flame interaction overcomes the dissipation of acoustic energy and the system stay as unstable. However, if ν < 0 , system is stable status [24][25][26][27] Phase portraits and recurrence plot Phase portraits are tools to analyze the nonlinear dynamics of a given signal by expressing all states of the physical system in phase space and the recurrence plot is a parameter that visualizes the recurrence of phase space trajectories 28,29 Complex network analysis…”

Section: Parameter or Methods Description Referencesmentioning

confidence: 99%

“…Phase portraits and recurrence plots 28,29 are potential analysis tools in nonlinear dynamics, which are applicable to the phenomenon of CI. By expressing all the states of the measured DP data on the phase space, the behavior of the nonlinear combustion phenomenon can be visualized, and the states (e.g., quasi-periodic, chaos, and Hopf bifurcation) can be analyzed.…”

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confidence: 99%

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A novel diagnostic method based on filter bank theory for fast and accurate detection of thermoacoustic instability

Joo

Choi

Kim

et al. 2021

Sci Rep

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This study proposes and analyzes a novel methodology that can effectively detect multi-mode combustion instability (CI) in a gas turbine combustor. The experiment is conducted in a model gas turbine combustor, and dynamic pressure (DP) and flame images are examined during the transition from stable to unstable flame, which is driven by changing fuel compositions. As a powerful technique for early detection of CI in multi-mode as well as in single mode, a new filter bank (FB) method based on spectral analysis of DP is proposed. Sequential processing using a triangular filter with Mel-scaling and a Hamming window is applied to increase the accuracy of the FB method, and the instability criterion is determined by calculating the magnitude of FB components. The performance of the FB method is compared with that of two conventional methods that are based on the root-mean-squared DP and temporal kurtosis. From the results, the FB method shows comparable performance in detection speed, sensitivity, and accuracy with other parameters. In addition, the FB components enable the analysis of various frequencies and multi-mode frequencies. Therefore, the FB method can be considered as an additional prognosis tool to determine the multi-mode CI in a monitoring system for gas turbine combustors.

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Section: Parameter or Methods Description Referencesmentioning

confidence: 99%

mentioning

confidence: 99%

A novel diagnostic method based on filter bank theory for fast and accurate detection of thermoacoustic instability

Joo

Choi

Kim

et al. 2021

Sci Rep

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“…In each subfigure, the time series are shown in the top half while the spectrum (left), phase space reconstruction (middle), and probability distribution (right). The phase space is reconstructed following the method proposed in [36,37]. Firstly, an embedding dimension order of 3 is set for this study, trying to avoid the trajectories collapsing to show them clearly.…”

Section: Characteristics Of Combustion Oscillationsmentioning

confidence: 99%

“…In each subfigure, the time series are shown in the top half while the spectrum (left), phase space reconstruction (middle), and probability distribution (right). The phase space is reconstructed following the method proposed in[36,37]. Firstly, an embedding Pressure fluctuation of P4 sensor for conditions of (a) T a = 556 K and (b) T a = 573 K (marked as A and B inFig.…”

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confidence: 99%

Inlet temperature driven supercritical bifurcation of combustion instabilities in a lean premixed prevaporized combustor

Han

Laera

Morgans

et al. 2019

Experimental Thermal and Fluid Science

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The present article reports experimental observation and analyses of a supercritical bifurcation of combustion instabilities triggered by the air inlet temperature (T a). The studies are performed with a pressurised kerosene fuelled Lean Premixed Prevaporized (LPP) combustor operated under elevated temperature. Unlike some previous studies, starting from an unstable condition of the system, the amplitude of combustion instabilities suddenly decrease when T a exceeds a critical value of T a =570 K. When the temperature is lowered back the system returns to being unstable without featuring any hysteresis behaviour, as expected in case of a supercritical bifurcation. The unstable flames feature a periodic axial motion of lift-off and re-ignition, characterized as Helmholtz mode. The phase difference between chemiluminescence and pressure signals is found to increase with T a , exceeding 90 degrees (out of phase) for temperatures higher than 570 K. A low order network framework is conducted, illustrating that when T a is increased a stability shift of this mode is predicted at T a near 570 K, in good agreement with the experimental observations. The impact of T a on the spray characteristics is also examined, finding that higher T a promotes fuel evaporation

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“…Finally, we examine the limit-cycle features of the numerical model using the timedelay embedding technique of Takens (1981). This technique, which has seen widespread use in thermoacoustics (Balusamy et al 2015;Lee et al 2016;Guan et al 2018b;Kashinath et al 2018), enables an attractor to be reconstructed in phase space using just a single scalar time series shifted by an appropriate time delay (τ ). A typical choice of τ is the first minimum of the average mutual information function (Fraser and Swinney 1986).…”

Section: Resultsmentioning

confidence: 99%

System identification near a hopf bifurcation via the noise-induced dynamics in the fixed-point regime

Lee¹

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First and foremost, I would like to express my deepest appreciation to my supervisor, Prof. Larry K.B. Li, for his invaluable guidance and support. I have been very fortunate to have an advisor who patiently taught me how to develop ideas and formulate arguments in a scientific manner. His encouragement has been the greatest contributor to the completion of this thesis.I would also like to extend my sincere gratitude to Prof. Vikrant Gupta at SUSTech for his constructive advice throughout my study. His insightful comments steered me in the right direction. I am also grateful to Prof. Kyutae Kim and his team at KAIST for their kind help and cooperation at the final stage of my research.I have great pleasure in acknowledging Mr. Yuanhang Zhu at Brown University and Dr. Yu Guan at HKUST who carried out all the experiments in Chapters 2 and 3, respectively. This thesis would not have been possible without their help.Most importantly, I am thankful to my family for their incredible support and understanding. I am grateful to my two sets of parents, who have given me wise counsel. I thank my daughter, Yerin, for her ability to make me smile. Above all, I heartily thank my wife Aram for her encouragement and inspiration throughout my study.Last but not least, I would like to thank the Research Grants Council of Hong Kong and LG CNS for their financial and academic support. v

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Nonlinear time-series analysis of thermoacoustic oscillations in a solid rocket motor

Cited by 48 publications

References 62 publications

A novel diagnostic method based on filter bank theory for fast and accurate detection of thermoacoustic instability

A novel diagnostic method based on filter bank theory for fast and accurate detection of thermoacoustic instability

Inlet temperature driven supercritical bifurcation of combustion instabilities in a lean premixed prevaporized combustor

System identification near a hopf bifurcation via the noise-induced dynamics in the fixed-point regime

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