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Transient growth of acoustical energy associated with mitigating thermoacoustic oscillations

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  • Li, Xinyan
  • Zhao, Dan
  • Yang, Xinglin
  • Wen, Huabing
  • Jin, Xiao
  • Li, Shen
  • Zhao, He
  • Xie, Changqing
  • Liu, Haili

Abstract

Energy conversion from heat to sound is desirable in some practical applications such as thermoacoustic heat engines or cooling systems. However, it is unwanted in gas turbine or aeroengine combustors. In this work, a Rijke-type thermoacoustic model with a linearly varied mean temperature configuration is developed. An acoustically compact heat source is confined and characterized by a modified form of King’s law. Unlike previous models available in the literature, the mean temperature is assumed to undergo not only a sudden jump across the heat source but also linearly increasing and decreasing in the pre- and after-heating regions respectively. Such mean temperature configuration is consistent with the experimental measurement. Coupling the heat source model with a Galerkin series expansion of the acoustic fluctuations provides a platform to gain insight on (1) the nonlinearity of the thermoacoustic system, (2) onset of limit cycle oscillations, (3) predicting its non-normality behaviors, (4) energy distribution and transfer between neighboring eigenmodes, and (5) evaluating the performance of feedback controllers. Pseudospectra and transient energy growth analyses are then performed. It reveals that the system is non-normal. And it is associated with transient growth of acoustical energy. The non-normality is found to be less intensified in comparison with that in a system with an invariant mean temperature from pre- and after-heating regions. To mitigate these limit cycle oscillations, the heat-to-sound coupling is interrupted by implementing multiple monopole-like actuators driven by a LQG (Linear Quadratic Gaussian) controller. For comparison, a pole-placement controller is also implemented. Approximately 76dB sound pressure level reduction is achieved. However, implementing the LQG controller is shown to be associated with transient growth of acoustical energy, which has potential to trigger thermoacoustic instability. The present work opens up new applicable way to model thermoacoustic systems in the presence of a mean temperature gradient. Furthermore, it reveals new potential risk of applying active controllers to stabilize thermoacoustic systems.

Suggested Citation

  • Li, Xinyan & Zhao, Dan & Yang, Xinglin & Wen, Huabing & Jin, Xiao & Li, Shen & Zhao, He & Xie, Changqing & Liu, Haili, 2016. "Transient growth of acoustical energy associated with mitigating thermoacoustic oscillations," Applied Energy, Elsevier, vol. 169(C), pages 481-490.
    • Handle: RePEc:eee:appene:v:169:y:2016:i:c:p:481-490
    DOI: 10.1016/j.apenergy.2016.01.060
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    References listed on IDEAS

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    1. Yu, Zhibin & Jaworski, Artur J. & Backhaus, Scott, 2012. "Travelling-wave thermoacoustic electricity generator using an ultra-compliant alternator for utilization of low-grade thermal energy," Applied Energy, Elsevier, vol. 99(C), pages 135-145.
    2. Zhao, Dan & Li, Lei, 2015. "Effect of choked outlet on transient energy growth analysis of a thermoacoustic system," Applied Energy, Elsevier, vol. 160(C), pages 502-510.
    3. Fichera, A. & Pagano, A., 2009. "Monitoring combustion unstable dynamics by means of control charts," Applied Energy, Elsevier, vol. 86(9), pages 1574-1581, September.
    4. Bisio, G & Rubatto, G, 1999. "Sondhauss and Rijke oscillations—thermodynamic analysis, possible applications and analogies," Energy, Elsevier, vol. 24(2), pages 117-131.
    5. Yu, Guoyao & Wang, Xiaotao & Dai, Wei & Luo, Ercang, 2013. "Study on energy conversion characteristics of a high frequency standing-wave thermoacoustic heat engine," Applied Energy, Elsevier, vol. 111(C), pages 1147-1151.
    6. Cammarata, L. & Fichera, A. & Pagano, A., 2002. "Neural prediction of combustion instability," Applied Energy, Elsevier, vol. 72(2), pages 513-528, June.
    7. Fichera, A. & Losenno, C. & Pagano, A., 2001. "Experimental analysis of thermo-acoustic combustion instability," Applied Energy, Elsevier, vol. 70(2), pages 179-191, October.
    8. Singh, A.V. & Yu, M. & Gupta, A.K. & Bryden, K.M., 2013. "Thermo-acoustic behavior of a swirl stabilized diffusion flame with heterogeneous sensors," Applied Energy, Elsevier, vol. 106(C), pages 1-16.
    9. Wu, Zhanghua & Chen, Yanyan & Dai, Wei & Luo, Ercang & Li, Donghui, 2015. "Investigation on the thermoacoustic conversion characteristic of regenerator," Applied Energy, Elsevier, vol. 152(C), pages 156-161.
    10. Zhang, Zhiguo & Zhao, Dan & Dobriyal, R. & Zheng, Youqu & Yang, Wenming, 2015. "Theoretical and experimental investigation of thermoacoustics transfer function," Applied Energy, Elsevier, vol. 154(C), pages 131-142.
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    Cited by:

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    2. Zhao, He & Li, Guoneng & Zhao, Dan & Zhang, Zhiguo & Sun, Dakun & Yang, Wenming & Li, Shen & Lu, Zhengli & Zheng, Youqu, 2017. "Experimental study of equivalence ratio and fuel flow rate effects on nonlinear thermoacoustic instability in a swirl combustor," Applied Energy, Elsevier, vol. 208(C), pages 123-131.
    3. Zhao, Dan & Li, Shen & Zhao, He, 2016. "Entropy-involved energy measure study of intrinsic thermoacoustic oscillations," Applied Energy, Elsevier, vol. 177(C), pages 570-578.
    4. Zhang, Zhiqing & Hu, Jingyi & Tan, Dongli & Li, Junming & Jiang, Feng & Yao, Xiaoxue & Yang, Dixin & Ye, Yanshuai & Zhao, Ziheng & Yang, Guanhua, 2023. "Multi-objective optimization of the three-way catalytic converter on the combustion and emission characteristics for a gasoline engine," Energy, Elsevier, vol. 277(C).
    5. Han, Nuomin & Zhao, Dan & Schluter, Jorg U. & Goh, Ernest Seach & Zhao, He & Jin, Xiao, 2016. "Performance evaluation of 3D printed miniature electromagnetic energy harvesters driven by air flow," Applied Energy, Elsevier, vol. 178(C), pages 672-680.
    6. Wu, Gang & Xu, Xiao & Li, S. & Ji, C., 2019. "Experimental studies of mitigating premixed flame-excited thermoacoustic oscillations in T-shaped Combustor using an electrical heater," Energy, Elsevier, vol. 174(C), pages 1276-1282.
    7. Li, Shen & Li, Qiangtian & Tang, Lin & Yang, Bin & Fu, Jianqin & Clarke, C.A. & Jin, Xiao & Ji, C.Z. & Zhao, He, 2016. "Theoretical and experimental demonstration of minimizing self-excited thermoacoustic oscillations by applying anti-sound technique," Applied Energy, Elsevier, vol. 181(C), pages 399-407.
    8. Wu, Gang & Lu, Zhengli & Pan, Weichen & Guan, Yiheng & Li, Shihuai & Ji, C.Z., 2019. "Experimental demonstration of mitigating self-excited combustion oscillations using an electrical heater," Applied Energy, Elsevier, vol. 239(C), pages 331-342.
    9. Wu, Gang & Jin, Xiao & Li, Qiangtian & Zhao, He & Ahmed, I.R. & Fu, Jianqin, 2016. "Experimental and numerical definition of the extreme heater locations in a closed-open standing wave thermoacoustic system," Applied Energy, Elsevier, vol. 182(C), pages 320-330.

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