Abstract
Thermoacoustic instability has been an important challenge in the development of highperformance combustion systems, as it can have catastrophic consequences. The process of a sudden change in the dynamical behaviour of a thermoacoustic system from a low to a high amplitude thermoacoustic instability, actually entails as a tipping point phenomenon. It has been found that when rate-dependent parameters are considered, a tipping-delay phenomenon may arise, which helps in the control of undesirable states that give rise to thermoacoustic instabilities. This work aims at understanding rate-dependent tipping dynamics of the thermoacoustic system with both time-varying parameters and a non-Gaussian L´evy noise. The latter better describes the severe operating environment of such systems than simpler types of noise. Through numerical simulations, the tipping dynamical behaviour is analysed by considering the rate-dependent parameters coupled with the main parameters
of the L´evy noise, including the stability and skewness indices, and the noise intensity. In addition, we investigate the effectiveness of early warning indicators in rate-dependent systems under L´evy noise excitation, and uncover a relationship between warning measures and the rate of change in the parameters. These results inform and enlighten the development and design of power combustion devices, and also provide researchers and engineers with
effective ideas to control thermoacoustic instability and the associated tipping dynamics.
of the L´evy noise, including the stability and skewness indices, and the noise intensity. In addition, we investigate the effectiveness of early warning indicators in rate-dependent systems under L´evy noise excitation, and uncover a relationship between warning measures and the rate of change in the parameters. These results inform and enlighten the development and design of power combustion devices, and also provide researchers and engineers with
effective ideas to control thermoacoustic instability and the associated tipping dynamics.
Original language | English |
---|---|
Article number | 113115 |
Number of pages | 15 |
Journal | Chaos |
Volume | 31 |
Issue number | 11 |
Early online date | 9 Nov 2021 |
DOIs | |
Publication status | Published - Nov 2021 |
Bibliographical note
AcknowledgmentsThis work was partly supported by the NSF of China (12072264), the Key International (Regional) Cooperative Research Projects of the NSF of China (12120101002), the Research Funds for Interdisciplinary Subject of NPU, the Shaanxi Provincial Key R&D Program (Grants 2020KW-013, 2019TD-010)
Keywords
- Thermoacoustic instability
- L´evy noise
- Rate-dependent tipping
- early warning