Detection and control of combustion instability based on the concept of dynamical system theory

Hiroshi Gotoda, Yuta Shinoda, Masaki Kobayashi, Yuta Okuno, and Shigeru Tachibana

Phys. Rev. E 89, 022910 – Published 11 February 2014

Abstract

We propose an online method of detecting combustion instability based on the concept of dynamical system theory, including the characterization of the dynamic behavior of combustion instability. As an important case study relevant to combustion instability encountered in fundamental and practical combustion systems, we deal with the combustion dynamics close to lean blowout (LBO) in a premixed gas-turbine model combustor. The relatively regular pressure fluctuations generated by thermoacoustic oscillations transit to low-dimensional intermittent chaos owing to the intermittent appearance of burst with decreasing equivalence ratio. The translation error, which is characterized by quantifying the degree of parallelism of trajectories in the phase space, can be used as a control variable to prevent LBO.

Received 25 July 2013
Corrected 5 March 2014

DOI:https://doi.org/10.1103/PhysRevE.89.022910

Corrections

5 March 2014

Erratum

Publisher's Note: Detection and control of combustion instability based on the concept of dynamical system theory [Phys. Rev. E 89, 022910 (2014)]

Hiroshi Gotoda, Yuta Shinoda, Masaki Kobayashi, Yuta Okuno, and Shigeru Tachibana

Phys. Rev. E 89, 039901 (2014)

Authors & Affiliations

Hiroshi Gotoda^*, Yuta Shinoda, Masaki Kobayashi, and Yuta Okuno

Department of Mechanical Engineering, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu-shi, Shiga 525-8577, Japan

Shigeru Tachibana^†

Propulsion Systems Research Group, Institute of Aeronautical Technology, Japan Aerospace Exploration Agency, 7-44-1 Jindaiji-Higashii, Chofu, Tokyo 182-8522, Japan

^*gotoda@se.ritsumei.ac.jp
^†tachibana.shigeru@jaxa.jp

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Issue

Vol. 89, Iss. 2 — February 2014

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics