title: Detection and control of combustion instability based on the concept of dynamical system theory.
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.
authors.affiliation: Department of Mechanical Engineering, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu-shi, Shiga 525-8577, Japan.
authors.forename: Hiroshi
authors.initials: H
authors.lastname: Gotoda
authors.affiliation: Department of Mechanical Engineering, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu-shi, Shiga 525-8577, Japan.
authors.forename: Yuta
authors.initials: Y
authors.lastname: Shinoda
authors.affiliation: Department of Mechanical Engineering, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu-shi, Shiga 525-8577, Japan.
authors.forename: Masaki
authors.initials: M
authors.lastname: Kobayashi
authors.affiliation: Department of Mechanical Engineering, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu-shi, Shiga 525-8577, Japan.
authors.forename: Yuta
authors.initials: Y
authors.lastname: Okuno
authors.affiliation: Propulsion Systems Research Group, Institute of Aeronautical Technology, Japan Aerospace Exploration Agency, 7-44-1 Jindaiji-Higashii, Chofu, Tokyo 182-8522, Japan.
authors.forename: Shigeru
authors.initials: S
authors.lastname: Tachibana