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Parameter estimatio...
Parameter estimation of two coupled oscillator model for pure intrinsic thermo-acoustic instability
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- Wildemans, Roeland (author)
- Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands
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- Kornilov, Viktor (author)
- Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands
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- Lopez Arteaga, Ines (author)
- KTH,Marcus Wallenberg Laboratoriet MWL,Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands
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(creator_code:org_t)
- Springer Nature, 2023
- 2023
- English.
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In: Nonlinear dynamics. - : Springer Nature. - 0924-090X .- 1573-269X. ; 111:14, s. 12835-12853
- Related links:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
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- A nonlinear phenomenological model of two coupled oscillators is proposed, which is able to describe the rich nonlinear behaviour stemming from an unstable pure intrinsic thermo-acoustic (ITA) mode of a simple combustion system. In an experimental bifurcation analysis of a pure ITA mode, it was observed that for increasing mean upstream velocity the flames loose stability through a supercritical Hopf bifurcation and subsequently exhibit limit cycle, quasi-periodic and period-2 limit cycle oscillations. The quasi-periodic oscillations were characterised by low frequent amplitude and frequency modulation. It is shown that a phenomenological model consisting of two coupled oscillators is able to reproduce qualitatively all the different experimentally observed regimes. This model consists of a nonlinear Van der Pol oscillator and a linear damped oscillator, which are nonlinearly coupled to each other. Furthermore, a parameter estimation of the model parameters is conducted, which reveals a good quantitative match between the model response and the experimental data. Hence, the presented phenomenological dynamical model accurately describes the nonlinear self-excited acoustic behaviour of premixed flames and provides a promising model structure for nonlinear time-domain flame models.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Teknisk mekanik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Applied Mechanics (hsv//eng)
Keyword
- Coupled nonlinear oscillators
- Flame dynamics
- Intrinsic thermo-acoustics instability
- Parameter estimation
Publication and Content Type
- ref (subject category)
- art (subject category)
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