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Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-22587
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dc.contributor.authorGant, Francesco-
dc.contributor.authorGhirardo, Giulio-
dc.contributor.authorBothien, Mirko-
dc.date.accessioned2021-06-03T14:31:57Z-
dc.date.available2021-06-03T14:31:57Z-
dc.date.issued2021-
dc.identifier.issn0022-460Xde_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/22587-
dc.description.abstractIdentification of thermoacoustic systems usually requires low-order modeling, often obtained by means of a Galerkin projection onto a single acoustic mode. The resulting dissipative self-excited oscillator equation describes the dynamic balance between acoustic energy sources (i.e. the flame) and sinks. Previous works studied the case of a nonlinear flame response and a driving background noise or a nonlinear delayed flame response in a deterministic setting. In the present work, we extend previous efforts considering a generic nonlinear delayed flame response with noise. In the case where both the delay and the noise are considered, we show that the widely-used cubic nonlinear saturation function is inadequate because it can lead to diverging solutions, due to the unboundedness of the respective describing function. We present an analytical treatment for a generic saturation function, which is benchmarked against an arctangent saturation function which does not exhibit this shortcoming. From a linear stability analysis, the delayed equation is found to present intrinsic thermoacoustic (ITA) eigenvalues, showing that a one-mode approximation can still retain information on both the acoustic and the ITA dynamics if a delayed flame model is adopted. Additionally, the model is found to present rich nonlinear dynamics (e.g. bistability) and to reproduce mode switching between two close frequencies, which is a feature often observed experimentally in thermoacoustic systems. We show that the derivation of quantitatively accurate equations for the slowly varying ampli- tude and phase is not trivial. To this regard, three sets of equations are introduced and a detailed discussion is dedicated to investigate their capability to model the original system dynamics. It is concluded that, for thermoacoustic applications, one of the presented sets more accurately models the delayed interaction between the acoustics and the flame re- sponse and should therefore be considered for system identification purposes. Additionally, a statistical characterization of the oscillation shows the need for more advanced model- ing of amplitude and phase processes. We present novel equations based on perturbation methods and benchmark them with respect to classical results. The study explores a large nondimensional parameter space which encompasses a wide range of thermoacoustic systems.de_CH
dc.language.isoende_CH
dc.publisherElsevierde_CH
dc.relation.ispartofJournal of Sound and Vibrationde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectTime delayde_CH
dc.subjectThermoacousticsde_CH
dc.subjectNonlinear dynamical systemde_CH
dc.subjectStochasticde_CH
dc.subject.ddc530: Physikde_CH
dc.titleOn the importance of time delay and noise in thermoacoustic modelingde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.organisationalunitInstitut für Energiesysteme und Fluid-Engineering (IEFE)de_CH
dc.identifier.doi10.1016/j.jsv.2021.116067de_CH
dc.identifier.doi10.21256/zhaw-22587-
zhaw.funding.euNode_CH
zhaw.issue116067de_CH
zhaw.originated.zhawYesde_CH
zhaw.publication.statusacceptedVersionde_CH
zhaw.volume501de_CH
zhaw.embargo.end2023-06-10de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
zhaw.webfeedEnergiediskursede_CH
zhaw.webfeedErneuerbare Energiende_CH
zhaw.webfeedRenewable Fuelsde_CH
zhaw.author.additionalNode_CH
zhaw.display.portraitYesde_CH
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Gant, F., Ghirardo, G., & Bothien, M. (2021). On the importance of time delay and noise in thermoacoustic modeling. Journal of Sound and Vibration, 501(116067). https://doi.org/10.1016/j.jsv.2021.116067
Gant, F., Ghirardo, G. and Bothien, M. (2021) ‘On the importance of time delay and noise in thermoacoustic modeling’, Journal of Sound and Vibration, 501(116067). Available at: https://doi.org/10.1016/j.jsv.2021.116067.
F. Gant, G. Ghirardo, and M. Bothien, “On the importance of time delay and noise in thermoacoustic modeling,” Journal of Sound and Vibration, vol. 501, no. 116067, 2021, doi: 10.1016/j.jsv.2021.116067.
GANT, Francesco, Giulio GHIRARDO und Mirko BOTHIEN, 2021. On the importance of time delay and noise in thermoacoustic modeling. Journal of Sound and Vibration. 2021. Bd. 501, Nr. 116067. DOI 10.1016/j.jsv.2021.116067
Gant, Francesco, Giulio Ghirardo, and Mirko Bothien. 2021. “On the Importance of Time Delay and Noise in Thermoacoustic Modeling.” Journal of Sound and Vibration 501 (116067). https://doi.org/10.1016/j.jsv.2021.116067.
Gant, Francesco, et al. “On the Importance of Time Delay and Noise in Thermoacoustic Modeling.” Journal of Sound and Vibration, vol. 501, no. 116067, 2021, https://doi.org/10.1016/j.jsv.2021.116067.


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