| Titre : | Stochastic averaging for identification of feedback nonlinearities in thermoacoustic systems (2012) |
| Auteurs : | Gregory Hagen, Auteur |
| Type de document : | Article : texte imprimé |
| Dans : | Transactions of the ASME . Journal of dynamic systems, measurement, and control (Vol. 133 N° 6, Novembre 2011) |
| Article en page(s) : | 10 p. |
| Note générale : | Dynamic systems |
| Langues : | Anglais |
| Index. décimale : | 553 (Géologie économique. Minérographie. Minéraux. Formation et gisements de minerais) |
| Tags : | Gaussian processes Iterative methods Thermoacoustics Time series Vibrations |
| Résumé : | We present algorithms based on stochastic averaging for estimating nonlinear feedback parameters obtained from time series data with application to noise-driven nonlinear vibration systems, with particular emphasis on limit-cycling thermo-acoustic systems. The harmonic and Gaussian components of relevant signals are estimated from the probability density function (pdf) of an output signal from a single experiment. The respective feedback gains, along with a phase-shifting element are fit to a nominal (given) linear oscillator model from which the parameters of a nonlinearity are fit. When input-output data are available from multiple experiments, the feedback nonlinearity can be estimated point-wise via an iterative algorithm, applicable when the appropriate input signals have a constant (Gaussian) variance. The estimation procedures are demonstrated on a benchmark thermo-acoustic model and applied to time-series data obtained from a limit-cycling combustor rig experiment. In the latter case, relations between the feedback parameters and the fuel to air ratio are briefly discussed. |
| DEWEY : | 553 |
| ISSN : | 0022-0434 |
| En ligne : | http://asmedl.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA000133000006061017000001&idtype=cvips&gifs=Yes&ref=no |
