The application of the optimal filtering in the energy engineering field has emerged as an effici... more The application of the optimal filtering in the energy engineering field has emerged as an efficient method to solve inverse problems. In the present paper, an approach of the extended Kalman filter (EKF) based on the augmented state concept is adopted for the reconstruction of a surface thermal disturbance, variable in time and space. The history of a laser heating flux of Gaussian space variation, applied to the boundary of a heat conducting cylinder, is successfully recovered using multiple measurement sensors. A parametric study is performed in order to provide a guide for a judicious adjustment of the identification parameters. These parameters include the position of the sensors, the measurement noise, the time step of measurements and the model error. The EKF augmented state approach allows to estimate the temperature field, simultaneously with the heat flux and to recover with a good accuracy other disturbance profiles with a periodic time variation.
Http Dx Doi Org 10 1080 10407790490430598, Aug 17, 2010
ABSTRACT An extended version of a smoothing technique applied to the Kalman filter estimates is d... more ABSTRACT An extended version of a smoothing technique applied to the Kalman filter estimates is developed in order to solve a nonlinear one-dimensional inverse heat conduction problem. This new algorithm introduces the use of future time measurements and so provides a best estimation of the surface conditions, involving heat flux density and temperature, in which time lag and sensitivity to measurement errors are reduced. An optimal number of future temperature measurements leads to a symmetrical response of the Kalman filter compared with the exact solutions. The effect of the number of future time data is also analyzed with respect to the modeling error, the location of the interior measurement needed for the inversion, and the inverse time step.
The application of the optimal filtering in the energy engineering field has emerged as an effici... more The application of the optimal filtering in the energy engineering field has emerged as an efficient method to solve inverse problems. In the present paper, an approach of the extended Kalman filter (EKF) based on the augmented state concept is adopted for the reconstruction of a surface thermal disturbance, variable in time and space. The history of a laser heating flux of Gaussian space variation, applied to the boundary of a heat conducting cylinder, is successfully recovered using multiple measurement sensors. A parametric study is performed in order to provide a guide for a judicious adjustment of the identification parameters. These parameters include the position of the sensors, the measurement noise, the time step of measurements and the model error. The EKF augmented state approach allows to estimate the temperature field, simultaneously with the heat flux and to recover with a good accuracy other disturbance profiles with a periodic time variation.
Http Dx Doi Org 10 1080 10407790490430598, Aug 17, 2010
ABSTRACT An extended version of a smoothing technique applied to the Kalman filter estimates is d... more ABSTRACT An extended version of a smoothing technique applied to the Kalman filter estimates is developed in order to solve a nonlinear one-dimensional inverse heat conduction problem. This new algorithm introduces the use of future time measurements and so provides a best estimation of the surface conditions, involving heat flux density and temperature, in which time lag and sensitivity to measurement errors are reduced. An optimal number of future temperature measurements leads to a symmetrical response of the Kalman filter compared with the exact solutions. The effect of the number of future time data is also analyzed with respect to the modeling error, the location of the interior measurement needed for the inversion, and the inverse time step.
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Papers by Naouel Daouas