Attractor Comparison of Vibration Signal by S-statistic Method to Characterize Hydrodynamics of Fluidized Bed

Monitoring of fluidized bed hydrodynamics is an essential issue. In this work, a new method, based on comparison of attractors of reference and evaluation time series, was applied to investigate the fluidized bed hydrodynamics by analyzing the bed vibration signatures. The experiments were carried out gas-solid fluidized of 15 cm inner diameter and 2 m height for three particle sizes, different velocities, and three probe heights. The measured signals of different sand and aspect ratio were compared based on the null hypothesis. The attractor of a system has been reconstructed by applying time delay embedding theory on measured values. The results indicate that the S-statistics method can detect small Changes in gas velocities, the particle size and aspect ratio of the sand. The importance of this method is its ability on the detecting of changes in the hydrodynamic of fluidized bed and provide of changes for controlling these variations.