Abstract

A dynamic fundamental model was developed linking processes from the microscopic scale to the equipment scale for batch froth flotation. State estimation, fault detection, and disturbance identification were implemented using the extended Kalman filter (EKF), which reconciles real-time measurements with dynamic models. The online measurements for the EKF were obtained through image analysis of froth images that were captured and analyzed using the commercial package VisioFroth (Metsor Minerals). The extracted image features were then correlated to recovery using principal component analysis and partial least squares regression. The performance of real-time state estimation and fault detection was validated using batch flotation of pure galena at various operating conditions. The image features that were strongly representative of recovery were identified, and calibration and validation were performed against off-line measurements of recovery. The EKF successfully captured the dynamics of the process by updating the model states and parameters using the online measurements. Finally, disturbances in the air flow rate and impeller speed were introduced into the system, and the dynamic behavior of the flotation process was successfully tracked and the disturbances were identified using state estimation.

Highlights

  • Froth flotation is the most common method in the minerals industry for the selective recovery of value mineral(s) from finely ground ores

  • Control strategies applied to flotation systems typically target bias, froth depth, and gas hold up using feedback control by manipulating variables such as air and water flow rates, and reagent addition [2,3,4]

  • We develop a dynamic fundamental model for batch flotation incorporating information from dynamic images using principal component analysis (PCA) and partial least squares (PLS)

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Summary

Introduction

Froth flotation is the most common method in the minerals industry for the selective recovery of value mineral(s) from finely ground ores. We develop a dynamic fundamental model for batch flotation incorporating information for calibration of these variables against the grade/recovery [12]. From multiple scales, develop a method to obtain quantitative information about recovery in flotation regression, develop a soft sensor for real-time updating of the model using extended Kalman filtering from dynamic images using principal component analysis (PCA) and partial least squares (PLS). (EKF), and demonstrate the efficacy of the soft sensor in identifying and tracking unknown regression, develop a soft sensor for real-time updating of the model using extended Kalman filtering disturbances in batch flotation tests on galena conducted at different operating conditions. (EKF), and demonstrate the efficacy of the soft sensor in identifying and tracking unknown disturbances in batch flotation tests on galena conducted at different operating conditions

Experimental Section
VisioFroth
E Figure 3 for the case of three principal
Particle
Model Development
Attachment Phenomena in the Pulp Phase
Detachment Phenomena in the Pulp Phase
State Space
Offline Estimation
Online Estimation
Correlation of Image Features to Recovery
Offline Parameter
Values
Disturbance
Conclusions
Full Text
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