Abstract

Average particle size is a critical quality variable for optimal operation of the cobalt oxalate synthesis process. However, the measurement for this variable is often achieved from offline laboratory assaying procedure with low sampling rate and low reliability. Therefore, a data-driven soft sensor model based on adaptive Gaussian mixture regression (AGMR) is presented in this paper. Firstly, a GMR based soft sensor model is developed for predicting the average particle size. Secondly, the prediction uncertainty obtained from the GMR model is used to assess the performance of the current soft sensor model. Thirdly, a dual updating algorithm based on the model performance assessment is constructed to track the time-varying behavior of the synthesis process. In the updating method, bias updating and moving window model updating methods are performed in turns based on the results of model performance assessment. The dual updating mechanism can avoid blind updating. Finally, a numerical example and a real industrial cobalt oxalate synthesis process application are used to demonstrate the effectiveness of the proposed method.

Highlights

  • Reliable and accurate measurement of average particle size plays a crucial role for successful implementation of advanced control methods in cobalt oxalate synthesis process [1]

  • The cobalt oxalate powder average particle size is traditionally measured by scanning electron microcopy (SEM) or laser particle size analyzer in a laboratory for real industrial synthesis process

  • Motivated by the above analysis, a soft sensor model development method based on adaptive Gaussian mixture regression (GMR) is proposed for estimating the average particle size in cobalt oxalate synthesis process

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Summary

INTRODUCTION

Reliable and accurate measurement of average particle size plays a crucial role for successful implementation of advanced control methods in cobalt oxalate synthesis process [1]. S. Zhang et al.: Soft Sensor Model Development for Cobalt Oxalate Synthesis Process Based on AGMR (SVR) [15]. The efficiency of GMR based soft sensor is validated through a numerical example and two benchmark processes This is because that the GMR is an extension of GMM and it tries to construct the relationship between the output and input using probabilistic models. The adaptive GMR based soft sensor has not yet been developed, especially for cobalt oxalate synthesis process applications. Motivated by the above analysis, a soft sensor model development method based on adaptive GMR is proposed for estimating the average particle size in cobalt oxalate synthesis process.

PRELIMINARIES
GMR MODEL PERFORMANCE ASSESSMENT METHOD
ADDITION OF THE NEW SAMPLES
ELIMINATION OF THE OLD SAMPLES
DUAL UPDATING STRATEGY BASED ON MODEL PERFORMANCE ASSESSMENT METHOD
CASE STUDIES
APPLICATION TO A COBALT OXALATE SYNTHESIS PILOT PLANG
CONCLUSION
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