Constrained Parameter Estimation for a Mechanistic Kinetic Model of Cobalt–Hydrogen Electrochemical Competition during a Cobalt Removal Process

A mechanistic kinetic model of cobalt–hydrogen electrochemical competition for the cobalt removal process in zinc hydrometallurgical was proposed. In addition, to overcome the parameter estimation difficulties arising from the model nonlinearities and the lack of information on the possible value ra...

Full description

Bibliographic Details
Main Authors: Yiting Liang, Yuanhua Zhang, Yonggang Li
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/4/387
_version_ 1797540198844727296
author Yiting Liang
Yuanhua Zhang
Yonggang Li
author_facet Yiting Liang
Yuanhua Zhang
Yonggang Li
author_sort Yiting Liang
collection DOAJ
description A mechanistic kinetic model of cobalt–hydrogen electrochemical competition for the cobalt removal process in zinc hydrometallurgical was proposed. In addition, to overcome the parameter estimation difficulties arising from the model nonlinearities and the lack of information on the possible value ranges of parameters to be estimated, a constrained guided parameter estimation scheme was derived based on model equations and experimental data. The proposed model and the parameter estimation scheme have two advantages: (i) The model reflected for the first time the mechanism of the electrochemical competition between cobalt and hydrogen ions in the process of cobalt removal in zinc hydrometallurgy; (ii) The proposed constrained parameter estimation scheme did not depend on the information of the possible value ranges of parameters to be estimated; (iii) the constraint conditions provided in that scheme directly linked the experimental phenomenon metrics to the model parameters thereby providing deeper insights into the model parameters for model users. Numerical experiments showed that the proposed constrained parameter estimation algorithm significantly improved the estimation efficiency. Meanwhile, the proposed cobalt–hydrogen electrochemical competition model allowed for accurate simulation of the impact of hydrogen ions on cobalt removal rate as well as simulation of the trend of hydrogen ion concentration, which would be helpful for the actual cobalt removal process in zinc hydrometallurgy.
first_indexed 2024-03-10T12:56:41Z
format Article
id doaj.art-fd8e5758109e4990b9cf8bde3fcaac57
institution Directory Open Access Journal
issn 1099-4300
language English
last_indexed 2024-03-10T12:56:41Z
publishDate 2021-03-01
publisher MDPI AG
record_format Article
series Entropy
spelling doaj.art-fd8e5758109e4990b9cf8bde3fcaac572023-11-21T11:54:12ZengMDPI AGEntropy1099-43002021-03-0123438710.3390/e23040387Constrained Parameter Estimation for a Mechanistic Kinetic Model of Cobalt–Hydrogen Electrochemical Competition during a Cobalt Removal ProcessYiting Liang0Yuanhua Zhang1Yonggang Li2School of Automation, Central South University, Changsha 410083, ChinaSchool of Automation, Central South University, Changsha 410083, ChinaSchool of Automation, Central South University, Changsha 410083, ChinaA mechanistic kinetic model of cobalt–hydrogen electrochemical competition for the cobalt removal process in zinc hydrometallurgical was proposed. In addition, to overcome the parameter estimation difficulties arising from the model nonlinearities and the lack of information on the possible value ranges of parameters to be estimated, a constrained guided parameter estimation scheme was derived based on model equations and experimental data. The proposed model and the parameter estimation scheme have two advantages: (i) The model reflected for the first time the mechanism of the electrochemical competition between cobalt and hydrogen ions in the process of cobalt removal in zinc hydrometallurgy; (ii) The proposed constrained parameter estimation scheme did not depend on the information of the possible value ranges of parameters to be estimated; (iii) the constraint conditions provided in that scheme directly linked the experimental phenomenon metrics to the model parameters thereby providing deeper insights into the model parameters for model users. Numerical experiments showed that the proposed constrained parameter estimation algorithm significantly improved the estimation efficiency. Meanwhile, the proposed cobalt–hydrogen electrochemical competition model allowed for accurate simulation of the impact of hydrogen ions on cobalt removal rate as well as simulation of the trend of hydrogen ion concentration, which would be helpful for the actual cobalt removal process in zinc hydrometallurgy.https://www.mdpi.com/1099-4300/23/4/387cobalt removal processmechanistic kinetic modelparameter estimationconstrained parameter estimation
spellingShingle Yiting Liang
Yuanhua Zhang
Yonggang Li
Constrained Parameter Estimation for a Mechanistic Kinetic Model of Cobalt–Hydrogen Electrochemical Competition during a Cobalt Removal Process
Entropy
cobalt removal process
mechanistic kinetic model
parameter estimation
constrained parameter estimation
title Constrained Parameter Estimation for a Mechanistic Kinetic Model of Cobalt–Hydrogen Electrochemical Competition during a Cobalt Removal Process
title_full Constrained Parameter Estimation for a Mechanistic Kinetic Model of Cobalt–Hydrogen Electrochemical Competition during a Cobalt Removal Process
title_fullStr Constrained Parameter Estimation for a Mechanistic Kinetic Model of Cobalt–Hydrogen Electrochemical Competition during a Cobalt Removal Process
title_full_unstemmed Constrained Parameter Estimation for a Mechanistic Kinetic Model of Cobalt–Hydrogen Electrochemical Competition during a Cobalt Removal Process
title_short Constrained Parameter Estimation for a Mechanistic Kinetic Model of Cobalt–Hydrogen Electrochemical Competition during a Cobalt Removal Process
title_sort constrained parameter estimation for a mechanistic kinetic model of cobalt hydrogen electrochemical competition during a cobalt removal process
topic cobalt removal process
mechanistic kinetic model
parameter estimation
constrained parameter estimation
url https://www.mdpi.com/1099-4300/23/4/387
work_keys_str_mv AT yitingliang constrainedparameterestimationforamechanistickineticmodelofcobalthydrogenelectrochemicalcompetitionduringacobaltremovalprocess
AT yuanhuazhang constrainedparameterestimationforamechanistickineticmodelofcobalthydrogenelectrochemicalcompetitionduringacobaltremovalprocess
AT yonggangli constrainedparameterestimationforamechanistickineticmodelofcobalthydrogenelectrochemicalcompetitionduringacobaltremovalprocess