Visualization of the controller states of an autogenous mill from time series data

The operational variables of an industrial autogenous mill were embedded in a low-dimensional phase space to facilitate visualization of the dynamic behavior of the mill. This was accomplished by use of a multivariate extension of the method of delay coordinates used in nonlinear time series analysi...

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Main Authors: Aldrich, Chris, Burchell, J., Groenewald, V., Yzelle, C.
Format: Journal Article
Published: Elsevier 2014
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/42906
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author Aldrich, Chris
Burchell, J.
Groenewald, V.
Yzelle, C.
author_facet Aldrich, Chris
Burchell, J.
Groenewald, V.
Yzelle, C.
author_sort Aldrich, Chris
building Curtin Institutional Repository
collection Online Access
description The operational variables of an industrial autogenous mill were embedded in a low-dimensional phase space to facilitate visualization of the dynamic behavior of the mill. This was accomplished by use of a multivariate extension of the method of delay coordinates used in nonlinear time series analysis. In this phase space, the controlled states of the mill could be visualized as separate regions or clusters in the phase space. Comparison of the correlation dimension of the state variable of the mill (the load) embedded in phase space suggested that the dynamic behavior of the mill could not be represented by a linear stochastic model (Gaussian or otherwise). The low dimensionality (≤2) of the correlation dimension further suggested that the mill load depended on a few variables only and that the underlying generative process had a significant deterministic component. In addition, the operational variables could be used as reliable predictors in a neural network model to identify the controlled states of the mill. As a complementary approach to visualization of the operation of the mill, a different neural network model could be used to reconstruct a corrected power load curve by compensating for the effect of varying operating conditions.
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spelling curtin-20.500.11937-429062017-09-13T15:05:24Z Visualization of the controller states of an autogenous mill from time series data Aldrich, Chris Burchell, J. Groenewald, V. Yzelle, C. comminution modeling nonlinear time series analysis neural networks The operational variables of an industrial autogenous mill were embedded in a low-dimensional phase space to facilitate visualization of the dynamic behavior of the mill. This was accomplished by use of a multivariate extension of the method of delay coordinates used in nonlinear time series analysis. In this phase space, the controlled states of the mill could be visualized as separate regions or clusters in the phase space. Comparison of the correlation dimension of the state variable of the mill (the load) embedded in phase space suggested that the dynamic behavior of the mill could not be represented by a linear stochastic model (Gaussian or otherwise). The low dimensionality (≤2) of the correlation dimension further suggested that the mill load depended on a few variables only and that the underlying generative process had a significant deterministic component. In addition, the operational variables could be used as reliable predictors in a neural network model to identify the controlled states of the mill. As a complementary approach to visualization of the operation of the mill, a different neural network model could be used to reconstruct a corrected power load curve by compensating for the effect of varying operating conditions. 2014 Journal Article http://hdl.handle.net/20.500.11937/42906 10.1016/j.mineng.2013.10.018 Elsevier restricted
spellingShingle comminution
modeling
nonlinear time series analysis
neural networks
Aldrich, Chris
Burchell, J.
Groenewald, V.
Yzelle, C.
Visualization of the controller states of an autogenous mill from time series data
title Visualization of the controller states of an autogenous mill from time series data
title_full Visualization of the controller states of an autogenous mill from time series data
title_fullStr Visualization of the controller states of an autogenous mill from time series data
title_full_unstemmed Visualization of the controller states of an autogenous mill from time series data
title_short Visualization of the controller states of an autogenous mill from time series data
title_sort visualization of the controller states of an autogenous mill from time series data
topic comminution
modeling
nonlinear time series analysis
neural networks
url http://hdl.handle.net/20.500.11937/42906