IFAC PapersOnLine 51-21 (2018) 111–116
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2405-8963 © 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
Peer review under responsibility of International Federation of Automatic Control.
10.1016/j.ifacol.2018.09.401
© 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
1. INTRODUCTION
Big data is a current word across almost all businesses and
plays a key part in Industry 4.0. The term big data is used
here to characterize data that is not just large but complex in
nature (MacGregor, 2017). Furthermore, there is not just one
issue with big data, there are different objectives depending
upon whether one is in sales, marketing, finance,
manufacturing, etc. and there are many different issues to be
solved (data collection, warehousing, integration, and
analytics). Most of these issues need to be improved in order
to be able to use the data to extract actionable information.
The focus in this paper is on the issues that one must consider
to effectively extract information and how we use these
models to aid flotation operation.
To analyse historical data, one needs to make use of models,
usually empirical, such as regression, data mining or latent
variable models. George Box, a famous statistics professor
used to often say “All models are wrong but some are
useful”. The problem is that most people think of empirical
models as there were interchangeable, irrespective of the
nature of the data or the objectives of the problem. Whether a
model is useful depends upon three factors (MacGregor,
2017):
(i) The objectives of the model
(ii) The nature of the data used for the modeling
(iii) The regression method used to build the model
From an objective point of view, there are basically two
major classes of models: those to be used for passive use and
those to be used for active use. Passive models are intended
to passively observe the process in the future. Such passive
applications include classification, inferential or soft sensors,
and process monitoring. For such passive uses one does not
need causal models, rather one wants to just model the
normal variations common to the operating process.
Historical data is ideal for building such models. Models for
active use are intended to be used to actively alter the
process. Such active applications include using the models to
optimize or control the process or to trouble-shoot process
problems or gain causal information from the data. For active
use one needs causal models. Causality implies that for any
active changes in the adjustable or manipulatable variables in
the process, the model will reliably predict the changes in the
output of interest (MacGregor, 2017).
The problem is that to guarantee causality in any set of
adjustable process variables one needs to have independent
variation in those variables, such as would result from a
designed experiment performed on the plant. But historical
plant operating data almost never contains such information,
rather most variables vary in a highly correlated manner and
Keywords: modeling, flotation, industrial,
Abstract: The use of simulators is a powerful tool to train plant operators and to be also incorporated in
the development and test of supervisory control strategies. However, the phenomenological models
describing the process are relatively complex, characterized by nonlinear relationships and whose
parameters are depending on many local factors, such as, the plant configuration, the individual
characteristics of the equipment, the availability of on-line measurements and the characteristics of the
feed, among others.
In this work, the previously developed phenomenological model is adapted to the particular
characteristics of the rougher circuit of an industrial flotation plant, considering its particular layout and
the available information to feed the simulator. The rougher circuit consists of three lines of 8 mechanical
cells processing a feed of 4000 tons/h.
The new model predictions were tested for a family of feed characteristics, including variation of
mineralogical species under different operating conditions. Since some variables are commonly
unmeasured during the operation, additional data were incorporated to improve the model predictability.
The use of the simulator is illustrated in several examples, as well a discussion of the model prediction
limitations due to some particularities found in the historical operating data. Copyright
2018 IFAC.
* Department of Chemical Engineering, Santa Maria University, Valparaíso, Chile
(Tel: 56-32-2654229; e-mail: luis.bergh@ usm.cl).
L. Bergh*, J.Yianatos*, C. Acuña*, K. Inostroza*
Adapting a Phenomenological Model of a Rougher Flotation Circuit to Industrial
Historical Operating Data Base