vacuum pan
TRANSCRIPT
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Expert Control of
Vacuum Pan
Crystallization
Jan Michal, Milo5 Kminek, and Pave1 Kminek
acuum pan crystallization
difficult to control by classi-
cal means. This paper pre-
sents a method of using a
rule-based expert system for
the control of such a process.
The structure of the expert
controller for adjusting the
characteristic conductivity is
shown to consist of a diagnos-
tic expert system and a dis-
crete dynamic model that is
used for conversion of seman-
tic results into numeric output
values. The expert controller
was implemented in the sugar
factory in Lovosice in cam-
paign 1993.
v.s a process that is very
Introduction
Crystallization process is
the key stage of sugar produc-
tion. The basic goal of the
vacuum pan operation is to
produce sugar crystals of a
specified size from a solution
Battery of vacuum pans sugar acto
containing sugar and non-
sugars. A typical vacuum pan with the instrumentation is shown
onFig.1.At the beginning of every individual batch the vacuum
is established and the crystallization pan is filled with juice and
syrup until the level is above the calandria into which the steam
is introduced. Low pressure exhaust steam from previous evapo-
ration stages is used to boil the juice in a vacuum pan. The syrup
is then boiled down, increasing the density and the supersatura-
tion of the syrup. Performing the operation in a vacuum allows
the water to
be
evaporated at a lower temperature, thereby
reducing the quality of required steam while minimizing the
formation of color in the growing crystals at the same time.
The composition of the feed to the pan is characterized by its
brix and its purity. Brix is the ratio of dissolved solids to the total
mass of solution while purity is the ratio of the amount of sucrose
to the total mass of dissolved solids. The purity affects the
A
version of this article wa s presented at the
1993
IEEE
Intema-
tional Conference on Svstems, Man, and Cybemetics. The authors
are with the Department of Computing and Control Engineering,
Institute of Chemical Technology, Technicka
5
166 28 Praha 6, The
Czech Republic. Email jan.mich al@ vscht.cz.
try
n
Lovosice).
solubility of the sucrose and thus the amount of sucrose required
to have a saturated solution. For crystallization to occur the
solution must be supersaturated. The precise effectsof purity on
saturation depend on the particular impurities, which are affected
by the quality of the sugar beet and its origin and which vary as
the campaign progresses. Once the correct supersaturation has
been reached the pan is seeded. This is done by introducing a
small amount of fixed quality seed crystals. The sugar juice then
begins to crystallize around these seed crystals, causing them to
grow. This suspension of sugar crystals is known as massecuite.
Once the grain is established the syrup feed is controlled to
increase the pan level and maintain the desired supersaturation
of the mother liquor. When the pan is full there is a period of
brixing up in which water is further evaporated with no additional
feed. Finally the vacuum is broken and the pan is discharged to
the receiver for centrifuging.
Control Strategy
The crystallization process control should guarantee the high-
est possible speed of crystal growth at the lowest energy con-
sumption. Early vacuum pans did not have a systemof automatic
0272- 1708/94/ 04.0001994IEEE
I EEE
Control Sys tems
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control; the operator drove the process using experience gained
over many years. Control actions and decisions were based on
practical knowledge, rules of thumb, intuitive feelings and some
other mysterious methods. He relied upon visual observation of
the crystals glittering, which could be seen through the vacuum
pan window, on the transparency of the juice sample observed
on the piece of glass, and on the speed of its flow. The only
measured values were temperature and pressure in the pan. It is
no wonder that operators were considered to be the most impor-
tant people in the sugar factory.
The main difficulty associated with the crystallization control
is in measuring of the parameters which we are trying to control.
There is no direct method of measurement of the supersaturation
of the liquor, nor of the crystal content in the pan. Today the
automation of the crystallization process is based on finding the
supersaturation indirectly-in most cases by measuring electri-
cal conductivity of the solution as the cheapest method. It has
been discovered that conductivity is an indication of the extent
of supersaturation; however, this way of measurement is far from
precise as conductivity is strongly influenced by the amount of
non-sugars in the solution. The relation between supersaturation
and conductivity is therefore changing during the campaign,
making a simple controller unusable. Crystallization
in the vac-
uum pan is a batch process usually controlled by a programmable
logic controller with a few analogue control loops. Not only is
there sequence control on the odoff valves but the continuous
control loops themselves are subjected to sequentially controlled
changes.
There are four key stages during the process which influence
the final result: boil down, seed, feed and brix-up. At the boiled
down stage the supersaturation must be reached as fast as possible,
which means the steam valve must be fully opened while the syrup
level in the pan is controlled by the feed valve.
As
soon as the
correct supersaturation has been reached the seed stage follows.
The correct supersaturation of the solution when the seeds are
introduced is very important, otherwise the seed crystals are
dissolved (supersaturation s too low) or a spontaneous nucleate
crystallization occurs (supersaturation is too high). In the feed
stage, the juices crystallize around the seed crystals decreasing the
supersaturation, n the same time water evaporation increases the
vacuum
seed
crystals
sugar crys tals mother liquor
trike receiver
Fig. 1 Vacuum pan fo r sugar crystallization.
October 1994
supersaturation.The juice and syrup feeds are controlled o main-
tain the supersaturation of the mother liquor in the predefined
range for which the crystals grow at maximum speed. An inter-
rupted feed is used to help proper mixing of the uice which is very
important in this stage. The massecuite level in the pan increases
until the pan is full. In the brix-up stage water is further evaporated
until a predetermined final density of massecuite is reached.
Typical diagramsofconductivity and level in the pan reshown
in
Fig.
2.
Characteristic values of seed, feed and brix-up conduc-
tivity are shown there. During the feed stage the conductivity
oscillates between two different values as the feed is interrupted.
The larger the amplitude of the oscillation, he better is the mixing
of the massecuite and thereby the small crystals are dissolved (but
the large ones last). The conductivity based control has several
drawbacks. It depends on the impurities and content of non-sugars
that are affected by the soil in which the beet was grown and
condition under which the beet is maintained and stored. They
vary from region to region and from year to year. The presence of
sugar crystals in the solution and its mixing affects the electrical
path length and thus the conductivity. The process can be satisfac-
torily controlled only under the condition that all conductivity
parameters are well adjusted reflecting the actual relation between
supersaturation and conductivity. They are: seed conductivity,
conductivity limits which create the envelope of the conductivity
oscillations n the feed stage and final brix-up conductivity. Much
skill and experience are required to set these parameters, which is
why the quality of control varies from shift to shift according to
the ability of the operator to adjust the parameters.
Expert Control
Expert systems show promise in solving control problems for
complex systems. As the complexity of technological processes
increases, the problem of their control becomes more critical. In
this work we focused our attention on a technological process
whose behavior is very difficult to define due to the number of
conductivity
pol boil down
F- l
loo
seed
feed
br ix up
- _
- _
_
..
_
I
I I I I I
1 2
3
4
5
time [hours]
o v
1
2 4 5
time [hours]
Fig.
2.
Typical diagrams
o
conduct ivi ty and level in the
crystallization pan.
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rule plane
I
Fig. 3. Expert controller structure.
nonlinearities and parameters that are impossible or difficult to
estimate. In this case, classical feedback control cannot be used.
One of the reasons is the difficulty in expressing the desired
behavior of the process in terms of conventional control theory
and classical design specifications. Crystallization in a vacuum
pan is a process characterized by the above mentioned condi-
tions, so that expert control presents itself as a viable alternative
to classical control methodologies.
In general the expert control of technological processes oper-
ates according to rules that are based on:
thorough knowledge about the construction and instrumen-
tation of the controlled system, and
intuitive knowledge based on the operators experience
(rules of thumb).
Both thorough knowledge and intuit ion can be expressed by
semantic rules as well as by mathematical formulas, which allow
us to express almost any desired fact about the properties of the
controlled system and its behavior. This information is concen-
trated in a knowledge-base, which typically consists of two parts
(Fig. 3). One part of the knowledge-base is a semantic net; it
consists of the statements and rules (rule plane).
A
pr ior i
probability values are assigned to all statements, indicating how
likely it is that the fact is true. Every rule links two statements
together, an evidence to a hypothesis. The strength of the link is
given by two conditional probabilities, determining the power of
the rule. All probability values are specified by the expert during
the knowledge-base construction and reflect the uncertainty of
the system. The deterministic data are related by mathematical
formulas or other algorithms, creating a parallel plane of the
expert system (data plane). Some facts in the rule plane can
trigger computation of relevant algorithms and update the nu-
merical values in the data plane, finally resulting in the value of
the controller output. Some data, on the other hand, influence the
probability values and logical conditions in the semantic net.
Creation of the knowledge-base structure for expert control
can
be
divided into three stages.
In the first stage, input data is examined from different points
of view. The starting evidences are the input data of actual values
of several-but not necessarily all-process variables. This
knowledge is obtained by means of direct or indirect measurement
orAspecially in the food industry-by means of subjective
human observation such as vision, smell or taste. The intermediate
hypotheses, hat are to
be
proven at this stage, concern properties
of the input variables. According to the input data, the a priori
probabilities of these hypotheses are modified during the expert
system run to reflect the actual stage of the system. Computation
routines may be activated at some nodes of the semantic net to
evaluate formulas expressing deterministicrelation among data.
The expert control strategy is derived from the fact that the
control rule can be expressed for some surrounding of its present
state, however complicated the system behavior may be. The
state space of the controlled process can be divided into smaller
parts or domains. The selection of the domains and their borders
is done so the control rule can be expressed by a simple formula.
The domains can overlap and the borders between the domains
can be fuzzy.
The second stage
of
the control starts with the proven hy-
potheses from the first stage. Its task is to find out the domain of
the present state of the controlled system. All final hypotheses of
the second stage have the same form: The present state of the
system is in domain D: The differences in the probabilities
encountered in several succeeding runs will show the tendency
of the controlled system behavior.
The last stage of the expert control must find out how to
influence the system in order to follow the desired trajectory in
the state space considering all criteria and limitations. It has been
assumed it was possible to determine the control rule in every
domain Di of the state space. Thus, the control rule is known for
each final hypothesis.
Now a decision is made as to which control rule will be
applied. There are several possible strategies to determine the
value of the manipulated variable of the controlled process. The
simplest possible strategy is to apply the value Ui that is associated
with the most probable final hypothesis. However, this strategy
neglects the influence of the other final hypotheses with smaller
but still comparable probability. It can lead to bang-bang control
as a small change in input data can cause other final hypotheses
to win and hence cause quite a different output to be applied.
Another strategy is based on a weighted average. In this case all
final hypotheses contribute to the value of manipulated variable
according to their final probabilities. The control is smoother in
this case. Yet other strategies use more sophisticated formulas to
determine the output value. The relation between the final hy-
pothesis and the output value can be expressed by means of a
linear discrete model with multiple inputs:
I
inference knowledge
engine
final
conduct iv i ty j
[
Fig 4 . Exper t control ler fo r tuning the parameters of the
conductivity control.
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expert systems working with uncertainties the knowledge base
priori probability and every rule must possess a l ikelihood ratio
that expresses its strength. Usually there is no reason to prefer
any intermediate hypothesis in advance, which is why the apriori
probabilities of all nodes were set to 0.5. A much more difficult
problem is to set the likelihood ratios of the rules. For L=l the
rule has no effect; if L>1 the rule supports the hypothesis
categorically; if L
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