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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

    8

    -

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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.

    29

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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.

    30

    IEE E Control Systems

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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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