Control Loop Calculation

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    Is Counting the Number of Control Loops a Valid Technique for Estimating Operator Workload?

    Many control system manufacturers have assumed that there is a direct correlation of the number of

    control loops of a process and the resulting workload of the operator controlling the process. Duringreinstrumentation projects, control system engineers exert a tremendous amount of effort in balancing thenumber of control loops between control board operators. Intuitively, from a hardware standpoint, this

    line of reasoning makes sense; as the operators instrumentation responsibilities increases, so should the

    number of things the operator must monitor and adjust. The more things the operator must monitor andadjust, the more time he must spend doing so, and the higher his workload. Similar to adding weight to a

    laborer to increase his physical workload, adding instrumentation to a control board operator will increasehis mental workload. If this line of reasoning is correct, then there should be some way to objectively

    measure this effect. For example, one would expect that as the number of control loops increases, theamount of time the operator spends monitoring and adjusting the control system would also increases by a

    proportional amount. The question is, what parameters of operator performance should be measured to

    find this effect, and also, what parameters should be used to gauge operator workload?

    Since 1983 Beville Engineering has been investigating factors that influence workload of petrochemical

    plant operators. During this period of time, Beville Engineering has developed a database of operatorperformance, which is a collection of observations of petrochemical plant operators performing their

    duties. The database has recently been used to investigate whether or not any relationship exists betweenthe number of feedback control loops under a distributed control system operators control and control

    board operator activities. The relationships which were investigated were the number of control loopsversus: 1) # of alarms per hour, 2) communication contacts per hour, 3) # of display changes per hour, 4)

    % of operators time engaged in job activities (direct time), 5) % of time operator spent interacting with

    DCS, and 6) # of controller adjustments per hour. All of the process unit data used in the comparisonswas taken during normal, steady-state operating conditions.

    Linear regression analysis was used to investigate whether of not relationships existed between thenumber of control loops under an operators control and the board operator activities. The measure of a

    relationship between two variables is R-squared. A direct 1-to-1 relationship would produce an R-squaredvalue of 1.0, or -1.0 for a negative relationship. An R-squared value of 0.0 would indicate that no

    relationship existed, and a graph of the two variables would be a straight line. For a relationship to beuseful for making predictions, most statisticians would agree that an R-squared value of 0.6 or higher is

    needed.

    Figure 1 is the first correlation between the number of control loops and the number of alarms per hour. Arelationship between these two parameters indicates that as the number of control loops increases, the

    number of alarms per hour the operator must respond to also increases. The R-squared value of 0.34 does,

    in fact, indicate that relationship exists, though the relationship is moderate.

    Figure 2 contains a comparison between the number of control loops and the number of communicationcontacts the control board operator made during the sampling. This indicates that as process complexityincreases (represented by the number of control loops), the control operator communications also

    increase. In this comparison also, the R-squared value of 0.31 indicates that a moderate relationshipexists.

    Figure 3 is a comparison between the number of control loops and the number of display changes per

    hour the board operator made. This correlation would indicate that as the number of control loops

    increases, the operator must make more display changes to access the instruments. The analysis obtainedan R-squared value of 0.2, indicating that a relationship does exist, but the relationship is weak.

    Figure 4 is a comparison between the number of control loops and the percentage of time the operator wasobserved engaged in job related activities (direct time). A correlation between these two variables would

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    indicate that as the number of control loops increases, the amount of time the operator is engaged in job

    related activities also increases. The R-squared value of 0.15 indicates that it is an extremely smallrelationship.

    Figures 5 and 6 are comparisons of the number of control loops versus % of time the operator wasobserved interacting with the DCS and, number of control loops versus the number of controlleradjustments per 4 hours. With R-squared values of 0.07 and 0.05 respectively, neither comparison

    contained a relationship. In short, there is no relationship between the number of control loops and theamount of time the operator spends on the control system, nor is there a relationship between the numberof control loops the operator is controlling and the number of controller adjustments the operator makes

    per hour.

    From the data gathered by Beville Engineering, the number of control loops does appear to be correlated

    to some parameters of operator performance which contribute to operator workload, but that all of the

    correlations are very weak. In the absence of other objective data, using the number of control loops as anestimator of operator workload is probably better than nothing at all. However, there are other ways toobtain objective workload estimations.

    New techniques to measure workload which have been developed by the aerospace community hold

    much promise. The two most prominent techniques are the USAFs Subjective Workload AssessmentTechnique (SWAT), and the National Aeronautical and Space Administrations Task Load Index (NASA-TLX). Beville Engineering has used these techniques in the petrochemical industry to gauge control boardoperator workload in combination with the observational techniques described above.

    There are probably numerous reasons why the number of control loops is a poor estimator of the factorswhich contribute to and are an indication of operator workload. Operator workload is a multifacetedconstruct which is influenced by numerous variables. Some additional factors that influence operator

    workload include: process stability, level of process automation, training/experience of the operator,

    quality of control system-human interface (displays/alarms), and crew interactions/communicationactivity. To attain a valid estimate of control board operator workload, the best approach is to measure a

    number of parameters of operator performance and employ the new workload assessment techniques.

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    Figure 1 & Figure 2

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    Figure 3 & Figure 4

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    Figure 5 & Figure 6