Distillation Column Controllability Analysis through Heat Pump Integration

Distillation Column Controllability Analysis through Heat Pump Integration

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From the aforesaid variables, the system approximated linearity and process gain matrices in each case are shown in Table 3. When temperatures were used as manipulated variables instead of heat variables, temperatures were already controlled by pre-existing control loops and then either used to control manually or sent as a set-points for automatic control, which changed the system from what it used to be when provisions were only made for control by heat inputs. Hence, it can be observed in Table 3 that the corresponding open-loop gains of two systems differed even when analyzing loops those other inputs variables.
The definition and ideal values of indices explained in Table 1. It can be seen in Table 4 that controllability indices were determined to choose the best manipulated variables to control the outputs. To accomplish this goal, twelve and twenty groups of manipulated variables were selected to examine D-VRHP and D-BFHP, respectively.
Diagonal elements of the RGA are presented in Table 4. As the sum of elements in each row and column of an RGA matrix added up to 1, it sufficed for a 2×2 matrix to report the diagonal element only. Favorable pairings of the possible input-output pairings from the results are highlighted in Table 4. These are the ones for which the diagonal was positive and as close to unity as possible. The notable unfavorable pairings with large RGA elements were 'QG1' and 'TG1' in D-VRHP and 'QG8' ,'QG9', 'QG10', 'TG8', 'TG9' and 'TG10' in D-BFHP to control outputs. A possible explanation for this can be the fact that each input produces similar effects on each output through many intermediate state variables. At each propagation level, there are interactions so that the overall interaction is high.

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