Consideration of Sensitivity and Parameter Uncertainty in Optimal Process Design

Variability of operating safety limits with catalyst within a fixed-bed catalytic reactor for vapour-phase nitrobenzene hydrogenation

“…Such an uncertainty in the operating parameter must be considered in all studies dealing with determining the optimal nominal operating point. Reported results take the maximum sensitivities as constraints (Chen et al, 1970;Seinfeld & McBride, 1970), and keep the solution inside the random variation region that never intersects the constraints boundaries (Mö nnigmann & Marquardt, 2003). However, as resulted from our investigations, the confidence of runaway boundaries also has to be accounted for when determining the optimum running point for the reactor, together with the parameter uncertainty.…”

“…Thus, a preliminary investigation of the HSO and PAO location in the parametric space must be made by means of the process model, followed by a relocation of the set point in a more sensitive region for increasing the precision in determining the critical conditions. Moreover, the computed sensitivities of the state variables at the hot-spot location can be used as constraints when deriving the optimal operating conditions in the vicinity of the runaway boundaries, by means of a certain optimization criterion (Chen et al, 1970;Seinfeld & McBride, 1970). Precautions have also to be taken when the set point is moved in a PAO region, which many times corresponds to a transition domain from HSO to runaway region.…”

“…Various optimization criteria have been advanced taking certain levels of sensitivity functions as constraints (Chen, Erickson, & Fan, 1970;Seinfeld & McBride, 1970), keeping a certain distance from the runaway boundaries (Mö nnigmann & Marquardt, 2003), or explicitly including the uncertainty in the operating parameters (Takamatsu, Hashimoto, & Ohno, 1970;Watanabe, Nishimura, & Matsubara, 1973;Wen & Chang, 1968).…”

A theory of design reliability using probability and fuzzy sets

“…The problem of design uncertainty has been addressed in the literature. Most studies consider sensitivity analysis and propagation of errors (Chen et al, 1970;Lashmet and Szczepanski, 1974;Sullivan and Uhl, 1982;Macchietto et al, 1986). Few authors, however, consider the process design as an integrated unit.…”

The influence of the term Kd for endogenous metabolism on the evaluation of monod kinetics for biotechnological processes

“…In the same way scaling up can also be achieved in fewer steps and with more accuracy and effectivity. An illustration for the validity of the application of kinetic analysis is the fact that the determining factor for the size of a bioreactor has been found to be Pm (Chen et al, 1970). On the contrary, the value of K S strongly influences the type of continuous fermenter which should be used for optimal conversion and/or yield (Topiwala, 1974), (Moser et al, 1974).…”