R. Carta et al., PERFORMANCE OF COLLOCATION MODELS FOR SIMULATING TRANSIENT MULTISTAGESEPARATION UNITS, Computers & chemical engineering, 19(11), 1995, pp. 1141-1151
A systematic analysis has been developed to investigate the performanc
e of reduced-order models for multistage separation units in transient
simulations. In particular, we have analyzed the accuracy of these mo
dels in reproducing some characteristic features of the dynamic behavi
or of the original full-order model, i.e. the eigenvalue of smallest m
odulus lambda(min) and the singular values obtained through open-loop
singular value decomposition. It is found that as the relative volatil
ity increases the maximum reduction factor allowed by a prescribed acc
uracy decreases. The present analysis shows that, with the above limit
ations on the value of the reduction factor, reduced-order models are
able to capture the true dynamics of the corresponding full-order mode
ls. Furthermore, the results indicate that the accuracy requirements i
n transient simulations are more stringent than in steady-state simula
tions, i.e. transient models require lower reduction factors for a giv
en accuracy.