Hm. Kvamsdal et T. Hertzberg, OPTIMIZATION OF PSA SYSTEMS - STUDIES ON CYCLIC STEADY-STATE CONVERGENCE, Computers & chemical engineering, 21(8), 1997, pp. 819-832
Two types of trace separation systems are used as case studies to inve
stigate different methods to accelerate cyclic steady state convergenc
e. The Aitken, Muller and the more rigorous Broyden based updating sch
emes seem to speed up the convergence rate considerably, at least for
systems for which the method of direct substitution converges slowly.
A damped Newton-based approach is also investigated, but since this me
thod requires an updated Jacobian at each iteration step, the integrat
ion and sensitivity calculation time is increased correspondingly. For
the two systems considered here, the total calculation time is in fac
t longer than in the direct substitution case. In the context of optim
ization, the key factors to success seem to be how the test on the CSS
convergence is performed, how the acceleration methods are initiated
and how close the initial guess is to the optimal value. Each of the i
nvestigated acceleration methods are preoptimized according to these a
spects and the Broyden method definitely shows the best result. The Ai
tken and Muller methods are rather simple and they do not seem reliabl
e enough to be applied during an optimization process. (C) 1997 Elsevi
er Science Ltd.