mathematics
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LANS

LANS Publications

"A Framework for Chemical Plant Safety Assessment under Uncertainty"

X. Zeng, M. Anitescu, C. Pereira, and M. Regalbuto

Studies Inform. Control, vol. 18, no. 1, , pp. 7-20. Also Preprint ANL/MCS-P1546-0908

Preprint Version: [pdf]

We construct a framework for assessing the risk that the uncertainty in the plant feed and physical parameters may mask the loss of a reaction product. To model the plant, we use a nonlinear, quasi- steady-state model with stochastic input and parameters. We compute the probability that more than a certain product amount is diverted, given the statistics of the uncertainty in the plant feed, in the
values of the chemical parameters, and in the output measurement. The uncertainty in the physical parameters is based on the one provided by the recently developed concept of thermochemical tables. We use Monte Carlo methods to compute the probabilities, based on a Cauchy-theorem-like approach to avoid making anything but the safest asymptotic assumptions, as well as to avoid the excessive noise in the region of low-probability events.