The
so-called lumped reaction networks are extensively used to
model complex processes such as hydrocracking. Despite this, studies
on the further applicability of these networks during a reactor scale-up
and design are notably sparser. The application of a lumped reaction
network to solve such problems requires dealing with a wide range
of uncertainties, for example, reaction kinetics, the heat of reaction,
or pseudocomponent densities. In this work, the design procedure of
a trickle-bed hydrocracking reactor with multiple catalyst layers
is carried out using a few-step lumped reaction network. The uncertain
parameters are considered in a stochastic objective function using
uniform probability distributions. Moreover, we extend this approach
to catalyst deactivation as well, pointing out that this phenomenon
can also be interpreted as a form of uncertainty, instead of estimating
the activity using more complex and resource-intensive dynamic simulations.
The results obtained by the application of the stochastic design method
are compared to the performance of the conventional model-based design
as well. An improved test of robustness is applied to evaluate the
performance of the reactors under various uncertain conditions. The
results indicate that the application of the suggested methods can
simplify the structure of the hydrocracking reactor. For example,
a fewer number of catalyst layers will be required while retaining
the robustness of the reactor at the same time.