Reactor designs with mixed catalysts play an important
role in
transforming a multiple reactor system to single-shot reactors. In
addition to savings in capital and ease of implementation, single-shot
reactors are useful to break equilibrium limitations, thereby increasing
the yield and selectivity of desired product as shown in previous
studies. However, the nonlinear and highly exothermic nature of mixed-catalyst
systems makes it difficult for commercial process simulation and optimization
tools to optimize these systems. This study describes the development
and application of optimization strategies for mixed-catalyst, single-shot
reactors for syngas to olefin (STO) processes. Finding the optimal
catalyst distribution is challenging and requires advanced solution
strategies for singular optimal control problems, which are poorly
conditioned and often lead to flat response surfaces. The graded bed
and partial-moving finite-element approaches are used to find the
optimal catalyst distribution that maximizes the olefins yield. A
1.3% increase in the yield is observed from one zone to three zones.
The yield further improves from three zones to the exact infinite
dimensional solution by 0.2%. This improvement can be realized in
practice by changing only the catalyst distribution, without any extra
investment. Finally, the results suggest that a mixed-catalyst single
shot reactor bed can be applied to other reaction mechanisms to increase
reactor performance.