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Permanent link (DOI): https://doi.org/10.7939/R37069
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Optimal Control of Fixed-Bed Reactors with Catalyst Deactivation Open Access
- Other title
Distributed parameter systems
Infinite dimensional systems
- Type of item
- Degree grantor
University of Alberta
- Author or creator
- Supervisor and department
Forbes, Fraser (Chemical and Materials Engineering), Dubljevic, Stevan ( Chemical and Materials Engineering)
- Examining committee member and department
Shah, Sirish (CME)
McCaffrey, William (CME)
Perrier, Michel ( Chemical Engineering, Polytechnique Montreal)
Department of Chemical and Materials Engineering
- Date accepted
- Graduation date
Doctor of Philosophy
- Degree level
Catalytic reactors have widespread applications in chemical and petrochemical industries. The most well known type of catalytic reactors are fixed-bed or packed-bed reactors where the reaction takes place on the surface of the catalyst.
One of the most important phenomena that takes place in a catalytic fixed-bed reactor is catalyst deactivation. Catalyst deactivation can have variety of consequences. It can have negative effects on the conversion and selectivity of the desired reaction. Consequently, it will affect the productivity and energy efficiency of the plant. It is therefore important to design efficient controllers that are able to track the optimal pre-defined trajectories of the operating conditions to ensure optimal operation of the plant.
Depending on the transport and reaction phenomena occurring in a fixed-bed
reactor, it can be modelled by a set of partial differential equations (PDEs) or a mixed set of PDEs and ordinary differential equations (ODEs). Moreover, the governing transport phenomenon (i.e. diffusion or convection) dictates the type of PDEs involved in the model of the reactor (i.e. parabolic or hyperbolic).
In this work, infinite dimensional optimal control of a fixed-bed reactor with catalyst deactivation is studied. Since dynamical properties of hyperbolic PDEs and parabolic PDEs are completely different, they are discussed as different topics.
The thesis begins with optimal control of a class of fixed bed reactors with catalyst deactivation modelled by time-varying hyperbolic equations. Then the model predictive control of this class of distributed parameter systems under parameter uncertainty is explored. The optimal control of reactors modelled by parabolic PDEs is first explored for the case of reactors without catalyst deactivation. Then the proposed controller is extended to a more general class of distributed parameter systems modelled by coupled parabolic PDE-ODE systems which can represent fixed-bed reactors with the rate of deactivation modelled by a set of ODEs.
Numerical simulations are performed for formulated optimal controllers and their performance is studied.
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