Wiener Model and Extremum Seeking Control for a CO Preferential Oxidation
Reactor with the CuO-CeO
2
catalyst
Hyun Chan Lee, Sin Kim, Jae Pil Heo, Dong Hyun Kim, and Jietae Lee*
Department of Chemical Engineering, Kyungpook National University, Taegu 702-701, Korea
*Corresponding author. Tel:+82-53-950-5620, Fax:+82-53-950-6615, e-mail: jtlee@knu.ac.kr
Abstract: Hydrogen rich gas produced by hydrocarbon reforming contains CO up to several thousand
ppm which acts as a poison for the proton exchange membrane fuel cells. Preferential oxidation (PROX)
is one of the promising methods that reduce its concentration below 10ppm. The PROX reactor with the
CuO-CeO
2
catalyst shows optimal reactor temperature and a control system that maintains the PROX
reactor temperature at its optimal one under changing environments and catalyst deactivations.
Experimental studies to obtain a dynamic model for the CO PROX reactor have been done and the
Wiener-type nonlinear model is obtained. Then the extremum seeking control that can track the optimal
temperature for the Wiener-type nonlinear system is applied and its performance is verified
experimentally. The extremum seeking control is a non-parametric real-time optimization method and
can be applied effectively to other CO PROX reactors with different operating conditions.
Keywords: PROX Reactor, CO Oxidation, PEM Fuel Cell, Wiener Model, Extremum Seeking Control.
1. INTRODUCTION
Hydrocarbon reforming can be used to produce economically
hydrogen, a source for the proton exchange membrane fuel
cell. The hydrogen-rich gas from hydrocarbon reforming
reactors can have CO up to several thousand ppm which
poisons the anode catalyst of the fuel cell. The CO
concentration need be removed below 10ppm. The
preferential oxidation (PROX) is one of the simplest ways for
this purpose. It uses the following oxidations:
]) / [ 828 . 241 ( 5 . 0
]) / [ 984 . 282 ( 5 . 0
298 2 2 2
298 2 2
mol kJ H O H O H
mol kJ H CO O CO
o
o
(1)
In reactions of Eq. (1), the CO oxidation should occur
preferentially over the H
2
oxidation. The copper-cerium
oxide catalyst of CuO-CeO
2
has been reported to have high
activity and selectivity for CO oxidation (Dudfield et al.
2001; Kim and Cha, 2003).The CO PROX reactors with
CuO-CeO
2
catalyst can remove CO from 1% to less than
10ppm.
In the PROX reactors, the H
2
oxidation also occurs,
degrading the overall efficiency of fuel cell system with
hydrocarbon reforming. To design the CO PROX reactor,
kinetics data for the CO and H
2
oxidations under various
mixture conditions are necessary. Recently, Lee and Kim
(2008) proposed such kinetics for CO and H
2
oxidations over
the CuO-CeO
2
catalyst as
62 . 0 37 . 0 91 . 0
10
2 2
] / [ 4 . 94
exp 10 4 . 3 )] /( [
O H CO CO
CO
P P P
RT
mol kJ
s kg mol r
69 . 0 48 . 0
13
2 2 2
2
] / [ 142
exp 10 1 . 6 )] /( [
O H CO H
H
P P P
RT
mol kJ
s kg mol r
(2)
Here the partial pressures are in the unit of kPa. Both
oxidation rates are independent of the oxygen partial
pressure, i.e., zero-order reactions for the oxygen
concentration, and CO and H
2
reaction rates are near first-
order for CO and H
2
partial pressures, respectively. Rigorous
simulations that use the above kinetics with diffusion of the
reactants into the catalyst pore structure have been done (Kim
et al., 2013), showing effects on the reactor performances for
various process conditions such as the feed composition of
oxygen and the reactor temperature. One of the results to be
noted especially is that, under limited oxygen feed flow rate,
there is the reactor temperature window where the CO
concentration is below 10ppm. There is the optimal reactor
temperature within this temperature interval.
The optimal reactor temperature will change as reactor
conditions and environments change. To maintain the reactor
temperature at its optimal one under changing environments,
a control system is required for optimal and longer operations
of the reactor. For this, a dynamic model of the CO PROX
reactor is studied first. The mathematical model is
constructed and, for high thermally conductive reactor, the
dynamics between the heater input and the CO conversion is
shown to be well approximated by a Wiener-type nonlinear
model. Experimental step responses support this Wiener-type
nonlinear model.
To maintain the exit CO concentration at its minimum is a
task different from the traditional control one to regulate the
output at a given set point. There have been several
approaches to attack this real-time optimization problem such
Preprints of the
9th International Symposium on Advanced Control of Chemical Processes
The International Federation of Automatic Control
June 7-10, 2015, Whistler, British Columbia, Canada
TuM2.2
Copyright © 2015 IFAC 575