Abstract
A structured model of bioreactor for an activated sludge process was presented. The stability and bifurcation characteristics of the model are investigated, the bifurcation analysis of the model shows static and complex dynamic behavior (periodic and complex) over a wide range of the model parameters. The model exhibits a new interesting behavior (in some range of parameters) including four static limit points (turning points) and two Hopf points, that cause different kinds and rich of stability characteristics ranging from asymptotically stable and hysteresis to periodic and complex behavior.
Highlights
The heterogeneity and the complexity of activated sludge processes pose a continuous challenge to developing models that can incorporate all the necessary levels of information concerning the process and be accurate enough for the adequate control and safe operation of the bioreactor[1].The complete quantification of the microbiological system on the other requires the understanding of the complex biological and physicochemical interactions in the process and the measurement of a large number of reaction rates, which is often beyond the scope of reasonable measurement techniques
Substrate inhibition has been extensively studied both in batch reactors and in chemostats and it was shown that substrate inhibition models are fundamental in predicting the stability characteristics in activated sludge reactors, such as the occurrence of steady-state multiplicity and the hysteresis phenomenon[17,18]
Methodology for static and dynamic bifurcation consists vs. residence time θ )
Summary
The heterogeneity and the complexity of activated sludge processes pose a continuous challenge to developing models that can incorporate all the necessary levels of information concerning the process and be accurate enough for the adequate control and safe operation of the bioreactor[1].The complete quantification of the microbiological system on the other requires the understanding of the complex biological and physicochemical interactions in the process and the measurement of a large number of reaction rates, which is often beyond the scope of reasonable measurement techniques. Bertucoo et al.[9] on the other hand, examined the stability and bifurcation characteristics of the activated sludge reactors with solids recycle and showed the existence of steady-state multiplicity for some range of operating parameters.
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