Continuity-based interfacing of models for wastewater systems described by Petersen matrices.
In this paper the Petersen and composition matrices that modellers are now familiar with are used as a basis to construct interfacing models between subsystems considered in wastewater treatment. Starting from continuity considerations and a set of transformation reactions between components used in the two models of the subsystems to be interfaced, a set of linear algebraic equations needs to be solved. The theoretical development is illustrated using a simplified integrated model of an activated sludge system coupled to an anaerobic digester. Continuity-guaranteed interfacing of subsystems will facilitate optimization studies of the within-the-fence process units of a wastewater treatment plant or of the integrated urban wastewater system.
Vanrolleghem
P A
PA
Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure Links 653, 9000 Gent, Belgium. peter.vanrolleghem@ugent.be
Rosen
C
C
Zaher
U
U
Copp
J
J
Benedetti
L
L
Ayesa
E
E
Jeppsson
Ulf
U
D001421:Bacteria, Anaerobic / Q000254:growth & development / Q000378:metabolism; D018533:Biomass; D019149:Bioreactors; D002245:Carbon Dioxide / Q000378:metabolism; D005232:Fatty Acids, Volatile / Q000378:metabolism; D008697:Methane / Q000378:metabolism; D008954:Models, Biological; D010100:Oxygen / Q000378:metabolism; D000644:Quaternary Ammonium Compounds / Q000378:metabolism; D012722:Sewage; D014865:Waste Disposal, Fluid / Q000379:methods*
D005232:Fatty Acids, Volatile; D000644:Quaternary Ammonium Compounds; D012722:Sewage; D002245:Carbon Dioxide; D008697:Methane; D010100:Oxygen