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.
Continuity-based interfacing of models for wastewater systems described by Petersen matrices
P.A. Vanrolleghem, C. Rosen, U. Zaher, J. Copp, L. Benedetti, E. Ayesa, Ulf Jeppsson; Continuity-based interfacing of models for wastewater systems described by Petersen matrices. Water Sci Technol 1 July 2005; 52 (1-2): 493–500. doi: https://doi.org/10.2166/wst.2005.0558
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