Continuity-based interfacing of models for wastewater systems described by Petersen matrices

Research output: Contribution to journalArticle


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.


  • P A Vanrolleghem
  • Christian Rosén
  • U Zaher
  • J Copp
  • L Benedetti
  • E Ayesa
  • Ulf Jeppsson
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Other Electrical Engineering, Electronic Engineering, Information Engineering


  • model interfacing, elemental balancing, mathematical modelling, plant-wide modelling, sludge digestion
Original languageEnglish
Pages (from-to)493-500
JournalWater Science and Technology
Issue number1-2
Publication statusPublished - 2005
Publication categoryResearch