Mathematical model of a fixed-biomass anaerobic bioreactor as a control object
Introduction: The efficiency and environmental safety of industrial objects depend on the efficiency of their bioremediation facilities. Managing the purification in bioreactors is significantly limited by the complexity of describing the physical and biochemical processes. Purpose: Developing a generalized mathematical model of an anaerobic bioreactor with fixed biomass as an object of an automatic control system, in order to take into account the structural and technological features of a wastewater treatment system. Methods: Simulation of mass transfer and biochemical transformations in an anaerobic bioreactor, and development of a mathematical model applicable for the synthesis of a control system. Results: A generalized mathematical model of an anaerobic bioreactor with fixed biomass was obtained on the basis of mass transfer equations. This model is supplemented with components which take into account biochemical transformations. On the basis of the bioreactor design and technological parameters, necessary assumptions were made which allowed us to formulate boundary and initial conditions with an accuracy sufficient for engineering practice. The choice of controlled parameters of the technological process in an anaerobic bioreactor is substantiated, ensuring the best purification at the lowest cost. The obtained generalized mathematical model of an anaerobic bioreactor with fixed biomass allows you to perform a simulation of a bioreactor under specified operating conditions. For these conditions, an approximating model was constructed which can be used for a control system synthesis. Practical relevance: The developed algorithms allow you to apply the obtained results to a wide class of the existing anaerobic bioreactors with fixed biomass, and to build control systems of a much higher efficiency, including the cleaning system upgrade stages.