Mathematical model of a fixed-biomass anaerobic bioreactor as a control object
Keywords:
automatic stabilization system, anaerobic bioreactor, mathematical model, simulatiAbstract
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.