Modelagem cinética do modelo de Silva e Cerqueira (múltiplos substratos) utilizando a técnica de otimização meta-heurística Particle Swarm Optimization (PSO) em linguagem Python

Abstract

Several studies for the biological processes proposed for the treatment of effluents have been emerging with the aim of providing strategies for the preservation of existing resources. For example, the use of microalgae, which has been studied as a new potential for effluent treatment due to its ability to eliminate a variety of nutrients or existing pollutants and the use of its residual biomass for the production of biofuels. From this perspective, the kinetic study of a biochemical process becomes essential to assume and/or control the system under study, since it is possible to investigate an analysis of the evolution of the concentration values of one or more components of the cultivation system as a function of of the process time. Thus, the present work sought to evaluate the behavior of the kinetic model of Silva and Cerqueira (Multiple Substrates) in wastewater treatment by microalgae, in order to model and optimize its operation with the use of computational tools, in particular, using the PSO metaheuristic optimization technique in Python language. Thus, in relation to kinetic modeling and simulation, for the removal of contaminants, the equation of order n proved to be more suitable with intermediate order between 1st and 2nd being used (ie, 1 < n < 2) and with constant 0 < k < 0.2, obtaining MPE between 15 - 28% similar to that seen in the literature. Using the Monod Model, the algorithm was able to determine 𝜇𝑚á𝑥 and Ks that were shown in the intervals: 0 < 𝜇𝑚á𝑥 < 4 day-1 and 0 < Ks < 50 mg/L with MPE between 15 - 28%. Applying these constants in the Model by Silva and Cerqueira and studying the delimitation of mep, which are specific to this model, it was in fact verified that the model proved to be very sensitive to these constants, managing to delimit an interval for convergence: 0 < p < 0.5 and 0 < m < 2, obtaining for the same data tested in Monod an MPE between 4 - 15% for Silva and Cerqueira (significantly lower). Finally, the results showed that there was a good fit of the microalgal growth and that it is possible to associate several contaminants with the cellular growth of microalgae as well as the constants of the Silva and Cerqueira Model (m and p) showed a significant influence on the magnitude and curvature of the microalgal growth curve.