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Mathematical modelling of biodigestion in an Indian biodigester and its stability analysis via Lyapunov technique

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Author(s):
Chaves, Gustavo T. ; Teles, Felipe ; Balbo, Antonio R. ; dos Reis, Celia A. ; Florentino, Helenice de Oliveira
Total Authors: 5
Document type: Journal article
Source: RENEWABLE ENERGY; v. 226, p. 8-pg., 2024-04-10.
Abstract

Biodigesters are vessels in which a microbiological consortium converts an organic residue into biogas and biofertilizer. This bioprocess, anaerobic biodigestion, plays an important environmental role since the residue at the end of the reaction has a reduced organic load, in addition to lower toxicity, and can therefore be disposed of with less impact on the environment. Moreover, biodigestion produces biogas, which is of great interest in view of the current shortage of fossil fuels. In this sense, this work proposes a nonlinear mathematical model based on the mass flux balance of an Indian biodigester and it also analyses its properties, in particular the Lyapunov stability of its equilibrium solutions, and verifies the non -negativity of its solutions to be consistent with the biology of the issue. The proposed model represents an important tool to describe anaerobic biodigestion in an Indian biodigester, providing information for further planning, scenario prediction and control of the bioprocess. Simulations of the model in different scenarios showed that lower initial bacteria/substrate concentration ratios ( approximate to 0.14) can promote better biogas production performance. (AU)

FAPESP's process: 14/01604-0 - A multiobjective methodology for renewable energy
Grantee:Helenice de Oliveira Florentino Silva
Support Opportunities: Scholarships abroad - Research
FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:Francisco Louzada Neto
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC
FAPESP's process: 14/20853-0 - Interior/exterior point and smoothing functions hybrid methods in environmental/economic dispatch multiobjective problems
Grantee:Antonio Roberto Balbo
Support Opportunities: Regular Research Grants