On the steady state optimization of the biogas production in a two-stage anaerobic digestion model
- 163 Downloads
In this paper, we study the optimization problem of maximizing biogas production at steady state in a two-stage anaerobic digestion model, which was initially proposed in Bernard et al. (Biotechnol Bioeng 75(4):424–438, 2001). Nominal operating points, consisting of steady states where the involved microorganisms coexist, are usually referred to as desired operational conditions, in particular for maximizing biogas production. Nevertheless, we prove that under some conditions related to input substrate concentrations and microorganism biology, characterized by their growth functions, the optimal steady state can be the extinction of one of the two species. We provide some numerical examples of this situation.
KeywordsAnaerobic digestion Biotechnology Steady state analysis Equilibrium Optimization
Mathematics Subject Classification78A70 65K10 93A30
This paper has benefited considerably from advice and comments by Andrés Donoso (CETAQUA, Chile) and Jérôme Harmand (INRA, France), although they should not be held responsible for any mistake. The authors are very grateful to them. We are also grateful to two anonymous reviewers for comments that greatly improved this manuscript. The first author would like to thank INRA Montpellier and the UMR MISTEA for providing a half year delegation during the academic year 2017–2018. This research benefited from the support of FONDECYT grant (Chile) N 1160567 and Proyecto Redes 150011 (Chile). The second author was also partially supported by Basal Project CMM Universidad de Chile.
- Daoud Y, Abdellatif NN, Harmand J (2017) Modèles mathématiques de digestion anaérobie: effet de l’hydrolyse sur la production du biogaz, https://hal.archives-ouvertes.fr/hal-01562353, working paper or preprint
- Haddon A, Harmand J, Ramírez H, Rapaport A (2017) Guaranteed value strategy for the optimal control of biogas production in continuous bio-reactors. In: IFAC word congress 2017Google Scholar
- Smith HL, Waltman P (1995) The theory of the chemostat, Cambridge studies in mathematical biology, vol 13. Cambridge University Press, Cambridge; (dynamics of microbial competition) Google Scholar
- Welz PJ, Holtman G, Haldenwang R, Le Roes-Hill M (2016) Characterisation of winery wastewater from continuous flow settling basins and waste stabilisation ponds over the course of 1 year: implications for biological wastewater treatment and land application. Water Sci Technol 74(9):2036–2050CrossRefGoogle Scholar