Nonlinear Dynamics

, Volume 73, Issue 1–2, pp 535–549 | Cite as

Steady-state analysis of the Anaerobic Digestion Model No. 1 (ADM1)

  • Astrid Bornhöft
  • Richard Hanke-RauschenbachEmail author
  • Kai Sundmacher
Original Paper


The steady-state behavior of the Anaerobic Digestion Model No. 1 (ADM1) with respect to dilution rate and substrate concentration is analyzed in this study. Thereby, up to ten coexisting steady-state solutions are observed under the same operating conditions. The parameter region of a methane producing operation is limited regarding high dilution rates as well as low or high substrate concentrations. The underlying mechanisms causing those limits are investigated in detail, and the common core is identified, namely a positive feedback loop between growth of acetate degraders and acetate itself. The difference lies in the activation mechanisms of this feedback loop, which differs in the three investigated cases.

The comparison of the present results with literature studies of simpler two-step models reveals qualitative differences regarding the substrate concentration. Therefore, an alternative simplified model is suggested, which shows qualitatively the same bifurcation behavior as the ADM1 considering variation of the substrate concentration.


ADM1 Anaerobic digestion Steady-state multiplicity Bifurcation Biogas production 



This work was funded by the Federal State of Saxony-Anhalt under the grant Green-FC (6003398800).


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Astrid Bornhöft
    • 1
  • Richard Hanke-Rauschenbach
    • 2
    Email author
  • Kai Sundmacher
    • 1
    • 2
  1. 1.Process Systems EngineeringOtto-von-Guericke University MagdeburgMagdeburgGermany
  2. 2.Max Planck Institute for Dynamics of Complex Technical SystemsMagdeburgGermany

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