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A Dynamic Analysis for an Anaerobic Digester: Stability and Bifurcation Branches

机译:厌氧消化器的动态分析:稳定性和分支分支

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摘要

This work presents a dynamic analysis for an anaerobic digester, supported on the analytical application of the indirect Lyapunov method. The mass-balance model considered is based on two biological reaction pathways and involves both Monod and Haldane representations of the specific biomass growth rates. The dilution rate, the influent concentration of chemical oxygen demand (COD), and the influent concentration of volatile fatty acids (VFA) are considered as stability parameters. Several characteristics are determined analytically for the normal operation equilibrium point: (i) equilibrium coordinates, (ii) parameter conditions that lead to positive values of the equilibrium state variables, (iii) parameter conditions for locally stable nature of the equilibrium, (iv) coordinates for the local bifurcation points-fold and transcritical-, and (v) coordinates of the crossing between bifurcation points. These factors are computed analytically and explicitly as expressions of the dilution rate and the influent concentrations of COD and VFA.
机译:这项工作为厌氧消化池提供了动态分析,并在间接Lyapunov方法的分析应用中得到了支持。所考虑的质量平衡模型基于两个生物反应路径,并且涉及特定生物量增长率的Monod和Haldane表示。稀释率,化学需氧量的进水浓度(COD)和挥发性脂肪酸的进水浓度(VFA)被认为是稳定性参数。通过解析确定了正常运行平衡点的几个特征:(i)平衡坐标,(ii)导致平衡状态变量为正值的参数条件,(iii)平衡的局部稳定性质的参数条件,(iv)局部分叉点的倍数和跨临界点的坐标,以及(v)分叉点之间的交点的坐标。这些因素可以通过稀释率和COD和VFA进水浓度的表达式进行分析和显式计算。

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  • 来源
    《Mathematical Problems in Engineering》 |2014年第21期|514797.1-514797.14|共14页
  • 作者单位

    Univ Catolica Manizales, Fac Ingn & Arquitectura, Manizales 170002, Colombia.;

    Univ Autonoma Manizales, Dept Fis & Matemat, Antigua Estn Ferrocarril, Manizales 170001, Colombia.;

    Univ Nacl Colombia, Fac Ingn & Arquitectura, Dept Ingn Elect Elect & Computac Percep & Control, Manizales 170003, Colombia.;

    Univ Nacl Colombia, Fac Ingn & Arquitectura, Dept Ingn Elect Elect & Computac Percep & Control, Manizales 170003, Colombia.;

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