微生物电解槽DAE模型的灵敏度和分岔分析
Sensitivity and Bifurcation Analysis of a DAE Model for a Microbial Electrolysis Cell
摘要：
微生物电解槽是一种廉价、高效、可持续的制氢新技术。然而，为了扩大这项技术的规模，我们需要更好地了解设备中的过程。在这项工作中，我们提出了一个微分-代数方程（DAE）模型的微生物电解槽的代数约束电流。然后，我们进行的DAE系统的灵敏度和分岔分析。该模型可以应用于间歇循环MEC或连续流MEC。我们进行微分代数灵敏度分析后拟合模拟的电流密度数据的批量循环MEC。灵敏度分析表明，在实验过程中的特定时间，哪些参数对电流密度的影响最大。特别是，外生电细菌的生长和消耗参数在峰值电流密度之前具有强烈的影响。最大化峰值电流密度的替代策略是在连续流MEC中保持具有非零电流密度的长期稳定平衡。我们的特点是一个稳定的非零电流平衡所需的最低稀释率，并证明跨临界分叉的稀释率参数交换稳定的几条曲线之间的平衡。具体而言，增加稀释率通过三个制度过渡的系统，其中稳定的平衡表现出（i）由产甲烷菌的竞争性排斥，（ii）共存，和（iii）由exolectrogens竞争性排斥。正长期电流生产仅在最后两种制度下可行。这些结果表明，如何修改系统参数，以增加峰值电流密度在一个间歇循环MEC或增加长期的电流密度平衡值在一个连续流MEC。
英文摘要：
Microbial electrolysis cells (MECs) are a promising new technology for producing hydrogen cheaply, efficiently, and sustainably. However, to scale up this technology, we need a better understanding of the processes in the devices. In this effort, we present a differential-algebraic equation (DAE) model of a microbial electrolysis cell with an algebraic constraint on current. We then perform sensitivity and bifurcation analysis for the DAE system. The model can be applied either to batch-cycle MECs or to continuous-flow MECs. We conduct differential-algebraic sensitivity analysis after fitting simulations to current density data for a batch-cycle MEC. The sensitivity analysis suggests which parameters have the greatest influence on the current density at particular times during the experiment. In particular, growth and consumption parameters for exoelectrogenic bacteria have a strong effect prior to the peak current density. An alternative strategy to maximizing peak current density is maintaining a long term stable equilibrium with non-zero current density in a continuous-flow MEC. We characterize the minimum dilution rate required for a stable nonzero current equilibrium and demonstrate transcritical bifurcations in the dilution rate parameter that exchange stability between several curves of equilibria. Specifically, increasing the dilution rate transitions the system through three regimes where the stable equilibrium exhibits (i) competitive exclusion by methanogens, (ii) coexistence, and (iii) competitive exclusion by exolectrogens. Positive long term current production is only feasible in the final two regimes. These results suggest how to modify system parameters to increase peak current density in a batch-cycle MEC or to increase the long term current density equilibrium value in a continuous-flow MEC.
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