Model reduction of aerobic bioprocess models for efficient simulation
Model reduction of aerobic bioprocess models for efficient simulation
复制标题
DOI：
10.1016/j.ces.2020.115512
复制
发表时间：
2020-05
影响因子：
4.7
通讯作者：
Zhaoyang Duan;Terrance Wilms;P. Neubauer;C. Kravaris;M. N. Cruz Bournazou
中科院分区：
文献类型：
--
作者：
Zhaoyang Duan;Terrance Wilms;P. Neubauer;C. Kravaris;M. N. Cruz Bournazou
由于对大规模和高效率制造过程的需求不断增加，用于过程操作和控制的计算机辅助工具正迅速普及。好氧过程中的一个重要状态变量是溶解氧，它可以很容易地在线测量，是代谢活动的重要指标。然而，由于氧传递的快速动力学，描述好氧生物过程的动力学模型往往是高度僵硬的。这可能会导致显着的数值问题，阻碍其用于固定步骤的离散化方法和计算成本高的应用程序，如计算机流体动力学。在这项工作中，我们使用慢运动不变流形和准稳态假设的方法来消除微分方程描述的溶解氧（快速模式）。通过这样做，该模型的易处理性显着增加与一个可忽略的损失的描述能力。该简化模型还有助于简化观测器设计问题，最后通过状态和参数估计示例证明了这一点。
Owing to the increasing demand for large scale and high efficiency in manufacturing processes, computer aided tools for process operation and control are rapidly gaining popularity. An important state variable in aerobic processes is the dissolved oxygen, which can be easily measured online and is an important indicator of the metabolic activity. However, due to the fast kinetics of the oxygen transfer, dynamical models describing aerobic bioprocesses tend to be highly stiff. This can lead to significant numerical problems hampering its use for fixed step discretization methods and computationally costly applications such as computer fluid dynamics. In this work we use the slow-motion invariant manifold and the quasi steady state assumption methods to eliminate the differential equation describing the dissolved oxygen (the fast mode). By doing this, the tractability of the model is significantly increased with a neglectable loss in description power. The reduced model is also useful for simplifying the observer design problems, which is demonstrated by a state and parameter estimation example at the end of the work.