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Dynamic compartmental modeling of nitrogen purification columns

机译：氮纯化塔的动态区室建模

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The development of nonlinear control strategies for high purity distillation columns requires the availability of suitable nonlinear dynamic models.Relatively simple models are needed for the design of nonlinear model predictive controllers (NMPC) which are implemented on-line via repeated solution of a constrained nonlinear optimization problem.We utilize the compartmental modeling approach to construct control relevant dynamic models of a very high purity nitrogen purification column.Reduced-order nonlinear models are derived from a stage-by-stage balance model by partitioning the column into distinct compartments and applying time-scale arguments to convert most of the ordinary differential equations (ODE) describing each compartment into simpler algebraic equations.The compartmental models are dynamically simulated using the differential-algebraic equation (DAE) solver available in MATLAB.The stage-by-stage and compartmental models are compared to a rigorous dynamic simulator constructed in Aspen Dynamics to assess the merits of the proposed modeling strategy with regard to prediction accuracy and computational efficiency.
机译：高纯度蒸馏塔的非线性控制策略的发展需要合适的非线性动力学模型。非线性模型预测控制器（NMPC）的设计需要相对简单的模型，该模型通过重复求解受约束的非线性优化来在线实现我们利用隔室建模方法构建了一个非常高纯度的氮纯化塔的控制相关动力学模型。通过将色谱柱划分为不同的隔室并应用时间，逐级平衡模型可以得到降阶非线性模型。缩放参数以将描述每个部分的大多数普通微分方程（ODE）转换为更简单的代数方程。使用MATLAB中提供的微分代数方程（DAE）求解器动态模拟部分模型。与严格的动态模拟器const进行比较在Aspen Dynamics中进行了评估，以评估所提出的建模策略在预测准确性和计算效率方面的优点。

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