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Low-order dynamic modeling of cryogenic distillation columns based on nonlinear wave phenomenon

机译：基于非线性波动现象的低温蒸馏塔低阶动态建模

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摘要

A low-order dynamic model based on nonlinear wave theory is developed for a cryogenic distillation column used for nitrogen purification. By tracking the wave front propagating through the column, a simple mathematical model capable of describing the essential column dynamics is derived. The combined reboiler/condenser systems is modeled using rigorous mass and energy balances. The low-order model is compared with a first-principles model developed using rigorous mass and energy balances. The low-order model is compared with a first-prinicples model developed with the commercial siumlator HYSYS.Plant (Hyprotech) and is found to produce satisfactory predictions over a large range of operating conditions. The simulation results illustrate potential limitations of the assumptions used in the wave model development. On-line model adaptation is proposed as possible approach to overcome the constant wave shape assumption. Extensions for multiple column modeling and nonlinear system design are also discussed.
机译：针对用于氮气净化的低温蒸馏塔，开发了基于非线性波理论的低阶动力学模型。通过跟踪传播通过圆柱的波阵面，得出了能够描述基本圆柱动力学的简单数学模型。再沸器/冷凝器组合系统使用严格的质量和能量平衡进行建模。将低阶模型与使用严格的质量和能量平衡开发的第一原理模型进行比较。将低阶模型与使用商用语音合成器HYSYS.Plant（Hyprotech）开发的一元模型进行了比较，发现该模型在很大范围的工作条件下都能产生令人满意的预测。仿真结果说明了在波浪模型开发中使用的假设的潜在局限性。提出了在线模型自适应作为克服恒定波形假设的可能方法。还讨论了多列建模和非线性系统设计的扩展。

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