Abstract
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 system is modeled using rigorous mass and energy balances. The low-order model is compared with a first-principles model developed with the commercial simulator 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 a possible approach to overcome the constant wave shape assumption. Extensions for multiple column modeling and nonlinear system design are also discussed.
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