Advanced Process Modelling for separation systems
Pressure-Swing Adsorption (PSA): using modelling to optimise the cyclic steady state
Pressure-Swing Adsorption is a technology widely used in gas production. However it is a difficult process to model accurately; it is inherently dynamic, and the adsorption process, if properly modelled, involves complex diffusion relationships.
Process Systems Enterprise's gPROMS Advanced Process Modelling package provides powerful technology for modelling Cyclic Separation Processes of all kinds, including PSA systems and the closely-related Vacuum-Swing Adsorption (VSA).
- Optimise the cyclic steady state
- Minimise overdesign
- Verify designs and establish viability
- Accelerate implementation
- Optimise safe and effective start-up procedures
- Define operating envelopes
- Perform control design
- Maximise operational flexibility
- Troubleshoot poor operation.
gPROMS modelling advantages
gPROMS's capabilities for modelling of PSA and VSA systems include:- A general-purpose modelling language within an equation-oriented framework that allows rate-based modelling of detailed pore diffusion, reverse-flow hydraulics and all the other key effects, within a flowsheet representation.
- Dynamic modelling, including dynamic simulation, as a standard capability
- A powerful task langu
age that allows easy description of complex operating procedures in parameterised form, enabling subsequent optimisation. - Dynamic optimisation, to allow optimisation of both the equipment physical attributes and operating procedures required in order to reach the optimal cyclic steady state.
- Rapid and robust solution techniques, essential in order to handle the complex mathematical solution.
Example 1: RPSA process using Zeolite adsorbent
Example 1 involves a simple simulation of the production of oxygen-enriched air using a zeolite 5A adsorbent in a rapid pressure-swing adsorption (RPSA) process. Key equations used in the model are:The process was simulated to analyse the steady-state behaviour. Sample results are shown below.
Example 2: Modified Skarstrom cycle
Example 2 involves the simultaneous optimisation of the design and operation of a more complex 2-bed 6-step PSA for producing nitrogen from air using a molecular carbon sieve adsorbent.

| The 6-step cycle involves: | |
| Pressurisation | 2s |
| Adsorption | 60s |
| 1st pressure equalisation | 2s |
| Blowdown | 2s |
| Desorption | 60s |
| 2nd pressure equalisation | 2s |
| Total | 128s |
The sequence for the two beds is shown on the right.
Dynamic optimisation was used to determine:

- Optimal values for equipment design parameters such as bed length
- Optimal operating condition values such as feed pressure
- Optimal times for each step of the operation.
The resulting design maximises the production of nitrogen at cyclic steady state.
The results of the optimisation are shown in the table above.


