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Table 6.8: Decision variables and the root-point at which ROM is built Variable High operating bed pressure (PH) Low operating bed pressure (PL) Pressurization step time (tp) Adsorption step time (ta) Feed velocity (ufeed) Regeneration velocity (ureg) Value 500 kPa 150 kPa 5 sec 50 sec 0.1 m/sec -0.05 m/sec 6.5 Case Study - Hydrogen PSA Table 6.9: Optimization results for Case I Problem size and computational time No. of variables No. of constraints Total no. of iterations Total CPU sec. Optimal parameters High operating bed pressure (PH) Low operating bed pressure (PL) Pressurization step time (tp) Adsorption step time (ta) Comparison of performance variables H2 purity H2 recovery CH4 purity CH4 recovery 42760 42756 15 195.44 520 kPa 130 kPa 3 sec 53 sec ROM (AMPL) 0.9988 0.1628 0.9541 0.1771 Rigorous model (MATLAB) 0.9991 0.1629 0.9491 0.1769 of decision variables together with the CPU time are listed in Table 6.9. Within the bounded region, we observe an increase in the recovery of hydrogen up to 16.3%. The optimum point is achieved in only 195 CPU seconds as ROM based on 5-rank approximation (200 DAEs) is used for optimization. Moreover, optimization is performed cheaply since few iterations are needed to achieve the optimum. To validate accuracy of optimization results, we simulate the rigorous model using the method of lines approach in MATLAB at the optimal values of decision variables. Purities and recoveries obtained from the rigorous model simulation is also listed in Table 6.9. We observe that these values are reasonably close to the ones obtained after the ROM-based optimization Chapter 6. Reduced-order Modeling for Optimization 125PDF Image | Design and Operation of Pressure Swing Adsorption Processes
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