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We also solve Problem (6.44) with slightly relaxed bounds as shown below: 480kPa≤PH ≤520kPa 3≤tp ≤7 0.08≤ufeed ≤0.12 130kPa≤PL ≤170kPa 47≤ta ≤53 −0.053≤ureg ≤−0.047 (6.45) Within this new trust-region, hydrogen recovery could be increased to 21.6%. However, ob- taining this extra increment in recovery is marred by oscillatory solution profiles in the ROM. Figure 6.10 shows the profiles of the gas-phase mole fraction of methane obtained after ROM optimization in AMPL. It can be observed that profiles are oscillatory for the adsorption and 6.5 Case Study - Hydrogen PSA Figure 6.10: Methane mole fraction profiles for ROM for relaxed bounds in Case II Unlike previous case, we observe that in this case the hydrogen purity constraint is violated slightly by the rigorous model at the optimum. Rigorous model gives a hydrogen purity of 99.74% which is slighly less than the desired lower bound 99.8%. Hence, we infer that attaining feasibility in a ROM-based optimization problem cannot guarantee feasibility for the original optimization problem, even with a small trust-region. A more systematic algorithm to ensure feasibility in both problems will be developed in the next chapter. Chapter 6. Reduced-order Modeling for Optimization 132PDF Image | Design and Operation of Pressure Swing Adsorption Processes
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