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4 Experimental program 45 Fig. 4.5-3. The measured air demand is scattered around the Monte Carlo-simulated mean value – especially in the case of the 100 ppm data set, the experimentally found value is far from the peak of the normal distribution function. However, the deliberated data point cannot be considered as incorrect, but only as less likely to be measured. Tab. 4.5-3 Results of the reproducibility test Productivity [m3n/h N2 / m3 CMS] 1 2 58.17 3 4 58.16 5 6 58.15 7 8 58.16 9 10 58.16 𝐗̅ 𝛔 0.007 𝛔𝐗̅ Air demand [m3n/h air / m3n/h N2] Explicit method Implicit method GMB OMB 4.93 4.94 4.93 4.94 4.94 4.94 4.94 4.97 4.94 4.97 0.014 0.022 Relative error δexp [%] 0.20 0.20 0.00 0.61 0.61 58.16 4.95 4.97 0.40 58.15 4.96 4.98 0.40 58.17 4.96 4.97 0.20 58.16 4.97 4.99 0.40 58.17 4.93 4.92 0.20 58.16 4.95 4.96 0.01 % 0.29 % 0.45 % Fig. 4.5-3 Normal distribution of the air demand at different product purity levels The distribution of the relative error δsim is presented in Fig. 4.5-4. The relative error δsim of the air demand is determined in every Monte Carlo run from the difference between Eq. 4.4-5 and 4.4-6. δsim surpasses δexp with a corresponding probability at every deliberated product purity level. This finding confirms that determination and comparison of differently calculated air demand values provide a very sensitive method to prove; and thus, to accept or to discard experimental high-purity data.PDF Image | Modelling and Simulation of Twin-Bed Pressure Swing Adsorption Plants
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