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Chapter 4. Explicit/Multi-Parametric MPC Control of PSA Systems Table 4.2: Boundary conditions for the feed, first and second depressurization steps, for the nine step PSA cycle z=0 z=L Feed UAbed = Q ̇feed Ci=Pyifeed RT T = Tfeed First co-current depressur- ization U = 0 ∂Ci =0 P = Pproduct ∂Ci =0 ∂Z ∂T ∂Z ∂Z ∂T ∂Z = 0 U = fvalve ∂Ci =0 ∂Z ∂T =0 =0 () P, Pcope2, CV codep1 () P, Ppurge, CVcodep2 ∂Z U = fvalve ∂Ci =0 ∂Z ∂T =0 =0 ∂Z Second co-current depres- surization U = 0 ∂Ci =0 ∂Z ∂T ∂Z = = U where Time varying boundary conditions corresponding to each process step of the PSA cycle at both ends of the column are shown in tables 4.2, 4.3, and 4.4, where fvalve (Phigh, Plow, CV ) function corresponds to Eq. (4.18). fvalve (Phigh, Plow, CV ) √ ( )2 ( ) R CV 1 − Plow if Phigh < Pcritical επD2 Phigh √ ( )2 Plow =RCV1−1 otherwise επD2 Pcritical ()γ 21−γ Cp Pcritical = 1+γ γ = Cp −R (4.18) 71PDF Image | Operation and Control of Pressure Swing Adsorption Systems
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