Operation and Control of Pressure Swing Adsorption Systems

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Operation and Control of Pressure Swing Adsorption Systems ( operation-and-control-pressure-swing-adsorption-systems )

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Chapter 5. Simultaneous Design and Control Optimization of PSA Systems Under Uncertainty 1. Feed temperature variations in a sinusoidal fashion with decaying amplitude as defined in Eq. 5.8 2. Step increase in PSA feedrate by 0.35 Nm3/hr, as defined in Eq. 5.9 3. Bounded uncertainty in the hydrogen feed molar fraction, varying from 68 % to 73 %. tpres RecoveryH2 = ∫ P urity t∫ 􏱱􏱱 t∫ 􏱱􏱱 f eed purge CH2 UAbed􏱱􏱱 dt CH2 UAbed􏱱􏱱 z=L,BED1 dt − tbldn z=L,BED2 dt × 100 (5.6) 􏱱􏱱 CH2 UAbed􏱱􏱱 t∫ 􏱱􏱱 t∫ 􏱱􏱱 CH2 UAbed􏱱􏱱 dt − CH2 UAbed􏱱􏱱 􏱱􏱱 CH2 UAbed􏱱􏱱 tpres 0 tf eed ∫ dt + f eed purge tpres [ Ncomp tf eed tpurge z=L,BED1 tbldn H2 ∑∫ 􏱱􏱱 ∫ 􏱱􏱱 = ] ×100 (5.7) (5.8) (5.9) z=0,BED1 tpres z=0,BED1 dt z=L,BED2 dt z=L,BED2 e−t/5 CiUAbed􏱱􏱱 i=1 tpres z=L dt − tbldn CH2 UAbed􏱱􏱱 T (t) = T 0 feed feed + 15sin (2πt) 10 Q ̇feed(t) = Q ̇0feed if t ≤ 0 = Q ̇0feed +0.35 otherwise For providing the controller action, a SISO PI controller (Eq. 5.10) is as- sumed, where purity is the control variable and feed step duration is considered as the manipulative variable [73]. Furthermore, integral square error (ISE) [142] 112

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