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Chapter 5. Simultaneous Design and Control Optimization of PSA Systems Under Uncertainty 5.3 A Framework For Simultaneous Design and Control Optimization of PSA Systems Un- der Uncertainty In general, a system designed only under nominal conditions is liable to fail for small changes of uncertain conditions, in terms of constraint violations and per- formance degradation. To obtain an optimal PSA design which is operable under the full range of uncertain parameters, and known time varying disturbances, a rigorous and systematic approach [98, 12] is employed. The framework in Figure 5.2 depicts the employed methodology comprising three main steps. Step 1 In this step, the uncertainty parameter (hydrogen feed composition) is discretized into a finite number of critical scenarios. Since the hydrogen feed composition can vary from 68 % to 73 %, three critical scenarios are chosen for discretization purposes (i.e. Ns = 3 in Eq. 5.14). The first scenario corresponds to 73 % feed composition with probability of 15 %, the second scenario corre- spond to 68 % hydrogen feed composition with 15 % probability, while the third represents the nominal case of 70 % hydrogen feed composition with 70 % proba- bility. The resulting simultaneous design and control optimization formulation is depicted in Eq. 5.14, where hd1 and hc1 are the equality constraints representing 119PDF Image | Operation and Control of Pressure Swing Adsorption Systems
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