Process systems with energy recycling

The previous chapters have concentrated on analyzing the material-balance dynamics of several classes of integrated process systems. We demonstrated that the dynamic behavior of the systems considered exhibits several time scales and described a method for the derivation of reduced-order models describing the dynamics in each time scale. Also, a hierarchical controller design framework was introduced, with distributed control of the fast dynamics and supervisory control of the dynamics at the systems level. 

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To proceed with the analysis, we note that the structure of the process in Figure 7.1 is very similar to that of the processes with significant energy recycle considered in the previous chapter (Figure 6.1), with the obvious and necessary distinction that in the present case Q n Qout. Thus, using Assumptions 6.1-6.3, the dynamic behavior of the process in Figure 7.1 can be modeled by a system of equations of the type (6.10), that is... 

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