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- 2009 Annual Meeting
- Computing and Systems Technology Division
- Modeling and Control of Energy Systems
- (212c) Impact of Energy Integration On Dynamics and Control of Process Networks
In the present paper, we consider a generic prototype process, which captures the structural and dynamic properties of various energy integrated process networks, such as reactor-feed effluent heat exchangers, heat integrated distillation columns, multiple effect evaporators, etc (including the ones considered in [1,2]). Specifically, we focus on the case of tight energy integration, whereby large amounts of heat are typically exchanged at small temperature gradients and/or transported by material streams with large flowrates. The presence of energy flows of different orders of magnitude in such networks is shown to lead to a multi-scale dynamic behavior. We employ elements from singular perturbation theory to derive reduced-order models in the different time scales. Furthermore, we rely on the resulting non-stiff, nonlinear models to introduce a cadre for control system design which naturally accounts for the time scale multiplicity of the class of processes considered.
Two illustrating examples, a double effect distillation column configuration and a solid oxide fuel cell (SOFC)-reformer system, are considered. The double effect distillation system shows a two-time-scale dynamic behavior with energy balance variables evolving in the fast time scale and material balance variables evolving in the slow time scale (characteristic of the class of high energy throughout networks). Exploiting this time scale multiplicity, we propose a hierarchical control strategy specifically addressing the control of temperatures in the fast time scale and the control of compositions in the slow time scale. Along similar lines, the dynamic analysis and a subsequent hierarchical control system design are addressed for the SOFC-reformer system, which belongs to the class of high energy recycle. Simulation case studies are presented to demonstrate the effectiveness of the proposed controllers.
References:
[1] M. Baldea and P. Daoutidis, Modeling, dynamics and control of process networks with high energy throughput, Comput. Chem. Eng. 32 (2008) 1964-1983.
[2] S. S. Jogwar, M. Baldea, P. Daoutidis, Dynamics and control of process networks with large energy recycle, Ind. Eng. Chem. Res. Article ASAP (2009) DOI: 10.1021/ie801050b.