A thermodynamically equivalent structure (TES) is the distinct feature of a thermally coupled configuration. This paper presents the synthesis and optimal design of thermodynamically equivalent thermally coupled systems for multicomponent distillations. First, the original thermally coupled configurations (OTCs) for traditional distillation configurations with sharp splits are generated. Then, generation of all of the possible TESs for the OTCs is presented. Two rules are developed for synthesizing the possible TESs for any OTC involving both sharp and sloppy splits. Formulas are derived to calculate the number of TESs for an n-component mixture. It is observed that there exist intrinsic uneven distributions of vapor and liquid flows between columns of the OTCs. The TESs provide the opportunities to redistribute the vapor and liquid flows between columns and thus improve column equipment designs of an OTC. Heuristics and a simple procedure have been approached to find an optimal TES.
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