A design procedure for thermally coupled distillation sequences for the separation of four-component mixtures is presented. The schemes analyzed include a sequence with a side rectifierand a side stripper and a sequence with a prefractionator (Petlyuk-type column). Initial designsfor the thermally coupled distillation sequences are obtained from the tray distribution of aconventional distillation sequence and then optimized for energy consumption using twointerconnecting flows as search variables. Several tray arrangements for each thermally coupleddesign were analyzed, and the results show that the sequence with side columns can reach alower energy consumption.