Networks of distillation columns, used for multicomponent separations, show the potential for energy integration via coupling of some of the energy sources and sinks. Energy integration in such networks results in significant energy savings, but it also comes at the expense of control challenges. In this paper, we analyze various networks of distillation columns with significant energy integration. We identify key dynamic characteristics of such networks, which help in addressing the corresponding control problem. A case of a double effect distillation column is considered for a more detailed dynamic analysis and control study.